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Grade K
Topic 1 – Sorting and Classifying                   Topic 6 – Addition
1-1       Same and Different                        6-1    Stories About Joining                          Topic 12 – Length
1-2       Sorting by One Attribute                  62     More Joining                                   12-1     Comparing and Ordering by Size
1-3       Sorting the Same Set in Different Ways    6-3    Joining Groups                                 12-2     Comparing by Length
1-4       Which Doesn’t Belong?                     6-4    Using the Plus Sign                            12-3     Ordering by Length
1-5       Problem Solving: Use Logical Reasoning    6-5    Finding Sums                                   12-4     Measuring Length
1-6       Problem Solving: Use Objects              6-6    Addition Sentences                             12-5     Measuring Length Using Different Units
                                                    6-7    Problem Solving: Draw a Picture                12-6     Problem Solving: Try, Check, and Revise
Topic 2 – One to Five                                                                                     12-7     Problem Solving: Use Objects
2-1       Counting 1, 2, and 3                      Topic 7 – Subtraction
2-2       Reading and Writing 1, 2, and 3           7-1    Stories About Separating                       Topic 13 – Capacity and Weight
2-3       Counting 4                                7-2    Stories About Take Away                        13-1     Comparing Capacities
2-4       Making 4                                  7-3    Stories About Comparing                        13-2     Ordering by Capacity
2-5       Counting 5                                7-4    Using the Minus Sign                           13-3     Measuring Capacity
2-6       Making 5                                  7-5    Finding Differences                            13-4     Comparing Weights
2-7       Reading and Writing 4 and 5               7-6    Subtraction Sentences                          13-5     Ordering by Weight
2-8       Problem Solving: Make a Table             7-7    Problem Solving: Act It Out                    13-6     Measuring Weight
                                                                                                          13-9     Problem Solving: Try, Check, and Revise
Topic 3 – More and Fewer                            Topic 8 – Numbers to 20
3-1       More, Fewer, and Same As                  8-1       Counting, Reading, and Writing 11 and 12    Topic 14 – Time
3-2       1 and 2 More                              8-2       Counting, Reading, and Writing 13 and 14    14-1     More Time and Less time
3-2       1 and 2 Fewer                             8-3       Counting, Reading, and Writing 15 and 16    14-2     Order of the Day
3-4       Zero                                      8-4       Counting, Reading, and Writing 17 and 18    14-3     Order of Events
3-5       Reading and Writing Zero                  8-5       Counting, Reading, and Writing 19 and 20    14-4     Finding Numbers on Clocks
3-6       Ordering Numbers Zero through 5           8-6       Problem Solving: Look for a Pattern         14-5     Telling Time to the Hour
3-7       Ordinal Numbers through Fifth                                                                   14-6     Times of Events
3-8       Problem Solving: Make an Organized List   Topic 9 – Numbers to 30                               14-7     Problem Solving: Use Logical Reasoning
                                                    9-1       Counting to 30
Topic 4 – Six to Ten                                9-2       About How Many?                             Topic 15 – Calendar
4-1       Counting 6                                9-3       Reading and Writing Numbers through 30      15-1     Day of the Week
4-2       Making 6                                  9-4       Comparing Numbers                           15-2     Yesterday, Today and Tomorrow
4-3       Counting 7                                9-5       Ordering Numbers through 30                 15-3     Numbers on a Calendar
4-4       Making 7                                  9-6       Estimating Sums of Big Numbers              15-4     Calendar
4-5       Reading and Writing 6 and 7               9-7      Estimating Differences of Big Numbers        15-5     Problem Solving: Draw a Picture
4-6       Counting 8                                9-8      Problem Solving: Look for a Pattern
4-7       Making 8
4-8       Counting 9                                Topic 10 – Patterns                                   Topic 16 – Graphing
4-9       Making 9                                  10-1     Color Patterns                               16-1     As Many, More, and Fewer
4-10      Reading and Writing 8 and 9               10-2     Shape Patterns                               16-2     Collecting Data
4-11      Counting 10                               10-3     Comparing Patterns                           16-3     Real Graphs
4-12      Making 10                                 10-4     Using Patterns to Predict What Comes Next    16-4     Picture Graphs
4-13      Reading and Writing 10                    10-5     Extending Patterns                           16-5     Problem Solving: Make a Graph
4-14     Problem Solving: Make a Graph              10-6     Creating Patterns
                                                    10-7     Problem Solving: Look for a Pattern
Topic 5 – Comparing Numbers
5-1       Comparing Numbers through 10              Topic 11 – Geometry
5-2       Comparing Numbers to 5                    11-1     Rectangles                                  End of Year: Step-up Lessons for Grade 1
5-3       Comparing Numbers to 10                   11-2     Squares
5-4       Ordinal Numbers through Tenth             11-3     Circles
5-5       1 More                                    11-4     Triangles
5-6      1 Fewer                                    11-5     Solid Figures
5-7      2 More                                     11-6     Comparing Solid Figures
5-8      2 Fewer                                    11-7     Flat Surfaces of Solid Figures
5-9      Ordering Numbers 0 through 10              11-8     Problem Solving: Use Objects
5-5      Problem Solving: Use Objects
st
1 Grade
Topic 1 - Numbers to 12                         Topic 8 - Geometry                                      14-7        Adding Three Numbers
1-1       0-5                                   8-1         Identify Plane Shapes                       14-8        Problem Solving: Two Question Problems
1-2       6-10                                  8-2         Properties of Plane Shapes
1-3       10,11,12                              8-3         Problem Solving: Make an Organized List     Topic 15- Subtraction Facts to 20
1-4       Spatial Patterns to 9                 8-4         Identifying Solid Figures                   15-1       Using Related Facts
1-5       Spatial Patterns to 10                8-5         Flat Surfaces and Corners                   15-2       Fact Families
1-6       Problem Solving: Use Objects          8-6         Sorting Solid Figures                       15-3       Using Addition to Subtract
                                                8-7         Making New Shapes from Shapes               15-4       Subtraction Facts
Topic 2 - Comparing/Ordering Numbers            8-8         Location of Shapes                          15-5       Problem Solving: Draw a Picture
2-1       Comparing Two Numbers                                                                                    and Write a Number Sentence
2-2       Ordering Three Numbers                Topic 9 - Patterns
2-3       Ordering Numbers to 12- Number Line   9-1         Describing Patterns                         Topic 1 - Practicing Addition and Subtraction Facts
2-4       Problem Solving: Act It Out           9-2         Using Patterns to Predict                   16-1        Practicing Addition Facts
                                                9-3         Extending Shape Patterns                    16-2        Fact Families
Topic 3 - Understanding Addition                9-4         Problem Solving: Look for a Pattern         16-3        Using Addition Facts to Subtract
3-1       Making 6 and 7                                                                                16-4        Problem Solving: Use Objects
3-2       Making 8                              Topic 10- Time
3-2       Making 9                              10-1        Understanding the Hour and Minute Hands     Topic 17 - Data and Graphs
3-4       Introduce Number Sentences            10-2        Telling and Writing Time to the Hour        17-1        Using Data from Real Graphs
3-5       Stories About Joining                 10-3        Telling and Writing Time to the Half Hour   17-2        Using Data from Picture Graphs
3-6       Adding in Any Order                   10-4        Estimating and Ordering Lengths of Time     17-3        Using Data from Bar Graphs
3-7       Problem Solving: Use Objects          10-5        Problem Solving: Use Data from a Table      17-4        Sorting
                                                                                                        17-5        Collecting Data Using Tally Marks
Topic 4 - Understanding Subtraction             Topic 11- Counting and Number Patterns to 100           17-6        Making Real Graphs
4-1       Finding Missing Parts 6-7             11-1       Making Numbers 11-20                         17-7        Making Picture Graphs
4-2       Finding Missing Parts 8               11-2       Using Numbers 11-20                          17-8        Problem Solving: Make a Graph
4-3       Finding Missing Parts 9               11-3       Counting by 10s to 100
4-4       Introducing Number Sentences          11-4       Counting Forward on a Hundred Chart          Topic 18 - Counting Money
4-5       Stories About Separating              11-5       Counting Back on a Hundred Chart             18-1        Values of Penny and Nickel
4-6       Stories About Comparing               11-6       Counting Patterns on a Hundred Chart         18-2        Values of Penny, Nickel and Dime
4-7       Connecting Addition and Subtraction   11-7       Using Skip Counting                          18-3        Counting Dimes, Nickels and Pennies
4-8       Problem Solving: Use Objects          11-8       Odd and Even Numbers                         18-4        Value of Quarter
                                                11-9       Problem Solving: Look for a Pattern          18-5        Value of Half-Dollar
Topic 5- Five and Ten Relationships                                                                     18-6        Counting Sets of Coins
5-1       Representing Numbers on a Ten-Frame   Topic 12 - Tens and Ones                                18-7        Problem Solving: Try, Check, Revise
5-2       Recognizing Numbers on a Ten-Frame    12-1        Counting with Groups of 10 and Leftovers
5-3       Parts of 10                           12-2        Numbers Made with Tens                      Topic 19 - Measurement
5-4       Finding Missing Parts of 10           12-3        Tens and Ones                               19-1        Comparing and Ordering by Length
5-5       Problem Solving: Make a Table         12-4        Ways to Make Numbers                        19-2        Using Units to Estimate and Measure Length
                                                12-5        Tens and Ones on a Hundred Chart            19-3        Unit Size and Measuring
Topic 6 - Addition Facts to 12                  12-6        Problem Solving: Make an Organized List     19-4        Comparing and Ordering by Volume
6-1       Addition: Adding with 0,1,2                                                                   19-5        Comparing and Ordering by Weight
6-2       Addition: Doubles                     Topic 13- Comparing/Ordering Numbers to 100             19-6        Problem Solving: Use Reasoning
6-3       Addition: Near Doubles                13-1       1 More, 1 Less; 10 More, 10 Less
6-4       Addition: Facts w/5 on a Ten-Frame    13-2       Comparing Numbers with >,<, =                Topic 20 - Adding and Subtracting with Tens and Ones
6-5       Addition: Making 10 on a Ten-Frame    13-3       Ordering Numbers with a 100's Chart          20-1        Adding Groups of 10
6-6       Problem Solving: Draw a Picture and   13-4       Number Line Estimation                       20-2        Adding Tens on a Hundred Chart
          Write a Number Sentence               13-5       Before, After, and Between                   20-3        Adding on a Hundred Chart
                                                13-6       Ordering Three Numbers                       20-4        Adding Tens to Two-Digit Numbers
Topic 7 - Subtraction Facts to 12               13-7       Ordinal Numbers Through Tenth                20-5        Adding to a Two-Digit Number
7-1       Subtracting with 0,1,2                13-8       Making Reasonable Estimates                  20-6        Subtracting Tens on a Hundred Chart
7-2       Thinking Addition with Doubles        13-9       Problem Solving: Make an Organized List      20-7        Subtracting Tens from Two-Digit Numbers
7-3       Thinking Addition to 8                                                                        20-8        Subtracting from a Two-Digit Number
7-4       Thinking Addition to 12               Topic 14 - Addition Facts to 20                         20-9        Problem Solving: Extra Information
7-5       Problem Solving: Draw a Picture and   14-1        Doubles to 20
          Write a Number Sentence               14-2        Doubles Plus 1
                                                14-3        Doubles Plus 2                              End of Year: Step-up Lessons for Grade 2
                                                14-4        Making 10 to Add
                                                14-5        Making 10 to Add 9
                                                14-6        Making 10 to Add 8
nd
2     Grade
Topic 1 – Understanding Addition and               7-4         Adding On to Subtract                          14-4        Bar Graphs
 Subtraction                                       7-5         Problem Solving: Missing or Extra              14-5        Problem Solving: Use a Graph
1-1       Writing Addition Number Sentences                             Information
1-2       Stories About Joining                                                                               Topic 15- Place Value: Numbers to 1,000
1-3       Writing Subtraction Number Sentences     Topic 8 – Estimating Sums and Differences                  15-1        Reading and Writing Numbers to 1,000
1-4       Stories About Separating                 8-1         Finding the Closest Ten                        15-2        Changing Numbers by Hundreds and Tens
1-5       Stories About Comparing                  8-2         Estimating Sums                                15-3        Patterns with Numbers on Hundreds Charts
1-6       Connecting Addition and Subtraction      8-3         Estimating Differences                         15-4        Comparing Numbers
1-7       Problem Solving: Use Objects             8-4         Problem Solving: Use Reasoning                 15-5        Before, After, and Between
                                                                                                              15-6        Ordering Numbers
Topic 2 – Addition Strategies                      Topic 9 – Adding Two-Digit Numbers                         15-7        Problem Solving: Look for a Pattern
2-1      Adding 0, 1, 2                            9-1        Regrouping 10 Ones for 1 Ten
2-2      Doubles                                   9-2        Models to Add Two- and One-Digit Numbers        Topic 16 – Counting Money
2-3      Near Doubles                              9-3        Adding Two- and One-Digit Numbers               16-1        Dime, Nickel, and Penny
2-4      Adding in Any Order                       9-4        Models to Add Tow-Digit Numbers                 16-2        Quarter and Half-Dollar
2-5      Adding Three Numbers                      9-5        Adding Two-Digit Numbers                        16-3        Counting Collections of Coins
2-6      Making 10 to Add 9                        9-6        Problem Solving: Draw a Picture and Write a     16-4        Comparing Collections of Coins
2-7      Making 10 to Add 8                                   Number Sentence                                 16-5        Ways to Show the Same Amount
2-8      Problem Solving: Draw a Picture and                                                                  16-6        One Dollar
         Write a Number Sentence                   Topic 10- Subtracting Two-Digit Numbers                    16-7        Problem Solving: Make an Organized List
                                                   10-1       Regrouping 1 Ten for 10 Ones
Topic 3 – Subtraction Strategies                   10-2       Models to Subtract Two- and One-Digit Numbers   Topic 17 – Three-Digit Addition and Subtraction
3-1       Subtracting 0, 1, 2                      10-3       Subtracting Two- and One-Digit Numbers          17-1        Mental Math
3-2       Thinking Addition to Subtract Doubles    10-4       Models to Subtract Two-Digit Numbers            17-2        Estimating Sums
3-3       Thinking Addition to 10 to Subtract      10-5       Subtracting Two-Digit Numbers                   17-3        Models for Adding with Three-Digit Numbers
3-4       Thinking Addition to 18 to Subtract      10-6       Using Addition to Check Subtraction             17-4        Adding Three-Digit Numbers
3-5       Finding the Missing Part                 10-7       Problem Solving: Two-Question Problems          17-5        Mental Math: Ways to Find Missing Parts
3-6       Problem Solving: Two-Question Problems                                                              17-6        Estimating Differences
                                                   Topic 11- Linear Measurement                               17-7        Models for Subtracting with Three-Digit Numbers
Topic 4 – Place Value: Numbers to 100              11-1        Understanding Measurement                      17-8        Subtracting Three-Digit Numbers
4-1       Models for Tens                          11-2        Measuring Length Using Different Units         17-9        Problem Solving: Make a Graph
4-2       Models for Tens and Ones                 11-3        Inches
4-3       Reading and Writing Numbers              11-4        Centimeters                                    Topic 18 – Multiplication Concepts
4-4       Using Models to Compare Numbers          11-5        Estimating Measurements                        18-1        Repeated Addition and Multiplication
4-5       Using Symbols to Compare Numbers         11-6        Problem Solving: Use Objects                   18-2        Building Arrays
4-6       Before, After, and Between                                                                          18-3        Writing Multiplication Stories
4-7       Order Numbers                            Topic 12 - Fractions                                       18-4        Vertical Form
4-8       Number Patterns on a Hundred Chart       12-1        Wholes and Equal Parts                         18-5        Multiplying in Any Order
4-9       Locating Numbers on a Number Chart       12-2        Unit Fractions and Regions                     18-6        Problem Solving: Draw a Picture and Write
4-10      Problem Solving: Use Data from a Chart   12-3        Non-Unit Fractions and Regions                             a Number Sentence
                                                   12-4        Fractions of a Set
                                                   12-5        Understanding 1 as a Fraction                  Topic 19 – Measurement Facts
Topic 5 – Geometry
                                                   12-6        Fractions and Decimals                         19-1        2 and 5 as Factors
5-1       Flat Surfaces, Vertices, and Edges
                                                   12-7        Problem Solving: Use Objects                   19-2        10 as a Factor
5-2       Relating Plane Shapes to Solid Figures
                                                                                                              19-3        Practicing with 2s, 5s, and 10s
5-3       Making New Spaces
                                                   Topic 13- Time                                             19-4        Problem Solving: Look for a Pattern
5-4       Cutting Shapes Apart
5-5       Problem Solving: Use Reasoning           13-1        Telling Time to Five Minutes
                                                                                                              Topic 20 – Division Concepts and Facts
                                                   13-2        Telling Time to the Quarter Hour
                                                                                                              20-1        Division as Sharing
Topic 6 – Mental Addition                          13-3        Telling Time Before and After the Hour
                                                                                                              20-2        Division as Repeated Subtraction
6-1       Adding Tens                              13-4        Estimating Time
                                                                                                              20-3        Writing Division Stories
6-2       Adding Ones                              13-5        Elapsed Time
                                                                                                              20-4        Relating Multiplication and Division
6-3       Adding Tens and Ones                     13-6        Using a Calendar
                                                                                                              20-5        Fact Families for 2 and 5
6-4       Adding on a Hundred Chart                13-7        Equivalent Times
                                                                                                              20-6        Fact Families for 10
6-5       Problem Solving: Look for a Pattern      13-8        Problem Solving: Multiple-Step Problems
                                                                                                              20-7        Division and Remainders
                                                                                                              20-8        Problem Solving: Make a Table and Look
Topic 7 – Mental Subtraction                       Topic 14 – Data and Graphs
                                                                                                                          for a Pattern
7-1       Subtracting Tens                         14-1        Organizing Data
7-2       Finding Parts of 100                     14-2        Range and Mode
7-3       Subtraction on a Hundred Chart           14-3        Pictographs                                    End of Year: Step-up Lessons for Grade 3
rd
3 Grade
Topic 1 – Numeration                               7-3         Multiplying with 0 and 1                       14-7         Multiplying 3- and 4-Digit Numbers
1-1       Hundreds                                 7-4         10 as a Factor                                 14-8         Problem Solving: Draw a Picture and Write a
1-2       Thousands                                7-5         Problem Solving: Two-Question Problems                      Number Sentence
1-3       Greater Numbers
                                                   Topic 8 – Multiplication Facts: Use Known Facts            Topic 15- Dividing by 1-Digit Numbers
1-4       Comparing Numbers
                                                   8-1        3 as a Factor                                   15-1        Mental Math
1-5       Ordering Numbers
                                                   8-2        4 as a Factor                                   15-2        Estimating Quotients
1-6       Problem Solving: Make an Organized
                                                   8-3        6 and 7 as Factors                              15-3        Connecting Models and Symbols
          List
                                                   8-4        8 as a Factor                                   15-4        Dividing 2-Digit Numbers
Topic 2 – Rounding                                 8-5        Multiplying with 3 Factors                      15-5        Dividing 3- and 4-Digit Numbers
2-1       Finding the Halfway Number               8-6        Problem Solving: Multiple-Step Problems         15-6        Zero in the Quotient
2-2       Rounding 2- and 3-Digit Numbers                                                                     15-7        Dividing with Remainders
                                                   Topic 9 – Division Concepts                                15-8        Problem Solving: Multiple-Step Problems
2-3       Rounding 4-Digit Numbers                 9-1         Division as Sharing
2-4       Problem Solving: Try, Check and Revise   9-2         Division as Repeated Subtraction               Topic 16 – Customary Measurement
                                                   9-3         Writing Division Stories                       16-1        Understanding Measurement
Topic 3 – Adding Whole Numbers                     9-4         Problem Solving: Act It Out
3-1      Addition Meaning and Properties                                                                      16-2        Fractions of an Inch
3-2      Adding on a Hundred Chart                 Topic 10- Division Facts                                   16-3        Using Inches, Fee, Yards and Miles
3-3      Using Mental Math to Add - Stop and       10-1        Relating Multiplication and Division           16-4        Customary Units of Capacity
         Practice                                  10-2        Fact Families with 2, 3, 4, and 5              16-5        Units of Weight
3-4      Estimating Sums                           10-3        Fact Families with 6 and 7                     16-6        Converting Units
3-5      Adding 2-Digit Numbers                    10-4        Fact Families with 8 and 9                     16-7        Units of Time
3-6      Adding 3- and 4-Digit Numbers             10-5        Dividing with 0 and 1                          16-8        Elapsed Time
3-7      Adding 3 or More Numbers                  10-6        Problem Solving: Draw a Picture and Write a    16-9        Problem Solving: Work Backward
3-6      Problem Solving: Reasonableness                       Number Sentence                                Topic 17 –   Metric Measurement
Topic 4 – Subtracting Whole Numbers                Topic 11- Patterns and Relationship                        17-1         Centimeters and Decimeters
4-1       Subtraction Meanings                     11-1       Repeating Patterns                              17-2         Meters and Kilometers – Stop and Practice
4-2       Subtracting on a Hundred chart           11-2       Number Sequences                                17-3         Metric Units of Capacity
4-3       Using Mental Math to Subtract            11-3       Extending Tables                                17-4         Units of Mass
4-4       Estimating Differences                   11-4       Writing Rules for Situations                    17-5         Converting Units
4-5       Subtraction 2-Digit Numbers              11-5       Translating Words to Expressions                17-6         Problem Solving: Make a Table and Look
4-6       Models for Subtracting 3-Digit Numbers   11-6       Problem Solving: Act It Out                                  for a Pattern
4-7       Subtracting 3-Digit Numbers
                                                   Topic 12 – Fraction Concepts                               Topic 18 – Perimeter, Area, and Volume
4-8       Subtracting Greater Numbers
                                                   12-1        Dividing Regions into Equal Parts              18-1        Understanding Perimeter
4-9       Subtracting Across Zero
                                                   12-2        Fractions and Regions                          18-2        Perimeter of Common Shapes
4-10      Problem Solving: Draw a Picture and
                                                   12-3        Fractions of a Set                             18-3        Understanding Area
          Write a Number Sentence
                                                   12-4        Fractions and Length                           18-4        Estimating and Measuring Area
Topic 5 – Solids and Shapes                        12-5        Using Models to Compare Fractions              18-5        Volume – Stop and Practice
5-1       Solid Figures                            12-6        Finding Equivalent Fractions                   18-6        Problem Solving: Solve a Simpler Problem
5-2       Relating Solids and Shapes               12-7        Using Equivalent Fractions
                                                   12-8        Problem Solving: Make a Table and Look for a   Topic 19 – Decimal Operations and Money
5-3       Breaking Apart Solids
                                                               Pattern                                        19-1        Fractions and Decimals
5-4       Lines, Segments, and Angles
                                                                                                              19-2        Using Money to Understand Decimals
5-5       Polygons
                                                   Topic 13- Adding and Subtracting Fractions                 19-3        Adding and Subtracting with Money
5-6       Triangles
                                                   13-1       Using Models to Add Fractions                   19-4        Multiplying with Money
5-7       Quadrilaterals
                                                   13-2       Adding Fractions                                19-5        Dividing with Money
5-8       Problem Solving: Make and Test
                                                   13-3       Using Models to Subtract Fractions              19-6        Problem Solving: Missing or Extra Information
          Generalizations
                                                   13-4       Subtracting Fractions
                                                   13-5       Problem Solving: Draw a Picture and Write a     Topic 20 – Data and Probability
Topic 6 – Multiplication Concepts
                                                              Number Sentence                                 20-1        Using Tally Charts
6-1       Multiplication as Repeated Addition
                                                                                                              20-2        How Likely?
6-2       Arrays and Multiplication                Topic 14 – Multiplying Greater Numbers                     20-3        Outcomes and Experiments
6-3       Using Multiplication to Compare          14-1        Using Mental Math to Multiply                  20-4        Line Plots and Probability
6-4       Writing Multiplication Stories           14-2        Estimating Products                            20-5        Making Bar Graphs to Show Outcomes
6-5       Problem Solving: Writing to Explain      14-3        Multiplication and Arrays                      20-6        Problem Solving: Make and Use Graphs
Topic 7 – Multiplication Facts: Use Patterns       14-4        Breaking Apart to Multiply                                 to Draw Conclusions
7-1       2 and 5 as Factors                       14.5        Using an Expanded Algorithm
7-2       9 as a Factor                            14-6        Multiplying 2-Digit Numbers
                                                                                                              End of Year: Step-up Lessons for Grade 4
th
4 Grade
Topic 1 – Numeration                                    6.4        Multiplying 2-Digit Numbers and Multiples of Ten   12-5         Multiplying and Dividing with Decimals
1-1       Thousands                                     6-5        Multiplying 2-Digit by 2-Digit Numbers             12-6         Problem Solving: Try, Check, and Revise
1-2       Millions                                      6-6        Multiplying Greater Numbers by 2-Digit Numbers
                                                        6-7        Problem Solving: Two-Question Problems             Topic 13- Solving Equations
1-3       Comparing and Ordering Whole Numbers                                                                        13-1       Equal or Not Equal
1-4       Understanding Zeros in Place Value            Topic 7 – Dividing by 1-Digit Divisors                        13-2       Solving Addition and Subtraction Equations
1-5       Problem Solving: Make an Organized            7-1         Using Mental Math to Divide                       13-3       Solving Multiplication and Division Equations
          List                                          7-2         Estimating Quotients                              13-4       Translating Words to Equations
Topic 2 – Addition and Subtraction Number Sense         7-3         Dividing with Remainders                          13-5       Problem Solving: Work Backward
2-1      Understanding Rounding                         7-4         Connecting Models and Symbols
                                                        7-5         Dividing 2-Digit by 1-Digit Numbers               Topic 14 – Integers
2-2      Rounding Whole Numbers                                                                                       14-1        Understanding Integers
2-3      Using Mental Math to Add and Subtract          7-6         Dividing 3-Digit by 1-Digit Numbers
                                                        7-7         Deciding Where to Start Dividing                  14-2        Comparing Integers
2-4      Estimating Sums and Differences of Whole                                                                     14-3        Ordering Integers
         Numbers                                        7-8         Division and Zero
                                                        7-9         Factors                                           14-4        Problem Solving: Draw a Picture
2-5      Problem Solving: Mission or Extra
         Information                                    7-10        Prime and Composite Numbers                       Topic 15- Measurement, Perimeter, and Area
2-6      Adding Whole Numbers                           7-11        Problem Solving: Multiple-Step Problems – Stop    15-1       Customary Measures
2-7      Subtracting Whole Numbers                                  and Practice                                      15-2       Metric Measures
2-8      Subtracting Across Zeros                       Topic 8 – Lines, Angles, Shapes, and Solids                   15-3       Perimeter
2-9      Problem Solving: Draw a Picture and Write      8-1         Points, Lines, and Planes                         15-4       Area of Squares and Rectangles
         and Equation                                   8-2         Line Segments, Rays, and Angles                   15-5       Areas of Irregular Shapes
                                                        8-3         Polygons                                          15-6       Same Perimeter, Different Area
Topic 3 – Multiplication and Division: Meanings and
                                                        8-4         Triangles                                         15-7       Same Area, Different Perimeter
Facts
                                                        8-5         Quadrilaterals                                    15-8       Problem Solving: Solve a Simpler Problem
3-1       Meanings for Multiplication
                                                        8-6         Circles                                                      and Make a Table – Stop and Practice
3-2       Patterns for Facts
3-3       Multiplication Properties                     8-7         Solids                                            Topic 16 – Data and Graphs
3-4       3, 4, 6, 7 and 8 as Factors                   8-8         Views of Solids: Nets                             16-1        Data from Surveys
3-5       Problem Solving: Look for a Pattern           8-9         Views of Solids: Perspective                      16-2        Interpreting Graphs
3-6       Meanings for Division                         8-10        Problem Solving: Make and Test Generalizations    16-3        Line Plots
3-7       Relating Multiplication and Division          Topic 9 – Fraction Meanings and Concepts                      16-4        Means
3-8       Special Quotients                             9-1         Regions and Sets                                  16-5        Median, Mode, and Range
3-9       Using Multiplication Facts to Find Division   9-2         Fractions and Division                            16-6        Problem Solving: Make a Graph
          Facts                                         9-3         Equivalent Fractions
3-10      Problem Solving: Draw a Picture and Write                                                                   Topic 17 –   Lengths and Coordinates
                                                        9-4         Fractions in Simplest Form
          and Equation – Stop and Practice                                                                            17-1         Ordered Pairs
                                                        9-5         Improper Fractions and Mixed Numbers
                                                                                                                      17-2         Shapes on Coordinate Grids – Stop and Practice
Topic 4 – Multiplying by 1-Digit Numbers                9-6         Comparing Fractions
                                                                                                                      17-3         Lengths of Horizontal and Vertical Line Segments
4-1       Multiplying by Multiples of 10 and 100        9-7         Ordering Fractions
                                                                                                                      17-4         Problem Solving: Solve a Simpler Problem
4-2       Using Mental Math to Multiply                 9-8         Problem Solving: Writing to Explain – Stop and
4-3       Using Rounding to Estimate                                Practice                                          Topic 18 – Formulas and Equations
4-4       Using an Expanded Algorithm                                                                                 18-1        Formulas and Equations
                                                        Topic 10- Addition and Subtraction of Fractions
4-5       Multiplying 2-Digit by 1-Digit Numbers                                                                      18-2        Addition and Subtraction Patterns and Equations
                                                        10-1       Adding and Subtracting Fractions with Like
4-6       Multiplying 3-Digit by 1-Digit Numbers                                                                      18-3        Multiplication and Division Patterns and Equations
                                                                   Denominators
4-7       Multiplying Greater Numbers by 1-Digit                                                                      18-4        Graphing Equations
                                                        10-2       Adding Fractions with Unlike Denominators
          Numbers                                                                                                     18-5        More Graphing Equations
                                                        10-3       Subtracting Fractions with Unlike Denominators
4-8       Problem Solving: Reasonableness – Stop                                                                      18-6        Problem Solving: Make a Table
                                                        10-4       Problem Solving: Draw a Picture and Write an
          and Practice                                             Equations                                          Topic 19 – Congruence and Symmetry
Topic 5 – Variables and Expressions                     Topic 11- Fraction and Decimal Concepts                       19-1        Congruent Figures
5-1       Variables and Expressions                     11-1        Decimal Place Value                               19-2        Line Symmetry
5-2       Equality                                      11-2        Comparing and Ordering Decimals                   19-3        Rational Symmetry
5-3       Expressions with Parentheses                  11-3        Fractions and Decimals                            19-4        Problem Solving: Draw a Picture
5-4       Simplifying Expressions                       11-4        Fractions and Decimals on the Number Line
5-8       Problem Solving: Act it Out and Use                                                                         Topic 20 – Probability
                                                        11-5        Mixed Numbers and Decimals on the Number Line     20-1        Finding Combinations
          Reasoning – Stop and Practice                 11-6        Problem Solving: Use Objects and Make a Table     20-2        Outcomes and Tree Diagrams
Topic 6 – Multiplying by 2-Digit Numbers                Topic 12 – Operations with Decimals                           20-3        Writing Probability as a Fraction
6-1       Using Mental Math to Multiply 2-Digit         12-1        Rounding Decimals                                 20-4        Problem Solving: Use Reasoning
          Numbers                                       12-2        Estimating Sums and Differences of Decimals
6-2       Estimating Products                           12-3        Models for Adding and Subtracting Decimals        End of Year: Step-up Lessons for Grade 5
6-3       Arrays and an Expanded Algorithm              12-4        Adding and Subtracting Decimals
th
5 Grade
Topic 1 – Numeration                                        7-3         Estimation: Decimals Divided by Whole Numbers
                                                            7-4         Dividing a Decimal by a Decimal                      Topic 14 – Solids
1-1       Place Value                                                                                                        14-1        Solids
1-2       Comparing and Ordering Whole Numbers              7-5         Problem Solving: Multiple-Step Problems – Stop
                                                                        and Practice                                         14-2        Relating Shapes and Solids
1-3       Decimal Place Value                                                                                                14-3        Surface Area
1-4       Comparing and Ordering Decimals                   Topic 8 – Shapes                                                 14-4        Views of Solids
1-5       Problem Solving: Look for a Pattern –             8-1         Basic Geometric Ideas – Stop and Practice            14-5        Models and Volume
          Stop and Practice                                 8-2         Measuring and Classifying Angles                     14-6        Volume – Stop and Practice
Topic 2 – Addition and Subtraction Number Sense             8-3         Polygons                                             14-7        Problem Solving: Use Objects and Solve a
2-1      Mental Math                                        8-4         Triangles                                                        Simpler Problem
2-2      Rounding Whole Number and Decimals                 8-5         Quadrilaterals
                                                            8-6         Problem Solving: Make and Test Generalizations       Topic 15- Integers
2-3      Estimating Sums and Differences
                                                                                                                             15-1        Understanding Integers
2-4      Adding and Subtracting – Stop and Practice         Topic 9 – Factors and Multiples                                  15-2        Comparing and Ordering Integers
2-5      Adding Decimals                                    9-1         Understanding Factors                                15-3        Integers and the Number Line
2-6      Subtracting Decimals                               9-2         Prime and Composite Numbers                          15-4        Adding Integers – Stop and Practice
2-7      Problem Solving: Draw a Picture and Write          9-3         Finding Prime Factors                                15-5        Subtracting Integers
         an Equation – Stop and Practice                    9-4         Common Factors and Greatest Common Factors           15-6        Simplifying Expressions
Topic 3 – Reviewing Multiplication of Whole Numbers         9-5         Problem Solving: Try, Check, and Revise              15-7        Problem Solving: Work Backward
3-1       Multiplication Properties                         Topic 10- Fractions, Mixed Numbers, and Decimals
3-2       Estimating Products                                                                                                Topic 16 – Solving and Writing Equations
                                                            10-1        Meaning of Fractions                                 16-1        Solving Addition and Subtraction Equations
3-3       Multiplying by 1-Digit Numbers                    10-2        Fractions and Divisions
3-4       Multiplying by 2-Digit Numbers – Stop and                                                                          16-2        Solving Multiplication and Division Equations
                                                            10-3        Mixed Numbers and Improper Fractions                 16-3        Problem Solving: Use Reasoning
          Practice                                          10-4        Equivalent Fractions
3-5       Estimating and Multiplying with Greater Numbers                                                                    16-4        Patterns and Equations – Stop and Practice
                                                            10-5        Comparing and Ordering Fractions and Mixed Numbers   16-5        More Patterns and Equations
3-6       Exponents                                         10-6        Fractions in Simplest Forms –Stop and Practice
3-7       Problem Solving: Multiple-Step Problems                                                                            16-6        Problem Solving: Draw a Picture and Write
                                                            10-7        Tenths and Hundredths                                            an Equation
Topic 4 – Division of Whole Numbers                         10-8        Thousandths
4-1       Using Patterns to Divide                          10-9        Fractions and Decimals on the Number Line            Topic 17 –   Percents
4-2       Estimating Quotients                              10-10       Problem Solving: Writing to Explain                  17-1         Understanding Ratios
4-3       Connecting Models and Symbols – Stop and                                                                           17-2         Understanding Percent
                                                            Topic 11- Adding and Subtracting Fractions and Mixed
          Practice                                                                                                           17-3         Percents, Fractions, and Decimals
                                                            Numbers
4-4       Dividing by 1-Digit Divisors                                                                                       17-4         Finding Percent of a Whole Number
                                                            11-1       Adding and Subtracting Fractions with Like
4-5       Zero in the Quotient                                                                                               17-5         Problem Solving: Make a Table and Look
                                                                       Denominators
4-6       Dividing by 2-Digit Divisors                                                                                                    for a Pattern
                                                            11-2       Common Multiples and LCM
4-7       More Dividing by 2-Digit Divisors – Stop and      11-3       Adding Fractions with Unlike Denominators             Topic 18 – Equations and Graphs
          Practice                                          11-4       Subtracting Fractions with Unlike Denominators        18-1        Ordered Pairs – Stop and Practice
4-8       Estimating and Dividing with Greater Numbers      11-5       Adding Mixed Numbers                                  18-2        Line Graphs
4-9       Problem Solving: Draw a Picture and Write         11-6       Subtracting Mixed Numbers                             18-3        Graphing Equations
          and Equation                                      11-7       Problem Solving: Look for a Pattern                   18-4        Problem Solving: Work Backward
Topic 5 – Variables and Expressions                         Topic 12 – Multiplying and Dividing Fractions and Mixed          Topic 19 – Graphs and Data
5-1       Variables and Expressions                                     Numbers                                              19-1        Bar Graphs and Picture Graphs – Stop and
5-2       Patterns and Expressions – Stop and Practice      12-1        Multiplying Factions and Whole Numbers                           Practice
5-3       More Patterns and Expressions                     12-2        Multiplying Two Fractions – Stop and Practice        19-2        Histograms
5-4       Distributive Property                             12-3        Dividing a Whole Number by a Fraction                19-3        Circle Graphs
5-5       Order of Operations                               12-4        Dividing Two Fractions                               19-4        Make a Graph
5-6       Problem Solving: Act It Out and Use               12-5        Problem Solving: Mission or Extra Information        19-5        Mean
          Reasoning                                         12-6        Multiplying Mixed Numbers                            19-6        Median, Mode, and Range
Topic 6 – Multiplying Decimals                              12-7        Dividing Mixed Numbers                               19-7        Outcomes
6-1       Multiplying Decimals by 10, 100, or 1,000         12-8        Problem Solving: Draw a Picture and Write an         19-8        Problem Solving: Writing Probability as a
6-2       Multiplying a Whole Number and a Decimal                      Equation                                                         Fraction
6-3       Estimating the Product of a Whole Number and      Topic 13- Length, Perimeter, and Area
          Decimal                                                                                                            Topic 20 – Constructions
                                                            13-1        Using Customary Units of Length                      20-1        Constructing Angles
6.4       Multiplying Two Decimals                          13-2        Using Metric Units of Length
6-5       Multiplying with Zeros in the Product                                                                              20-2        Constructing Lines – Stop and Practice
                                                            13-3        Perimeter – Stop and Practice                        20-3        Constructing Shapes
6-6       Problem Solving: Reasonableness                   13-4        Area of Squares and Rectangles                       20-4        Problem Solving: Use Objects
Topic 7 – Dividing Decimals                                 13-5        Area of Parallelograms
7-1       Dividing Decimals by 10, 100, or 1,000            13-6        Area of Triangles
                                                            13-7        Problem Solving: Draw a Picture and Make an          End of Year: Step-up Lessons for Grade 6
7-2       Dividing a Decimal by a Whole Number
                                                                        Organized List
th
6 Grade
Topic 1 – Numeration                                      Topic 7 – Number and Fraction Concepts                      Topic 14 – Equations and Graphs
1-1       Place Value                                     7-1       Prime Factorization                               14-1     Equations With More Than One Operation
1-2       Comparing and Ordering Whole Numbers            7-2       Greatest Common Factor                            14-2     Patterns and Equations
1-3       Exponents and Place Value                       7-3       Understanding Factors                             14-3     More Patterns and Equations
1-4       Decimal Place Value                             7-4       Equivalent Fractions                              14-4     Graphing Points in a Coordinate Plane
1-5       Comparing and Ordering Decimals                 7-5       Fractions in Simplest Form                        14-5     Graphing Equations
1-6      Problem Solving: Make an Organized List          7-6       Problem Solving: Make and Test Conjectures        14-6     Graphing Equations with More than One Operation
                                                                                                                      14-7     Problem Solving: Act It Out and Use Logical
                                                          Topic 8 – Decimals, Fractions, and Mixed Numbers
Topic 2 – Variables, Expressions, and Properties                                                                               Reasoning
                                                          8-1       Fractions and Division
2-1       Using Variables to Write Expressions            8-2       Fractions and Decimals                            Topic 15 – Measurement
2-2       Properties of Operations                        8-3       Improper Fractions and Mixed Numbers              15-1     Converting Customary Measures
2-3       Order of Operations                             8-4       Decimal Forms of Fractions and Mixed Numbers      15-2     Converting Metric Measures
2-4       The Distributive Property                       8-5       Rational Numbers on a Number Line                 15-3     Relating Customary and Metric Measures
2-5       Mental Math                                     8-6      Problem Solving: Draw a Picture                    15-4     Problem Solving: Use Reasoning
2-6       Evaluating Expressions
2-7       Using Expressions to Describe Patterns          Topic 9 – Adding and Subtracting Fractions and Mixed        Topic 16 – Perimeter and Area
2-8       Problem Solving: Make a Table – Stop and                 Numbers                                            16-1     Perimeter
          Practice                                        9-1      Adding and Subtracting: Like Denominators          16-2     Area of Squares and Rectangles
                                                          9-2      Least Common Multiple                              16-3     Area of Parallelograms and Triangles
Topic 3 – Whole Numbers and Decimals                      9-3      Adding and Subtracting: Unlike Denominators
3-1       Estimating with Whole Numbers                                                                               16-4     Circumference
                                                          9-4      Estimating Sums and Differences of Mixed Numbers   16-5     Area of a Circle
3-2       Estimating with Decimals                        9-5      Adding Mixed Numbers
3-3       Adding and Subtracting                                                                                      16-6     Problem Solving: Use Objects
                                                          9-6      Subtracting Mixed Numbers
3-4       Multiplying                                     9-7      Problem Solving: Make a Table
3-5       Dividing by a Whole Number                                                                                  Topic 17 – Volume
3-6       Dividing by a Decimal                           Topic 10- Multiplying and Dividing Fractions and Mixed      17-1     Solid Figures
3-7       Evaluating Expressions                          Numbers                                                     17-2     Volume of Rectangular Prisms
3-8       Problem Solving: Multiple-Step Problems –       10-1     Multiplying Fractions                              17-3     Volume of Triangular Prisms and Cylinders
          Stop and Practice                               10-2     Understanding Division of Fractions                17-4     Problem Solving: Use Objects and Reasoning
                                                          10-3     Dividing Fractions
Topic 4 – Solving Equations                               10-4     Estimating Products and Quotients                  Topic 18 – Graphs
4-1       Properties of Equality                          10-5     Multiplying Mixed Numbers                          18-1     Reading and Making Graphs
4-2       Solving Addition and Subtraction Equations      10-6     Dividing Mixed Numbers                             18-2     Circle Graphs
4-3       Problem Solving: Draw a Picture and Write       10-7     Solving Equations                                  18-3     Misleading Graphs
          and Equation                                    10-8     Problem Solving: Look for a Pattern                18-4     Problem Solving: Make a Graph
4-4       Solving Multiplication and Division Equations
4-5       Problem Solving: Draw a Picture and Write       Topic 11- Ratios, Rates, and Proportions                    Topic 19 – Data and Statistics
          and Equation – Stop and Practice                11-1     Understanding Ratios                               19-1     Mean, Median, Mode, and Range
                                                          11-2     Equal Ratios and Proportions                       19-2     Line Plots
Topic 5 – Integers                                        11-3     Understanding Rates and Unit Rates                 19-3     Effects of Outliers
5-1       Understanding Integers                          11-4     Comparing Rates                                    19-4     Stem-and-Leaf Plots
5-2       Comparing and Ordering Integers                 11-5     Distance, Rate, and Time                           19-5     Appropriate Use of Statistical Measures
5-3       Adding Integers                                 11-6     Problem Solving: Draw a Picture                    19-6     Sampling Methods
5-4       Subtracting Integers
                                                          Topic 12 – Solving Proportions                              19-7     Population and Sample Data
5-5       Multiplying Integers
                                                          12-1     Using Ratio Tables                                 19-8     Bias in Sampling and Surveys
5-6       Dividing Integers
                                                          12-2     Using Unit Rates                                   19-9     Using Statistics to Draw Conclusions
5-7       Solving Equations with Integers
                                                          12-3     Using Cross Multiplication                         19-10    Problem Solving: Try, Check, and Revise
5-8       Problem Solving: Work Backward – Stop
and       Practice                                        12-4     Problem Solving: Writing to Explain                Topic 20 –Probability
                                                          12-5     Similar Figures                                    20-1     Counting Methods
Topic 6 – Properties of Two-Dimensional Figures           12-6     Maps and Scale Drawings
6-1       Basic Geometric Ideas                                                                                       20-2     Permutations and Combinations
6-2       Measuring and Drawing Angles                    Topic 13- Understanding Percent                             20-3     Probability
6-3       Angle Pairs                                     13-1     Understanding Percent                              20-4     Theoretical and Experimental Probability
6.4       Triangles                                       13-2     Fractions, Decimals, and Percents                  20-5     Adding Probabilities
6-5       Quadrilaterals                                  13-3     Percents Greater Than 100 and Less Than 1          20-6     Independent and Dependent Events
6-6       Circles                                         13-4     Estimating Percent                                 20-4     Problem Solving: Make an Organized List
6-7       Problem Solving: Make a Table and Look for      13-5     Finding the Percent of a Number
          a Pattern                                       13-6     Tips, Taxes, Discount, and Simple Interest
                                                          13-7     Problem Solving: Reasonableness

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Envision Math K 6 Topic List

  • 1. Grade K Topic 1 – Sorting and Classifying Topic 6 – Addition 1-1 Same and Different 6-1 Stories About Joining Topic 12 – Length 1-2 Sorting by One Attribute 62 More Joining 12-1 Comparing and Ordering by Size 1-3 Sorting the Same Set in Different Ways 6-3 Joining Groups 12-2 Comparing by Length 1-4 Which Doesn’t Belong? 6-4 Using the Plus Sign 12-3 Ordering by Length 1-5 Problem Solving: Use Logical Reasoning 6-5 Finding Sums 12-4 Measuring Length 1-6 Problem Solving: Use Objects 6-6 Addition Sentences 12-5 Measuring Length Using Different Units 6-7 Problem Solving: Draw a Picture 12-6 Problem Solving: Try, Check, and Revise Topic 2 – One to Five 12-7 Problem Solving: Use Objects 2-1 Counting 1, 2, and 3 Topic 7 – Subtraction 2-2 Reading and Writing 1, 2, and 3 7-1 Stories About Separating Topic 13 – Capacity and Weight 2-3 Counting 4 7-2 Stories About Take Away 13-1 Comparing Capacities 2-4 Making 4 7-3 Stories About Comparing 13-2 Ordering by Capacity 2-5 Counting 5 7-4 Using the Minus Sign 13-3 Measuring Capacity 2-6 Making 5 7-5 Finding Differences 13-4 Comparing Weights 2-7 Reading and Writing 4 and 5 7-6 Subtraction Sentences 13-5 Ordering by Weight 2-8 Problem Solving: Make a Table 7-7 Problem Solving: Act It Out 13-6 Measuring Weight 13-9 Problem Solving: Try, Check, and Revise Topic 3 – More and Fewer Topic 8 – Numbers to 20 3-1 More, Fewer, and Same As 8-1 Counting, Reading, and Writing 11 and 12 Topic 14 – Time 3-2 1 and 2 More 8-2 Counting, Reading, and Writing 13 and 14 14-1 More Time and Less time 3-2 1 and 2 Fewer 8-3 Counting, Reading, and Writing 15 and 16 14-2 Order of the Day 3-4 Zero 8-4 Counting, Reading, and Writing 17 and 18 14-3 Order of Events 3-5 Reading and Writing Zero 8-5 Counting, Reading, and Writing 19 and 20 14-4 Finding Numbers on Clocks 3-6 Ordering Numbers Zero through 5 8-6 Problem Solving: Look for a Pattern 14-5 Telling Time to the Hour 3-7 Ordinal Numbers through Fifth 14-6 Times of Events 3-8 Problem Solving: Make an Organized List Topic 9 – Numbers to 30 14-7 Problem Solving: Use Logical Reasoning 9-1 Counting to 30 Topic 4 – Six to Ten 9-2 About How Many? Topic 15 – Calendar 4-1 Counting 6 9-3 Reading and Writing Numbers through 30 15-1 Day of the Week 4-2 Making 6 9-4 Comparing Numbers 15-2 Yesterday, Today and Tomorrow 4-3 Counting 7 9-5 Ordering Numbers through 30 15-3 Numbers on a Calendar 4-4 Making 7 9-6 Estimating Sums of Big Numbers 15-4 Calendar 4-5 Reading and Writing 6 and 7 9-7 Estimating Differences of Big Numbers 15-5 Problem Solving: Draw a Picture 4-6 Counting 8 9-8 Problem Solving: Look for a Pattern 4-7 Making 8 4-8 Counting 9 Topic 10 – Patterns Topic 16 – Graphing 4-9 Making 9 10-1 Color Patterns 16-1 As Many, More, and Fewer 4-10 Reading and Writing 8 and 9 10-2 Shape Patterns 16-2 Collecting Data 4-11 Counting 10 10-3 Comparing Patterns 16-3 Real Graphs 4-12 Making 10 10-4 Using Patterns to Predict What Comes Next 16-4 Picture Graphs 4-13 Reading and Writing 10 10-5 Extending Patterns 16-5 Problem Solving: Make a Graph 4-14 Problem Solving: Make a Graph 10-6 Creating Patterns 10-7 Problem Solving: Look for a Pattern Topic 5 – Comparing Numbers 5-1 Comparing Numbers through 10 Topic 11 – Geometry 5-2 Comparing Numbers to 5 11-1 Rectangles End of Year: Step-up Lessons for Grade 1 5-3 Comparing Numbers to 10 11-2 Squares 5-4 Ordinal Numbers through Tenth 11-3 Circles 5-5 1 More 11-4 Triangles 5-6 1 Fewer 11-5 Solid Figures 5-7 2 More 11-6 Comparing Solid Figures 5-8 2 Fewer 11-7 Flat Surfaces of Solid Figures 5-9 Ordering Numbers 0 through 10 11-8 Problem Solving: Use Objects 5-5 Problem Solving: Use Objects
  • 2. st 1 Grade Topic 1 - Numbers to 12 Topic 8 - Geometry 14-7 Adding Three Numbers 1-1 0-5 8-1 Identify Plane Shapes 14-8 Problem Solving: Two Question Problems 1-2 6-10 8-2 Properties of Plane Shapes 1-3 10,11,12 8-3 Problem Solving: Make an Organized List Topic 15- Subtraction Facts to 20 1-4 Spatial Patterns to 9 8-4 Identifying Solid Figures 15-1 Using Related Facts 1-5 Spatial Patterns to 10 8-5 Flat Surfaces and Corners 15-2 Fact Families 1-6 Problem Solving: Use Objects 8-6 Sorting Solid Figures 15-3 Using Addition to Subtract 8-7 Making New Shapes from Shapes 15-4 Subtraction Facts Topic 2 - Comparing/Ordering Numbers 8-8 Location of Shapes 15-5 Problem Solving: Draw a Picture 2-1 Comparing Two Numbers and Write a Number Sentence 2-2 Ordering Three Numbers Topic 9 - Patterns 2-3 Ordering Numbers to 12- Number Line 9-1 Describing Patterns Topic 1 - Practicing Addition and Subtraction Facts 2-4 Problem Solving: Act It Out 9-2 Using Patterns to Predict 16-1 Practicing Addition Facts 9-3 Extending Shape Patterns 16-2 Fact Families Topic 3 - Understanding Addition 9-4 Problem Solving: Look for a Pattern 16-3 Using Addition Facts to Subtract 3-1 Making 6 and 7 16-4 Problem Solving: Use Objects 3-2 Making 8 Topic 10- Time 3-2 Making 9 10-1 Understanding the Hour and Minute Hands Topic 17 - Data and Graphs 3-4 Introduce Number Sentences 10-2 Telling and Writing Time to the Hour 17-1 Using Data from Real Graphs 3-5 Stories About Joining 10-3 Telling and Writing Time to the Half Hour 17-2 Using Data from Picture Graphs 3-6 Adding in Any Order 10-4 Estimating and Ordering Lengths of Time 17-3 Using Data from Bar Graphs 3-7 Problem Solving: Use Objects 10-5 Problem Solving: Use Data from a Table 17-4 Sorting 17-5 Collecting Data Using Tally Marks Topic 4 - Understanding Subtraction Topic 11- Counting and Number Patterns to 100 17-6 Making Real Graphs 4-1 Finding Missing Parts 6-7 11-1 Making Numbers 11-20 17-7 Making Picture Graphs 4-2 Finding Missing Parts 8 11-2 Using Numbers 11-20 17-8 Problem Solving: Make a Graph 4-3 Finding Missing Parts 9 11-3 Counting by 10s to 100 4-4 Introducing Number Sentences 11-4 Counting Forward on a Hundred Chart Topic 18 - Counting Money 4-5 Stories About Separating 11-5 Counting Back on a Hundred Chart 18-1 Values of Penny and Nickel 4-6 Stories About Comparing 11-6 Counting Patterns on a Hundred Chart 18-2 Values of Penny, Nickel and Dime 4-7 Connecting Addition and Subtraction 11-7 Using Skip Counting 18-3 Counting Dimes, Nickels and Pennies 4-8 Problem Solving: Use Objects 11-8 Odd and Even Numbers 18-4 Value of Quarter 11-9 Problem Solving: Look for a Pattern 18-5 Value of Half-Dollar Topic 5- Five and Ten Relationships 18-6 Counting Sets of Coins 5-1 Representing Numbers on a Ten-Frame Topic 12 - Tens and Ones 18-7 Problem Solving: Try, Check, Revise 5-2 Recognizing Numbers on a Ten-Frame 12-1 Counting with Groups of 10 and Leftovers 5-3 Parts of 10 12-2 Numbers Made with Tens Topic 19 - Measurement 5-4 Finding Missing Parts of 10 12-3 Tens and Ones 19-1 Comparing and Ordering by Length 5-5 Problem Solving: Make a Table 12-4 Ways to Make Numbers 19-2 Using Units to Estimate and Measure Length 12-5 Tens and Ones on a Hundred Chart 19-3 Unit Size and Measuring Topic 6 - Addition Facts to 12 12-6 Problem Solving: Make an Organized List 19-4 Comparing and Ordering by Volume 6-1 Addition: Adding with 0,1,2 19-5 Comparing and Ordering by Weight 6-2 Addition: Doubles Topic 13- Comparing/Ordering Numbers to 100 19-6 Problem Solving: Use Reasoning 6-3 Addition: Near Doubles 13-1 1 More, 1 Less; 10 More, 10 Less 6-4 Addition: Facts w/5 on a Ten-Frame 13-2 Comparing Numbers with >,<, = Topic 20 - Adding and Subtracting with Tens and Ones 6-5 Addition: Making 10 on a Ten-Frame 13-3 Ordering Numbers with a 100's Chart 20-1 Adding Groups of 10 6-6 Problem Solving: Draw a Picture and 13-4 Number Line Estimation 20-2 Adding Tens on a Hundred Chart Write a Number Sentence 13-5 Before, After, and Between 20-3 Adding on a Hundred Chart 13-6 Ordering Three Numbers 20-4 Adding Tens to Two-Digit Numbers Topic 7 - Subtraction Facts to 12 13-7 Ordinal Numbers Through Tenth 20-5 Adding to a Two-Digit Number 7-1 Subtracting with 0,1,2 13-8 Making Reasonable Estimates 20-6 Subtracting Tens on a Hundred Chart 7-2 Thinking Addition with Doubles 13-9 Problem Solving: Make an Organized List 20-7 Subtracting Tens from Two-Digit Numbers 7-3 Thinking Addition to 8 20-8 Subtracting from a Two-Digit Number 7-4 Thinking Addition to 12 Topic 14 - Addition Facts to 20 20-9 Problem Solving: Extra Information 7-5 Problem Solving: Draw a Picture and 14-1 Doubles to 20 Write a Number Sentence 14-2 Doubles Plus 1 14-3 Doubles Plus 2 End of Year: Step-up Lessons for Grade 2 14-4 Making 10 to Add 14-5 Making 10 to Add 9 14-6 Making 10 to Add 8
  • 3. nd 2 Grade Topic 1 – Understanding Addition and 7-4 Adding On to Subtract 14-4 Bar Graphs Subtraction 7-5 Problem Solving: Missing or Extra 14-5 Problem Solving: Use a Graph 1-1 Writing Addition Number Sentences Information 1-2 Stories About Joining Topic 15- Place Value: Numbers to 1,000 1-3 Writing Subtraction Number Sentences Topic 8 – Estimating Sums and Differences 15-1 Reading and Writing Numbers to 1,000 1-4 Stories About Separating 8-1 Finding the Closest Ten 15-2 Changing Numbers by Hundreds and Tens 1-5 Stories About Comparing 8-2 Estimating Sums 15-3 Patterns with Numbers on Hundreds Charts 1-6 Connecting Addition and Subtraction 8-3 Estimating Differences 15-4 Comparing Numbers 1-7 Problem Solving: Use Objects 8-4 Problem Solving: Use Reasoning 15-5 Before, After, and Between 15-6 Ordering Numbers Topic 2 – Addition Strategies Topic 9 – Adding Two-Digit Numbers 15-7 Problem Solving: Look for a Pattern 2-1 Adding 0, 1, 2 9-1 Regrouping 10 Ones for 1 Ten 2-2 Doubles 9-2 Models to Add Two- and One-Digit Numbers Topic 16 – Counting Money 2-3 Near Doubles 9-3 Adding Two- and One-Digit Numbers 16-1 Dime, Nickel, and Penny 2-4 Adding in Any Order 9-4 Models to Add Tow-Digit Numbers 16-2 Quarter and Half-Dollar 2-5 Adding Three Numbers 9-5 Adding Two-Digit Numbers 16-3 Counting Collections of Coins 2-6 Making 10 to Add 9 9-6 Problem Solving: Draw a Picture and Write a 16-4 Comparing Collections of Coins 2-7 Making 10 to Add 8 Number Sentence 16-5 Ways to Show the Same Amount 2-8 Problem Solving: Draw a Picture and 16-6 One Dollar Write a Number Sentence Topic 10- Subtracting Two-Digit Numbers 16-7 Problem Solving: Make an Organized List 10-1 Regrouping 1 Ten for 10 Ones Topic 3 – Subtraction Strategies 10-2 Models to Subtract Two- and One-Digit Numbers Topic 17 – Three-Digit Addition and Subtraction 3-1 Subtracting 0, 1, 2 10-3 Subtracting Two- and One-Digit Numbers 17-1 Mental Math 3-2 Thinking Addition to Subtract Doubles 10-4 Models to Subtract Two-Digit Numbers 17-2 Estimating Sums 3-3 Thinking Addition to 10 to Subtract 10-5 Subtracting Two-Digit Numbers 17-3 Models for Adding with Three-Digit Numbers 3-4 Thinking Addition to 18 to Subtract 10-6 Using Addition to Check Subtraction 17-4 Adding Three-Digit Numbers 3-5 Finding the Missing Part 10-7 Problem Solving: Two-Question Problems 17-5 Mental Math: Ways to Find Missing Parts 3-6 Problem Solving: Two-Question Problems 17-6 Estimating Differences Topic 11- Linear Measurement 17-7 Models for Subtracting with Three-Digit Numbers Topic 4 – Place Value: Numbers to 100 11-1 Understanding Measurement 17-8 Subtracting Three-Digit Numbers 4-1 Models for Tens 11-2 Measuring Length Using Different Units 17-9 Problem Solving: Make a Graph 4-2 Models for Tens and Ones 11-3 Inches 4-3 Reading and Writing Numbers 11-4 Centimeters Topic 18 – Multiplication Concepts 4-4 Using Models to Compare Numbers 11-5 Estimating Measurements 18-1 Repeated Addition and Multiplication 4-5 Using Symbols to Compare Numbers 11-6 Problem Solving: Use Objects 18-2 Building Arrays 4-6 Before, After, and Between 18-3 Writing Multiplication Stories 4-7 Order Numbers Topic 12 - Fractions 18-4 Vertical Form 4-8 Number Patterns on a Hundred Chart 12-1 Wholes and Equal Parts 18-5 Multiplying in Any Order 4-9 Locating Numbers on a Number Chart 12-2 Unit Fractions and Regions 18-6 Problem Solving: Draw a Picture and Write 4-10 Problem Solving: Use Data from a Chart 12-3 Non-Unit Fractions and Regions a Number Sentence 12-4 Fractions of a Set 12-5 Understanding 1 as a Fraction Topic 19 – Measurement Facts Topic 5 – Geometry 12-6 Fractions and Decimals 19-1 2 and 5 as Factors 5-1 Flat Surfaces, Vertices, and Edges 12-7 Problem Solving: Use Objects 19-2 10 as a Factor 5-2 Relating Plane Shapes to Solid Figures 19-3 Practicing with 2s, 5s, and 10s 5-3 Making New Spaces Topic 13- Time 19-4 Problem Solving: Look for a Pattern 5-4 Cutting Shapes Apart 5-5 Problem Solving: Use Reasoning 13-1 Telling Time to Five Minutes Topic 20 – Division Concepts and Facts 13-2 Telling Time to the Quarter Hour 20-1 Division as Sharing Topic 6 – Mental Addition 13-3 Telling Time Before and After the Hour 20-2 Division as Repeated Subtraction 6-1 Adding Tens 13-4 Estimating Time 20-3 Writing Division Stories 6-2 Adding Ones 13-5 Elapsed Time 20-4 Relating Multiplication and Division 6-3 Adding Tens and Ones 13-6 Using a Calendar 20-5 Fact Families for 2 and 5 6-4 Adding on a Hundred Chart 13-7 Equivalent Times 20-6 Fact Families for 10 6-5 Problem Solving: Look for a Pattern 13-8 Problem Solving: Multiple-Step Problems 20-7 Division and Remainders 20-8 Problem Solving: Make a Table and Look Topic 7 – Mental Subtraction Topic 14 – Data and Graphs for a Pattern 7-1 Subtracting Tens 14-1 Organizing Data 7-2 Finding Parts of 100 14-2 Range and Mode 7-3 Subtraction on a Hundred Chart 14-3 Pictographs End of Year: Step-up Lessons for Grade 3
  • 4. rd 3 Grade Topic 1 – Numeration 7-3 Multiplying with 0 and 1 14-7 Multiplying 3- and 4-Digit Numbers 1-1 Hundreds 7-4 10 as a Factor 14-8 Problem Solving: Draw a Picture and Write a 1-2 Thousands 7-5 Problem Solving: Two-Question Problems Number Sentence 1-3 Greater Numbers Topic 8 – Multiplication Facts: Use Known Facts Topic 15- Dividing by 1-Digit Numbers 1-4 Comparing Numbers 8-1 3 as a Factor 15-1 Mental Math 1-5 Ordering Numbers 8-2 4 as a Factor 15-2 Estimating Quotients 1-6 Problem Solving: Make an Organized 8-3 6 and 7 as Factors 15-3 Connecting Models and Symbols List 8-4 8 as a Factor 15-4 Dividing 2-Digit Numbers Topic 2 – Rounding 8-5 Multiplying with 3 Factors 15-5 Dividing 3- and 4-Digit Numbers 2-1 Finding the Halfway Number 8-6 Problem Solving: Multiple-Step Problems 15-6 Zero in the Quotient 2-2 Rounding 2- and 3-Digit Numbers 15-7 Dividing with Remainders Topic 9 – Division Concepts 15-8 Problem Solving: Multiple-Step Problems 2-3 Rounding 4-Digit Numbers 9-1 Division as Sharing 2-4 Problem Solving: Try, Check and Revise 9-2 Division as Repeated Subtraction Topic 16 – Customary Measurement 9-3 Writing Division Stories 16-1 Understanding Measurement Topic 3 – Adding Whole Numbers 9-4 Problem Solving: Act It Out 3-1 Addition Meaning and Properties 16-2 Fractions of an Inch 3-2 Adding on a Hundred Chart Topic 10- Division Facts 16-3 Using Inches, Fee, Yards and Miles 3-3 Using Mental Math to Add - Stop and 10-1 Relating Multiplication and Division 16-4 Customary Units of Capacity Practice 10-2 Fact Families with 2, 3, 4, and 5 16-5 Units of Weight 3-4 Estimating Sums 10-3 Fact Families with 6 and 7 16-6 Converting Units 3-5 Adding 2-Digit Numbers 10-4 Fact Families with 8 and 9 16-7 Units of Time 3-6 Adding 3- and 4-Digit Numbers 10-5 Dividing with 0 and 1 16-8 Elapsed Time 3-7 Adding 3 or More Numbers 10-6 Problem Solving: Draw a Picture and Write a 16-9 Problem Solving: Work Backward 3-6 Problem Solving: Reasonableness Number Sentence Topic 17 – Metric Measurement Topic 4 – Subtracting Whole Numbers Topic 11- Patterns and Relationship 17-1 Centimeters and Decimeters 4-1 Subtraction Meanings 11-1 Repeating Patterns 17-2 Meters and Kilometers – Stop and Practice 4-2 Subtracting on a Hundred chart 11-2 Number Sequences 17-3 Metric Units of Capacity 4-3 Using Mental Math to Subtract 11-3 Extending Tables 17-4 Units of Mass 4-4 Estimating Differences 11-4 Writing Rules for Situations 17-5 Converting Units 4-5 Subtraction 2-Digit Numbers 11-5 Translating Words to Expressions 17-6 Problem Solving: Make a Table and Look 4-6 Models for Subtracting 3-Digit Numbers 11-6 Problem Solving: Act It Out for a Pattern 4-7 Subtracting 3-Digit Numbers Topic 12 – Fraction Concepts Topic 18 – Perimeter, Area, and Volume 4-8 Subtracting Greater Numbers 12-1 Dividing Regions into Equal Parts 18-1 Understanding Perimeter 4-9 Subtracting Across Zero 12-2 Fractions and Regions 18-2 Perimeter of Common Shapes 4-10 Problem Solving: Draw a Picture and 12-3 Fractions of a Set 18-3 Understanding Area Write a Number Sentence 12-4 Fractions and Length 18-4 Estimating and Measuring Area Topic 5 – Solids and Shapes 12-5 Using Models to Compare Fractions 18-5 Volume – Stop and Practice 5-1 Solid Figures 12-6 Finding Equivalent Fractions 18-6 Problem Solving: Solve a Simpler Problem 5-2 Relating Solids and Shapes 12-7 Using Equivalent Fractions 12-8 Problem Solving: Make a Table and Look for a Topic 19 – Decimal Operations and Money 5-3 Breaking Apart Solids Pattern 19-1 Fractions and Decimals 5-4 Lines, Segments, and Angles 19-2 Using Money to Understand Decimals 5-5 Polygons Topic 13- Adding and Subtracting Fractions 19-3 Adding and Subtracting with Money 5-6 Triangles 13-1 Using Models to Add Fractions 19-4 Multiplying with Money 5-7 Quadrilaterals 13-2 Adding Fractions 19-5 Dividing with Money 5-8 Problem Solving: Make and Test 13-3 Using Models to Subtract Fractions 19-6 Problem Solving: Missing or Extra Information Generalizations 13-4 Subtracting Fractions 13-5 Problem Solving: Draw a Picture and Write a Topic 20 – Data and Probability Topic 6 – Multiplication Concepts Number Sentence 20-1 Using Tally Charts 6-1 Multiplication as Repeated Addition 20-2 How Likely? 6-2 Arrays and Multiplication Topic 14 – Multiplying Greater Numbers 20-3 Outcomes and Experiments 6-3 Using Multiplication to Compare 14-1 Using Mental Math to Multiply 20-4 Line Plots and Probability 6-4 Writing Multiplication Stories 14-2 Estimating Products 20-5 Making Bar Graphs to Show Outcomes 6-5 Problem Solving: Writing to Explain 14-3 Multiplication and Arrays 20-6 Problem Solving: Make and Use Graphs Topic 7 – Multiplication Facts: Use Patterns 14-4 Breaking Apart to Multiply to Draw Conclusions 7-1 2 and 5 as Factors 14.5 Using an Expanded Algorithm 7-2 9 as a Factor 14-6 Multiplying 2-Digit Numbers End of Year: Step-up Lessons for Grade 4
  • 5. th 4 Grade Topic 1 – Numeration 6.4 Multiplying 2-Digit Numbers and Multiples of Ten 12-5 Multiplying and Dividing with Decimals 1-1 Thousands 6-5 Multiplying 2-Digit by 2-Digit Numbers 12-6 Problem Solving: Try, Check, and Revise 1-2 Millions 6-6 Multiplying Greater Numbers by 2-Digit Numbers 6-7 Problem Solving: Two-Question Problems Topic 13- Solving Equations 1-3 Comparing and Ordering Whole Numbers 13-1 Equal or Not Equal 1-4 Understanding Zeros in Place Value Topic 7 – Dividing by 1-Digit Divisors 13-2 Solving Addition and Subtraction Equations 1-5 Problem Solving: Make an Organized 7-1 Using Mental Math to Divide 13-3 Solving Multiplication and Division Equations List 7-2 Estimating Quotients 13-4 Translating Words to Equations Topic 2 – Addition and Subtraction Number Sense 7-3 Dividing with Remainders 13-5 Problem Solving: Work Backward 2-1 Understanding Rounding 7-4 Connecting Models and Symbols 7-5 Dividing 2-Digit by 1-Digit Numbers Topic 14 – Integers 2-2 Rounding Whole Numbers 14-1 Understanding Integers 2-3 Using Mental Math to Add and Subtract 7-6 Dividing 3-Digit by 1-Digit Numbers 7-7 Deciding Where to Start Dividing 14-2 Comparing Integers 2-4 Estimating Sums and Differences of Whole 14-3 Ordering Integers Numbers 7-8 Division and Zero 7-9 Factors 14-4 Problem Solving: Draw a Picture 2-5 Problem Solving: Mission or Extra Information 7-10 Prime and Composite Numbers Topic 15- Measurement, Perimeter, and Area 2-6 Adding Whole Numbers 7-11 Problem Solving: Multiple-Step Problems – Stop 15-1 Customary Measures 2-7 Subtracting Whole Numbers and Practice 15-2 Metric Measures 2-8 Subtracting Across Zeros Topic 8 – Lines, Angles, Shapes, and Solids 15-3 Perimeter 2-9 Problem Solving: Draw a Picture and Write 8-1 Points, Lines, and Planes 15-4 Area of Squares and Rectangles and Equation 8-2 Line Segments, Rays, and Angles 15-5 Areas of Irregular Shapes 8-3 Polygons 15-6 Same Perimeter, Different Area Topic 3 – Multiplication and Division: Meanings and 8-4 Triangles 15-7 Same Area, Different Perimeter Facts 8-5 Quadrilaterals 15-8 Problem Solving: Solve a Simpler Problem 3-1 Meanings for Multiplication 8-6 Circles and Make a Table – Stop and Practice 3-2 Patterns for Facts 3-3 Multiplication Properties 8-7 Solids Topic 16 – Data and Graphs 3-4 3, 4, 6, 7 and 8 as Factors 8-8 Views of Solids: Nets 16-1 Data from Surveys 3-5 Problem Solving: Look for a Pattern 8-9 Views of Solids: Perspective 16-2 Interpreting Graphs 3-6 Meanings for Division 8-10 Problem Solving: Make and Test Generalizations 16-3 Line Plots 3-7 Relating Multiplication and Division Topic 9 – Fraction Meanings and Concepts 16-4 Means 3-8 Special Quotients 9-1 Regions and Sets 16-5 Median, Mode, and Range 3-9 Using Multiplication Facts to Find Division 9-2 Fractions and Division 16-6 Problem Solving: Make a Graph Facts 9-3 Equivalent Fractions 3-10 Problem Solving: Draw a Picture and Write Topic 17 – Lengths and Coordinates 9-4 Fractions in Simplest Form and Equation – Stop and Practice 17-1 Ordered Pairs 9-5 Improper Fractions and Mixed Numbers 17-2 Shapes on Coordinate Grids – Stop and Practice Topic 4 – Multiplying by 1-Digit Numbers 9-6 Comparing Fractions 17-3 Lengths of Horizontal and Vertical Line Segments 4-1 Multiplying by Multiples of 10 and 100 9-7 Ordering Fractions 17-4 Problem Solving: Solve a Simpler Problem 4-2 Using Mental Math to Multiply 9-8 Problem Solving: Writing to Explain – Stop and 4-3 Using Rounding to Estimate Practice Topic 18 – Formulas and Equations 4-4 Using an Expanded Algorithm 18-1 Formulas and Equations Topic 10- Addition and Subtraction of Fractions 4-5 Multiplying 2-Digit by 1-Digit Numbers 18-2 Addition and Subtraction Patterns and Equations 10-1 Adding and Subtracting Fractions with Like 4-6 Multiplying 3-Digit by 1-Digit Numbers 18-3 Multiplication and Division Patterns and Equations Denominators 4-7 Multiplying Greater Numbers by 1-Digit 18-4 Graphing Equations 10-2 Adding Fractions with Unlike Denominators Numbers 18-5 More Graphing Equations 10-3 Subtracting Fractions with Unlike Denominators 4-8 Problem Solving: Reasonableness – Stop 18-6 Problem Solving: Make a Table 10-4 Problem Solving: Draw a Picture and Write an and Practice Equations Topic 19 – Congruence and Symmetry Topic 5 – Variables and Expressions Topic 11- Fraction and Decimal Concepts 19-1 Congruent Figures 5-1 Variables and Expressions 11-1 Decimal Place Value 19-2 Line Symmetry 5-2 Equality 11-2 Comparing and Ordering Decimals 19-3 Rational Symmetry 5-3 Expressions with Parentheses 11-3 Fractions and Decimals 19-4 Problem Solving: Draw a Picture 5-4 Simplifying Expressions 11-4 Fractions and Decimals on the Number Line 5-8 Problem Solving: Act it Out and Use Topic 20 – Probability 11-5 Mixed Numbers and Decimals on the Number Line 20-1 Finding Combinations Reasoning – Stop and Practice 11-6 Problem Solving: Use Objects and Make a Table 20-2 Outcomes and Tree Diagrams Topic 6 – Multiplying by 2-Digit Numbers Topic 12 – Operations with Decimals 20-3 Writing Probability as a Fraction 6-1 Using Mental Math to Multiply 2-Digit 12-1 Rounding Decimals 20-4 Problem Solving: Use Reasoning Numbers 12-2 Estimating Sums and Differences of Decimals 6-2 Estimating Products 12-3 Models for Adding and Subtracting Decimals End of Year: Step-up Lessons for Grade 5 6-3 Arrays and an Expanded Algorithm 12-4 Adding and Subtracting Decimals
  • 6. th 5 Grade Topic 1 – Numeration 7-3 Estimation: Decimals Divided by Whole Numbers 7-4 Dividing a Decimal by a Decimal Topic 14 – Solids 1-1 Place Value 14-1 Solids 1-2 Comparing and Ordering Whole Numbers 7-5 Problem Solving: Multiple-Step Problems – Stop and Practice 14-2 Relating Shapes and Solids 1-3 Decimal Place Value 14-3 Surface Area 1-4 Comparing and Ordering Decimals Topic 8 – Shapes 14-4 Views of Solids 1-5 Problem Solving: Look for a Pattern – 8-1 Basic Geometric Ideas – Stop and Practice 14-5 Models and Volume Stop and Practice 8-2 Measuring and Classifying Angles 14-6 Volume – Stop and Practice Topic 2 – Addition and Subtraction Number Sense 8-3 Polygons 14-7 Problem Solving: Use Objects and Solve a 2-1 Mental Math 8-4 Triangles Simpler Problem 2-2 Rounding Whole Number and Decimals 8-5 Quadrilaterals 8-6 Problem Solving: Make and Test Generalizations Topic 15- Integers 2-3 Estimating Sums and Differences 15-1 Understanding Integers 2-4 Adding and Subtracting – Stop and Practice Topic 9 – Factors and Multiples 15-2 Comparing and Ordering Integers 2-5 Adding Decimals 9-1 Understanding Factors 15-3 Integers and the Number Line 2-6 Subtracting Decimals 9-2 Prime and Composite Numbers 15-4 Adding Integers – Stop and Practice 2-7 Problem Solving: Draw a Picture and Write 9-3 Finding Prime Factors 15-5 Subtracting Integers an Equation – Stop and Practice 9-4 Common Factors and Greatest Common Factors 15-6 Simplifying Expressions Topic 3 – Reviewing Multiplication of Whole Numbers 9-5 Problem Solving: Try, Check, and Revise 15-7 Problem Solving: Work Backward 3-1 Multiplication Properties Topic 10- Fractions, Mixed Numbers, and Decimals 3-2 Estimating Products Topic 16 – Solving and Writing Equations 10-1 Meaning of Fractions 16-1 Solving Addition and Subtraction Equations 3-3 Multiplying by 1-Digit Numbers 10-2 Fractions and Divisions 3-4 Multiplying by 2-Digit Numbers – Stop and 16-2 Solving Multiplication and Division Equations 10-3 Mixed Numbers and Improper Fractions 16-3 Problem Solving: Use Reasoning Practice 10-4 Equivalent Fractions 3-5 Estimating and Multiplying with Greater Numbers 16-4 Patterns and Equations – Stop and Practice 10-5 Comparing and Ordering Fractions and Mixed Numbers 16-5 More Patterns and Equations 3-6 Exponents 10-6 Fractions in Simplest Forms –Stop and Practice 3-7 Problem Solving: Multiple-Step Problems 16-6 Problem Solving: Draw a Picture and Write 10-7 Tenths and Hundredths an Equation Topic 4 – Division of Whole Numbers 10-8 Thousandths 4-1 Using Patterns to Divide 10-9 Fractions and Decimals on the Number Line Topic 17 – Percents 4-2 Estimating Quotients 10-10 Problem Solving: Writing to Explain 17-1 Understanding Ratios 4-3 Connecting Models and Symbols – Stop and 17-2 Understanding Percent Topic 11- Adding and Subtracting Fractions and Mixed Practice 17-3 Percents, Fractions, and Decimals Numbers 4-4 Dividing by 1-Digit Divisors 17-4 Finding Percent of a Whole Number 11-1 Adding and Subtracting Fractions with Like 4-5 Zero in the Quotient 17-5 Problem Solving: Make a Table and Look Denominators 4-6 Dividing by 2-Digit Divisors for a Pattern 11-2 Common Multiples and LCM 4-7 More Dividing by 2-Digit Divisors – Stop and 11-3 Adding Fractions with Unlike Denominators Topic 18 – Equations and Graphs Practice 11-4 Subtracting Fractions with Unlike Denominators 18-1 Ordered Pairs – Stop and Practice 4-8 Estimating and Dividing with Greater Numbers 11-5 Adding Mixed Numbers 18-2 Line Graphs 4-9 Problem Solving: Draw a Picture and Write 11-6 Subtracting Mixed Numbers 18-3 Graphing Equations and Equation 11-7 Problem Solving: Look for a Pattern 18-4 Problem Solving: Work Backward Topic 5 – Variables and Expressions Topic 12 – Multiplying and Dividing Fractions and Mixed Topic 19 – Graphs and Data 5-1 Variables and Expressions Numbers 19-1 Bar Graphs and Picture Graphs – Stop and 5-2 Patterns and Expressions – Stop and Practice 12-1 Multiplying Factions and Whole Numbers Practice 5-3 More Patterns and Expressions 12-2 Multiplying Two Fractions – Stop and Practice 19-2 Histograms 5-4 Distributive Property 12-3 Dividing a Whole Number by a Fraction 19-3 Circle Graphs 5-5 Order of Operations 12-4 Dividing Two Fractions 19-4 Make a Graph 5-6 Problem Solving: Act It Out and Use 12-5 Problem Solving: Mission or Extra Information 19-5 Mean Reasoning 12-6 Multiplying Mixed Numbers 19-6 Median, Mode, and Range Topic 6 – Multiplying Decimals 12-7 Dividing Mixed Numbers 19-7 Outcomes 6-1 Multiplying Decimals by 10, 100, or 1,000 12-8 Problem Solving: Draw a Picture and Write an 19-8 Problem Solving: Writing Probability as a 6-2 Multiplying a Whole Number and a Decimal Equation Fraction 6-3 Estimating the Product of a Whole Number and Topic 13- Length, Perimeter, and Area Decimal Topic 20 – Constructions 13-1 Using Customary Units of Length 20-1 Constructing Angles 6.4 Multiplying Two Decimals 13-2 Using Metric Units of Length 6-5 Multiplying with Zeros in the Product 20-2 Constructing Lines – Stop and Practice 13-3 Perimeter – Stop and Practice 20-3 Constructing Shapes 6-6 Problem Solving: Reasonableness 13-4 Area of Squares and Rectangles 20-4 Problem Solving: Use Objects Topic 7 – Dividing Decimals 13-5 Area of Parallelograms 7-1 Dividing Decimals by 10, 100, or 1,000 13-6 Area of Triangles 13-7 Problem Solving: Draw a Picture and Make an End of Year: Step-up Lessons for Grade 6 7-2 Dividing a Decimal by a Whole Number Organized List
  • 7. th 6 Grade Topic 1 – Numeration Topic 7 – Number and Fraction Concepts Topic 14 – Equations and Graphs 1-1 Place Value 7-1 Prime Factorization 14-1 Equations With More Than One Operation 1-2 Comparing and Ordering Whole Numbers 7-2 Greatest Common Factor 14-2 Patterns and Equations 1-3 Exponents and Place Value 7-3 Understanding Factors 14-3 More Patterns and Equations 1-4 Decimal Place Value 7-4 Equivalent Fractions 14-4 Graphing Points in a Coordinate Plane 1-5 Comparing and Ordering Decimals 7-5 Fractions in Simplest Form 14-5 Graphing Equations 1-6 Problem Solving: Make an Organized List 7-6 Problem Solving: Make and Test Conjectures 14-6 Graphing Equations with More than One Operation 14-7 Problem Solving: Act It Out and Use Logical Topic 8 – Decimals, Fractions, and Mixed Numbers Topic 2 – Variables, Expressions, and Properties Reasoning 8-1 Fractions and Division 2-1 Using Variables to Write Expressions 8-2 Fractions and Decimals Topic 15 – Measurement 2-2 Properties of Operations 8-3 Improper Fractions and Mixed Numbers 15-1 Converting Customary Measures 2-3 Order of Operations 8-4 Decimal Forms of Fractions and Mixed Numbers 15-2 Converting Metric Measures 2-4 The Distributive Property 8-5 Rational Numbers on a Number Line 15-3 Relating Customary and Metric Measures 2-5 Mental Math 8-6 Problem Solving: Draw a Picture 15-4 Problem Solving: Use Reasoning 2-6 Evaluating Expressions 2-7 Using Expressions to Describe Patterns Topic 9 – Adding and Subtracting Fractions and Mixed Topic 16 – Perimeter and Area 2-8 Problem Solving: Make a Table – Stop and Numbers 16-1 Perimeter Practice 9-1 Adding and Subtracting: Like Denominators 16-2 Area of Squares and Rectangles 9-2 Least Common Multiple 16-3 Area of Parallelograms and Triangles Topic 3 – Whole Numbers and Decimals 9-3 Adding and Subtracting: Unlike Denominators 3-1 Estimating with Whole Numbers 16-4 Circumference 9-4 Estimating Sums and Differences of Mixed Numbers 16-5 Area of a Circle 3-2 Estimating with Decimals 9-5 Adding Mixed Numbers 3-3 Adding and Subtracting 16-6 Problem Solving: Use Objects 9-6 Subtracting Mixed Numbers 3-4 Multiplying 9-7 Problem Solving: Make a Table 3-5 Dividing by a Whole Number Topic 17 – Volume 3-6 Dividing by a Decimal Topic 10- Multiplying and Dividing Fractions and Mixed 17-1 Solid Figures 3-7 Evaluating Expressions Numbers 17-2 Volume of Rectangular Prisms 3-8 Problem Solving: Multiple-Step Problems – 10-1 Multiplying Fractions 17-3 Volume of Triangular Prisms and Cylinders Stop and Practice 10-2 Understanding Division of Fractions 17-4 Problem Solving: Use Objects and Reasoning 10-3 Dividing Fractions Topic 4 – Solving Equations 10-4 Estimating Products and Quotients Topic 18 – Graphs 4-1 Properties of Equality 10-5 Multiplying Mixed Numbers 18-1 Reading and Making Graphs 4-2 Solving Addition and Subtraction Equations 10-6 Dividing Mixed Numbers 18-2 Circle Graphs 4-3 Problem Solving: Draw a Picture and Write 10-7 Solving Equations 18-3 Misleading Graphs and Equation 10-8 Problem Solving: Look for a Pattern 18-4 Problem Solving: Make a Graph 4-4 Solving Multiplication and Division Equations 4-5 Problem Solving: Draw a Picture and Write Topic 11- Ratios, Rates, and Proportions Topic 19 – Data and Statistics and Equation – Stop and Practice 11-1 Understanding Ratios 19-1 Mean, Median, Mode, and Range 11-2 Equal Ratios and Proportions 19-2 Line Plots Topic 5 – Integers 11-3 Understanding Rates and Unit Rates 19-3 Effects of Outliers 5-1 Understanding Integers 11-4 Comparing Rates 19-4 Stem-and-Leaf Plots 5-2 Comparing and Ordering Integers 11-5 Distance, Rate, and Time 19-5 Appropriate Use of Statistical Measures 5-3 Adding Integers 11-6 Problem Solving: Draw a Picture 19-6 Sampling Methods 5-4 Subtracting Integers Topic 12 – Solving Proportions 19-7 Population and Sample Data 5-5 Multiplying Integers 12-1 Using Ratio Tables 19-8 Bias in Sampling and Surveys 5-6 Dividing Integers 12-2 Using Unit Rates 19-9 Using Statistics to Draw Conclusions 5-7 Solving Equations with Integers 12-3 Using Cross Multiplication 19-10 Problem Solving: Try, Check, and Revise 5-8 Problem Solving: Work Backward – Stop and Practice 12-4 Problem Solving: Writing to Explain Topic 20 –Probability 12-5 Similar Figures 20-1 Counting Methods Topic 6 – Properties of Two-Dimensional Figures 12-6 Maps and Scale Drawings 6-1 Basic Geometric Ideas 20-2 Permutations and Combinations 6-2 Measuring and Drawing Angles Topic 13- Understanding Percent 20-3 Probability 6-3 Angle Pairs 13-1 Understanding Percent 20-4 Theoretical and Experimental Probability 6.4 Triangles 13-2 Fractions, Decimals, and Percents 20-5 Adding Probabilities 6-5 Quadrilaterals 13-3 Percents Greater Than 100 and Less Than 1 20-6 Independent and Dependent Events 6-6 Circles 13-4 Estimating Percent 20-4 Problem Solving: Make an Organized List 6-7 Problem Solving: Make a Table and Look for 13-5 Finding the Percent of a Number a Pattern 13-6 Tips, Taxes, Discount, and Simple Interest 13-7 Problem Solving: Reasonableness