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Units Overview
                   Unit                   K   1   2   3   4   5   6                           Unit Description
                                                                      •   Introduction to numbers, numerals and sets
                                                                      •   Count, compare and order sets
                                                                      •   Join and separate sets of 20 of less
                                                                      •
Understanding Whole Numbers to 10                                         Quick recognition of numbers and numerals
                                                                      •   Names and descriptions of shapes and solids
                                                                      •   Describe orientation and position
                                                                      •   Compare shapes to determine size
                                                                      •
Shapes and Space                                                          Explore composition and decomposition of shapes
                                                                      •   Measurable attributes of space and time
                                                                      •   Direct and indirect methods to measure, compare and
Comparing Lengths and Time                                                sequence shapes
                                                                      •   Variety of models to learn basic addition and subtraction
                                                                          facts through 18
                                                                      •   Commutative and associative properties
                                                                      •
Understanding Addition and                                                Relationship between commutative and associative
Subtraction: Facts to 18                                                  properties
                                                                      •   Place value
                                                                      •   Compare and order numbers up to 100
Place Value: Ones and Tens
                                                                      •   Use composition and decomposition to learn about
                                                                          properties of shapes and solids
                                                                      •   Concepts of congruence and symmetry
Pieces of Shapes
                                                                      • Place value for numbers through 1,000
                                                                      • Compose, decompose, compare and order whole numbers
                                                                      • Extend to numbers with four to six digits
Understanding Numbers to 1,000
                                                                      • Add and subtract larger numbers, both with and without
                                                                        regrouping
                                                                      • Introduces estimation as a tool for verifying accuracy of
Addition and Subtraction of Multi-Digit                                 answers
                                                                      • Foundation for multiplication of numbers
Numbers
                                                                      • Develop fluency with measuring length using standard and
                                                                        non-standard units
                                                                      • Solve problems involving measuring length
Linear Measurement
Units Overview
                 Unit              K   1   2   3   4   5   6                           Unit Description
                                                               • Introduction to multiplication as a way to count objects
                                                                 arranged in equal sets
                                                               • Developing fluency with basic multiplication facts from 0 x 0
                                                                 to 10 x 10
                                                               • Commutative property and the relationship between
Multiplication and Facts to 10                                   multiplication and division
                                                               • Introduction of fractions through pictorial models
                                                               • Becoming familiar with common fractions
                                                               • Equivalent fractions
                                                               • Writing and recognizing improper and mixed fractions
Fractions
                                                               • Elementary geometry
                                                               • Common shapes and their properties
                                                               • Congruence and similarity
                                                               • Line symmetry and transformations
                                                               • Rudiments of area on the plane
2-D Shapes and Transformations
                                                               • Introduction of the distributive property
                                                               • Develop and practice the algorithm for multiplying large
                                                                 numbers
Multiplication Facts: 11 and 12,
                                                               • Estimation with multiplication
Multiplication Algorithm
                                                               • Decimals as an extension of place value
                                                               • Relationship to fractions in denoting quantities less than a
                                                                 whole
                                                               • Comparing, ordering, rounding and estimating decimals
Decimals and Fractions
                                                               • Measure area with unit squares
                                                               • Extend knowledge to calculating area of common shapes
                                                                 using multiplication
                                                               • Finding area
2-D Shapes and Area
                                                               • Review of relationship between division and multiplication
                                                               • Long division algorithm up to two-digits
                                                               • Estimation, divisibility, factors and multiples
                                                               • Division with remainders
Whole Number Division
Units Overview
                 Unit                  K   1   2   3   4   5   6                         Unit Description
                                                                   • Addition and subtraction of fractions with like and unlike
                                                                     denominators and mixed numbers
                                                                   • Addition and subtraction of decimals
                                                                   • Estimation
                                                                   • Connection between operations on fractions and operations
Adding and Subtracting Fractions and
Decimals                                                             on decimals
                                                                   • Types of 3-D solids and how to calculate surface area of
                                                                     prisms
                                                                   • Calculate volumes of cubes, prisms, and more complicated
3-D Shapes, Including Surface Area                                   single and composite solids
                                                                   • Learn strategies for estimating volume
and Volume
                                                                   • Strategies and techniques used to multiply and divide by
                                                                     fractions and decimals
                                                                   • Application of the number pi
                                                                   • Techniques to multiply by decimals to find the
Multiplication and Division of                                       circumference and area of a circle and the volume of a
Fractions and Decimals                                               cylinder.

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Aha!Math Units Overview

  • 1. Units Overview Unit K 1 2 3 4 5 6 Unit Description • Introduction to numbers, numerals and sets • Count, compare and order sets • Join and separate sets of 20 of less • Understanding Whole Numbers to 10 Quick recognition of numbers and numerals • Names and descriptions of shapes and solids • Describe orientation and position • Compare shapes to determine size • Shapes and Space Explore composition and decomposition of shapes • Measurable attributes of space and time • Direct and indirect methods to measure, compare and Comparing Lengths and Time sequence shapes • Variety of models to learn basic addition and subtraction facts through 18 • Commutative and associative properties • Understanding Addition and Relationship between commutative and associative Subtraction: Facts to 18 properties • Place value • Compare and order numbers up to 100 Place Value: Ones and Tens • Use composition and decomposition to learn about properties of shapes and solids • Concepts of congruence and symmetry Pieces of Shapes • Place value for numbers through 1,000 • Compose, decompose, compare and order whole numbers • Extend to numbers with four to six digits Understanding Numbers to 1,000 • Add and subtract larger numbers, both with and without regrouping • Introduces estimation as a tool for verifying accuracy of Addition and Subtraction of Multi-Digit answers • Foundation for multiplication of numbers Numbers • Develop fluency with measuring length using standard and non-standard units • Solve problems involving measuring length Linear Measurement
  • 2. Units Overview Unit K 1 2 3 4 5 6 Unit Description • Introduction to multiplication as a way to count objects arranged in equal sets • Developing fluency with basic multiplication facts from 0 x 0 to 10 x 10 • Commutative property and the relationship between Multiplication and Facts to 10 multiplication and division • Introduction of fractions through pictorial models • Becoming familiar with common fractions • Equivalent fractions • Writing and recognizing improper and mixed fractions Fractions • Elementary geometry • Common shapes and their properties • Congruence and similarity • Line symmetry and transformations • Rudiments of area on the plane 2-D Shapes and Transformations • Introduction of the distributive property • Develop and practice the algorithm for multiplying large numbers Multiplication Facts: 11 and 12, • Estimation with multiplication Multiplication Algorithm • Decimals as an extension of place value • Relationship to fractions in denoting quantities less than a whole • Comparing, ordering, rounding and estimating decimals Decimals and Fractions • Measure area with unit squares • Extend knowledge to calculating area of common shapes using multiplication • Finding area 2-D Shapes and Area • Review of relationship between division and multiplication • Long division algorithm up to two-digits • Estimation, divisibility, factors and multiples • Division with remainders Whole Number Division
  • 3. Units Overview Unit K 1 2 3 4 5 6 Unit Description • Addition and subtraction of fractions with like and unlike denominators and mixed numbers • Addition and subtraction of decimals • Estimation • Connection between operations on fractions and operations Adding and Subtracting Fractions and Decimals on decimals • Types of 3-D solids and how to calculate surface area of prisms • Calculate volumes of cubes, prisms, and more complicated 3-D Shapes, Including Surface Area single and composite solids • Learn strategies for estimating volume and Volume • Strategies and techniques used to multiply and divide by fractions and decimals • Application of the number pi • Techniques to multiply by decimals to find the Multiplication and Division of circumference and area of a circle and the volume of a Fractions and Decimals cylinder.