The document is a kindergarten math curriculum map from the Isaac School District. It outlines four quarters of instruction covering topics like patterns, number sense, geometry, and number operations. Each quarter is divided into units and clusters that identify essential learning standards, skills, vocabulary, and assessments for students. The curriculum map provides a comprehensive overview of the key concepts and priorities for kindergarten math.

1. Kindergarten Math Curriculum Map
Isaac School District No. 5
Quarter 1
Unit Name and Description: Patterns, Algebra & Functions
Cluster 1
Big Ideas/Enduring Understandings Essential Question(s)
How can you use patterns?
Knowledge of patterns is used to solve problems.
Can you create a pattern?
Patterns are used in our daily life experiences.
AZ Essential Learning Key Summative
Standard Knowledge Skills Vocabulary Assessment
S3C1PO1 Repeating patterns Recognize, describe, extend, create, record simple repeating Repeat
patterns Patterns
Recognize
S1C1PO2 Count objects Count forward to 20 and backwards to 10 with or without Describe
objects using different starting points Create
Record
S1C1PO4 Compare and order whole numbers Compare and order whole numbers through 20 Count
Objects
Forward
S3C1PO2 Growing Patterns Recognize, describe, extend, [create], record simple growing Backward
patterns Compare
Order
S2C3PO1 Sorting Rule Sort, classify, count and represent up to 20 objects and justify Sort
the sorting rule Classify
Build
* = New POs added to cluster previously introduced Bold = Priority PO 1
Italics = POs taught at earlier grade level [ ] = Scaffolding for student learning 8/8/2010
Underlining = Cognitive rigor Isaac School District No. 5

2. Kindergarten Math Curriculum Map
Isaac School District No. 5
S4C1PO2 Two dimensional figures Using attributes build, draw, compare, describe and sort 2- Draw
dimensional figures (including irregular figures) using Identify
attributes. Numbers
Pictures
S4C4PO1 Observable and measurable Compare and order objects according to observable and Symbols
attributes measurable attributes. More
Less
S5C2PO2 Solution Identify given information that can be used to find a solution Construct
Models
S5C2PO4 Problem Situation Represent a problem situation using any combination of:
words
numbers
pictures
physical objects
symbols
S5C2PO5 Mathematical Thinking Explain and clarify mathematical thinking
* = New POs added to cluster previously introduced Bold = Priority PO 2
Italics = POs taught at earlier grade level [ ] = Scaffolding for student learning 8/8/2010
Underlining = Cognitive rigor Isaac School District No. 5

3. Kindergarten Math Curriculum Map
Isaac School District No. 5
Quarter 1
Unit Name and Description: Number Sense
Cluster 2
Big Ideas/Enduring Understandings Essential Question(s)
Why is number sense important?
Knowledge of number sense is essential for everyday tasks.
When would you use number sense?
Numbers are tools.
Numbers are systematic.
AZ Essential Learning Key Summative
Standard Knowledge Skills Vocabulary Assessment
S1C1PO1 Whole Numbers 0-20 Express whole numbers 0-20 using and connecting Count
multiple representations Ordinal
Classify
S1C1PO2 Count objects Count forward to 20 and backwards to 10 with or without Represent
objects using different starting points Order
Position
S1C1PO4 Compare and order whole numbers Compare and order whole numbers through 20 Number
Determine
S1C1PO5 Recognize and compare objects Recognize and compare the ordinal position of at least 5 Solution
objects Select
S1C3PO1 Quantities to 20 Identify quantities to 20 as more or less than 5 or as more or Explain
less than 10
S2C3PO1 Sorting Rule Sort, classify, count and represent up to 20 objects and justify
the sorting rule
* = New POs added to cluster previously introduced Bold = Priority PO 3
Italics = POs taught at earlier grade level [ ] = Scaffolding for student learning 8/8/2010
Underlining = Cognitive rigor Isaac School District No. 5

4. Kindergarten Math Curriculum Map
Isaac School District No. 5
S2C1PO2 Quantities and data Ask and answer questions by counting, comparing quantities
and interpreting simple displays of data
S5C2PO1 Solution Identify the question(s) asked and any other questions that
need to be answered in order to find a solution
S5C2PO4 Problem Situation Represent a problem situation using any combination of:
words
numbers
pictures
physical objects
symbols
S5C2PO5 Mathematical Thinking Explain and clarify mathematical thinking
* = New POs added to cluster previously introduced Bold = Priority PO 4
Italics = POs taught at earlier grade level [ ] = Scaffolding for student learning 8/8/2010
Underlining = Cognitive rigor Isaac School District No. 5

5. Kindergarten Math Curriculum Map
Isaac School District No. 5
Quarter 2
Unit Name and Description: Geometric Properties/Sha
Cluster 3
Big Ideas/Enduring Understandings Essential Question(s)
Shapes are present their daily environment. Can you name different shapes that you see?
Shapes are composed of different attributes. Can you compare and contrast attributes of shapes?
AZ Essential Learning Key Summative
Standard Knowledge Skills Vocabulary Assessment
S4C1PO1 Circles, triangles, rectangles and Identify, analyze, and describe circles, triangles, and Circles
squares rectangles (including squares) in different orientations and Triangles
environments Rectangles
Squares
S4C1PO2* Two dimensional figures Using attributes build, draw, compare, describe and sort 2- Different
dimensional figures (including irregular figures) using Orientations
attributes. Environments
Attributes
S4C4PO1* Observable and measurable Compare and order objects according to observable and
attributes measurable attributes
S4C4PO2 Length and nonstandard units Use the attribute of length to Describe and compare objects
using nonstandard units
S3C1PO1* Repeating patterns Recognize, describe, extend, create, record simple repeating
patterns
* = New POs added to cluster previously introduced Bold = Priority PO 5
Italics = POs taught at earlier grade level [ ] = Scaffolding for student learning 8/8/2010
Underlining = Cognitive rigor Isaac School District No. 5

6. Kindergarten Math Curriculum Map
Isaac School District No. 5
S5C2PO4 Problem Situation Represent a problem situation using any combination of:
words
numbers
pictures
physical objects
symbols
S5C2PO5* Mathematical Thinking Explain and clarify mathematical thinking
S5C2PO6 Solution Determine whether a solution is reasonable
* = New POs added to cluster previously introduced Bold = Priority PO 6
Italics = POs taught at earlier grade level [ ] = Scaffolding for student learning 8/8/2010
Underlining = Cognitive rigor Isaac School District No. 5

7. Kindergarten Math Curriculum Map
Isaac School District No. 5
Quarter 2
Unit Name and Description: Data Analysis and Probability
Cluster 4
Big Ideas/Enduring Understandings Essential Question(s)
Numbers can be represented in different forms. How do you use numbers to compose and classify data?
Numbers can be applied to real life situations. How do you interpret and differentiate data on a graph?
AZ Essential Learning Key Summative
Standard Knowledge Skills Vocabulary Assessment
S2C1PO1 Displays of data Construct simple displays of data using objects or pictures Data
Information
S1C1PO5* Ordinal positions Recognize and compare the ordinal position of at least five Represent
objects
S2C3PO1* Sorting rule Sort, classify, count, and represent up to 20 objects and justify
the sorting rule.
S3C1PO2 Growing Patterns Recognize, describe, extend, [create], record simple growing
patterns
S2C1PO2* Quantities and data Ask and answer questions by counting, comparing quantities
and interpreting simple displays of data
S5C2PO1 * Solution Identify the question(s) asked and any other questions that
need to be answered in order to find a solution
* = New POs added to cluster previously introduced Bold = Priority PO 7
Italics = POs taught at earlier grade level [ ] = Scaffolding for student learning 8/8/2010
Underlining = Cognitive rigor Isaac School District No. 5

8. Kindergarten Math Curriculum Map
Isaac School District No. 5
S5C2PO2* Solution Identify the given information that can be used to find a
solution.
S5C2PO5* Mathematical Thinking Explain and clarify mathematical thinking
* = New POs added to cluster previously introduced Bold = Priority PO 8
Italics = POs taught at earlier grade level [ ] = Scaffolding for student learning 8/8/2010
Underlining = Cognitive rigor Isaac School District No. 5

9. Kindergarten Math Curriculum Map
Isaac School District No. 5
Quarter 3
Unit Name and Description: Number Operations
Cluster 5
Big Ideas/Enduring Understandings Essential Question(s)
Numbers can be manipulated. How can you change the value of a number?
Problem solving requires the application of evaluating information. What information is key in order to reach a solution?
AZ Essential Learning Key Summative
Standard Knowledge Skills Vocabulary Assessment
S1C2PO1 Contextual Problems Solve problems by developing, applying and recording Sums
strategies with sums and minuends to 10 using objects, Minuend
pictures, and symbols. Quantities
Difference
S1C1PO2* Count objects Count objects forward to 20 and backwards to 10 with or Word Problems
without objects using different starting points Equivalent
Expressions
S1C1PO3 Numbers more or less Identify numbers which are 1 more or 1 less than a given Symbol =
number to 20
S1C2PO2 Sums and differences to 10 Develop and use multiple strategies to determine:
Sums to 10
Differences with minuends to 10
S1C2PO3 Word Problems Create word problems based on sums to 10 and differences
with minuends to 10
* = New POs added to cluster previously introduced Bold = Priority PO 9
Italics = POs taught at earlier grade level [ ] = Scaffolding for student learning 8/8/2010
Underlining = Cognitive rigor Isaac School District No. 5

10. Kindergarten Math Curriculum Map
Isaac School District No. 5
S3C3PO1 Whole Numbers Record equivalent forms of whole numbers to 10 by
constructing models and using numbers
S3C3PO2 Expressions and symbol = Compare expressions using spoken words and the symbol =
S5C2PO3 Solution Select and use problem solving strategies
S5C2PO4 Problem Situation Represent
problem situation
combination of words
numbers
pictures
physical objects
symbols
S5C2PO5 Mathematical Thinking Explain and clarify
* = New POs added to cluster previously introduced Bold = Priority PO 10
Italics = POs taught at earlier grade level [ ] = Scaffolding for student learning 8/8/2010
Underlining = Cognitive rigor Isaac School District No. 5

11. Kindergarten Math Curriculum Map
Isaac School District No. 5
Quarter 4
Unit Name and Description: Number Sense
Cluster 6
Big Ideas/Enduring Understandings Essential Question(s)
Whole numbers can be represented in a variety of ways. How might whole numbers be represented in a number of ways?
Numbers represent different quantities or values. What do different numbers mean?
AZ Essential Learning Key Summative
Standard Knowledge Skills Vocabulary Assessment
M1S1C1PO1 Multiple representations of Model and express whole numbers using tens and ones Whole numbers
whole numbers to 100 in tens and multiple representations. Count
and ones.
Compare
M1S1C1PO2 Whole numbers 1-100 Count forward and backward by 1s, 10s, 2s, and 5s, from
different starting points. Order
M1S1C1PO4 Whole numbers 1-100 Compare and order whole numbers. Identify
Represent
M1S1C1PO5 Ordinal numbers through 10 Identify and compare ordinal numbers. Explain
Ordinal numbers
M1S5C2PO4 Words, numbers, pictures, Represent problem situations using multiple representations.
Skip counting
objects, or symbols for problem
situations Forward
Backward
M1S5C2PO5 Mathematical thinking Explain and clarify mathematical thinking. Order
Identify
Represent
Representations
* = New POs added to cluster previously introduced Bold = Priority PO 11
Italics = POs taught at earlier grade level [ ] = Scaffolding for student learning 8/8/2010
Underlining = Cognitive rigor Isaac School District No. 5