Math Scope and Sequence

Key Topics in Kindergarten Math:

Counting and Cardinality

Operations and Algebraic Thinking

  • Know number names and the count sequence (instead of having to begin at 1).
  • Writes numbers 0 to 20.  Represent a number of objects with a written numeral 0 to 20.
  • Compare two numbers between 1 and 10 presented as written numerals.
  • Understand the relationship between numbers and quantities.
  • Count to tell the number of objects.
  • Compare numbers.
  • Count to answer “how many” questions.
  • Identify whether the number of objects in one group is greater than, less than, or equal to the number of objects in another group.
  • Count by ones to 100.
  • Count to 100 by tens.
  • Counts forwards and backwards to 20 with and without objects.
  • Describe, model, and extend AB and ABC patterns
  • Understands addition as putting together and adding to, and understands subtraction as taking apart and taking form
  • Represent addition and subtraction in various ways.
  • Model addition (joining) and subtraction (separating) 
  • Solve addition and subtraction word problems and add/subtract within 10.
  • Decompose numbers less than or equal to 10 into pairs in more than one way.
  • For any number 1-9, find the number that makes 10 when added to the given number.
  • Fluently add and subtract within 5.

Measurement and Data

Numbers and Operations (Base 10)

  • Describe and compare measurable attributes such as length or width.  Describe several measurable attributes of a single object.
  • Directly compare two objects with a measurable attribute in common.
  • Classify objects and count the number of objects in each category.
  • Use data to create real-object and picture graphs.  Draw conclusions from real-object and picture graphs.
  • Classify objects in given categories, count the number of objects in each category, and sort the categories by count.
  • Work with numbers 11-19 to gain foundations for place value
  • Use one to one correspondence and language such as more than, same number as, or two less than to describe relative sizes of sets to concrete objects
  • Use sets of concrete objects to represent quantities given in verbal or written form (through 20)
  • Use numbers to describe how many objects are in a set (through 20) using verbal and symbolic descriptions
  • Compose and decompose numbers from 11-19 into ten ones and some further ones.
  • Identify coins by names.

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Geometry

  • Describe objects in the environment using names of shapes and describe the relative positions of these objects using positional word terms.
  • Identify and describe shapes (squares, circles, triangles, rectangles, hexagons, cubes, cones, cylinders, spheres) regardless of their orientation or overall size.
  • Analyze, compare, create, and compose shapes.
  • Identify objects as a 2D or 3D shape.
  • Analyze and compare 2D and 3D shapes in different sizes and orientations using informal language to describe their similarities, differences, and parts.
  • Model shapes in the world by building shapes from components and drawing shapes.

Math Units

Kindergarten

Topic

Category

Standard

Quarter

UNIT 1: Counting and Cardinality

Review of Kindergarten Skills

1st

Understanding Counting

Counting and Cardinality

Understand counting with objects regardless of arrangement

1st

Count 1, 2, and 3

Counting and Cardinality

Understand counting with objects regardless of arrangement; Write numbers and tell how many.

1st

Count 4

Counting and Cardinality

Understand counting with objects regardless of arrangement; Write numbers and tell how many.

1st

Count 5

Counting and Cardinality

Understand counting with objects regardless of arrangement; Write numbers and tell how many.

1st

Compare within 5

Counting and Cardinality

Understand each successive number name is 1 larger; identify groups as greater than, less than, or equal to; compare numerals

1st

Make 3, 4, 5

Operations and Algebraic Thinking

Decompose numbers in more than 1 way using objects; fluently add/ subtract within 5

1st

UNIT 1 Test:

UNIT 2: Counting and Cardinality, numbers 6-9

Count 6 and 7

Counting and Cardinality

Understand counting with objects regardless of arrangement; Write numbers and tell how many.

1st

Make 6 and 7

Operations and Algebraic Thinking 

Decompose numbers in more than 1 way using objects

1st

Count 8 and 9

Counting and Cardinality

Understand counting with objects regardless of arrangement; Write numbers and tell how many.

2nd

Make 8 and 9

Operations and Algebraic Thinking

Decompose numbers in more than 1 way using objects

2nd

UNIT 2 Test:

UNIT 3: Counting and Cardinality, numbers to 10

Count 10

Counting and Cardinality

Understand counting with objects regardless of arrangement; Write numbers and tell how many.

2nd

Compare within 10

Counting and Cardinality

Understand each successive number name is 1 larger; identify groups as greater than, less than, or equal to; compare numerals

2nd

Make 10

Operations and Algebraic Thinking

Decompose numbers in more than 1 way using objects; using numbers 1-9, find the number that makes 10 using drawings or objects

2nd

UNIT 3 Test:

UNIT 4: Operations

Understand Addition

Operations and Algebraic Thinking

Represent addition/subtraction using various methods

2nd

Add within 5

Operations and Algebraic Thinking

Fluently add/subtract within 5; solve addition/subtraction word problems

2nd

Understand subtraction

Operations and Algebraic Thinking

Represent addition/subtraction using various methods

2nd

Subtract within 5

Operations and Algebraic Thinking

Fluently add/subtract within 5; solve addition/subtraction word problems

2nd

Add within 10

Operations and Algebraic Thinking

Solve addition/subtraction word problems

3rd

Subtract within 10

Operations and Algebraic Thinking

Solve addition/subtraction word problems

3rd

Practice facts to 5

Operations and Algebraic Thinking

Fluently add and subtract within 5

3rd

UNIT 4 Test

UNIT 5: Counting and Cardinality, Numbers 11-100 and Number and Operations in Base Ten

Understand teen numbers

Number & operations in base 10

Compose/decompose numbers

3rd

Count teen numbers

Counting and Cardinality

Write numbers 0-20 to represent a number of objects; count to answer “how many” questions

3rd

Make teen numbers

Number & operations in base 10

Compose/decompose numbers

3rd

Count to 100 by tens

Counting and Cardinality

Count by 10’s

3rd

Count to 100 by ones

Counting and Cardinality

Count by 1’s

3rd

UNIT 5 Test

UNIT 6: Measurement and Data

Compare Length

Measurement & Data

Measure the length of objects

3rd

Compare Weight

Measurement & Data

Measure the weight of objects

4th

Compare Volume

Measurement & Data

Compare capacity

4th

Sort Objects

Measurement & Data

Classify objects into given categories

4th

Construct graphs

Measurement & Data

Create and read graphs

4th

UNIT 6 Test

UNIT 7: Geometry

See Position and Shape

Geometry

Describe objects in the environment

4th

Name Shapes

Geometry

Correctly name shapes and identify as 2D/3D

4th

Compare Shapes

Geometry

Compare 2D/3D shapes

4th

Build Shapes

Geometry

Build shapes

4th

UNIT 7 Test

Diagnostic