This area of learning includes big ideas about students’ understanding of shapes and spatial relationships, counting and comparison of numbers and objects, and an ability to solve problems using different strategies.
By clicking on any of the progressions below, activities are provided to help you support your child at home. Should you wish to print these activities for quick reference, click on the printer icon included with each progression.
A kindergarten student will model real world problems by composing 2 and 3 dimensional shapes.
Big Idea
A kindergarten student will count using multiple strategies.
Big Idea
A kindergarten student will compare objects and numbers represented in different ways to solve real world problems.
Big Idea
A kindergarten student will apply multiple strategies to solve real world problems using addition and subtraction.
Beginning
Activities

Suggestions for Families

Uses objects or fingers to represent a realworld addition or subtraction problem within 5, when read aloud.

Making Five:
Ask your child simple questions and model how many more to make five or how many less from five to solve problems For example, say we have five cookies and there are three children. How many cookies would we have left over?

Emerging
Activities

Suggestions for Families

Draws pictures to represent a realworld addition or subtraction problem within 5, when read aloud.

Let’s Draw It:
As your child begins to understand adding and subtracting, model those processes using pictures to display the results.

Developing
Activities

Suggestions for Families

Uses counting strategies (e.g., ten frames, counting on, counting back, mental images, number lines, acting out) to solve addition and subtraction problems within 10.

How Many More? How Many Less?:
When you and your child solve a problem, use phrases like "let’s count on" or "count back" to come to the solution.

Finds the missing number to make 5 (e.g., using ten frames, number lines).

Let’s Solve It:
Use objects to help your child solve mathematics problems to five. For example, say we have three books to read, how many more books until we have five?

Decomposing numbers into pairs in more than one way, using objects or drawings within 10.

What is the Number Pair?:
Use cards numbered one to ten and ask your child to draw two cards. Use small objects or drawings to help your child add or subtract the two numbers.

Demonstrating
Activities

Suggestions for Families

Solves realworld problems by adding and subtracting within 10 and explains the strategy used. The strategy can include the equation.

Can You Help Me Solve This Problem?:
Ask your child to help you solve simple but needed realworld problems. For example, say tell me how many more spoons we need to set the table. Ask your child how he came up with the answer.

Responds immediately and accurately (verbally) to addition and subtraction within 5.

To Add or Subtract?:
Write the numbers 15 on three sets of cards. Have your child draw two cards. Ask your child what the two numbers added together or subtracted from one another equal.

Finds the missing number to make 10 (e.g., using ten frames, number lines).

Let’s Solve It:
Use objects to help your child solve mathematics problems to ten. For example, say we have six books to read, how many more books until we have ten? 
Composes and decomposes numbers from 11 to 19 into ten ones and some further ones by using objects or drawings. Records compositions or decompositions by a drawing or an equation.

What is the Number Pair?:
Use cards numbered 119 and ask your child to draw two cards. Use small objects or drawings to help your child add or subtract the two numbers.

Exceeding
Activities

Suggestions for Families

Solves realworld problems by adding and subtracting within 1119 and explains the strategy used. The strategy can include the equation.

Can You Help Me Solve This Problem?:
Ask your child to help you solve simple but needed realworld problems. For example, say tell me how many more envelopes we need to send invitations to the party. Ask your child how she came up with the answer.

Responds immediately and accurately, verbally or in writing, to addition and subtraction problems within 10.

To Add or Subtract?:
Write the numbers 110 on three sets of cards. Have your child draw two cards. Ask your child what the two numbers added together or subtracted from one another equal.

Composes and decomposes numbers more than 20 into ten ones and some further ones by using objects or drawings. Records compositions or decompositions by a drawing or equation.

What is the Number Pair?:
Use cards numbered 130 and ask your child to draw two cards. Use small objects or drawings to help your child add or subtract the two numbers.
