Kindergarten Mathematics
Unit 1
Counitng, Cardinality and Algebraic Thinking with Numbers to 10

Printable Parent Letter

During Unit 1, your children will use numbers to 10, including written numerals, to represent quantities and to solve quantitative problems, such as counting objects in a set; counting out a given number of objects; comparing sets or numerals; and modeling simple joining and separating situations with sets of objects, or eventually with equations such as 5 + 2 = 7 and 7 – 2 = 5.

Students need to:

  • Count to 100 by ones and tens
  • Count forward from a number other than 1
  • Write the numbers 0-10 and represent an amount of object with a written numeral
  • Count up to 10 objects one at a time, giving each object a number name
  • Understand that the last number said names the total amount for a group of objects
  • Understand that each successive number name refers to a quantity that is one larger
  • Count to answer "how many?" questions about as many as 10 things arranged in a line, a rectangular array, or a circle, or a scattered configuration
  • Count out a set of up to 10 objects
  • Identify whether the number of objects in a one group is greater than, less than, or equal to the number of objects in another group
  • Compare two numbers between 1 and 10 presented as written numerals
  • Represent and solve addition and subtraction word problems and add and subtract within 10 (e.g. using objects or drawings to represent the problem).
  • Separate a number into two parts and understand that there is a relationship between the parts and the whole for numbers 0-10 and record with a drawing or equation and understand that the values on each side of the equal sign are the same
  • For any number from one to nine find the number that makes ten when added to the given number
  • Begins to work towards goal of fluently adding and subtracting within 5 by applying knowledge of decomposition.

Carroll County Public School Video Support

Working with Ten Frames
Working with Tens Frames

Modeling Ten Frames
Modeling with a Tens Frame

Numbers to Ten
Numbers to Ten

Problem Solving
Modeling Problem Solving

solving add problems Subtraction Problems
Solving Problems With Addition and Subtraction


Ways Parents Can Help

  • Practice counting forward with your child to 100
  • Practice counting forward starting with a number other than 1
  • Practice putting number cards in order
  • Count things around the house (steps, toys, food items…
  • Use a die to see if your child can name the number without counting the dots
  • Practice writing the numbers up to 10
  • Build sets representing a number 0-10 together using things around the house
  • Practice adding and subtracting things around the house (i.e. 3 red grapes and 3 green grapes – how many grapes in all or start with 6 grapes eat two – how many are left)

Some Support Sites

Count to 1o

Count to 100

Counting Train

Whack a Mole

Using a Ten Frame

Balloon Pop Count and Order

Balloon Pop Compare Numbers

Balloon Pop Comparison Symbols


Key Vocabulary to Know


As many as



Fewer than

Five frame

Greater than



Less/Less than


More than


Number path

One less

One more



Put together





Take apart

Ten frame