Kindergarten Math Unit 3

Number Pairs, Addition & Subtraction to 10

Unit description:  In this unit the students will learn to model composition and decomposition of numbers to 10 using a strategy i.e. actions, objects,  drawings, fingers, unifix cubes. They will read and write horizontal and vertical number bonds to represent composition and decomposition stories. They will compare values of numerals between 1 and 10. They will read, write and solve equations using the plus sign, minus sign and equal sign within 10.

Download the complete Kindergarten Math Unit 3 framework to customize for your own planning.

Essential Outcomes of the Unit

Operations and Algebraic Thinking-Understand addition as putting together and adding to, and understand subtraction as taking apart and taking from.

  • K.OA.1: Represent addition and subtraction using objects, fingers, pennies, drawings, sounds, acting out situations, verbal explanations, expressions, equations, or other strategies. Note: Drawings need not show details, but should show the mathematics in the problem.
  • NY-K.OA.5: Fluently add and subtract within 5.

Counting and Cardinality- Compare numbers-Understand addition as putting together and adding to, and understand subtraction as taking apart and taking from. 

  • NY-K.CC.6 6: Identify whether the number of objects in one group is greater than (more than), less than (fewer than), or equal to (the same as) the number of objects in another group. Note: Include groups with up to ten objects.

Other Standards Addressed in the Unit

Counting and Cardinality- Compare numbers- Understand addition as putting together and adding to, and understand subtraction as taking apart and taking from.

  • NY-K.CC.7. Compare two numbers between 1 and 10 presented as written numerals.

Operations and Algebraic Thinking

  • NY-K.OA.2a: Add and subtract within 10. 
  • NY-K.OA.2b: Solve addition and subtraction word problems within 10.
  • NY-K.OA.3: Decompose numbers less than or equal to 10 into pairs in more than one way. Record each decomposition with a drawing or equation.
  • NY-K.OA.4: Find the number that makes 10 when given a number from 1 to 9. Record the answer with a drawing or equation.

Essential Questions and Big Ideas

  • How can knowing how to put together or take apart numbers help form other numbers? 
    • Composing and decomposing numbers builds fluency.
    • A whole can be broken into two parts and two parts can be joined to make a whole.
  • Why should numbers be decomposed to form different combinations of a specific number? 
    • Different combinations of numbers within 10 represent addition and subtraction.
  • What is the connection of an equation to a number combination?
    • Equations can be built by decomposing numbers in more than one way.
  • How are word problems connected to number combinations?
    • Word problems can be represented with objects or drawings.
    • Add to with result unknown (A + B = ), put together with total unknown (A + B= ), and both addends unknown (C = + ).