Guided practice Published K-5 Operations and Algebraic Thinking

Number Bonds and Make Ten

Split numbers within 10, find complements to 10, and build addition and subtraction fluency within 5.

CCSS K.OA.A.3CCSS K.OA.A.4CCSS K.OA.A.5
First part
6
Second part4

Number bond and equation

6+4=10
6 needs 4 more to make 10.

Number-bond challenge

Set the whole to 10 and the first part to 7. What is the second part?

Learning scope

  • Decompose any number up to 10 into two parts in more than one way.
  • For each number from 1 to 9, find the number that makes 10.
  • Fluently add and subtract within 5.

Interaction and feedback

Surface
Number-bond and ten-frame workbench
Interaction
Move counters between two parts and complete the ten-frame.
Feedback
The two parts, whole, number bond, and equation update together.

Kindergarten Β· Operations and Algebraic Thinking

About Number Bonds and Make Ten

Number Bonds and Make Ten is a guided practice tool for Kindergarten learners. The activity focuses on these outcomes: Decompose any number up to 10 into two parts in more than one way. For each number from 1 to 9, find the number that makes 10. Fluently add and subtract within 5. Students connect visible changes with precise mathematical language instead of treating the activity as a sequence of clicks.

The main learning surface is a Number-bond and ten-frame workbench. Students move counters between two parts and complete the ten-frame. The feedback then helps them check both the result and the reason behind it. The current version includes the published interaction and can be used for classroom demonstration, student exploration, or practice at home.

Learning goals

  • βœ“ Decompose any number up to 10 into two parts in more than one way.
  • βœ“ For each number from 1 to 9, find the number that makes 10.
  • βœ“ Fluently add and subtract within 5.

How to use it

  1. 1 Read the goal, then identify the objects, values, or representations that can be changed in the Number-bond and ten-frame workbench.
  2. 2 Move counters to split one whole into two parts. Describe what changes, what stays the same, and how the visible evidence supports the step.
  3. 3 Use the empty ten-frame spaces to identify the complement. Describe what changes, what stays the same, and how the visible evidence supports the step.
  4. 4 Check the number bond, then continue to another short challenge. Describe what changes, what stays the same, and how the visible evidence supports the step.
  5. 5 Try a second example with different values or a different representation to see whether the reasoning still holds.

What to notice

  • Watch for the correspondence between each action and its numerical, graphical, geometric, or symbolic representation.
  • Separate the mathematical relationship from surface details, and explain why the result belongs to the broader domain of Operations and Algebraic Thinking.

Common misconceptions

A correct click, placement, or calculation is enough even when the learner cannot explain why the result works.

Correction: Point to specific evidence in the tool and connect the action, representation, and conclusion with the language of number bonds and make ten.

Tips for teachers and families

  • 01 Ask for a prediction before the first action, then compare the prediction with the visible result.
  • 02 Prioritize explanation over speed by asking what evidence is visible and whether another representation tells the same story.
  • 03 Change one condition and ask which conclusions remain true to check whether the idea transfers beyond one example.

Prerequisites

  • β†’ Count concrete objects up to 10 with one-to-one correspondence.
  • β†’ Recognize and write numerals 0 through 10.
  • β†’ Basic experience joining two small groups to find a total within 5.

Frequently asked questions

Who is this math tool for?

It is designed primarily for Kindergarten learners and also works for teacher demonstration, partner discussion, or supported practice at home. Review prerequisite vocabulary when a learner is new to the topic.

What should learners focus on while using Number Bonds and Make Ten?

Focus on whether the action, visual change, and mathematical explanation agree. The answer matters, but the evidence and relationship show whether the idea is understood.

How is a reference prototype different from a published tool?

This page contains the published interaction, feedback, and learning guidance configured for this module.