Number Bonds to 10

Active learning works because Year 1 students develop number sense best when they move, talk, and use objects. Moving from counting every object to counting on requires repeated practice with visual and physical tools, which active methods provide naturally.

• Year 1
• Mathematics
• 3 activities
• 10 min–25 min

Learning Objectives

1. Identify all pairs of numbers that sum to 10.
2. Calculate the missing number in a number bond to 10.
3. Explain how knowing number bonds to 10 supports addition calculations.
4. Demonstrate how number bonds to 10 can be used to solve subtraction problems.
5. Compare strategies for finding number bonds to 10, such as counting on or using manipulatives.

Peer Teaching

⏱ 15 min·Pairs

Peer Teaching: Strategy Swap

In pairs, one student solves an addition problem by 'counting all' with cubes, while the other 'counts on' using a number line. They then explain to each other which way was faster and why.

Prepare & details

Construct all possible number bonds for the number 10.

Facilitation Tip: During Strategy Swap, model how to give specific, kind feedback first before switching partners.

Setup: Presentation area at front, or multiple teaching stations

Materials: Topic assignment cards, Lesson planning template, Peer feedback form, Visual aid supplies

• Understand
• Apply
• Analyze
• Create
• Self-Management
• Relationship Skills

Simulation Game

⏱ 25 min·Small Groups

Simulation Game: The Addition Shop

Set up a small shop with items priced 1p to 10p. Students take turns being the shopkeeper and the customer, adding the cost of two items together and 'taking away' the money from their purse to practice subtraction.

Prepare & details

Justify why knowing number bonds helps with addition and subtraction.

Facilitation Tip: In The Addition Shop, demonstrate how to use a shopping list to record number bonds after each transaction.

Setup: Flexible space for group stations

Materials: Role cards with goals/resources, Game currency or tokens, Round tracker

• Apply
• Analyze
• Evaluate
• Create
• Social Awareness
• Decision-Making

Think-Pair-Share

⏱ 10 min·Pairs

Think-Pair-Share: True or False?

The teacher shows a card like '5 - 2 = 7'. Pairs must discuss if it is true or false, use cubes to prove their answer, and then share their reasoning with the class.

Prepare & details

Compare different strategies for finding number bonds.

Facilitation Tip: For True or False, pause after each statement and give students 10 seconds to turn and talk before sharing their reasoning.

Setup: Standard classroom seating; students turn to a neighbor

Materials: Discussion prompt (projected or printed), Optional: recording sheet for pairs

• Understand
• Apply
• Analyze
• Self-Awareness
• Relationship Skills

Teaching This Topic

Teachers should introduce number bonds with concrete objects first, then move to pictorial representations like ten-frames before abstract symbols. Avoid rushing to written equations; allow children to verbalize their thinking first. Research shows that children who verbalize their counting strategies develop stronger mental math skills.

What to Expect

Students will confidently use number bonds to 10 without counting every object, explain their reasoning using number lines or objects, and recognize the connection between addition and subtraction. They will share strategies with peers and correct each other’s mistakes respectfully.

Watch Out for These Misconceptions

Common Misconception

During Strategy Swap, watch for students who count the starting number when counting on (e.g., saying '5, 6, 7' for 5 + 3).

What to Teach Instead

Give each pair a number line and ask them to circle the starting number, then physically jump to show that the first jump is the first count after 5.

Common Misconception

During The Addition Shop, watch for students who think 3 - 5 is the same as 5 - 3.

What to Teach Instead

Use the shop items to model: 'If you have 3 toy cars, can you give away 5? Show me.' Then swap the numbers with 5 cars to show the difference in meaning.

Assessment Ideas

Exit Ticket

After Strategy Swap, give each student a card with a number from 1 to 9. Ask them to write the missing number to make 10, then draw a quick number line to show their counting on strategy.

Quick Check

During The Addition Shop, listen for students who correctly pair numbers to make 10 when paying for items, and ask them to explain their choice without counting each item individually.

Discussion Prompt

After True or False, ask students to explain their answer using number bonds they know (e.g., 'I know 6 + 4 = 10, so 10 - 4 must be 6.'). Record their explanations on the board to highlight the inverse relationship.

Extensions & Scaffolding

• Challenge: Ask students to create a mini story where a character uses number bonds to solve a problem, such as sharing 10 sweets among friends.
• Scaffolding: Provide a number line with the first addend already marked so students only need to count on.
• Deeper exploration: Have students investigate which numbers between 1 and 9 have the most number bonds to 10 and explain why.

Key Vocabulary

Number Bond	A visual representation showing how a whole number can be broken down into two parts. For example, 7 and 3 are parts of the whole 10.
Part	One of the two numbers that make up a whole number when using a number bond. For the number bond of 10, the parts are the two numbers that add up to 10.
Whole	The total number that is made up of two parts. In this topic, the whole is always the number 10.
Addition	The process of combining two or more numbers to find a total. For example, 4 plus 6 equals 10.
Subtraction	The process of taking away one number from another to find the difference. For example, 10 minus 3 equals 7.