Foundations of Mathematical Thinking · 1st Year

Active learning ideas

Number Bonds to 10

Active learning helps students internalize number bonds by connecting abstract symbols to concrete visuals and physical actions. Manipulatives like ten frames and counters make the idea of ‘parts making a whole’ tangible, reducing reliance on rote memorization. When students move counters, turn dominoes, or play snap games, they build number sense through repeated, meaningful interactions with the same pairs of numbers.

• NCCA Curriculum Specifications
• NCCA: Primary - Number
• NCCA: Primary - Algebra

• 20–35 min
• Pairs → Whole Class
• 4 activities

Activity 01

• Stations Rotation
• 30 min · Pairs

Ten Frame Pairs: Build and Match

Provide ten frames and two-color counters. Students fill frames to show pairs adding to 10, like 3 yellow and 7 red. Partners match and record bonds on mini-whiteboards, discussing swaps. Swap materials halfway for variety.

Analyze how knowing number bonds to 10 helps us with addition and subtraction.

Facilitation Tip

During Ten Frame Pairs, ask students to verbalize how many dots are in each section before they record the bond to strengthen oral reasoning.

What to look for

Give each student a card with a number from 0 to 10. Ask them to write down the number that pairs with it to make 10. Then, have them write one addition sentence and one subtraction sentence using these two numbers and 10.

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

Activity 02

• Stations Rotation
• 25 min · Small Groups

Domino Bond Hunt: Roll and Find

Students roll two dice, draw the total on a ten frame, then find the bond pair from domino cards. They sort matches into a class chart. Extend by predicting rolls before revealing.

Construct all the different ways to make 10 using two numbers.

Facilitation Tip

In Domino Bond Hunt, have students say the bond aloud as they place matching dominoes to reinforce number recognition and spoken math.

What to look for

Display a ten frame with some dots filled in. Ask students to write the number of empty spaces and then state the complete number bond. For example, if 7 dots are shown, they write '3' and say '7 and 3 make 10'.

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

Activity 03

• Stations Rotation
• 20 min · Pairs

Number Bond Snap: Card Game

Create cards with numbers 0-10 and ten frames. Students play snap by matching bonds, like 2 and a 2+8 frame. Discuss why pairs work during play.

Predict what happens if we swap the two numbers in a number bond.

Facilitation Tip

For Number Bond Snap, insist students say the matching pair aloud before slapping the cards to build automaticity and social accountability.

What to look for

Pose the question: 'If you know that 2 + 8 = 10, what else do you automatically know about numbers and the total 10?' Guide students to discuss the related subtraction facts (10 - 2 = 8, 10 - 8 = 2) and the commutative property (8 + 2 = 10).

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

Activity 04

• Stations Rotation
• 35 min · Individual

Part-Whole Station: Model Making

At stations, students use interlocking cubes to build wholes of 10 and break into parts. Record in journals and share one bond with the class.

Analyze how knowing number bonds to 10 helps us with addition and subtraction.

Facilitation Tip

At the Part-Whole Station, model how to rotate the diagram 180 degrees to show that swapping parts doesn’t change the whole.

What to look for

Give each student a card with a number from 0 to 10. Ask them to write down the number that pairs with it to make 10. Then, have them write one addition sentence and one subtraction sentence using these two numbers and 10.

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

A few notes on teaching this unit

Start with a short, whole-group demonstration using a large ten frame and two colors of counters to model how 10 is made from two parts. Avoid teaching rules like ‘count up from 5’ because these can mask gaps in understanding for students who need concrete support. Instead, let students discover patterns by physically building and rebuilding the bonds, discussing their observations with partners. Use consistent language such as ‘part, part, whole’ to connect visual models to symbolic recordings.

Students will confidently list all number bonds to 10 without hesitation and explain how swapping addends does not change the total. They will use ten frames, dominoes, cards, and diagrams to model these bonds and verbally justify their answers using clear math language. Peer discussions and recordings show that they see connections between addition and subtraction facts.

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Watch Out for These Misconceptions

• During Ten Frame Pairs, watch for students who only match adjacent numbers like 4 and 6 or 5 and 5.

  Prompt students to fill their ten frames completely in both colors and then ask, ‘Which color has fewer dots?’ to guide them to distant pairs like 1 and 9.

• During Number Bond Snap, watch for students who think 3 + 7 is different from 7 + 3.

  Have students rotate their cards 180 degrees and say, ‘This card is still the same total, just swapped,’ to build the idea of commutativity.

• During Part-Whole Station, watch for students who omit 0 + 10.

  Model placing all ten counters in one color and zero in the other, then ask, ‘Does the whole still equal 10?’ to normalize the pair.

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Methods used in this brief

• Stations Rotation