Mathematics · Year 1

Active learning ideas

Adding by Counting On (to 20)

Active learning makes counting on visible and tangible for young mathematicians. When children move, see, and say the numbers, they turn abstract addition into concrete steps, building confidence and fluency. Each activity in this hub strengthens the connection between counting and adding within 20.

• National Curriculum Attainment Targets
• KS1: Mathematics - Addition and Subtraction

• 15–30 min
• Pairs → Whole Class
• 4 activities

Activity 01

• Outdoor Investigation Session
• 20 min · Pairs

Pair Game: Counting On Snap

Prepare cards with addition facts to 20, larger addend first. Pairs take turns flipping cards and racing to count on aloud using fingers or counters. The first to say the sum correctly keeps the card; discuss any errors together before continuing.

Construct an addition problem that can be solved by counting on from 12.

Facilitation Tip

During Counting On Snap, have pairs verbalize each step aloud to reinforce starting from the larger number and counting forward precisely.

What to look for

Present students with a series of addition problems (e.g., 13 + 4, 9 + 6, 11 + 7). Ask them to solve each by counting on and record their answer. Observe their process and note any students struggling to start from the larger addend or maintain the count.

• Remember
• Understand
• Analyze
• Social Awareness
• Self-Awareness
• Decision-Making

Activity 02

• Outdoor Investigation Session
• 30 min · Small Groups

Small Groups: Number Line Hops

Provide mini number lines (0-20). Groups draw a problem card, identify the larger number, and take turns hopping forward while counting on. Record the sum and share one efficient aspect with the class.

Compare counting on with using number bonds to solve addition.

Facilitation Tip

In Number Line Hops, ask students to explain their jumps before recording the total to ensure they connect the action to the equation.

What to look for

Ask students: 'When is it easier to count on to solve an addition problem, and when might using number bonds be quicker? Give an example for each.' Listen for their reasoning about the size of the numbers involved.

• Remember
• Understand
• Analyze
• Social Awareness
• Self-Awareness
• Decision-Making

Activity 03

• Outdoor Investigation Session
• 25 min · Whole Class

Whole Class: Bead String Chain

Use class set of 20-bead strings. Teacher calls a problem; children slide beads from the larger addend and count on together. Pause for thumbs up/down checks, then reveal and justify the answer as a group.

Justify when counting on is an efficient strategy for addition.

Facilitation Tip

With Bead String Chain, model how to hold the larger group steady and pull the smaller group across to emphasize the ‘count on’ motion.

What to look for

Give each student a card with an addition problem, such as '14 + 3'. Ask them to write the answer and one sentence explaining how they found it using counting on. For example: 'I started at 14 and counted on 3 more: 15, 16, 17. The answer is 17.'

• Remember
• Understand
• Analyze
• Social Awareness
• Self-Awareness
• Decision-Making

Activity 04

• Outdoor Investigation Session
• 15 min · Individual

Individual: Ten-Frame Builds

Children get ten-frames and counters. For each problem like 9 + 4, fill the frame to the larger number then add by counting on. Draw or write the sum and note if counting on was quick.

Construct an addition problem that can be solved by counting on from 12.

Facilitation Tip

For Ten-Frame Builds, encourage children to say the first number first, then touch and count the second to avoid reverting to counting all.

What to look for

Present students with a series of addition problems (e.g., 13 + 4, 9 + 6, 11 + 7). Ask them to solve each by counting on and record their answer. Observe their process and note any students struggling to start from the larger addend or maintain the count.

• Remember
• Understand
• Analyze
• Social Awareness
• Self-Awareness
• Decision-Making

A few notes on teaching this unit

Experienced teachers anchor counting on in concrete materials before moving to mental strategies. They model starting from the larger addend consistently and use peer talk to correct misconceptions in real time. Avoid rushing to abstract symbols; give children time to internalize the process through repeated, varied practice. Research shows that children who physically move objects while counting on develop stronger mental models and greater accuracy.

Successful learners start from the larger addend, count forward accurately, and explain their process with clear language. They use tools like number lines and bead strings to show their thinking and can compare counting on to other strategies. Look for speed, accuracy, and strategy choice in their work.

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Watch Out for These Misconceptions

• During Counting On Snap, watch for students who start counting from 1 or the first card shown in the pair.

  Pause the game and model with the cards: hold up 12 and 3, then say ‘We always start at the larger number, 12, and count on 3: thirteen, fourteen, fifteen.’ Have pairs repeat with their own cards.

• During Number Line Hops, watch for students who count all the hops from zero instead of starting from the larger addend.

  Ask them to point to the starting number on the line and whisper-count only the hops they make. Then have them recount aloud while you model tapping the starting point first.

• During Bead String Chain, watch for students who treat counting on as counting all objects from zero, especially with larger addends.

  Show how to clamp the larger group with one hand, then slide the smaller group bead by bead while saying each number. Ask them to do the same and compare the speed to counting all.

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Methods used in this brief

• Outdoor Investigation Session