Counting On in 7s

Overview

Age Group: Year 4 (aged 8-9)
Subject: Maths
Duration: 45 minutes
Class Size: 30 pupils
National Curriculum Alignment:

• Mathematics Programmes of Study, Number – Number and Place Value:
  Count in multiples of 6, 7, 9, 25, and 1000
• Reasoning and Problem Solving:
  Develop fluency and solve problems involving counting in steps of powers of 10 and other multiples
• White Rose Maths Scheme – Summer Term, Week 1, Step 3 (Count in multiples of 7)

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Learning Objectives

By the end of the lesson, pupils will be able to:

• Count on in multiples of 7 from any given number (NC link: Count in steps of 7 from 0 or any number)
• Use counting in 7s to solve problems and identify number patterns
• Explain their thinking using mathematical language and reasoning

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Success Criteria

Pupils will:

• Confidently say and write sequences counting on in 7s starting from numbers other than zero
• Recognise and state patterns when counting in 7s (e.g., last digit, repeating intervals)
• Explain how they know their answers are correct and justify their reasoning when solving problems
• Identify whether a number appears in a 7s sequence and support their explanation

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Resources

• Whiteboard and marker
• Number lines (0 to 150) laminated for each group
• Individual mini whiteboards and pens
• Counters or cubes in sets of 7
• Worksheet with 7s counting challenges and problem-solving questions
• Example work template for books

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Lesson Outline

1. Introduction (10 minutes)

Engaging Starter - “7 Step Hop”

• Teacher introduces a story: "We’re going on a number adventure with steps of 7. Imagine stepping on stones in a river, but you only jump forward by 7 stones each time!"
• Model counting out loud with whole class: 7, 14, 21, 28, 35 … then ask pupils to join in counting from zero to 70.
• Change starting points: “Now let’s start at 5. What's the next number if we count on 7 from 5?” Pupils count together: 12, 19, 26…

Key Teaching Point: Explain how counting on in 7s means starting from a number and repeatedly adding 7.

Targeted Whole Class Questions (using Bloom’s Taxonomy):

• Remembering: What is 7 more than 35?
• Understanding: Can you explain why 21 comes after 14 when counting by 7s?
• Applying: If we start at 10 and count on in 7s, what’s the fifth number we say and why?
• Analysing: How does the last digit change when we count in 7s? What pattern do you notice?
• Evaluating: If someone says 48 is in the 7s sequence starting at 7, do you agree? Why or why not?
• Creating: Can you make up your own number sequence by counting on in 7s from a number you choose?

AfL (Assessment for Learning):

• Use mini whiteboards for pupils to show answers quickly.
• Listen carefully to Pupils’ reasoning in explanations to identify misconceptions (e.g., confusing addition with multiplication, errors in sequences).

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2. Modelling (10 minutes)

Step-by-step Example to Copy
Write this example on the board and provide printed copies for pupils:

Step	Number	Explanation
1	7	Starting from 0, add 7 once.
2	14	Add 7 again: 7 + 7 = 14
3	21	14 + 7 = 21
4	28	21 + 7 = 28
5	35	28 + 7 = 35

Teacher models:

• Write out the number sequence for counting on in 7s from 0 and then from 3.
• Explain each step; highlight that the process is repeated adding 7 each time.
• Demonstrate how to check answers using reverse operation (e.g., subtracting 7).

AfL:

• Question pupils: “What do you think the next number will be? Why?”
• Ask volunteers to explain how they find the next number in the sequence.
• Address inaccuracies immediately with guided questioning.

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3. Guided Practice (15 minutes)

Paired Activity:

• Pupils use laminated number lines (0–150) to count on 7s starting from different numbers (e.g., 1, 4, 11).
• They record sequences in books and explain to partners how they know the next number.
• Encourage them to find at least five numbers in each sequence.

Targeted Whole Class Questions:

• “How can you tell if a number will be in the sequence when counting on in 7s?”
• “What patterns can we spot in the last digits of numbers in the 7s sequences?”
• “If you count on in 7s from 5 and subtract 7, which number do you get? Why is this useful?”
• “Can you create a word problem about counting on in 7s for your partner to solve?”

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4. Common Misconceptions and Difficulties (5 minutes)

Misconceptions:

• Pupils may confuse counting on in 7s with multiplying by 7 (thinking the difference grows each time).
• Difficulty recognising the sequence if starting number is not zero or a multiple of 7.
• Confusing counting by addition with memorising random numbers.

Difficulty Area - Rounding to Nearest 10: Note: Linking to rounding as a connection to number sense

• Some pupils may round numbers incorrectly by misunderstanding the midpoint (e.g., rounding 15 down rather than up).
• Pupils may struggle to explain why a number rounds up or down, especially near boundaries.

Strategies:

• Revisit number lines to demonstrate rounding boundaries visually.
• Use targeted questioning to encourage justification: “Why do you think 43 rounds down to 40, not up to 50?”

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5. Plenary (5 minutes)

Class Discussion:

• Invite pupils to explain how they count on in 7s and describe patterns they noticed.
• Use Bloom’s evaluation question: “How would counting in 7s help you in real-life situations? Can you give me an example?”

Quick Quiz on Mini Whiteboards:

• Write numbers and ask pupils if they are in the 7s sequence starting at a given number. Pupils must justify their answers.
• Example: “Is 64 in the sequence counting on in 7s from 3? Explain your answer.”

Success Criteria Review:

• Recap the success criteria and ask pupils to self-assess.
• “Can you confidently count on in 7s and explain your reasoning? Give a thumbs up/down.”

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Example for Pupils’ Books

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Counting on in 7s from 5:

5 + 7 = 12
12 + 7 = 19
19 + 7 = 26
26 + 7 = 33
33 + 7 = 40

I know the next number by adding 7 to the previous number. The sequence increases evenly every time.

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Additional Notes

• This lesson is deliberately interactive with kinesthetic, visual, and verbal elements to keep all learners engaged.
• Questioning is designed to reach higher-order thinking aligned with Bloom’s Taxonomy – not just recall, but reasoning and creation.
• AfL is embedded through mini whiteboards, partner talk, and observational checks for misconceptions.
• Use White Rose resources as a foundation and extend with rich, concept-focused questioning and explanations.

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This plan meets the national statutory requirements for Year 4 Number and Place Value, supporting pupils to fluently count in steps of 7 and articulate their understanding clearly.