Comparing Numbers Visually

Year Group

KS2 (Ages 6–7, Year 2)

Duration

55 minutes

Class Size

4 pupils

National Curriculum Alignment

Mathematics Programme of Study: Number – Number and place value (Year 2)

Pupils should be taught to:
- Recognise the place value of each digit in a two-digit number (tens, ones).
- Compare and order numbers from 0 up to 100; use <, > and = signs.

Key Competencies Addressed:

Fluency in number bonds and place value understanding.
Reasoning about number relationships using mathematical language and symbols.
Using visual representations to consolidate conceptual understanding.

Learning Objectives

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

Understand and use the language “more than” and “less than” confidently.
Compare numbers up to 100 using symbols (<, >, =) with support from images and number trackers.
Apply reasoning to explain why one number is greater or smaller than another using visual aids.

Resources Required

Number trackers (split into tens and ones columns, laminated for durability)
Counters or small cubes to place on number trackers
Pre-prepared image cards of groups of objects (to represent numbers, e.g., 17 apples, 23 ducks)
Whiteboard and markers
Mini whiteboards and pens for each pupil
“More than / Less than” sign flashcards
A “comparative language” prompt sheet (for visual / verbal sentence starters)

Lesson Outline

1. Introduction (10 minutes)

Starter Discussion: Briefly revisit what the pupils know about numbers and place value.
Introduce the terms more than and less than clearly; use simple examples with fingers.
Demonstrate with images: show two picture cards (e.g., 15 stars and 23 stars) and ask “Which has more?” and “Which has less?”
Use number trackers with counters to visualise the two numbers physically, emphasising tens and ones.
Write numbers on the board, place them on the number line, and model comparing them with > or < signs.

2. Guided Activity (15 minutes)

Give each pupil a number tracker and counters.
Present pairs of numbers (first as images, then as digits) — e.g., 34 and 27.
Pupils place counters on their trackers to represent each number simultaneously.
Ask pupils to verbally say which number is more/less and explain why, using the language prompts (e.g., “34 is more than 27 because it has 3 tens, which is more than 2 tens”).
Pupils write the correct symbol (<, >, =) between the numbers on mini whiteboards and show to the teacher.

3. Independent Work with Support (15 minutes)

Give pupils sets of cards: number images and digits separately, mixed up.
Pupils work individually to match pairs, place counters on trackers, and write comparative sentences on mini whiteboards.
For added challenge, include pairs with the same amount (e.g., 45 and 45) to use “equal to.”
Teacher circulates, offers prompts and focuses on correct use of language and symbols.

4. Consolidation and Reasoning Discussion (10 minutes)

Bring pupils together and select 3-4 examples from the independent task.
Invite pupils to explain their reasoning aloud to the group.
Use questioning to deepen understanding:
- “How can you be sure this number is more?”
- “What part of the number helped you decide?”
Write exemplary sentences on the board highlighting use of comparative language and symbols.

5. Plenary (5 minutes)

Quick-fire quiz: show two images or digits and ask pupils to shout or hold up the correct “more than” or “less than” flashcard.
Recap key vocabulary and symbols used.
Praise pupils for using mathematical language clearly and supportively.

Assessment

Observe pupils’ explanations during guided and independent work for correct use of comparative language.
Check mini whiteboards to ensure appropriate use of <, > and = symbols.
Use questioning and oral responses to assess depth of reasoning.
Informally mark matched pairs and sentences produced during independent activity to confirm understanding.

Differentiation Strategies

Support: Provide number trackers with smaller number ranges (up to 50) for pupils needing extra help. Use more concrete examples with counters and images.
Challenge: Include three-digit numbers or ask pupils to create their own comparison problems and symbols, explaining their reasoning to the group.

Cross-Curricular Link

English: Using comparative language (“more than,” “less than”) to develop speaking and listening skills.
Science: Counting objects or animals in sets — reinforcing observation and data sorting.

WOW Factor

Use physical number trackers and counters as a tactile “number manipulative” approach, letting pupils physically build and compare numbers rather than relying solely on abstract digits.
Visual imagery combined with symbolic learning cements understanding for all learners, including visual and kinaesthetic types.
Incorporate mini whiteboards for instant feedback and to encourage confidence in mathematical communication.
The small group setting permits personalised exploration of number concepts, enhancing engagement and allowing linguistic precision.

This plan carefully embodies the Year 2 number and place value expectations of the National Curriculum for England, ensuring pupils build a firm foundation for comparisons and numeric reasoning.