Exploring Negative Numbers

Lesson Overview

Duration: 30 minutes
Class size: 6 students
Year group: 7
Curriculum reference: Mathematics - Number - Number and place value (National Curriculum for England)
Focus: Introduction to negative numbers and understanding their place on the number line

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Learning Objectives (WALT)

• WALT understand and use negative numbers in context
• WALT represent negative numbers on a number line
• WALT order and compare positive and negative integers

National Curriculum Links

• NC Maths KS3 Number & place value:
  "use negative numbers in context, and calculate intervals across zero."
• Develop understanding of integers and their position on a number line (Years 7 & 8 focus).
• Compare, order, add and subtract integers, including negative numbers.

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Success Criteria

Students will:

• Correctly plot positive and negative integers on a numbered line
• Explain what negative numbers represent in real-life contexts (e.g. temperature, floors in a building)
• Order sets of positive and negative numbers from smallest to largest
• Show confidence in comparing negative and positive integers using > and < signs

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Resources

• Large number line (floor tape or wall-mounted) marked from -10 to +10
• Individual mini whiteboards and markers
• Printed number cards (-10 to +10)
• Dyslexia-friendly worksheets with clear font (e.g. OpenDyslexic) and coloured overlays option
• Scenario cards (temperature, bank balance, lifts in a building)
• Differentiated question sheets
• Small counters or tokens for visual aid

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Lesson Activities

Starter (5 minutes)

Activity: Real-life Context Introduction

• Present 3 short contextual scenarios involving negative numbers, eg:
  • Temperature: -5°C in winter
  • Floors in a building: Basement floor -3
  • Bank overdraft: £-20
• Discuss meaning of negative numbers in each case to build conceptual understanding.
• Use questioning to assess prior knowledge ("Has anyone heard of or seen negative numbers before?")

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Main Activity (20 minutes)

1. Number Line Exploration (10 mins)

• Place the large number line on the floor or wall.
• Call out numbers between -10 and +10. Students place the corresponding number card on the correct spot.
• Students then use mini whiteboards to write a positive or negative number when the teacher calls out a position or vice versa.
• Discuss relative positioning: Which is bigger: -2 or -5? Why?
• Use counters to represent distance from zero visually.

Differentiation:

• Support: Use fewer numbers on the line (e.g., -5 to +5) for students who need less complexity. Pair with peers for guidance.
• Challenge: Ask students to calculate intervals, e.g., "What is the distance between -3 and 4?"

Visual Aid:

• Use coloured markers or tokens of two colours for positive and negative numbers to support learners who benefit from visual clues.

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2. Ordering and Comparing Activity (10 mins)

• Give students sets of number cards and task them to arrange from smallest to largest.
• Have students write inequalities on whiteboards (e.g., -7 < -3 < 2).
• Use scenario cards and ask: "If the temperature drops from -2 to -7, which is colder?"
• Check understanding through questioning and peer discussions.

Differentiation:

• Support: Provide number cards in order and ask to identify errors in a mixed sequence.
• Challenge: Introduce simple addition/subtraction involving negative numbers for ordering sequences.

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Plenary (5 minutes)

Class Discussion & Reflection

• Pose reflective questions:
  • "How can negative numbers be useful in real life?"
  • "What was easiest or trickiest about placing negative numbers on the line?"
• Ask each student to say one thing they learned today or one question they still have.
• Quick quiz with thumbs up/down on statements, e.g., "Is -5 less than -1?"

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Assessment for Learning

• Observation of students’ participation and ability to place numbers on the number line.
• Review whiteboard work for accuracy in comparing and ordering.
• Formative questioning throughout to check understanding.

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Differentiation Strategies

• Provide multisensory resources (visual, tactile counters, number lines).
• Pair students strategically—stronger students support peers.
• Use clear, dyslexia-friendly fonts and layouts for worksheets; allow use of coloured overlays.
• Allow oral or drawn methods of response where writing is challenging.

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Extension Activities

• Challenge advanced learners to solve simple equations involving negative numbers (e.g., x - 5 = -2).
• Introduce real-life data sets involving negative numbers (such as temperatures over a week) and analyse changes.
• Explore other number sets like rational numbers including negatives (preparation for later years).

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Notes for the Teacher

• Keep the atmosphere supportive and encourage mistakes as learning opportunities.
• Use physical movement with the number line to energise students and embed kinesthetic learning.
• Refer back to contexts frequently for meaningful learning.
• Use praise and positive reinforcement to build confidence with unfamiliar concepts like negative numbers.

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This highly interactive, scaffolded lesson meets the Year 7 curriculum requirements and uses multi-sensory approaches making negative numbers both understandable and engaging.