Working with Negative Numbers

Scheme of work: Key Stage 3: Year 7: Term 3: Working with Negative Numbers

Prerequisite Knowledge

  • Use negative numbers in context, and calculate intervals across zero
  • Using the number line, pupils use, add and subtract positive and negative integers for measures such as temperature.
  • Interpret negative numbers in context, count forwards and backwards with positive and negative whole numbers, including through zero

Key Concepts

  • A negative sign represents a change in direction on a number line.
  • Using number lines can help students with negative number calculations, especially addition and subtraction.
  • A thermometer is helpful when comparing negative and positive numbers.
  • Students should understand multiplication and division with negatives as an extension of addition and subtraction.

Working Mathematically

  • Develop fluency
    • Consolidate their numerical and mathematical capability from key stage 2 and extend their understanding of the number system.
    • Substitute values in expressions, rearrange and simplify expressions, and solve equations
  • Reason mathematically
    • Extend their understanding of the number system; make connections between number relationships
  • Solve problems
    • Develop their mathematical knowledge, in part through solving problems and evaluating the outcomes, including multi-step problems

Subject Content

  • Number
    • order positive and negative integers, decimals and fractions; use the number line as a model for ordering of the real numbers; use the symbols = , <, >
    • use the four operations, including formal written methods, applied to integers, decimals, proper and improper fractions, and mixed numbers, all both positive and negative

Working with Negative Numbers Resources

Mr Mathematics Blog

Planes of Symmetry in 3D Shapes

Planes of Symmetry in 3D Shapes for Key Stage 3/GCSE students.

Use isometric paper for hands-on learning and enhanced understanding.

GCSE Trigonometry Skills & SOH CAH TOA Techniques

Master GCSE Math: Get key SOH-CAH-TOA tips, solve triangles accurately, and tackle area tasks. Ideal for students targeting grades 4-5.

Regions in the Complex Plane

Explore Regions in the Complex Plane with A-Level Further Maths: inequalities, Argand diagrams, and geometric interpretations.