Working with Decimal Numbers

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

Prerequisite Knowledge

  • Multiply multi-digit numbers up to 4 digits by a two-digit whole number using the formal written method of long multiplication.
  • Divide numbers up to 4 digits by a two-digit whole number using the formal written method of long division, and interpret remainders as whole number remainders, fractions, or by rounding, as appropriate for the context
  • Solve problems involving addition, subtraction, multiplication and division
  • Multiply one-digit numbers with up to two decimal places by whole numbers
  • Use written division methods in cases where the answer has up to two decimal places

Key Concepts

  • Students should have a good understanding of the place value table to add and subtract with decimal numbers.
  • When multiplying with decimal numbers students should be able to use a range of range of written methods.
  • Estimations should be made when dividing and multiplying with decimals.
  • When rounding to a decimal place the number is rounded up if it is exactly midway between two numbers.

Working Mathematically

  • Develop fluency
    • Consolidate their numerical and mathematical capability from key stage 2 and extend their understanding of the number system and place value to include decimals.
  • 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
    • Develop their use of formal mathematical knowledge to interpret and solve problems, including in financial mathematics.

Subject Content

  • Understand and use place value for decimals, measures and integers of any size
  • Order positive and negative integers, decimals and fractions; use the number line as a model for ordering of the real numbers; use the symbols =, % , <, >

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