Multiplying and Dividing with Fractions

Scheme of work: Key Stage 3: Year 8: Term 3: Multiplying and Dividing with Fractions

Prerequisite Knowledge

  • Order positive and negative integers, decimals and fractions; use the number line as a model for ordering 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

Key Concepts

  • When multiplying and dividing with fractions students should cross-simplify the question to cancel out common terms.
  • Visualising division with fractions and mixed numbers helps students understand the written methods.
  • To divide with fractions, students need to understand reciprocals and how to multiply and divide with 0.1 and 0.01.
  • Answers should be left in their simplest terms.

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 and fractions.
  • Reason mathematically
    • Extend their understanding of the number system; make connections between number relationships, and their algebraic and graphical representations
  • Solve problems
    • Develop their mathematical knowledge, in part through solving problems and evaluating the outcomes, including multi-step problems.

Subject Content

  • Number
    • Use conventional notation to prioritise operations, including brackets, powers, roots and reciprocals.
    • Use the four operations, including formal written methods, applied to integers, decimals, proper and improper fractions, and mixed numbers, all both positive and negative
    • Use a calculator and other technologies to calculate results accurately and then interpret them appropriately

Multiplying and Dividing with Fractions Resources

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