Multiplying and Dividing with Fractions

Students learn about multiplying and dividing with fractions and mixed numbers using both visual and written methods.  Learning progresses from finding the product of two fractions to using reciprocal value to divide one mixed number by another.

This unit takes place in Year 8 Term 2 and follows on from working with fractions in Year 7.


Multiplying and Dividing with Fractions Lessons
Prerequisite Knowledge
  • 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
Key Concepts
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 for the priority of 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

Mr Mathematics Blog

Trigonometric Identities Sin, Cos and Tan

How to introduce the sin, cos and tan trigonometric identities.

Calculating a Reverse Percentage

How to teach calculating the original amount after a percentage change.

Comparing Datasets using the Mean and Range

The importance of the range when comparing comparing datasets.