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
4 Part Lesson
Addition with Algebraic Fractions (Single Brackets)
4 Part Lesson
Multiplying and Dividing with Algebraic Fractions (Single Brackets)
4 Part Lesson
Algebraic Fractions (Single Bracket)
4 Part Lesson
Calculations with Fractions and Mixed Numbers
4 Part Lesson
Dividing Mixed Numbers and Top-Heavy Fractions
4 Part Lesson
Dividing with Fractions using Visual Methods
4 Part Lesson
Multiplying Mixed Numbers and Top-Heavy Fractions
4 Part Lesson
Multiplying with Fractions
Additional Resources
Extended Learning
Dividing with Fractions
Extended Learning
Multiplying Fractions
Problem Solving
Fractions
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

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