Your Basket 0 items - £0.00

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.

- 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

- When multiplying and dividing with fractions students should cross-simplify the question to cancel out common terms.
- Being able to visualise 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.

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

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

August 22, 2019

When getting ready for a new school year I have a list of priorities to work through. Knowing my team have all the information and resources they need to teach their students gives me confidence we will start the term in the best possible way. Mathematics Teaching and Learning Folder All teachers receive a folder […]

July 6, 2019

Earlier this week, my school took part in a trial OFSTED inspection as part of getting ready for the new inspection framework in September 2019. This involved three Lead Inspectors visiting our school over the course of two days. The first day involved a ‘deep dive’ by each of the Lead Inspectors into Mathematics, English […]

June 30, 2019

The method of how to solve quadratics by factorising is now part of the foundational knowledge students aiming for higher exam grades are expected to have. Here is an example of such a question. Solve x2 + 7x – 18 = 0 In my experience of teaching and marking exam papers students often struggle with […]