Your Basket 0 items - £0.00

Students learn how to solve problems with long multiplication and division using written methods. They use this knowledge to add, subtract, multiply and divide with fractions and mixed numbers. Finally, students learn the difference between terminating and recurring decimals and how to convert a recurring decimal to a simplified fraction.

This unit takes place in Term 1 of Year 9 and is followed by algebraic fractions.

- express one quantity as a fraction of another, where the fraction is less than 1 or greater than 1
- interpret fractions as operators
- estimate answers; check calculations using approximation and estimation, including answers obtained using technology
- order positive and negative decimals

- apply the four operations, including formal written methods, simple fractions (proper and improper)
- express one quantity as a fraction of another, where the fraction is less than 1 or greater than 1
- apply the four operations, including formal written methods, to mixed numbers both positive and negative;
- calculate exactly with fractions

- All rational numbers are written using exact proper or improper fractions.
- When adding or subtracting fractions the denominators need to be equal.
- Dividing fractions is equivalent to multiplying by a reciprocal.
- When calculating with decimal numbers encourage students to estimate the solution as means to check their working.
- Students may need to recap multiplying and diving by powers of ten when calculating the product of decimal numbers.
- Use equivalent fractions when performing long division. Simplifying the fractions help to break down the calculation.

- A fraction with a smaller denominator has a lesser value.
- Fractions such as 3/5 can incorrectly assumed to have a decimal equivalence of 3.5.
- Students incorrectly consider multiplications to always increase a number and divisions to decrease.
- Students fail to spot incorrect calculations due to not estimating solutions.

October 28, 2019

Last year my school had a OFSTED trial inspection. Whilst the maths team recieved favourable feedback the inspectors noted a need for a focus on whole school literacy. Because of this I was asked to demonstrate how we develop student’s literacy in mathematics. Literacy in Mathematics By developing student’s literacy in mathematics we aim to […]

October 16, 2019

There are two key learning points when solving problems with angles in polygons. The first is to understand why all the exterior angles of a polygon have a sum of 360°. The second is to understand the interior and exterior angles appear on the same straight line. Students can be told these two facts and […]

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 […]