In the Year 9 Higher groups in Maths, we have just completed the unit on Fractions. This is a unit which the students visited briefly in Year 7 and Year 8, but having started the GCSE 3- Year Scheme at the start of this academic year, the work was covered in greater depth.
We began the unit revisiting basic fraction skills, such as simplifying fractions and converting between mixed and improper fractions. We then looked at calculations involving fractions (adding, subtracting, multiplying and dividing). Pupils then applied these skills to various GCSE problem-solving questions, such as those involving area and perimeter of 2D shapes and combining the two different areas of mathematics.
Next, we looked at a new topic involving fractions – converting recurring decimals to fractions. Recurring decimals are decimals that contain a digit or a sequence of digits which repeats itself forever such as 0.3333333333….; this would be written as 0.3 or 13 if written as a fraction (unlike irrational numbers whose decimals have no pattern). Pupils really enjoyed learning this as it involved transferring some of their algebra skills from earlier on in the year. Emphasis was made on the layout of their calculations to ensure working out is clear and pupils secure all the marks if it was a GCSE exam question.