# pre-a level

Problems and resources that I've used with years 7-11.

## Cuboids cuboids.pdf

A set of problems on volumes and surface areas of cuboids, suitable for Year 7 or above. The final problem (finding cuboids whose surface area and volume are (numerically) equal) is lovely!

## Expressions

An introduction to forming expressions for the total number of tiles used in forming a pattern. The problems are designed to get pupils to focus on the structure of the pattern rather than simpy spotting an nth term rule. A couple of follow-up tasks here.

## Algebraic fractions fractions.pdf

Some simplifying of fractions with some more open-ended questions and reverse problems at the end.

## Ratio and proportion Ratio_Proportion.pdf

Some mixed questions on proportional reasoning.

## Trigonometry measuring_triangles.pdf

A plan for an introductory lesson on trigonometry ('measuring triangles'), with a focus on the techniques needed, rather than formal language. Pupils get used to the idea of using the tan ratio (without calling it that) and inverse functions.

## Sixth form transition materials single_maths_summer_work.pdf further_maths_summer_work.pdf

Preparation given to prospective sixth form maths students for the summer holidays.