# STUDENT WORKSHEETS & TEACHER NOTES

These activities are designed to foster heuristic learning approaches to mathematical topics. The appropriate engagement with technology enables students to explore and hypothesise for themselves and to develop deep conceptual understanding.

The Teacher Notes provide solutions to the *Student Worksheet* with appropriate prompts and proofs to clarify understanding and address any misconceptions.

# Algebra & Functions

## ALGEBRA & FUNCTIONS **AS-Level** Worksheets

This set of resources provides support for the DfE Content – Algebra and functions and Coordinate geometry in the (x,y) plane. Working with quadratic functions and their graphs and understanding and use the coordinate geometry of the circle.

## Algebra & Functions** A-Level** Worksheets

This set of resources provides support for the DfE Content – Sequences and series, Trigonometry and Algebra and Functions.* *Working with sequences including those given by a formula for the nth term, understanding the use of trigonometric expressions and understanding the effect of combinations of simple transformations on the graph.

# Calculus

## Calculus** AS-LEVEL** WORKSHEETS

This set of resources provides support for the DfE Content – Statistical distributions and Integration. Including how to understand and use the derivative of f(x) as the gradient of the tangent to the graph of y = f(x) at a general point (x,y). As well as evaluating definite integrals; using a definite integral to find the area between two curves.

## CALCULUS **A-LEVEL** WORKSHEETS

This set of resources provides support for the DfE Content – Numerical methods. Students are asked to solve equations using the Newton-Raphson method and recurrence relations.

# Statistics

## Statistics **AS-LEVEL** WORKSHEETS

This set of resources provides support for the DfE Content – Statistical distributions. This includes how to understand and use simple, discrete probability distributions, including the binomial distribution as a model; and calculate probabilities using the binomial distribution.

## Statistics** A-LEVEL** WORKSHEETS

This set of resources provides support for the DfE Content – Statistical distributions. Covering the understanding and use of the Normal distribution; and finding probabilities using the Normal distribution.