**Our Aims:**

The Mathematics Department aims to:

enable students to:

- develop fluent knowledge, skills and understanding of mathematical methods and concepts
- acquire, select and apply mathematical techniques to solve problems
- reason mathematically, make deductions and inferences, and draw conclusions
- comprehend, interpret and communicate mathematical information in a variety of forms appropriate to the information and context.

**Mathematics at Key Stage 5 (Resit):**

Students will cover either:

GCSE Mathematics Foundation Tier

Foundation Tier:

**Number**

Types of Number and BODMAS; Wordy Real-Life Problems; Multiplying and Dividing by 10, 100 etc; Multiplying and Dividing Whole Numbers; Multiplying and Dividing with Decimals; Negative Numbers; Prime Numbers; Multiples, Factors and Prime Factors; LCM and HCF; Fractions without a Calculator; Fraction Problems; Fractions, Decimals and Percentages; Rounding Numbers; Estimating; Estimating; Rounding Errors; Powers; Roots; Standard Form.

**Algebra**

Simplifying; Multiplying and Dividing; Multiplying double brackets; Factorising; Solving Equations; Expressions, Formulae and Functions; Formulae and Equations from Words; Formulae and Equations from Diagrams; Rearranging Formulae; Sequences; Inequalities; Quadratic Equations; Simultaneous Equations; Proof.

**Graphs**

Coordinates and Midpoints; Straight-Line Graphs; Drawing Straight-Line Graphs; Gradients; y = mx + c; Using y = mx + c; Quadratic Graphs; Harder Graphs; Solving Equations Using Graphs; Distance=Time Graphs; Real-Life Graphs.

**Ratio, Proportion and Rates of Change**

Ratios; Direct Proportion Problems; Inverse Proportion Problems; Percentages; Compound Growth and Decay; Unit Conversions; Area and Volume Conversions; Time Intervals; Speed, Density and Pressure.

**Shapes and Area**

Properties of 2D Shapes; Congruent Shapes; Similar Shapes; The Four Transformations; Perimeter and Area; Circles; 3D Shapes; Surface Area; Volume; Projections.

**Angles and Geometry**

Angle Basics; Five Angle Rules; Parallel Lines; Geometry Problems; Angles in Polygons; Triangle Construction; Loci and Construction; Bearings; Maps and Scale Drawing; Pythagoras’ Theorem; Trigonometry — Sin, Cos, Tan; Trigonometry — Examples; Trigonometry — Common Values; Vectors.

**Probability and Statistics**

Probability Basics; Probability Experiments; The AND / OR Rules; Tree Diagrams; Sets and Venn Diagrams; Sampling and Bias; Collecting Data; Mean, Median, Mode and Range; Simple Charts and Graphs; Pie Charts; Scatter Graphs; Frequency Tables — Finding Averages; Grouped Frequency Tables; Interpreting Data; Comparing Data Sets;

**Hyperlink to appropriate exam spec:**

**Hyperlink to appropriate past/specimen papers:**

**Hyperlink to appropriate BBC bitesize page or other website(s):**

https://www.bbc.com/education/subjects/z38pycw

**Staff:**

Mrs Rebecca Hughes

Mrs Wendy Jack