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### *Foundation GCSE Maths Levels 1-5 TOPICS

We get to know your child through conversation, assessment and tuition. Now is the time to begin to receiving support; set academic goals; build confidence and resilience in preparation for GCSE Maths.

We follow a 6-step process to create your bespoke GCSE programme, ready for you to be welcomed into an elite group of like-minded, motivated students wanting to achieve their potential. You will learn, and your confidence will grow in this supportive environment.

### GCSE Maths Foundation Topics

Number

Types of Number and BODMAS

• Wordy Real-Life Problems

• Multiplying and Dividing by 10, 100, etc.

• Whole Numbers, Decimals

• Negative Numbers & Prime Numbers

• Multiples, Factors and Prime Factors

• LMC and HCF

• Fractions without a Calculator

• Fractions, Decimals and Percentages

• Rounding & Estimating Numbers

• Powers, Roots, Standard Form

Algebra

• Simplifying & Multiplying & Dividing

• Multiplying Double Brackets

• Factorising, Solving Equations

• Expressions, Formulas & Functions

• Formulas & Equations from Words

• Formulas & Equations from Diagrams

• Rearranging Formulas

• Sequences

• Inequalities

• Quadratic & Simultaneous Equations Proof

Graphs

• Coordinates & Midpoints

• Straight-Line Graphs

• Drawing Straight-Line Graphs

• Straight-Line Graphs - Gardients

• Straight-Line Graphs - y = mx + c

• Using y = mx + c

• Harder Graphs

• Solving Equations Using Graphs

• Distance-Time Graphs

• Real-Life Graph

Ratio, Proportion and Rates of Change
Ratios

• Direct & 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

• Perimeter and Area - Circles

• 3D Shape,  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 Drawings

• Pythagoras' Theorem

• Trigonometry - Sin, Cos, Tan

• Trigonometry - Common Values

• Vectors - Theory

Probability and Statistics

• Probability Basics

• More Probability

• 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

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