### Revision GCSE Maths Higher Tier TOPICS

College & University expectations are refocusing on GCSE results. Will your child get the results that they need to gain entry or be eligible for that special job? An increase in scores from Level 4 or 5 upward to Level 8 or 9 makes all the difference. We can give your child the knowledge and tools to achieve.

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The sooner you begin revision, the more successful and confident you will be on the day of the GCSE Maths Exam

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Higher Tier Maths Topics

Number

Types of Number and BODMAS

Multiples, Factors and Prime Factors

LCM and HCF

Fractions, Decimals, Percentages

Recurring Decimals

Rounding & Estimating Numbers

Bounds

Standard Form

Algebra

Algebra Basics

Powers and Roots

Multiplying Out Brackets

Factorising

Manipulating Surds

Solving Equations

Rearranging Formulas

Factorising Quadratics

The Quadratic Formula

Completing the Square

Algebraic Fractions

Sequences

Inequalities

Graphical Inequalities

Iterative Method

Simultaneous Equations

Proof

Functions

Graphs

Straight Lines and Gradients

y = mx + c

Drawing Straight Line Graphs

Coordinates and Ratio

Parallel and Perpendicular Lines

Quadratic Graphs

Harder Graphs

Solving Equations Using Graphs

Graph Transformations

Real-Life Graphs

Distance-Time Graphs

Velocity-Time Graphs

Ratio, Proportion and Rates of Change

Ratios

Direct and Inverse Proportion

Percentages

Compound Growth and Decay

Unit Conversions

Speed, Density and Pressure

Higher Tier Maths Topics cont.

Geometry and Measures

Geometry

Parallel Lines

Geometry Problems

Polygons

Triangles and Quadrilaterals

Circle Geometry

Congruent Shapes

Similar Shapes

The Four Transformations

Area - Triangles and Quadrilaterals

Area - Circles

3D Shapes- Surface Area

3D Shapes - Volume

More Enlargements and Projections

Triangle Construction

Loci and Consstruction

Examples

Bearings

Pythagoras and Trigonometry

Pythagoras' Theorem

Trigonometry - Sin, Cos, Tan

Trigonometry - Examples

Trigonometry - Common Values

The Sine and Cosine Rules

3D Pythagoras

3D Trigonometry

Vectors

Probability and Statistics

Probability Basics

Counting Outcomes

Probability Experiments

The AND / OR Rules

Tree Diagrams

Conditional Probability

Sets and Venn Diagrams

Sampling and Bias

Collecting Data

Mean, Median, Mode and Range

Frequency Tables - Finding Averages

Grouped Frequency Tables

Box Plots

Cumulative Frequency

Histograms and Frequency Density

Time Series

Scatter Graphs

Comparing Data Sets

### GCSE MATHS HIGHER TIER Levels 4 - 9

The lead Online GCSE Maths Tutor

Chris, has been teaching Maths since 2005, transitioning to online Maths in 2019. His expertise includes Maths KS3, GCSE (Foundation and Higher Tier), A-level maths and International Baccalaureate. Chris is an excellent communicator and is passionate about the outdoors and wellbeing.

LearningClubs GCSE Maths courses supports students' greater subject knowledge and self-confidence.

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Chris brings an experienced hand to online group GCSE Maths tuition using Google Teams for students to learn and be academically challenged in a safe and respectful environment. Break-out rooms are organised for students to practice assigned exercises before presenting to the group. Research indicates that this and intermittent review are teaching methods critical for students to learn and retain information. He provides direct instruction to those students needing additional attention and to stretch high achievers.

## Parent

We just want to thank you both for the help over the past 2 years! Sam is full of praise and says without question she has helped her more than the teacher at school. Seeing her confidence grow has been wonderful and never once has she complained about having to go. We are thrilled with her progress.