# A Complete GCSE Math Test Prep Course with a Personal Math Teacher

Hundreds of lessons covering all topics on two GCSE math tests: GCSE Foundations and GCSE Higher Tier. Practice for free or join at any time to access our complete lessons featuring videos, guided practice, self-tests, and more.

START FREE PRACTICE### 93% of our customers say they got the math help they needed. 97% say they would recommend us.

#### GCSE Math Test Prep Reviews

**Charles**

**Lynda**

**Cindy**

**Jay**

**Angie**

**Laura**

**Joey**

#### GCSE Math Scope & Sequence

#### CHAPTER 1: WHOLE NUMBERS

##### Unit 1: Number Concepts

##### Unit 2: Addition and Subtraction

Estimating Sums and Differences

Addition and Subtraction Word Problems

##### Unit 3: Multiplication and Division

Estimating Products and Quotients

Multiplication and Division Word Problems

##### Unit 4: Order of Operations

##### Unit 5: Properties of Real Numbers

#### CHAPTER 2: INTEGERS

##### Unit 1: Integers and the Number Line

##### Unit 2: Integer Operations

##### Unit 3: Order of Operations and Word Problems

#### CHAPTER 3: FRACTIONS

##### Unit 1: Factors and Multiples

Multiples and Least Common Multiples

##### Unit 2: Fractions and Mixed Numbers

Equivalent Fractions (Part II)

Improper Fractions and Mixed Numbers

##### Unit 3: Comparing Fractions

Comparing Mixed Numbers and Improper Fractions

##### Unit 4: Addition and Subtraction

Adding and Subtracting Like Fractions

Adding and Subtracting Unlike Fractions

##### Unit 5: Multiplication and Division

#### CHAPTER 4: DECIMALS

##### Unit 1: Decimal Concept

Converting Decimals to Fractions

Converting Fractions to Decimals

##### Unit 2: Addition and Subtraction

Estimating Sums and Differences

##### Unit 3: Multiplication and Division

Multiplying Decimals by Whole Numbers

Multiplying Decimals by Decimals

Dividing Decimals by Whole Numbers

##### Unit 4: Scientific Notation

Converting from Scientific to Standard Notation

Converting from Standard to Scientific Notation

##### Unit 5: Rational and Irrational Numbers

Terminating and Repeating Decimals

Determining if a Number is Rational or Irrational

#### CHAPTER 5: ALGEBRAIC THINKING

##### Unit 1: Patterns

Patterns with Fractions, Decimals, and Integers

##### Unit 2: Variables and Expressions

##### Unit 3: One-Step Equations

##### Unit 4: Multi-Step Equations

Equations with the Variable on Both Sides

Equations with the Distributive Property

##### Unit 5: Equations with Fractions and Formulas

##### Unit 6: Inequalities

#### CHAPTER 6: RATIO, PROPORTION, AND PERCENT

##### Unit 1: Ratio

##### Unit 2: Proportion

##### Unit 3: Percent Concept

##### Unit 4: Percent Problems

Percent One Number is of Another

Using Percent to Find a Number

##### Unit 5: Percent Applications

#### CHAPTER 7: GEOMETRY

##### Unit 1: Lines and Angles

Points, Lines, Segments, and Rays

Complementary and Supplementary Angles (Part 1)

##### Unit 2: Two-Dimensional Figures

##### Unit 3: Polygons and Angles

Sum of Interior and Exterior Angles

##### Unit 4: Three-Dimensional Figures

Classifying 3-Dimensional Figures

##### Unit 5: Congruent and Similar Figures

Problem Solving with Similar Figures

#### CHAPTER 8: RELATIONSHIPS, FUNCTIONS, AND GRAPHS

##### Unit 1: Introduction to Graphs and Functions

Evaluating and Graphing Functions

##### Unit 2: Graphing Lines

##### Unit 3: Patterns and Graphs

Finding the nth Term in a Pattern

Finite Differences to Generalize a Rule

##### Unit 4: Interpreting Graphs

#### CHAPTER 9: TRANSFORMATIONS AND SYMMETRY

##### Unit 1: Symmetry and Introductory Transformations

##### Unit 2: Congruence Transformations

##### Unit 3: Dilations

#### CHAPTER 10: MEASUREMENT

##### Unit 1: Units of Measurement

##### Unit 2: Perimeter and Circumference

##### Unit 3: Area

Area of Squares and Rectangles

Area of Parallelograms and Trapezoids

##### Unit 4: Surface Area and Volume

Volume of Cylinders, Spheres, and Cones

##### Unit 5: Right Triangles

Using Square Roots to Solve Equations

#### CHAPTER 11: PROBABILITY AND STATISTICS

##### Unit 1: Common Graphs and Charts

##### Unit 2: Representing Data

Stem-and-Leaf Plots and Frequency Tables

##### Unit 3: Central Tendency

##### Unit 4: Probability

Probability of Independent Events

Probability of Dependent Events

##### Unit 5: Counting Methods

#### CHAPTER 1: INTEGERS, EXPONENTS, AND ORDER OF OPERATIONS

##### Unit 1: Exponents, Variables, & Properties

##### Unit 2: Introduction to Integers

##### Unit 3: Operations with Integers

##### Unit 4: Order of Operations

#### CHAPTER 2: FRACTIONS

##### Unit 1: Factors and Multiples

Multiples and Least Common Multiples

##### Unit 2: Fractions and Mixed Numbers

Equivalent Fractions (Part II)

Improper Fractions and Mixed Numbers

##### Unit 3: Comparing Fractions

Comparing Mixed Numbers and Improper Fractions

##### Unit 4: Addition and Subtraction

Adding and Subtracting Like Fractions

Adding and Subtracting Unlike Fractions

##### Unit 5: Multiplication and Division

#### CHAPTER 3: DECIMALS

##### Unit 1: Understanding Decimals

Converting Decimals to Fractions

Converting Fractions to Decimals

##### Unit 2: Comparing, Rounding, and Estimating

Estimating Sums and Differences

##### Unit 3: Scientific Notation

Converting from Scientific to Standard Notation

Converting from Standard to Scientific Notation

##### Unit 4: Rational and Irrational Numbers

Terminating and Repeating Decimals

Determining if a Number is Rational or Irrational

#### CHAPTER 4: ALGEBRAIC EXPRESSIONS

##### Unit 1: Evaluating Algebraic Expressions

##### Unit 2: Simplifying Algebraic Expressions

#### CHAPTER 5: LINEAR EQUATIONS IN ONE VARIABLE

##### Unit 1: Beginning Equations

##### Unit 2: Intermediate Equations

Equations Involving Distributive

##### Unit 3: Advanced Equations

Variable on Both Sides / Fractions

Variable on Both Sides / Distributive

##### Unit 4: Equations with Fractions and Decimals

##### Unit 5: Formulas

#### CHAPTER 6: RATIOS, PROPORTIONS, AND PERCENTS

##### Unit 1: Ratios and Rates

##### Unit 2: Proportions

##### Unit 3: Understanding Percent

##### Unit 4: Percent Problems

##### Unit 5: Percent Applications

#### CHAPTER 7: GEOMETRY CONCEPTS

##### Unit 1: Lines and Angles

Points, Lines, Segments, and Rays

Complementary and Supplementary Angles

##### Unit 2: Two-Dimensional Figures

##### Unit 3: Three-Dimensional Figures

Classifying 3-Dimensional Figures

#### CHAPTER 8: BEGINNING MEASUREMENT

##### Unit 1: Units of Measurement

##### Unit 2: Perimeter and Area

Area of Squares and Rectangles

#### CHAPTER 9: SOLVING WORD PROBLEMS

##### Unit 1: Modeling Expressions and Equations

Translating English to Algebra

##### Unit 2: Introductory Word Problems

##### Unit 3: Advanced Word Problems

#### CHAPTER 10: INEQUALITIES, ABSOLUTE VALUE, FUNCTIONS, GRAPHING

##### Unit 1: Inequalities

Solving and Graphing Inequalities

##### Unit 2: Absolute Value

##### Unit 3: Functions

##### Unit 4: Graphing

Graphing within a Given Domain

Graphing Inequalities in Two Variables

#### CHAPTER 11: TRANSFORMATIONS AND SYMMETRY

##### Unit 1: Introduction to Transformations & Symmetry

##### Unit 2: Congruence Transformations

##### Unit 3: Dilations

#### CHAPTER 12: LINEAR EQUATIONS IN TWO VARIABLES

##### Unit 1: Patterns and Table Building

Word Problems and Table Building

##### Unit 2: Slope

Using the Graph of a Line to Find Slope

Using Coordinates to Find Slope

##### Unit 3: Slope-Intercept Form

Using Slope-Intercept Form to Graph a Line

Converting to Slope-Intercept Form and Graphing

##### Unit 4: Interpreting Graphs

Linear Parent Graph and Transformations

##### Unit 5: Writing Equations of Lines in Slope-Intercept Form

Using Graphs and Slope-Intercept Form

Using Tables and Slope-Intercept Form

##### Unit 6: Equations of Lines: Point-Slope & Standard Form

##### Unit 7: Applications and Direct Variation

Applications of Direct Variation and Linear Functions

#### CHAPTER 13: SYSTEMS OF LINEAR EQUATIONS IN TWO VARIABLES

##### Unit 1: Solving Systems of Equations

##### Unit 2: Applications of Systems of Equations

#### CHAPTER 14: EXPONENTS AND POLYNOMIALS

##### Unit 1: Exponent Rules

##### Unit 2: Combining Exponent Rules

Numerical Bases and Exponents of Zero

##### Unit 3: Multiplying Polynomials

#### CHAPTER 15: FACTORING POLYNOMIALS

##### Unit 1: Greatest Common Factor

##### Unit 2: Factoring Special Polynomials

Special Trinomials with Positive Constant

Special Trinomials with Negative Constant

##### Unit 3: Advanced Trinomial Factoring

Coefficient on x^{2} Term, Positive Constant

Coefficient on x^{2} Term, Negative Constant

##### Unit 4: Factoring by Grouping and Factoring Completely

Factoring Out G.C.F. as First Step

##### Unit 5: Solving Polynomial Equations

#### CHAPTER 16: RATIONAL EXPRESSIONS AND EQUATIONS

##### Unit 1: Beginning Rational Expressions

Simplifying Rational Expressions

Multiplying and Dividing Rational Expressions

##### Unit 2: Advanced Rational Expressions

Subtracting Rational Expressions

##### Unit 3: Complex Fractions

##### Unit 4: Rational Equations

##### Unit 5: Inverse Variation

#### CHAPTER 17: RADICAL EXPRESSIONS AND EQUATIONS

##### Unit 1: Simplifying Square Roots

Adding and Subtracting Square Roots

##### Unit 2: Beginning Radical Expressions

##### Unit 3: Advanced Radical Expressions

##### Unit 4: Radical Equations

#### CHAPTER 18: QUADRATIC EQUATIONS AND FUNCTIONS

##### Unit 1: Introduction to Quadratics & Beginning Graphs

Graphs of Quadratic Functions and Beginning Transformations

Graphs of Quadratic Functions and Advanced Transformations

Solving Quadratic Equations by Graphing

##### Unit 2: Completing the Square

Beginning Completing The Square

Advanced Completing The Square

##### Unit 3: The Quadratic Formula

##### Unit 4: Imaginary and Complex Numbers

##### Unit 5: Graphing Quadratic Functions

Understanding y - k = a(x - h)^{2} Form

Graphing Quadratic Equations in y - k = a(x - h)^{2} Form

#### CHAPTER 19: INTRODUCTION TO GEOMETRY

##### Unit 1: Basic Figures

Points, Lines, Planes, and Space

Segment Addition Postulate and Midpoint

Angle Addition Postulate and Angle Bisector

##### Unit 2: Reasoning

Inductive vs. Deductive Reasoning

##### Unit 3: Beginning Proofs

Algebra Proofs with Properties

Geometry Proofs with Midpoints and Angle Bisectors

#### CHAPTER 20: PARALLEL & PERPENDICULAR LINES, ANGLES, AND POLYGONS

##### Unit 1: Angle Pairs

Complementary and Supplementary Angles (Part 1)

Complementary and Supplementary Angles (Part 2)

##### Unit 2: Perpendicular Lines

Problems Involving Perpendicular Lines

Theorems Involving Perpendicular Lines

##### Unit 3: Parallel Lines

##### Unit 4: Angles and Triangles

Vocabulary and Triangle Sum Theorem

Word Problems and Exterior Angle Theorem

##### Unit 5: Polygons and Angles

Sum of Interior and Exterior Angles

#### CHAPTER 21: CONGRUENCE AND TRIANGLES

##### Unit 1: Beginning Concepts

Proving Triangles are Congruent by SSS, SAS, and ASA

##### Unit 2: Advanced Concepts

Proving Triangles are Congruent by AAS and HL

Medians, Altitudes, and Perpendicular Bisectors

#### CHAPTER 22: QUADRILATERALS

##### Unit 1: Properties of Parallelograms

Proving a Quadrilateral is a Parallelogram

##### Unit 2: Special Parallelograms and Trapezoids

Rectangles, Rhombuses, and Squares

#### CHAPTER 23: SIMILARITY

##### Unit 1: Ratio and Proportion

##### Unit 2: Similar Figures

Properties of Similar Polygons

Angle-Angle Similarity Postulate

##### Unit 3: Theorems

SSS and SAS Similarity Theorems

Triangle Proportionality and Triangle Angle-Bisector Theorems

#### CHAPTER 24: RIGHT TRIANGLES

##### Unit 1: The Pythagorean Theorem

Converse of the Pythagorean Theorem

##### Unit 2: Special Right Triangles

30-60-90 and 45-45-90 degree Triangles (Part I)

30-60-90 and 45-45-90 degree Triangles (Part II)

##### Unit 3: Right Triangle Trigonometry

Sine, Cosine, and Tangent (Part I)

Sine, Cosine, and Tangent (Part II)

#### CHAPTER 25: CIRCLES

##### Unit 1: Vocabulary and Tangents

##### Unit 2: Arcs, Central Angles, and Chords

##### Unit 3: Angles and Segments

Angles Formed by Chords, Secants, and Tangents

##### Unit 4: Segment Lengths

Theorems and Beginning Problems

#### CHAPTER 26: AREA, VOLUME, AND SURFACE AREA

##### Unit 1: Area of Rectangles, Squares, and Parallelograms

Area of Rectangles and Squares (Part I)

Area of Rectangles and Squares (Part II)

##### Unit 2: Area of Triangles, Rhombuses, and Trapezoids

##### Unit 3: Area of Regular Polygons and Circles

Area and Circumference of Circles

##### Unit 4: Volume and Surface Area: Prisms

Vocabulary, Formulas, and Right Rectangular Prisms

##### Unit 5: Volume and Surface Area: Pyramids

Vocabulary, Formulas, and Regular Square Pyramids

##### Unit 6: Volume and Surface Area: Cylinders, Cones, & Sphere

#### CHAPTER 27: DATA AND STATISTICS

##### Unit 1: Common Graphs and Charts

##### Unit 2: Representing Data

Stem-and-Leaf Plots and Frequency Tables

##### Unit 3: Measures of Central Tendency

##### Unit 4: Probability

Probability of Independent Events

Probability of Dependent Events