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Peter Blake Maths

Get all the skills you need to succeed!

Year 11 Mathematics

Basic Arithmetic Instruction

Basic Arithmetic Examples

• 1 Rounding Off

• 2 Conversion of Fractions, Decimals and Percentages

• 3 Operations with Fractions, Decimals and Percentages

• 4 Powers and Roots

• 6 Scientific Notation

• 7 Significant Figures

• 8 Basic Surds

• 9 Absolute Values

Index Laws

• 1 Index Notation

• 2 Multiplying Indices

• 3 Dividing Indices

• 4 Power Indices

• 5 Scientific Notation

• 6 Significant Figures

Percentages

• 1 Percentages to Decimals

• 2 Percentages to Fractions

• 3 Percentage of a Quantity

• 4 Using Percentages to Compare

Surds

• 1 Simplifying Surds 1 (Featuring Mrs Slaughter)

• 2 Simplifying Surds 2 (Featuring Mrs Slaughter)

• 3 Multiplying Surds (Featuring Mrs Slaughter)

• 4 Dividing Surds (Featuring Mrs Slaughter)

• 5 Adding and Subtracting Surds (Featuring Mrs Slaughter)

• 6 Expanding with Surds (Featuring Mrs Slaughter)

Algebra Instruction

Algebra Examples

• 1 Algebra Terms

• 2 Adding & Subtracting Algebra Terms

• 3 Multiplying Algebra Terms

• 4 Dividing Algebra Terms

• 5 Algebra Using Substitution

• 6 Expanding Algebra Expressions

• 7 Expanding Binomial Products

• 8 Perfect Squares

• 9 Difference of Two Squares

• 10 Factorising Algebraic Expressions: Common Brackets

• 11 Factorising the Difference of Two Squares

• 12 Factorising by Grouping in Pairs

• 13 Factorising Monic Quadratic Trinomials

• 14 Factorising Non-Monic Quadratic Trinomials

• 15 Simplifying Algebraic Fractions: Multiplying & Dividing

• 16 Simplifying Algebraic Fractions: Adding & Subtracting

• 17 Equations With Algebraic Fractions

• 1 Simplifying Expressions

• 2 Binomial Products

• 3 Factorisation 1

• 4 Factorisation 2

• 5 Completing the Square

• 6 Algebraic Fractions

• 7 Substitution

Equations Instruction

Equations Examples

• 1 One Step Equations

• 2 Two Step Equations

• 3 Special Equation Variations

• 4 Equations With Letters on Both Sides

• 5 Fraction Equations

• 6 Checking Equation Solutions

• 7 Simultaneous Equations

• 8 Solving Inequations

• 9 Direct Variation

• 10 Inverse Variation

• 1 Simple Equations

• 2 Inequations

• 3 Absolute Value Equations

• 4 Quadratic Equations

• 5 Simultaneous Equations

Geometry Examples

Functions & Graphs Examples

• 1 Angle Facts

• 2 Parallel Lines

• 3 Types of Triangles

• 4 Congruent Triangles

• 5 Similar Triangles

• 6 Ratio of Intercepts

• 7 Pythagoras' Theorem

• 8 Quadrilaterals

• 1 Relations and Functions

• 2 Function Notation

• 4 Domain and Range

• 5 Straight-Line Graphs

• 6 The Parabola

• 7 The Hyperbola

• 8 The Circle

• 9 The Exponential Function

• 10 The Cubic

• 11 Absolute Value Graphs

• 13 Discontinuity

Trigonometry Instruction

Trigonometry Examples

• 1 Naming Sides

• 2 Trigonometry Ratios

• 3 Finding Sides

• 4 Finding Angles

• 5 Angles of Elevation & Depression

• 6 Using Trigonometry to Solve Problems

• 7 Bearings Basics

• 8 Solving Bearings Problems

• 9 Sine Rule For Sides

• 10 Sine Rule For Angles

• 11 Cosine Rule For Sides

• 12 Cosine Rule For Angles

• 13 Area of Non Right-Angled Triangles

• 1 Trigonometric Ratios

• 2 Rounding Angles

• 3 Right-Angled Triangle Problems

• 5 Exact Ratios

• 6 Angles of Any Magnitude

• 7 Special Angles

• 8 Trigonometric Identities

• 9 Sine and Cosine Rules

• 10 Area of Non Right-Angled Triangles

Straight-Line Graphs

Introduction to Calculus

• 1 Distance Between Two Points

• 2 Midpoint Between Two Points

• 3 Gradient of a Line Between Two Points

• 4 The Number Plane

• 5 Graphing Lines

• 6 Introducing y=mx+b

• 7 Sketching Lines Using y=mx+b

• 8 Sketching Lines Using X & Y Intercepts

• 9 Sketching Lines From Other Equations

• 10 Horizontal & Vertical Lines

• 11 A Point Lies on a Line

• 12 Parallel Lines

• 13 Points of Intersection

• 14 Finding Equations From Intercepts

• 15 Finding Point-Gradient Equations

• 16 Finding Equations From Sketches

• 17 Finding Equations From Tables of Values

• Differentiation (Nancy Pi)

• Further Quotient Rule Variations (Nancy Pi)

• Chain Rule (Nancy Pi)

• Equation of a Tangent (Nancy Pi)

Preliminary Mathematics Review - Check Your Understanding

Review Questions

• 1 Basic Arithmetic Review

• 2 Algebra & Surds Review

• 3 Equations Review

• 4 Geometry Review

• 5 Functions & Graphs Review

• 6 Trigonometry Review

Time Management

Time Management

• Time Management Video

• Excel Study Planner

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