top of page

Year 11 Mathematics Extension 1

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  

• 5 Indices

• 6 Scientific Notation

• 7 Significant Figures

• 8 Basic Surds

• 9 Absolute Values

Algebra Instruction
Algebra Examples

   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)

 

• 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

• 8 Surds

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

 

•  Equations Study Summary

• 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

• 9 Polygons

• 10 Areas

• 11 Volume

 

• 1 Relations and Functions

• 2 Function Notation

• 3 Graphs

• 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

• 12 Limits

• 13 Discontinuity

• 14 Regions

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

Straight-Line Graphs
Introduction to Calculus

 

• 1 Trigonometric Ratios

• 2 Rounding Angles

• 3 Right-Angled Triangle Problems

• 4 Bearings

• 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

 

• 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

 

•  Straight-Line Graphs Study Summary

• Differentiation

 

 

Parametrics (with Eddie Woo)

• 1 Introduction to Parametrics 1

• 2 Introduction to Parametrics 2

• 3 Introduction to Parametrics 3

• 4 Parametric Representation of the Parabola

• 5 Parametric Equation of the Chord 1

• 6 Parametric Equation of the Chord 2

• 7 Parametrics and Parabolas: Summary of Formulas

​

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

Chapter 5 Further Graphs (featuring Paige Kranz)
 
  Exercise 5A
​

• Year 11 Maths Extension 1 Ex 5A Introduction Part 1 Solving Basic Inequalities

• Year 11 Maths Extension 1 Ex 5A Introduction Part 2 Solving Quadratic Inequalities

• Year 11 Maths Extension 1 Ex 5A Introduction Part 3 Solving Absolute Value Inequalities

• Year 11 Maths Extension 1 Ex 5A Intro Part 4 Solving Absolute Value Inequalities Algebraically

• Year 11 Maths Extension 1 Ex 5A Introduction Part 5 Solving with a variable in the denominator

• Year 11 Maths Extension 1 Ex 5A Question 1

• Year 11 Maths Extension 1 Ex 5A Question 2

• Year 11 Maths Extension 1 Ex 5A Question 3

• Year 11 Maths Extension 1 Ex 5A Question 4

• Year 11 Maths Extension 1 Ex 5A Question 5

• Year 11 Maths Extension 1 Ex 5A Question 6ab

• Year 11 Maths Extension 1 Ex 5A Question 7ace

• Year 11 Maths Extension 1 Ex 5A Question 8

• Year 11 Maths Extension 1 Ex 5A Question 9ace

• Year 11 Maths Extension 1 Ex 5A Question 10

• Year 11 Maths Extension 1 Ex 5A Question 11

• Year 11 Maths Extension 1 Ex 5A Question 12def

• Year 11 Maths Extension 1 Ex 5A Question 14

• Year 11 Maths Extension 1 Ex 5A Question 15

• Year 11 Maths Extension 1 Ex 5A Question 18
 

​

  Exercise 5B

​

• Year 11 Maths Extension 1 Ex 5B Introduction

• Year 11 Maths Extension 1 Ex 5B Question 3

• Year 11 Maths Extension 1 Ex 5B Questions 4 and 5

• Year 11 Maths Extension 1 Ex 5B Questions 6 and 7

• Year 11 Maths Extension 1 Ex 5B Question 8

• Year 11 Maths Extension 1 Ex 5B Question 9

​

​

  Exercise 5C

​

• Year 11 Maths Extension 1 Ex 5C Question 1

• Year 11 Maths Extension 1 Ex 5C Question 3

• Year 11 Maths Extension 1 Ex 5C Question 4

• Year 11 Maths Extension 1 Ex 5C Question 5

• Year 11 Maths Extension 1 Ex 5C Question 7

• Year 11 Maths Extension 1 Ex 5C Question 9

• Year 11 Maths Extension 1 Ex 5C Question 12

• Year 11 Maths Extension 1 Ex 5C Question 13

• Year 11 Maths Extension 1 Ex 5C Question 16

​

​

  Exercise 5D

​

• Year 11 Maths Extension Ex 5D Intro

• Year 11 Maths Extension Ex 5D Question 1

• Year 11 Maths Extension Ex 5D Question 2

• Year 11 Maths Extension Ex 5D Question 3

• Year 11 Maths Extension Ex 5D Question 6

• Year 11 Maths Extension Ex 5D Question 7

• Year 11 Maths Extension Ex 5D Questions 9-11

• Year 11 Maths Extension Ex 5D Question 12

• Year 11 Maths Extension Ex 5D Questions 14ab and 15ab

• Year 11 Maths Extension Ex 5D Question 18
 

​

  Exercise 5E

​

• Year 11 Maths Extension Ex 5E Intro to Graphing Abs Value of Function

• Year 11 Maths Extension Ex 5E Question 1, 2

• Year 11 Maths Ex 5E Question 3

• Year 11 Maths Extension Ex 5E Question 4

• Year 11 Maths Extension Ex 5E Question 5

• Year 11 Maths Extension Ex 5E Question 7

• Year 11 Maths Extension Ex 5E Question 8

• Year 11 Maths Extension Ex 5E Question 9

• Year 11 Maths Extension Ex 5E Question 10

• Year 11 Maths Extension Ex 5E Question 11

• Year 11 Maths Extension Ex 5E Question 13

 


  Exercise 5F

​

• Year 11 Maths Extension Ex 5F Introduction

• Year 11 Maths Extension Ex 5F Questions 1-3

• Year 11 Maths Extension Ex 5F Questions 4, 5

• Year 11 Maths Extension Ex 5F Questions 6 and 7

• Year 11 Maths Extension Ex 5F Question 8

• Year 11 Maths Extension Ex 5F Question 9

• Year 11 Maths Extension Ex 5F Questions 10 and 11

• Year 11 Maths Extension Ex 5F Questions 15, 16

​

​

  Exercise 5G

​

• Year 11 Maths Extension Ex 5G Question 2

• Year 11 Maths Extension Ex 5G Question 3

• Year 11 Maths Extension Ex 5G Question 4

• Year 11 Maths Extension Ex 5G Question 6

• Year 11 Maths Extension Ex 5G Question 7

• Year 11 Maths Extension Ex 5G Question 9

​

 

  Exercise 5H

​

• Year 11 Maths Extension Ex 5H Questions 1, 2

• Year 11 Maths Extension Ex 5H Question 6

• Year 11 Maths Extension Ex 5H Question 7

• Year 11 Maths Extension Ex 5H Question 8

• Year 11 Maths Extension Ex 5H Question 10bc

• Year 11 Maths Extension Ex 5H Question 12

​

​

bottom of page