Grade 11 Core Maths

Exponents and Surds 24 Topics

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1.1) Rational Exponents – Definitions and Laws

1.2) Rational Exponents – Example 1

1.3) Rational Exponents – Example 2

1.4) Rational Exponents – Example 3

1.5) Rational Exponents – Example 4

1.6) Simplifying Expressions Involving Exponents – Explanation

1.7) Simplifying Expressions Involving Exponents – Example 1

1.8) Simplifying Expressions Involving Exponents – Example 2

1.9) Simplifying Expressions Involving Exponents – Example 3

1.10) Simplifying Expressions Involving Exponents – Example 4

1.11) Equations with Rational Exponents – Explanation

1.12) Equations with Rational Exponents – Example 1

1.13) Equations with Rational Exponents – Example 2

1.14) Equations with Rational Exponents – Example 3

1.15) Equations with Rational Exponents – Example 4

1.16) Exponential Equations involving Quadratic Equations – Example 1

1.17) Exponential Equations involving Quadratic Equations – example 2

1.18) Simplifying Surds – Explanation

1.19) Simplifying Surds – Example 1

1.20) Simplifying Surds – Example 2

1.21) Simplifying Surds – Example 3

1.22) Simplifying Surds – Example 4

1.23) Simplifying by Rationalising the Denominator – Explanation

1.24) Simplifying by Rationalising the Denominator – Examples

Equations and Inequalities 34 Topics

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2.1) Solving Quadratic Equations using Factorising – Example 1

2.2) Solving Quadratic Equations using Factorising – Example 2

2.3) Solving Quadratic Equations using Factorising – Example 3

2.4) Quadratic Equations Involving Fractions – Example 1

2.5) Quadratic Equations Involving Fractions – Example 2

2.6) Quadratic Equations Involving Fractions – Example 3

2.7) Quadratic Equations Involving Fractions – Example 4

2.8) Solving Equations by Substitution – The “k” Method Explanation

2.9) Solving Equations by Substitution – The “k” Method Example 1

2.10) Solving Equations by Substitution – The “k” Method Example 2

2.11) Completing the Square – Explanation

2.12) Completing the Square – Example 1

2.13) Completing the Square – Example 2

2.14) The Quadratic Formula – Explanation

2.15) The Quadratic Formula – Example 1

2.16) The Quadratic Formula – Example 2

2.17) The Quadratic Formula – Example 3

2.18) Nature of Roots – Explanation

2.19) Nature of Roots – Example 1

2.20) Nature of Roots – Example 2

2.21) Nature of Roots – Example 3

2.22) Simultaneous Equations – Explanation

2.23) Simultaneous Equations – Example 1

2.24) Simultaneous Equations – Example 2

2.25) Word Problems – Example 1

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Number Patterns 6 Topics

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3.1) General Terms of Quadratic Sequences – Explanation

3.2) General Terms of Quadratic Sequences – Example 1

3.3) General Terms of Quadratic Sequences – Example 2

3.4) General Terms of Quadratic Sequences – Example 3

3.5) General Terms of Quadratic Sequences – Example 4

3.6) General Terms of Quadratic Sequences – Example 5

Analytical Geometry 16 Topics

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4.1) Collinear Points – Explanation

4.2) Collinear Points – Example 1

4.3) Collinear Points – Example 2

4.4) Equation of a Straight Line Through Two Points – Explanation

4.5) Equation of a Straight Line Through Two Points – Example 1

4.6) Equation of a Straight Line Through Two Points – Example 2

4.7) Parallel and Perpendicular Lines – Explanation

4.8) Parallel and Perpendicular Lines – Example 1

4.9) Parallel and Perpendicular Lines – Example 2

4.10) The Angle of Inclination of a Line – Explanation

4.11) The Angle of Inclination of a Line – Example 1

4.12) The Angle of Inclination of a Line – Example 2

4.13) The Angle of Inclination of a Line – Example 3

4.14) Analytical Geometry – Mixed Example 1

4.15) Analytical Geometry – Mixed Example 2

4.16) Analytical Geometry – Mixed Example 3

Functions 27 Topics

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5.1.1) The Parabola -Explanation

5.1.2) The Parabola – y = a(x – p)^2 +q

5.1) Sketching a Parabola – Explanation

5.2) Sketching a Parabola – Example 1

5.3) Sketching a Parabola – Example 2

5.4) Sketching a Parabola – Example 3

5.5) Finding Equation of Parabola given 2 x-intercepts – Explanation

5.6) Finding the Equation of a Parabola – Example 1

5.7) Finding the Equation of a Parabola – Example 2

5.8) Finding Equation of Parabola Given Turning Points – Explanation

5.9) Finding Equation of Parabola – Example 1

5.10) Finding Equation of a Parabola – Example 2

5.11) Sketching a Hyperbola – Explanation

5.12) Sketching a Hyperbola – Example 1

5.13) Finding the Equation of a Hyperbola – Explanation

5.14) Finding the Equation of a Hyperbola – Example 1

5.15) Sketching an Exponential Function – Explanation

5.16) Sketching the Exponential Function – Example 1

5.17) Sketching the Exponential Function – Example 2

5.18) Finding the Equation of an Exponential Function – Example 1

5.19) Finding the Equation of an Exponential Function – Example 2

5.20) Function Mixed Example 1

5.21) Function Mixed Example 2

5.22) Functions Mixed Examples 3

5.23) Functions Mixed Example 4

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Trigonometry 60 Topics

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6.1) Revision of Trig Ratios and the CAST Diagram

6.2) CAST Diagram – Example 1

6.3) CAST Diagram – Example 2

6.4) CAST Diagram – Example 3

6.5) CAST Diagram – Example 4

6.6) Special Angles – Explanation

6.7) Reduction Formulae – Explanation

6.8) Reduction Formulae – Example 1

6.9) Reduction Formulae – Example 2

6.10) Reduction Formulae – Example 3

6.11) Reduction Formulae – Example 4

6.12) Reduction Formulae – Example 5

6.13) Negative Angles – Explanation

6.14) Negative Angles – Example 1

6.15) Negative Angles – Example 2

6.16) Negative Angles – Example 3

6.17) Negative Angles – Example 4

6.18) Reduction Formula for 90-x; 90+x and x-90 – Explanation

6.19) Mixed Reduction formulae – Example 1

6.20) Mixed Reduction formulae – Example 2

6.21) Mixed Reduction formulae – Example 3

6.22) Mixed Reduction formulae – Example 4

6.23) Trigonometric Identities – Explanation

6.24) Proving Identities – Example 1

6.25) Proving Identities – Example 2

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Length, Area and Volume 8 Topics

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7.1) Volume Formulae for Right Prisms

7.2) Surface Area Formulae for Right Prisms

7.3) Volume and Surface Area of Cylinders

7.4) Volume and Surface Area of Cones

7.5) Volume and Surface Area of Pyramids

7.6) Volume and Surface Area of Spheres

7.7) Volume and Surface Area of Hemispheres

7.8) Multiplying by a Scale Factor of k.

Circle Geometry 27 Topics

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8.1) Parts of a Circle

8.2) Theorem 1 – Explanation

8.3) Theorem 1 examples

8.4) Theorem 2 – Explanation

8.5) Theorem 2 Examples

8.6) Theorem 3 – Explanation

8.7) Theorem 3 Examples

8.8) Theorem 4 – Explanation

8.9 Theorem 4 – Examples

8.10) Theorem 5 – Explanation

8.11) Theorem 5 – Examples

8.12) Theorem 6 – Explanation

8.13) Theorem 6 – Examples

8.14) Theorem 7 – Explanation

8.15) Theorem 8 – Explanation

8.16) Theorem 8 – Examples

8.17) Theorem 9 – Explanation

8.18) Theorem 9 – Examples

8.19) Circle Geometry Theorem Converses – Explanation

8.20) Circle Geometry – Example 1

8.21) Circle Geometry – Example 2

8.22) Circle Geometry – Example 3

8.23) Circle Geometry – Example 4

8.24) Circle Geometry – Example 5

8.25) Circle Geometry – Example 6

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Financial Mathematics 19 Topics

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9.1) Simple Interest & Hire Purchase

9.2) Compound Interest

9.3) Differing Compounding Periods – Explanation

9.4) Differing Compounding Periods – Example 1

9.5) Differing Compounding Periods – Example 2

9.6) Differing Compounding Periods – Example 3

9.7) Differing Compounding Periods – Example 4

9.8) Nominal to Effective Interest Rates – Explanation

9.9) Nominal to Effective Interest Rates – Example

9.10) Nominal to Effective Interest Rates – Example 2

9.11) Nominal to Effective Interest Rates – Example 3

9.12) Nominal to Effective Interest Rates – Examle 4

9.13) Timelines – Explanation

9.14) Timelines – Example 1

9.15) Timelines – Example 2

9.16) Timelines – Example 3

9.17) Timelines – Example 4

9.18) Straight-Line Depreciation

9.19) Reducing-Balance Depreciation

Probability 15 Topics

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10.1) Tree Diagrams – Example 1

10.2) Tree Diagrams – Example 2

10.3) Tree Diagrams – Example 3

10.4) Tree Diagrams – Example 4

10.5) Tree Diagrams – Example 5

10.6) Venn Diagrams – Example 1

10.7) Venn Diagrams – Example 2

10.8) Venn Diagrams – Example 3

10.9) Venn Diagrams – Example 4

10.10) Venn Diagrams – Example 5

10.11) Two-way Contingency Table – Example 1

10.12) Two-way Contingency Table – Example 2

10.13) Two-way Contingency Table – Example 3

10.14) Mutually Exclusive & Independent Events – Example 1

10.15) Mutually Exclusive & Independent Events – Example 2

Statistics 19 Topics

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11.1 The Process of Data Handling – Introduction

11.2 Frequency Tables, Bar Graphs and Histograms

11.3 Frequency Polygons

11.4 Measures of Central Tendency – Mean

11.5 Measures of Central Tendency – Median and Mode

11.6 Measures of Dispersion – Explanation

11.7 Measures of Dispersion – Example 1

11.8 Measures of Dispersion – Example 2

11.9 5 Number Summary & Box-and-Whisker Diagrams – Explanation

11.10 Box-and-Whisker Diagrams – Example 1

11.11 Box-and-Whisker Diagrams – Example 2

11.12 Box-and-Whisker Diagrams – Example 3

11.13 Skewed and Symmetrical Data – Explanation

11.14 Comparing Histograms and Box-and-Whisker Plots

11.15 Cumulative Frequency Graphs (Ogives) – Explanation

11.16 Cumulative Frequency Graphs (Ogives) – Example 1

11.17 Cumulative Frequency Graphs (Ogives) – Example 2

11.18 Variance and Standard Deviation – Explanation

11.19) Outliers – Explanation

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