Pearson Maths A level Pure 2

Pearson Secondary Maths, Latymer, 2018年11月13日

A set of activities designed to be used in conjunction with exercises from Edexcel A level Mathematics: Pure Mathematics Year 2

目錄

  1. Algebraic methods
  2. Functions and graphs
    1. 2.1 The modulus function: page 24, Example 3
    2. 2.1 Intersections of straight lines and modulus graphs: page 25, Example 5
    3. 2.2 Graphs of functions on a given domain: page 29, example 9
    4. 2.4 Inverse functions: page 37, example 16
    5. 2.5 y = |f(x)| and y = f(|x|): page 40, example 17
    6. 2.6 Combining transformations: page 46, example 21
    7. 2.7 Solving modulus problems: page 51, example 23
  3. Sequences and series
  4. Binomial expansion
    1. 4.1 Finding a binomial expansion: page 93, Example 2
  5. Radians
    1. 5.2 Arc length: page 119, Example 7
    2. 5.2 Arc length: page 120, Example 10
    3. 5.3 Areas sectors and segments: page 123, Example 13
    4. 5.5 Small angle approximations: page 133
  6. Trigonometric functions
    1. 6.2 Reciprocal trigonometric functions: page 147, Example 5
  7. Trigonometry and modelling
    1. 7.1 Proving addition formulae using a geometric construction: page 168, Example 1
    2. 7.5 Transforming trigonometric graphs: page 182, Example 14
    3. 7.5 Maximums and minimums of trigonometric curves: page 184, Example 17
    4. 7.7 Modelling with trigonometric functions: page 189, example 21
  8. Parametric equations
    1. 8.1 Parametric curves: page 199, Example 2
    2. 8.2 Graphing parametric equations using trigonometric identities: page 203, Example 4
    3. 8.2 Graphing parametric equations using trigonometric identities: page 204, Example 5
    4. 8.3 Graphing parametric equations: page 207, Example 7
    5. 8.4 Parametric equations with a variable coefficient: page 209, Example 8
    6. 8.5 Modelling with parametric equations: page 217, Example 13
  9. Differentiation
    1. 9.1 The relationship between sin and cos and their derivatives: page 232, Example 1
    2. 9.2 Differentiating exponentials and logarithms: page 235, Example 4
    3. 9.5 The quotient rule: page 243, Example 13
    4. 9.7 Parametric differentiation: page 250, Example 20
    5. 9.9 Using second derivatives: page 259, Example 26
  10. Numerical methods
    1. 10.1 Locating roots: page 276, example 3
    2. 10.2 Iteration: page 280, example 5
    3. 10.3 The Newton-Raphson method: page 284, example 6
  11. Integration
    1. 11.8 Finding areas: page 313 Example 22
    2. 11.8 Finding areas: page 314, example 23
    3. 11.9 The trapezium rule: page 319, example 25
    4. 11.10 Solving differential equations: page 323
    5. 11.11 Modelling with differential equations: page 326, example 28
  12. Vectors
    1. 12.1 3D coordinates: page 339, example 3
    2. 12.2 Vectors in 3D: page 342, example 8
    3. 12.3 Solving geometric problems: page 345, example 9

1.

Algebraic methods


    本章節尚無任何資源。

2.

Functions and graphs

  • 1. 2.1 The modulus function: page 24, Example 3
  • 2. 2.1 Intersections of straight lines and modulus graphs: page 25, Example 5
  • 3. 2.2 Graphs of functions on a given domain: page 29, example 9
  • 4. 2.4 Inverse functions: page 37, example 16
  • 5. 2.5 y = |f(x)| and y = f(|x|): page 40, example 17
  • 6. 2.6 Combining transformations: page 46, example 21
  • 7. 2.7 Solving modulus problems: page 51, example 23

2.1.

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2.3.

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2.5.

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3.

Sequences and series


    本章節尚無任何資源。

4.

Binomial expansion

  • 1. 4.1 Finding a binomial expansion: page 93, Example 2

4.1.

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5.

Radians

  • 1. 5.2 Arc length: page 119, Example 7
  • 2. 5.2 Arc length: page 120, Example 10
  • 3. 5.3 Areas sectors and segments: page 123, Example 13
  • 4. 5.5 Small angle approximations: page 133

5.1.

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5.2.

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5.3.

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5.4.

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6.

Trigonometric functions

  • 1. 6.2 Reciprocal trigonometric functions: page 147, Example 5

6.1.

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7.

Trigonometry and modelling

  • 1. 7.1 Proving addition formulae using a geometric construction: page 168, Example 1
  • 2. 7.5 Transforming trigonometric graphs: page 182, Example 14
  • 3. 7.5 Maximums and minimums of trigonometric curves: page 184, Example 17
  • 4. 7.7 Modelling with trigonometric functions: page 189, example 21

7.1.

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7.2.

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7.3.

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7.4.

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8.

Parametric equations

  • 1. 8.1 Parametric curves: page 199, Example 2
  • 2. 8.2 Graphing parametric equations using trigonometric identities: page 203, Example 4
  • 3. 8.2 Graphing parametric equations using trigonometric identities: page 204, Example 5
  • 4. 8.3 Graphing parametric equations: page 207, Example 7
  • 5. 8.4 Parametric equations with a variable coefficient: page 209, Example 8
  • 6. 8.5 Modelling with parametric equations: page 217, Example 13

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9.

Differentiation

  • 1. 9.1 The relationship between sin and cos and their derivatives: page 232, Example 1
  • 2. 9.2 Differentiating exponentials and logarithms: page 235, Example 4
  • 3. 9.5 The quotient rule: page 243, Example 13
  • 4. 9.7 Parametric differentiation: page 250, Example 20
  • 5. 9.9 Using second derivatives: page 259, Example 26

9.1.

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9.2.

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9.3.

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9.4.

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9.5.

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10.

Numerical methods

  • 1. 10.1 Locating roots: page 276, example 3
  • 2. 10.2 Iteration: page 280, example 5
  • 3. 10.3 The Newton-Raphson method: page 284, example 6

10.1.

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10.2.

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10.3.

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11.

Integration

  • 1. 11.8 Finding areas: page 313 Example 22
  • 2. 11.8 Finding areas: page 314, example 23
  • 3. 11.9 The trapezium rule: page 319, example 25
  • 4. 11.10 Solving differential equations: page 323
  • 5. 11.11 Modelling with differential equations: page 326, example 28

11.1.

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11.2.

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11.3.

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11.4.

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11.5.

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12.

Vectors

  • 1. 12.1 3D coordinates: page 339, example 3
  • 2. 12.2 Vectors in 3D: page 342, example 8
  • 3. 12.3 Solving geometric problems: page 345, example 9

12.1.

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12.2.

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12.3.

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資訊