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Secondary 2 — Maths, National: syllabus

The lessons in book order, one card per unit. Open any lesson that has an episode if you have access; locked lessons are greyed out.

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Term 1

Pure maths — Unit 1: Real functions and drawing curves

5 lessonsno episodes yet
  1. Real functions

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  2. Some properties of functions

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  3. Monotonicity of functions

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  4. Graphing functions and geometric transformations

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  5. Solving absolute-value equations and inequalities

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Pure maths — Unit 2: Exponents, logarithms and their applications

6 lessonsno episodes yet
  1. Rational exponents

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  2. The exponential function and its applications

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  3. Exponential equations

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  4. The inverse function

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  5. The logarithmic function and its graph

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  6. Some properties of logarithms

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Pure maths — Unit 3: Limits and continuity

6 lessonsno episodes yet
  1. Introduction to limits

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  2. Finding the limit of a function algebraically

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  3. Limit of a function at infinity

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  4. Limits of trigonometric functions

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  5. Investigating the existence of a limit at a point

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  6. Continuity

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Pure maths — Unit 4: Trigonometry

2 lessonsno episodes yet
  1. The sine rule

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  2. The cosine rule

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Applications of maths — Unit 1: Statics

6 lessonsno episodes yet
  1. Forces

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  2. Resolution of forces

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  3. Resultant of several coplanar forces meeting at a point

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  4. Equilibrium of a rigid body under coplanar forces meeting at a point

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  5. Equilibrium of a body on a rough horizontal plane

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  6. Equilibrium of a body on a rough inclined plane

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Applications of maths — Unit 2: Geometry and measurement

5 lessonsno episodes yet
  1. Lines and planes in space

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  2. The pyramid and the cone

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  3. Total surface area of the pyramid and the cone

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  4. Volume of the right pyramid and cone

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  5. Equation of the circle

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Term 2

Pure maths — Unit 1: Sequences and series

6 lessonsno episodes yet
  1. Sequences

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  2. Series and summation notation

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  3. Arithmetic sequences

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  4. Arithmetic series

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  5. Geometric sequences

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  6. Geometric series

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Pure maths — Unit 2: Permutations and combinations

3 lessonsno episodes yet
  1. The counting principle

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  2. Factorial – permutations

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  3. Combinations

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Pure maths — Unit 3: Differentiation and integration

6 lessonsno episodes yet
  1. Rate of change

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  2. Differentiation

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  3. Rules of differentiation

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  4. Derivatives of trigonometric functions

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  5. Applications of the derivative

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  6. Integration

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Pure maths — Unit 4: Trigonometry

3 lessonsno episodes yet
  1. Angles of elevation and depression (applications of solving triangles)

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  2. Trigonometric functions of the sum and difference of two angles

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  3. Trigonometric functions of the double angle

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Applications of maths (Dynamics) — Unit 1: Rectilinear motion

3 lessonsno episodes yet
  1. Rectilinear motion

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  2. Rectilinear motion with uniform acceleration

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  3. Free fall

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Applications of maths (Dynamics) — Unit 2: Newton's laws of motion

4 lessonsno episodes yet
  1. Momentum

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  2. Newton's first law

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  3. Newton's second law

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  4. Newton's third law and applications of Newton's laws

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