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This course covers the learning outcomes for the Pure 1 component of 2023–2027, 9709 AS/AL Mathematics syllabus.
SECTIONS:
- Quadratics
Course Content
0 Starting Information
0.1 About
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1 Quadratics
1.1 Completing the square
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1.2 Solving quadratic equations
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1.3 Quadratics in some function of 𝑥
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1.4 Solving simultaneous equations
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1.5 The discriminant
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2 Functions
2.1 Definition of a function
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2.2 Domain, Range, & Composite Functions
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2.3 Many-one, One-one, & Inverse Functions
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2.4 Function Transformations
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3 Coordinate Geometry
3.1 Straight lines: Gradients, Intercepts, Equation Forming, Perpendiculars, Distances, and Mid- & Intersection points
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3.2 The Circle Equation
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3.3 Algebra of Lines, Circles & Circle geometric properties
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4 Circular Measure
4.1 Radian Definition, and Relationship between Radians & Degrees
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4.2 Arc lengths, Sector Areas, and Lengths, Angles, & Areas of Triangles
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5 Trigonometry
5.1 Graphs: Sin, Cos & Tan functions
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5.2 Exact values: Sin, Cos & Tan of 30°, 45°, 60°
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5.3 Inverse Trig, and Solutions in specified intervals
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5.4 Identities
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6 Series
6.1 Binomial expansions
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