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Secondary 1 — 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

Unit 1: Algebra, relations and functions

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  1. Introduction to complex numbers

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  2. Determining the type of roots of a quadratic equation

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  3. Relation between the roots of a quadratic equation and its coefficients

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  4. Sign of a function

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  5. Quadratic inequalities in one unknown

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Unit 2: Similarity

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  1. Similarity of polygons

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  2. Similarity of triangles

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  3. Relation between the areas of two similar polygons

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  4. Applications of similarity in the circle

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Unit 3: Triangle proportionality theorems

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  1. Parallel lines and proportional parts

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  2. Angle bisectors and proportional parts

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Unit 4: Trigonometry

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  1. The directed angle

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  2. Degree measure and radian measure of an angle

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  3. Trigonometric functions

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  4. Related angles

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  5. Graphing trigonometric functions

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  6. Finding the measure of an angle given one of its trigonometric ratios

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Term 2

Algebra — Unit 1: Matrices

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  1. Organizing data in matrices

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  2. Adding and subtracting matrices

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  3. Multiplying matrices

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  4. Determinants

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  5. The multiplicative inverse of a matrix

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Unit 2: Linear programming

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  1. Linear inequalities

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  2. Solving systems of linear inequalities graphically

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  3. Linear programming and the optimal solution

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Unit 3: Vectors

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  1. Scalar and vector quantities, and the directed line segment

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  2. Vectors

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  3. Operations on vectors

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Unit 4: The straight line

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  1. Dividing a line segment

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  2. Equation of a straight line

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  3. Measure of the angle between two straight lines

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  4. Length of the perpendicular from a point to a straight line

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Unit 5: Trigonometry

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  1. Trigonometric identities

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  2. Solving trigonometric equations

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  3. Solving the right-angled triangle

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  4. Angles of elevation and depression

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  5. The circular sector

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  6. The circular segment

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  7. Areas

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