Curriculum
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General Mathematics — Second Secondary
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Curriculum
General Mathematics — Second Secondary
Unit 1: Real Functions and Curve Sketching
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Real Functions
Text lesson
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Real Functions — Lesson quiz
6 questions
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Monotonicity of Functions
Text lesson
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Monotonicity of Functions — Lesson quiz
6 questions
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Even and Odd Functions
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Even and Odd Functions — Lesson quiz
6 questions
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Graphing Functions
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Graphing Functions — Lesson quiz
6 questions
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Solving Equations and Inequalities
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Absolute value equations
Absolute value inequalities
Quadratic inequalities and sign tables
Worked examples
Common mistakes
Lesson summary
Solving Equations and Inequalities — Lesson quiz
6 questions
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Unit 2: Exponents, Logarithms and Applications
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Rational Exponents
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Rational Exponents — Lesson quiz
6 questions
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The Exponential Function and Its Applications
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The Exponential Function and Its Applications — Lesson quiz
6 questions
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Solving Exponential Equations
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Solving Exponential Equations — Lesson quiz
6 questions
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The Logarithmic Function
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The Logarithmic Function — Lesson quiz
6 questions
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Properties of Logarithms
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Properties of Logarithms — Lesson quiz
6 questions
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Unit 3: Limits
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Introduction to Limits
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Introduction to Limits — Lesson quiz
6 questions
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Finding Limits Algebraically
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Finding Limits Algebraically — Lesson quiz
6 questions
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Limits at Infinity
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Limits at Infinity — Lesson quiz
6 questions
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Unit 4: Trigonometry
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The Sine Rule
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The Sine Rule — Lesson quiz
6 questions
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The Cosine Rule
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The Cosine Rule — Lesson quiz
6 questions
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Text lesson
Solving Equations and Inequalities
General Mathematics — Second Secondary
Solving Equations and Inequalities
Explanation
Lesson summary
Lesson summary
|x| = a gives x = a or x = −a when a > 0.
|x| < a means −a < x < a, and |x| > a means x > a or x < −a.
A quadratic inequality is solved by factorising and then using a sign table.
Always check the solution, especially when using two cases.
Solving Equations and Inequalities · 6 / 6
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