Grade 10 Term 1
Course Content
Grade 9 Number systems
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Overview of Number Systems
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Natural numbers, Whole numbers, and Integers
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Rational and Irrational Numbers
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Surds, Non-real numbers and Undefined numbers
Grade 9 LCM and HCF
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Overview of Prime and Composite Numbers
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Definitions
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Prime and Composite Numbers
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Finding the LCM using its definition (Method 1)
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Finding the HCF using its definition (Method 1)
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Finding the LCM and HCF using Prime Factorization
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LCM and HCF involving both numbers and variables
Grade 9 Fractions
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Overview of Fractions
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Types of Fractions
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Adding and subtracting fractions
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Converting Fractions
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Multiplying and Dividing fractions
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Properties of fractions
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Equivalent Fractions
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Fractions involving numbers and variables
Grade 9 Algebraic Expressions
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Introduction
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Operation with integers
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Structure of a term
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Like and Unlike terms
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Multiplying and Dividing terms with variables and numbers
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Properties for expressions and equations
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BOEDMAS
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Odd, Even, Consecutive
Grade 10 Algebra
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Grade 10 Number Systems
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Rounding off and Estimating Surds
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Converting from recurring numbers to fractions
Grade 9 Products and Factorization
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Introduction
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Basic Terminology
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Products of monomials
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Products of binomials
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Summary of products
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Introduction to factorization
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Factoring by HCF
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Factoring by HCF done by inspection
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Factoring by D.O.T.S
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Factoring of Trinomials
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Conclusion
Grade 10 Factorization
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Introduction
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Factoring by grouping
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Factoring of trinomials
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Factoring special binomials
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Summary
Grade 10 Rational Expressions
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Introduction
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Multiplying and Dividing Rational Expressions
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Adding and Subtracting Rational Expressions
Grade 9 Exponents
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Introduction
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Integer Exponents
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What does the square root and cube rooot mean?
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GIVEN vs USING a square root
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Comparing Exponents
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Exponential Rules
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Decimal and Roots
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Link to prime and Composite numbers
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Exponential Equations
Grade 10 Rational Exponents
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Introduction
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Exponential expressions (Multiplication and Division)
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Exponential expressions (Addition and Subtraction)
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Rational Exponents Expressions
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Exponential Equations
Grade 10 Equations
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Introduction
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Linear Equations
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Quadratic Equations
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Literal Equations
Grade 10 Simultaneous Equations
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Introduction
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Method of Substitution
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Method of Elimination
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Solving some examples
Grade 10 Inequalities
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Introduction to sets
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Representation of sets
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Linear Inequalities
Word Problems
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Introduction
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Age Word Problems
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General Word Problems
Trigonometry
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Introduction
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Positive, Negative, Co-terminal angles
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Trigonometric ratios
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Calculator Skills
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Special Angles
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Using trigonometric ratios to solve for missing sides and angles
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Practice Questions
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Defining trig ratios on the Cartesian plane
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Practice Questions
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Reference angles
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