Algebraic Expressions

What Will You Learn?
- 1. Foundation: Grade 9 Number Systems. Numbers are the "words" of mathematics, forming the basis of all calculations. Understanding different number types (integers, rational, irrational) to build fluency.
- 2. LCM and HCF (Grade 9). Essential simplification techniques that make solving problems easier. Learning how to break numbers down efficiently for factorization and operations.
- 3. Fractions (Grade 9). Expanding mathematical possibilities by working with non-whole values. Deep exploration of fraction properties, calculations, and smart problem-solving techniques.
- 4. Transition to Algebraic Expressions (Grade 9). Moving from numbers to structured mathematical language. Learning how to "write a story" in mathematics—expressions, equations, and simplifications.
- 5. Grade 10 Simplification Techniques. Applying advanced methods to simplify complex problems. Strengthening the ability to manipulate expressions efficiently for problem-solving.
Course Content
Start Here
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 Number
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Surds, Non-real 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 LCM using the definition (Method 1)
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Finding HCF using its definition (Method 1)
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Finding LCM and HCF using Prime Factorization (Method 2)
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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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Converting Fractions
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Adding and Subtracting 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 numbers and variables
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Properties of expressions and equations
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BODMAS
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Odd, Even and Consecutive
Grade 10 Algebra Course
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Number Systems
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Rounding off and Estimating Surds
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Converting 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 (by inspection)
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Factoring by D.O.T.S
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Factoring Trinomials
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Summary of Factorization
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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Factorizing Special Binomials
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Summary of Factorization
Grade 10 Rational Expressions
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Introduction
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Multiplying and Dividing Rational Expression
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Adding and Subtracting Rational Expressions
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