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Mathematics · Year 10 · Unit 2

Algebraic Techniques & Linear Relationships

Master the algebraic foundations and connect them to the coordinate plane. From simplifying expressions and solving equations to graphing lines and modelling real-world situations with linear relationships. Fully mapped to the NESA Mathematics K-10 Syllabus (2022) Stage 5 Core.

20lessons

4assessments

8-12hstudy

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Lessons

Block A, Algebraic Techniques Lessons 1-7

Simplifying Algebraic Expressions

Expanding Algebraic Expressions

Factorising Common Factors

Factorising Quadratics

Difference of Squares

Mixed Factorisation and Simplification

Algebraic Fractions

Checkpoint 1, Algebraic Techniques

Covers Lessons 1-7. Simplifying, expanding, factorising and algebraic fractions.

Block B, Equations and Inequalities Lessons 8-14

Solving Linear Equations

Equations with Fractions

Formulas and Rearrangement

Linear Inequalities

Word Problems with Linear Equations

Simultaneous Equations, Substitution

Simultaneous Equations, Elimination

Checkpoint 2, Equations and Inequalities

Covers Lessons 8-14. Linear equations, fractions, formulas, inequalities, word problems and simultaneous equations.

Block C, Linear Relationships Lessons 15-20

Coordinate Geometry, Distance and Midpoint

Gradient of a Line

Graphing Linear Relationships

Equations of Lines

Parallel and Perpendicular Lines

Linear Modelling

Checkpoint 3, Coordinate Geometry & Linear Modelling

Covers Lessons 15-20. Distance, midpoint, gradient, equations of lines, parallel/perpendicular and linear modelling.

Unit Quiz, Algebraic Techniques & Linear Relationships

Comprehensive assessment covering all 20 lessons, 3 checkpoints and Working Mathematically.

Unit Snapshot

20lessons

3checkpoints

1unit quiz

3topics

Ready to start?

Work through the lessons in order, each one builds on the last.

Start Lesson 1 →