overview

**Learn the right topics at the right time and turn your knowledge into great results. Potentia tutoring can be your cornerstone to success in Year 9 Maths, and a foundation path to HSC Mathematics Advanced and Mathematics Extension subjects.**

The Year 9 Potentia Maths course prepares students for further study of mathematics at an advanced level. Your child will be introduced to deductive reasoning in problem solving and presenting arguments and formal proofs. They will also be guided to interpret and apply formal definitions and generalisations, as well as to connect ideas across different strands of mathematics.

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per term

breakdown

Review and Reinforcement

A review of prior week to reinforce learning and retention.and a quiz to assess their understanding of the previous week’s lesson.

Explain and Explore

Students are guided through detailed analysis of the subject material by the tutor. The aim is to break up material so that it can be manageably understood and retained by students.

Practice and Performance

A practical session where students are guided on how to answer math questions

and offered feedback on their answers and working out.

and offered feedback on their answers and working out.

Synthesise

Students test their mastery of the concepts presented through a short quiz. Real

time feedback is given to identify areas for further practice.

time feedback is given to identify areas for further practice.

program

Potentia term 1 Oct - Dec

Lesson 1: Algebraic products: Addition and Subtraction of Algebraic fractions

Lesson 2: Algebraic products: Expanding binomial denominators

Lesson 3: Algebraic products: Recognising and applying perfect squares

Lesson 4: Algebraic products Review and Topic Test

Lesson 5: Surds: Simplifying Surds

Lesson 6: Surds: Applications and problem solving

Lesson 7: Surds Review and Topic Test

Lesson 8: Surface area and volume: Composite shapes, rectangular and triangular prisms

Lesson 9: Surface area and volume: Cylinders, Pyramids, Cones, Spheres

Lesson 10: Surface area review and topic test

Lesson 2: Algebraic products: Expanding binomial denominators

Lesson 3: Algebraic products: Recognising and applying perfect squares

Lesson 4: Algebraic products Review and Topic Test

Lesson 5: Surds: Simplifying Surds

Lesson 6: Surds: Applications and problem solving

Lesson 7: Surds Review and Topic Test

Lesson 8: Surface area and volume: Composite shapes, rectangular and triangular prisms

Lesson 9: Surface area and volume: Cylinders, Pyramids, Cones, Spheres

Lesson 10: Surface area review and topic test

Potentia term 2 Jan - April

Lesson 1: Algebraic factors: Factorising common factors

Lesson 2: Algebraic factors: Factorising quadratic expressions

Lesson 3: Algebraic factors: Mixed factorising

Lesson 4: Algebraic factors: factorising and simplifying algebraic fractions

Lesson 5: Algebraic factors review and topic test

Lesson 6: Trigonometry and Pythagoras’ Theorem: sine, cosine and tangent

Lesson 7: Trigonometry and Pythagoras’ Theorem: Applications and problem solving

Lesson 8: Trigonometry and Pythagoras’ Theorem Review and Topic Test

Lesson 9: Review of Term 1 and 2

Lesson 10: Half Yearly Test

Lesson 2: Algebraic factors: Factorising quadratic expressions

Lesson 3: Algebraic factors: Mixed factorising

Lesson 4: Algebraic factors: factorising and simplifying algebraic fractions

Lesson 5: Algebraic factors review and topic test

Lesson 6: Trigonometry and Pythagoras’ Theorem: sine, cosine and tangent

Lesson 7: Trigonometry and Pythagoras’ Theorem: Applications and problem solving

Lesson 8: Trigonometry and Pythagoras’ Theorem Review and Topic Test

Lesson 9: Review of Term 1 and 2

Lesson 10: Half Yearly Test

Potentia term 3 April - July

Lesson 1: Coordinate Geometry: Midpoint and Gradient Formula

Lesson 2: Coordinate Geometry: Equation of a line

Lesson 3: Coordinate Geometry: Linear Equations

Lesson 4: Coordinate Geometry: Application and problem solving

Lesson 5: Coordinate Geometry Review and Topic Test

Lesson 6: Linear Equations and Inequations

Lesson 7: Quadratic and Cubic Equations

Lesson 8: Solving Equations involving substitution into formula

Lesson 9: Linear and Quadratic Equations Review and Topic Test

Lesson 10: Congruent and Similar Figures

Lesson 2: Coordinate Geometry: Equation of a line

Lesson 3: Coordinate Geometry: Linear Equations

Lesson 4: Coordinate Geometry: Application and problem solving

Lesson 5: Coordinate Geometry Review and Topic Test

Lesson 6: Linear Equations and Inequations

Lesson 7: Quadratic and Cubic Equations

Lesson 8: Solving Equations involving substitution into formula

Lesson 9: Linear and Quadratic Equations Review and Topic Test

Lesson 10: Congruent and Similar Figures

Potentia term 4 July - Sept

Lesson 1: Congruent and Similar Figures: Tests for congruent triangles

Lesson 2: Congruent and Similar Figures: Similarity, scale factor and ratios

Lesson 3: Congruent and Similar Figures: Angle sum of a polygon

Lesson 4: Congruent and Similar Figures Review and Topic Test

Lesson 5: Introduction to Earnings (Wages, Salaries, hourly rates, penalty rates etc..)

Lesson 6: Investing money (Simple interest)

Lesson 7: Earning money review and topic test

Lesson 8: Review Terms 1 and 2

Lesson 9: Review Terms 3 and 4

Lesson 10: Yearly Exam

Lesson 2: Congruent and Similar Figures: Similarity, scale factor and ratios

Lesson 3: Congruent and Similar Figures: Angle sum of a polygon

Lesson 4: Congruent and Similar Figures Review and Topic Test

Lesson 5: Introduction to Earnings (Wages, Salaries, hourly rates, penalty rates etc..)

Lesson 6: Investing money (Simple interest)

Lesson 7: Earning money review and topic test

Lesson 8: Review Terms 1 and 2

Lesson 9: Review Terms 3 and 4

Lesson 10: Yearly Exam