Course curriculum

• 1

Welcome to KIS 🧠

• Welcome to your KIS Online Program

• 2

• 3

Chapter 2- Geometry

• Chapter 2 Geometry- Worksheet

• Review of Geometry- Theory

• Congruent triangles/proving and applying similar triangles- Theory

• Congruent triangles/proving and applying similar triangles- Answers 1

• Congruent triangles/proving and applying similar triangles- Answers 2

• Circle and chord properties- Theory

• Circle and chord properties- Answers

• Angle properties of circle - Theory

• Angle properties of circle- Answers

• Tangents to a circle/intersecting chords, secants tangents- Theory

• Tangents to a circle/intersecting chords, secants tangents- Answers

• Chapter 2- ANS

• 4

Chapter 3- Indices and Surds

• Chapter 3 Indices and Surds - Worksheet

• Irrational numbers including surds- Theory

• Irrational numbers including surds- Answers

• Rationalising the denominator- Theory

• Review of index laws/negative indices/scientific notations- Theory

• Review of index laws/negative indices/scientific notations- Answers

• Rational indices- Theory

• Exponential equations- Theory

• Graphs of exponentials- Theory

• Exponential growth and decay- Theory

• Exponential growth and decay- Answers

• Compound Interest- Theory

• Chapter 3 Indices and Surds - Answers

• 5

Chapter 4- Trignometry

• Chapter 4 Trigonometry- Worksheet

• Trigonometric ratios - Theory

• Finding unknown angles/applications using elevation and depression- Theory

• Finding unknown angles/applications using elevation and depression- Answers

• Bearings- Theory

• Applications in three dimensions- Problem Solving

• The sine rule- Theory

• The cosine rule- Theory

• Area of a triangle- Theory

• Area of a triangle- Answers

• The unit circle- Theory

• Exact values and radians- Theory

• Graphs of trigonometric functions- Theory

• Graphs of trigonometric functions- Answers

• 6

Chapter 5- Quadratic expressions and equations

• Chapter 5 Quadratic expressions and equations - Worksheet

• Expanding expressions- Theory

• Factorising expressions- Theory

• Factorising monic quadratic trinomials- Theory

• Factorising non-monic quadratic trinomials- Theory

• Factorising by completing the square- Theory

• Factorising by completing the square- Answers

• Solving quadratic equations using factorisation- Theory

• Applications of quadratics- Problem solving

• Solving quadratic equations by completing the square- Theory

• 7

Chapter 6- Measurement

• Chapter 6 Measurement- Worksheet

• Review of Length- Theory

• Pythagoras Theorem- Theory and Answers

• Review of Area- Theory

• Surface area of prisms and cylinders- Theory

• Surface area of prisms and cylinders- Answers

• Surface area of pyramids and cones- Theory

• Surface area of pyramids and cones- Answers

• Volume of prisms and cylinders- Theory

• Volume of prisms and cylinders- Answers

• Volume of pyramids and cones- Theory

• Volume of pyramids and cones- Answers

• Surface area and volume of spheres- Theory

• Surface area and volume of spheres- Answers

• Limits of accuracy- Theory

• 8

Chapter 7- Parabolas and other graphs

• Chapter 7 Parabolas and other graphs- Worksheet

• Exploring parabolas- Theory

• Sketching parabolas using transformation and factorisation- Theory

• Sketching parabolas using transformation and factorisation- Answers

• Sketching parabolas by completing the square and using quadratic formula-Theory

• Sketching parabolas by completing the square and using quadratic formula- Additional Theory

• Sketching parabolas by completing the square and using quadratic formula- Answers

• Parabola- Problem solving

• Intersection of lines and parabolas- Theory

• Intersection of lines and parabolas- Answers

• Functions- Theory

• Graphs of circles and hyperboles- Theory

• Graphs of circles and hyperboles- Answers

• Direct and inverse proportion and other rates of change- Theory

• Direct and inverse proportion and other rates of change- Answers

• Further transformation of graphs- Theory

• Further transformation of graphs- Answers

• Chapter 7 Parabolas and other graphs- Answers

• 9

Chapter 8 - Probability

• Chapter 8 Probability- Worksheet

• Review of probability- Theory

• Unions and intersections- Theory

• Conditional probability- Theory

• Two-step experiments using tables- Theory

• Two-step experiments using tables- Answers

• Using tree diagrams- Theory

• Independent events- Theory

• 10

Chapter 9- Statistics

• Chapter 9 Statistics - Worksheet

• Collecting and using data- Theory

• Collecting and using data- Answers

• Review of statistical graphs- Theory

• Review of statistical graphs- Answers

• Summary statistics- Theory

• Box plots- Theory

• Standard deviation- Theory

• Time series, bivariate data, scatter plots and line of best fit- Theory

• Time series, bivariate data, scatter plots and line of best fit- Answers

• Chapter 9 Statistics - Answers

• 11

Extension: Chapter 10- Logarithm and polynomial

• Chapter 10 Logarithm and polynomial- Worksheet

• Introducing Logarithms- Theory

• Laws of logarithms- Theory

• Solving exponential equations using logarithms- Theory

• Solving exponential equations using logarithms- Answers

• Introducing polynomials/ expanding and simplifying polynomials/ division of polynomials- Theory

• Introducing polynomials/ expanding and simplifying polynomials/ division of polynomials- Answers

• The remainder and factor theorems- Theory

• The remainder and factor theorems- Answers

• Graphs of polynomials- Theory