Course curriculum

  • 1

    Welcome to KIS 🧠

    • Welcome to your KIS Online Program

  • 2

    Chapter 1- Integers

  • 3

    Chapter 2- Geometry

    • Chapter 2 Geometry- Worksheet

    • Review of Geometry- Theory

    • Review of Geometry- Answers

    • 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

    • Adding/Subtracting/Multiplying/Dividing surds- Theory

    • Adding/Subtracting/Multiplying/Dividing surds- Answers 1

    • Adding/Subtracting/Multiplying/Dividing surds- Answers 2

    • Rationalising the denominator- Theory

    • Rationalising the denominator- Answers

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

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

    • Rational indices- Theory

    • Rational indices- Answers

    • Exponential equations- Theory

    • Exponential equations- Answers

    • Graphs of exponentials- Theory

    • Graphs of exponentials- Answers

    • Exponential growth and decay- Theory

    • Exponential growth and decay- Answers

    • Compound Interest- Theory

    • Compound Interest- Answers

    • Chapter 3 Indices and Surds - Answers

  • 5

    Chapter 4- Trignometry

    • Chapter 4 Trigonometry- Worksheet

    • Trigonometric ratios - Theory

    • Trigonometric ratios - Answers

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

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

    • Bearings- Theory

    • Bearings- Answers

    • Applications in three dimensions- Problem Solving

    • The sine rule- Theory

    • The sine rule- Answers

    • The cosine rule- Theory

    • The cosine rule- Answers

    • Area of a triangle- Theory

    • Area of a triangle- Answers

    • The unit circle- Theory

    • The unit circle- Answers

    • Exact values and radians- Theory

    • Exact values and radians- Answers

    • Graphs of trigonometric functions- Theory

    • Graphs of trigonometric functions- Answers

    • Chapter 4 Trigonometry- Answers

  • 6

    Chapter 5- Quadratic expressions and equations

    • Chapter 5 Quadratic expressions and equations - Worksheet

    • Expanding expressions- Theory

    • Expanding expressions- Answers

    • Factorising expressions- Theory

    • Factorising expressions- Answers

    • Factorising monic quadratic trinomials- Theory

    • Factorising monic quadratic trinomials- Answers

    • Factorising non-monic quadratic trinomials- Theory

    • Factorising non-monic quadratic trinomials- Answers

    • Factorising by completing the square- Theory

    • Factorising by completing the square- Answers

    • Solving quadratic equations using factorisation- Theory

    • Solving quadratic equations using factorisation- Answers

    • Applications of quadratics- Problem solving

    • Solving quadratic equations by completing the square- Theory

    • Solving quadratic equations by completing the square- Answers

    • Solving quadratic equations using the quadratic formula- Theory

    • Solving quadratic equations using the quadratic formula- Answers

    • Chapter 5 Quadratic expressions and equations - Answers

  • 7

    Chapter 6- Measurement

    • Chapter 6 Measurement- Worksheet

    • Review of Length- Theory

    • Review of Length- Answers

    • Pythagoras Theorem- Theory and Answers

    • Review of Area- Theory

    • Review of Area- Answers

    • 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

    • Limits of accuracy- Answers

    • Chapter 6 Measurement- Answers

  • 8

    Chapter 7- Parabolas and other graphs

    • Chapter 7 Parabolas and other graphs- Worksheet

    • Exploring parabolas- Theory

    • Exploring parabolas- Answers

    • 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

    • Functions- Answers

    • 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

    • Review of probability- Answers

    • Unions and intersections- Theory

    • Unions and intersections- Answers

    • The addition rule- Theory

    • The addition rule- Answers

    • Conditional probability- Theory

    • Conditional probability- Answers

    • Two-step experiments using tables- Theory

    • Two-step experiments using tables- Answers

    • Using tree diagrams- Theory

    • Using tree diagrams- Answers

    • Independent events- Theory

    • Independent events- Answers

    • Chapter 8 Probability- Answers

  • 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

    • Summary statistics- Answers

    • Box plots- Theory

    • Box plots- Answers

    • Standard deviation- Theory

    • Standard deviation- Answers

    • 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

    • Introducing Logarithms- Answers

    • Laws of logarithms- Theory

    • Laws of logarithms- Answers

    • 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

    • Graphs of polynomials- Answers

    • Chapter 10 Logarithm and polynomial- Answers