Course curriculum

  • 1

    Introduction

    • Welcome to your KIS Academics Online Program 🧠

  • 2

    1 Functions & Relationships between variables

    • Section 1 Worksheet

    • 1.1 Linear

    • 1.2 Reciprocal

    • 1.3 Rational

    • 1.4 Function & Relations defintions

    • 1.5 Domain & Range

    • 1.6 Composite Funtions, Sign Diagrams

    • 1.7 Transformations

    • 1.8 Graphing Circles

    • Section 1 Worksheet ANNOTATED

  • 3

    2 Quadratics

    • Section 2 Worksheet

    • 2.1 Solving Quadratics

    • 2.2 Discriminant

    • 2.3 Sum and Product of roots

    • 2.4 Graphing Techniques

    • 2.5 Graphing examples

    • 2.6 Problem Solving

    • 2.7 Optimisation

    • Section 2 Worksheet ANNOTATED

  • 4

    3 Polynomials

    • Section 3 Worksheet

    • 3.1 Polynomials

    • 3.2 Roots, Zeros, Factors

    • 3.3 Cubics

    • 3.4 Graphing Cubic

    • 3.5 Quartics

    • Section 3 Worksheet ANNOTATED

  • 5

    4 Pre-Trigonometry

    • Section 4 Worksheet

    • 4.1 Radians

    • 4.2 Arc Length, Sector Area

    • 4.3 Unit Circle and Trig Functions

    • 4.3 CONTINUED

    • 4.4 Questions

    • 4.5 Complete Unit Circle

    • Section 4 Worksheet ANNOTATED

  • 6

    5 Trigonometry

    • Section 5 Worksheet

    • 5.1 Perioidic Functions

    • 5.2 Sine Questions

    • 5.3 Cosine Function

    • 5.4 Tangent Function

    • 5.5 Trig Equations

    • 5.6 Angle sum & Difference

    • Section 5 Worksheet ANNOTATED

  • 7

    6 Binomial & Counting

    • Section 6 Worksheet

    • 6.1 Product & Sum Principal

    • 6.2 Permutations

    • 6.3 Factorial

    • 6.4 Combinations

    • 6.5 Binomial Expansion

    • 6.6 Binomial Theorem

    • Section 6 Worksheet ANNOTATED

  • 8

    7 Sequences & Series

    • Section 7 Worksheet

    • 7.1 Sequences

    • 7.2 Arithmetic Sequences

    • 7.3 Geometric Sequences

    • 7.4 Series

    • 7.5 Arithmetic Series

    • 7.6 Geometric Series

    • Section 7 Worksheet ANNOTATED

  • 9

    8 Statistics

    • Section 8 Worksheet

    • 8.1 Intro Concepts

    • 8.2 Measures of Centre

    • 8.3 Measures of Spread

    • 8.4 Variance, Standard Deviation

    • 8.5 Normal Distribution

    • Section 8 Worksheet ANNOTATED

  • 10

    9 Exponentials

    • Section 9 Worksheet

    • 9.1 Surds

    • 9.2 Indices

    • 9.3 Rational Indices

    • 9.4 Growth & Decay

    • Section 9 Worksheet ANNOTATED

  • 11

    10 Logarithms

    • Section 10 Worksheet

    • 10.1 Log base 10

    • 10.2 Logarithms

    • 10.3 Log Laws

    • 10.4 Solving Equations

    • 10.5 Growth and Decay

    • Section 10 Worksheet ANNOTATED

  • 12

    11 Differential Calculus

    • Section 11 Worksheet

    • 11.1 Rates of Change

    • 11.2 Limits

    • 11.3 First Principals

    • 11.4 Rules of Differentiation

    • 11.5 Tangents & Normals

    • 11.6 Increasing & Decreasing

    • 11.7 Stationary Points

    • 11.8 Optimisation

    • Section 11 Worksheet ANNOTATED

  • 13

    Exam Preparation 🧑‍🎓

    • Exam Preparation 🧑‍🎓