Course curriculum

  • 1

    Welcome to KIS 🧠

  • 2

    Linear equations

    • Chapter 1:2 Linear equations

    • Solving and constructing linear equations

    • Graphing linear equations

    • Gradient and finding the equation of a straight line

    • Distance, midpoint and angle of slope

    • Simultaneous equations

    • Linear models

    • Chapter 1:2 Linear equations

    • Introduction to the CAS

    • CAS Techniques: Linear equations
  • 3

    ✅ Quadratics

  • 4

    Gallery of Graphs

    • Chapter 4- Gallery of Graphs

    • Rectangular hyperbolas

    • Truncus

    • Square root function

    • Circles and semi-circles

    • Chapter 4- Gallery of Graphs

  • 5

    Functions and relations

    • Chapter 5- Functions and relations

    • Set and interval notation

    • Functions and relations

    • Implied Domains

    • Piecewise functions

    • Inverse Functions

    • Chapter 5- Functions and relations

  • 6

    Polynomials

    • Chapter 6- Polynomials

    • What is a polynomial?

    • Cubic factorisations and expansions

    • Division of polynomials

    • Factorisation of polynomials

    • Sketching cubic graphs

    • Quartics

    • Chapter 6- Polynomials
  • 7

    Probability

    • Definitions and notation

    • Multi-stage experiments

    • Combining events- Venn Diagrams

    • Karnaugh Maps

    • Conditional and independent probability

    • Chapter 9- Probability

    • Chapter 9- Probability
  • 8

    Counting Methods and discrete random variables

    • Chapter 10 and 11- Counting Methods and discrete probability

    • Counting Methods: Combinations and Permutations

    • Discrete random variables

    • Sampling without replacement

    • Binomial distribution
  • 9

    Exponentials and Logarithms

    • Chapter 13- Exponentials and logarithms

    • Index Laws

    • Solving exponential equations and inequalities

    • Graphs of exponential functions

    • Log Laws

    • Graphs of logarithmic functions

    • Inverses between exponentials and logs

    • Exponential growth and decay

    • Chapter 13- Exponentials and logarithms
  • 10

    Differentiation

    • Differentiation

    • Differentiation by first principles

    • Differentiation formulae

    • Limits and continuity

    • Differentiability
  • 11

    Applications of differentiation

    • Applications of differentiation

    • Tangents and normals

    • Stationary points

    • Rates of change

    • Absolute and local maximums and minimums
  • 12

    Antidifferentiation and integration

    • Antidifferentiation and Integration

    • Antidifferentiation

    • Finding areas under curves

    • Properties of the definite integral
  • 13

    Exam Preparation 🧑‍🎓

    • Exam Preparation 🧑‍🎓