Skip to content

Curriculum

The whole year, readable in five minutes.

Pick a subject and a grade. You will see every module, what your child can do at the end of it, and the lessons inside, taken from the same plan our mentors teach from.

  • 8 modules a year
  • A practice class after every lesson
  • Two assessments
  • Recordings of every live class

1Subject

Algebra 2 · Grades 9–12

Grades 9–12. Live classes of four, eight a month.

modules
8modules
lessons
48lessons
months
12months
  1. 01

    Quadratic Expressions and Equations

    Solve any quadratic and sketch its graph from the roots and the vertex.

    • Quadratic expressions and their graphs
    • Solving by factorisation
    • Completing the square
    • The quadratic formula
    2 more lessons
    • The discriminant and the nature of the roots
    • How roots and coefficients are related

    6 practice classes

  2. 02

    Functions

    Work with functions, domain, range, composition and inverses.

    • What makes a relation a function
    • Domain, range and notation
    • Composite functions
    • Inverse functions
    2 more lessons
    • Transformations of graphs
    • Piecewise functions

    5 practice classes · An assessment

  3. 03

    Polynomials

    Divide polynomials, and use the remainder and factor theorems.

    • Degree, and how a polynomial behaves
    • Division of polynomials
    • The remainder and factor theorems
    • Finding all the roots
    2 more lessons
    • Sketching a polynomial graph
    • Polynomial inequalities

    6 practice classes

  4. 04

    Rational and Radical Expressions

    Simplify rational and radical expressions, and solve equations containing them.

    • Simplifying rational expressions
    • Operations with rational expressions
    • Solving rational equations
    • Radicals and rational exponents
    2 more lessons
    • Solving radical equations
    • Lesson 24

    5 practice classes · An assessment

  5. 05

    Exponentials and Logarithms

    Work with exponentials and logarithms, including growth and decay problems.

    • Exponential functions and growth
    • The number e
    • Logarithms, and what they actually mean
    • The laws of logarithms
    2 more lessons
    • Solving exponential and logarithmic equations
    • Modelling with exponentials

    6 practice classes

  6. 06

    Sequences and Series

    Find terms and sums of arithmetic and geometric sequences and series.

    • Sequences and their notation
    • Arithmetic sequences and series
    • Geometric sequences and series
    • Infinite geometric series
    2 more lessons
    • Sigma notation
    • Applications in finance and growth

    5 practice classes · An assessment

  7. 07

    Matrices and Systems

    Use matrices, determinants and inverses to solve systems of equations.

    • Matrices and matrix operations
    • Determinants
    • The inverse of a matrix
    • Solving systems with matrices
    2 more lessons
    • Systems of three equations
    • Applications of linear systems

    6 practice classes

  8. 08

    Complex Numbers and Review

    Do arithmetic with complex numbers and represent them on the complex plane.

    • Why complex numbers had to exist
    • Arithmetic with complex numbers
    • The complex plane and modulus
    • Quadratics with complex roots
    2 more lessons
    • Bringing the whole course together
    • Lesson 48

    5 practice classes · An assessment

Practice classes go over the lesson before them: worked problems, revision and doubts. Assessments sit at the midpoint and the end of the year.

Missed a class? Watch it back.

Every live session is recorded, so your child can revise a lesson before a test or catch up after a sick day.