The whole year, readable in five minutes.

1Subject

1. 01

   From Arithmetic to Algebra

   Write an expression from a sentence and substitute values into it confidently.

   • Why we use letters for numbers
   • Writing an expression from words
   • Substituting values into an expression
   • Like terms and simplifying
   2 more lessonsShow fewer

   • The distributive law
   • Order of operations with variables

   6 practice classes

2. 02

   Linear Equations

   Solve linear equations, including with brackets and fractions.

   • What an equation actually says
   • Solving by keeping the balance
   • Equations with brackets
   • Equations with fractions
   2 more lessonsShow fewer

   • Variables on both sides
   • Turning a word problem into an equation

   5 practice classes · An assessment

3. 03

   Inequalities and Formulae

   Solve and graph inequalities, and rearrange a formula for any variable.

   • Inequalities and their notation
   • Solving linear inequalities
   • Showing solutions on a number line
   • Compound inequalities
   2 more lessonsShow fewer

   • Rearranging a formula
   • Using formulae from other subjects

   6 practice classes

4. 04

   Exponents and Polynomials

   Apply the exponent laws and add, subtract and multiply polynomials.

   • The laws of exponents
   • Negative and zero exponents
   • Adding and subtracting polynomials
   • Multiplying a monomial by a polynomial
   2 more lessonsShow fewer

   • Multiplying two binomials
   • Lesson 24

   5 practice classes · An assessment

5. 05

   Factorising

   Factorise by common factors, by grouping, and by the difference of two squares.

   • Common factors
   • Factorising by grouping
   • The difference of two squares
   • Factorising simple quadratics
   2 more lessonsShow fewer

   • Factorising harder quadratics
   • Choosing the right method

   6 practice classes

6. 06

   Graphs and Linear Functions

   Plot a linear function, and read gradient and intercept off its graph.

   • The coordinate plane
   • Plotting a linear equation
   • Gradient and intercept
   • Writing the equation of a line
   2 more lessonsShow fewer

   • Parallel and perpendicular lines
   • Reading a real-world graph

   5 practice classes · An assessment

7. 07

   Systems of Equations

   Solve simultaneous equations graphically, by substitution and by elimination.

   • What simultaneous equations mean
   • Solving graphically
   • The substitution method
   • The elimination method
   2 more lessonsShow fewer

   • Systems with no solution, or infinitely many
   • Word problems with two unknowns

   6 practice classes

8. 08

   Ratio, Proportion and Review

   Handle ratio, proportion and percentage problems algebraically.

   • Ratio and proportion, algebraically
   • Direct and inverse variation
   • Percentage problems with algebra
   • Checking a solution properly
   2 more lessonsShow fewer

   • The mistakes that cost the most marks
   • 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.