Your notebook

0 of 60 rules

Each lesson adds the rules it teaches. Print it and you have a revision sheet made only of things you've actually worked through.

Empty — for now.

Finish a lesson and its rules land here.

Start the first lesson

Two-step equations

Undo in reverse order

Unlocks in Lesson 1: Undoing →

Two-step equations

Same to both sides

Unlocks in Lesson 2: Keeping balance →

Two-step equations

Check by substituting

Unlocks in Lesson 1: Undoing →

Word problems

“Less than” flips the order

Unlocks in Lesson 1: Words into symbols →

Word problems

Name it, then answer what was asked

Unlocks in Lesson 2: Solve it, then answer it →

Formulas & substitution

Substitute in brackets

Unlocks in Lesson 1: Plug it in →

Formulas & substitution

Squares have two roots

Unlocks in Lesson 2: Working backwards →

Parallel lines

Vertically opposite angles are equal

Unlocks in Lesson 1: Where two lines cross →

Parallel lines

Angles on a straight line add to 180°

Unlocks in Lesson 1: Where two lines cross →

Parallel lines

Corresponding angles are equal — F

Unlocks in Lesson 2: Pairs on parallel lines →

Parallel lines

Alternate angles are equal — Z

Unlocks in Lesson 2: Pairs on parallel lines →

Parallel lines

Co-interior angles add to 180° — C

Unlocks in Lesson 2: Pairs on parallel lines →

Unknown angles

Angles at a point add to 360°

Unlocks in Lesson 1: Around a point →

Unknown angles

Complementary 90°, supplementary 180°

Unlocks in Lesson 1: Around a point →

Unknown angles

Every line needs a reason

Unlocks in Lesson 2: Give reasons →

Triangles & quadrilaterals

A triangle’s angles add to 180°

Unlocks in Lesson 1: Triangles →

Triangles & quadrilaterals

Isosceles: the base angles are equal

Unlocks in Lesson 1: Triangles →

Triangles & quadrilaterals

Exterior angle = the two far corners

Unlocks in Lesson 1: Triangles →

Triangles & quadrilaterals

A quadrilateral’s angles add to 360°

Unlocks in Lesson 2: Quadrilaterals →

Triangles & quadrilaterals

Parallelogram: opposite angles are equal

Unlocks in Lesson 2: Quadrilaterals →

Place value & decimals

× 10 moves the digits, not the point

Unlocks in Lesson 1: The point stays still →

Place value & decimals

Compare decimals column by column

Unlocks in Lesson 2: Longer isn't bigger →

Place value & decimals

Rounding: look one place to the right

Unlocks in Lesson 2: Longer isn't bigger →

Adding & subtracting

Levelling: give and take

Unlocks in Lesson 1: Make it round →

Adding & subtracting

Constant difference: shift both

Unlocks in Lesson 1: Make it round →

Adding & subtracting

Line up the decimal points

Unlocks in Lesson 2: Line up the points →

Adding & subtracting

Estimate to check

Unlocks in Lesson 2: Line up the points →

Multiplying & dividing

Factors come in pairs

Unlocks in Lesson 1: Factors and primes →

Multiplying & dividing

Prime = exactly two factors

Unlocks in Lesson 1: Factors and primes →

Multiplying & dividing

Split, multiply, add

Unlocks in Lesson 2: Split it up →

Multiplying & dividing

Remainders depend on the question

Unlocks in Lesson 2: Split it up →

Order of operations

Order of operations

Unlocks in Lesson 1: Who goes first? →

Order of operations

Equal partners go left to right

Unlocks in Lesson 1: Who goes first? →

Order of operations

A number sentence balances

Unlocks in Lesson 2: Number sentences →

Integers

Adding moves right, subtracting moves left

Unlocks in Lesson 1: Below zero →

Integers

Subtracting a negative is adding

Unlocks in Lesson 1: Below zero →

Integers

Signs for × and ÷

Unlocks in Lesson 2: Signs for × and ÷ →

Integers

(−4)² is not −4²

Unlocks in Lesson 2: Signs for × and ÷ →

Fractions, decimals & percentages

Equivalent: same × top and bottom

Unlocks in Lesson 1: Same amount, more pieces →

Fractions, decimals & percentages

Simplify with the HCF

Unlocks in Lesson 1: Same amount, more pieces →

Fractions, decimals & percentages

Add and subtract with a common denominator

Unlocks in Lesson 2: Operating with fractions →

Fractions, decimals & percentages

Multiply: tops × tops, bottoms × bottoms

Unlocks in Lesson 2: Operating with fractions →

Fractions, decimals & percentages

Divide: keep, change, flip

Unlocks in Lesson 2: Operating with fractions →

Fractions, decimals & percentages

Fraction ↔ decimal ↔ percentage

Unlocks in Lesson 3: Percentages →

Fractions, decimals & percentages

Find the change, then apply it

Unlocks in Lesson 3: Percentages →

Indices & primes

The index counts the factors

Unlocks in Lesson 1: Powers, roots, primes →

Indices & primes

Roots undo powers

Unlocks in Lesson 1: Powers, roots, primes →

Indices & primes

Every number has one prime factorisation

Unlocks in Lesson 1: Powers, roots, primes →

Indices & primes

Multiplying powers: add the indices

Unlocks in Lesson 2: The index laws →

Indices & primes

Dividing powers: subtract the indices

Unlocks in Lesson 2: The index laws →

Indices & primes

Power of a power: multiply the indices

Unlocks in Lesson 2: The index laws →

Indices & primes

Anything to the power 0 is 1

Unlocks in Lesson 2: The index laws →

Algebraic techniques

Only like terms combine

Unlocks in Lesson 1: Like terms →

Algebraic techniques

Substitute with brackets

Unlocks in Lesson 1: Like terms →

Algebraic techniques

Expand: multiply every term inside

Unlocks in Lesson 2: Expand and factorise →

Algebraic techniques

Factorise: take out the HCF

Unlocks in Lesson 2: Expand and factorise →

Linear relationships

The step is the multiplier

Unlocks in Lesson 1: Patterns to rules →

Linear relationships

Fix the rule with the first term

Unlocks in Lesson 1: Patterns to rules →

Linear relationships

Coordinates: across, then up

Unlocks in Lesson 2: Graphs →

Linear relationships

Solve from a graph

Unlocks in Lesson 2: Graphs →