Maths

Algebraic notation

• Algebraic notation and conventions

Arithmetic sequences and nth term

• Arithmetic sequences and finding the nth term

Changing the subject of a formula

• Changing the subject of a formula

Collecting like terms

• Simplifying by collecting like terms

Coordinates

• Plotting coordinates in all four quadrants

Difference of two squares

• Difference of two squares

Drawing linear graphs efficiently

• Drawing linear graphs efficiently

Equations of curves and graphs

• Equations and their graphs (linear and non-linear)

Equations with brackets

• Solving linear equations involving brackets

Equations with unknowns on both sides

• Solving linear equations with unknowns on both sides

Expanding double brackets

• Expanding the product of two binomials

Expanding single brackets

• Expanding a single bracket

Factorising into a single bracket

• Factorising expressions (single bracket)

General form ay + bx + c = 0

• Equation of a line in general form

Geometric sequences

• Geometric sequences

Linear graphs — gradient and intercept

• Gradient and y-intercept of a linear graph

One-step linear equations

• Solving one-step linear equations

Plotting from a rule

• Plotting coordinates generated from a rule

Position-to-term sequences

• Generating sequences from position-to-term rules

Solving simultaneous equations graphically

• Solving simultaneous equations graphically

Special number sequences

• Special number sequences (square, triangular, Fibonacci)

Substitution

• Substituting values into expressions and formulae

Term-to-term sequences

• Generating sequences from term-to-term rules

The equation y = mx + c

• Finding the equation of a straight line (y = mx + c)

Two-step linear equations

• Solving two-step linear equations

Angles in a triangle

• Angle sum in a triangle

Angles on parallel lines

• Angles on parallel lines (corresponding, alternate, co-interior)

Area of a circle

• Area of a circle

Area of a trapezium

• Area of a trapezium

Area of a triangle

• Area of a triangle

Area of composite shapes

• Area of composite rectilinear shapes

Choosing the trig ratio

• Choosing the right trigonometric ratio (SOHCAHTOA)

Circumference of a circle

• Circumference of a circle

Composite 2D shapes

• Perimeter and area of composite shapes (including circular parts)

Congruence in shapes

• Congruence and congruent shapes

Congruent triangles criteria

• Criteria for congruent triangles (SSS, SAS, ASA, RHS)

Constructing angle bisectors

• Bisecting an angle

Constructing perpendicular bisectors

• Perpendicular bisector of a line segment

Constructing perpendiculars

• Constructing perpendicular through a point

Constructing triangles

• Constructing triangles with ruler and compass

Enlargements

• Enlarging shapes (positive integer scale factor)

Exterior angles and regular polygons

• Exterior angles and regular polygons

Interior angles of polygons

• Interior angle sum of polygons

Perimeter of polygons

• Perimeter of polygons and composite shapes

Pythagoras' theorem

• Pythagoras' theorem (finding the hypotenuse)

Pythagoras' theorem (shorter side)

• Pythagoras' theorem — finding a shorter side

Reflections

• Reflecting shapes

Rotations

• Rotating shapes

Similarity in shapes

• Similarity and similar shapes

Surface area of cuboids and prisms

• Surface area of cuboids and prisms

Surface area of cylinders

• Surface area of cylinders

Translations

• Translating shapes

Trigonometry — cosine ratio

• Right-angled triangle trigonometry: cosine

Trigonometry — sine ratio

• Right-angled triangle trigonometry: sine

Trigonometry — tangent ratio

• Right-angled triangle trigonometry: tangent

Volume of cylinders

• Volume of a cylinder

Volume of prisms

• Volume of prisms (including cuboids)

Adding and subtracting fractions

• Adding and subtracting fractions (including mixed numbers)

Adding and subtracting integers

• Adding and subtracting positive and negative integers

Dividing fractions

• Dividing fractions

Divisibility tests

• Divisibility tests (2, 3, 4, 5, 6, 8, 9, 10)

Estimating and modelling with maths

• Estimating and modelling real-world problems

Estimation

• Estimating numerical calculations

Factors and multiples

• Factors and multiples

Fractions and decimals

• Converting between fractions and decimals (terminating and recurring)

Fractions foundations

• Equivalent fractions and simplifying

HCF and LCM

• Highest common factor and lowest common multiple

Improper fractions and mixed numbers

• Converting between improper fractions and mixed numbers

Laws of arithmetic

• Associative, commutative and distributive laws

Metric and imperial units

• Place value in metric and imperial units

Multiplying and dividing decimals

• Multiplying and dividing decimals

Multiplying and dividing integers

• Multiplying and dividing positive and negative integers

Multiplying fractions

• Multiplying fractions

Negative numbers

• Negative numbers in context

Order of operations

• Order of operations (BIDMAS)

Ordering and comparing numbers

• Ordering and comparing numbers

Ordering and operating with standard form

• Ordering and comparing numbers in standard form

Ordering fractions and decimals

• Ordering positive and negative fractions and decimals

Place value of decimals

• Place value in decimals

Place value of integers

• Place value of whole numbers

Power notation

• Index/power notation

Powers of 10 and column headings

• Powers of 10 and exponential column headings

Powers of 10 with negative exponents

• Powers of 10 with negative exponents

Primes and prime factorisation

• Prime numbers and prime factor decomposition

Rounding to decimal places

• Rounding to decimal places

Rounding to significant figures

• Rounding to significant figures

Squares, cubes, and roots

• Square and cube numbers and their roots

Standard form (large numbers)

• Standard form for large numbers

Standard form (small numbers)

• Standard form for small numbers

Truncating and rounding errors

• Truncating and bounds of error

Likelihood scale

• The probability scale and likelihood

Listing outcomes

• Listing outcomes for one and two events

Probabilities sum to 1

• Probabilities of all outcomes sum to 1

Probability of combined events

• Probability of two combined events

Theoretical probability

• Calculating theoretical probabilities

Tree diagrams for outcomes

• Outcome trees for two or more events

Two-way tables for outcomes

• Two-way tables for outcomes of two events

Venn diagrams

• Venn diagrams for outcomes and probabilities

Compound units — density and pricing

• Density, unit pricing, and other compound units

Compound units — speed

• Speed, distance and time

Direct proportion

• Direct proportion (graphical and algebraic)

Exchange rates and conversions

• Using ratio for exchange rates and unit conversions

Fractions of a quantity

• Finding a fraction of a quantity

Inverse proportion

• Inverse proportion in context

Multiplicative relationships

• Multiplicative relationships as ratios and fractions

One number as a fraction of another

• Expressing one number as a fraction of another

One number as a percentage of another

• Expressing one number as a percentage of another

Percentage increase and decrease

• Percentage increase and decrease

Percentages of an amount

• Finding a percentage of an amount (with a multiplier)

Ratio notation

• Ratio notation and equivalent ratios

Reverse percentages

• Finding the original amount after a percentage change

Sharing in a ratio

• Dividing a quantity into a given ratio

Whole-and-part with ratio

• Finding the whole or a part from a ratio

Bar charts and pictograms

• Constructing and interpreting bar charts and pictograms

Comparing data sets

• Comparing data using averages and range

Correlation

• Correlation in bivariate data

Mean, median, mode

• Mean, median, and mode of a data set

Pie charts

• Constructing and interpreting pie charts

Range

• Range and spread of data

Real-world data analysis

• Analysing real-world data (environment / climate / workplace contexts)

Scatter graphs

• Constructing and interpreting scatter graphs

Statistical inquiry cycle

• Planning and drawing conclusions from a statistical inquiry