Each one of the 369 modules in the Secondary School Edition/Teacher Edition GCSE version includes:
The table below has a list of all courses included:
Topic: 
Lesson: 
Topic: 
Lesson: 
Number 
Read and write large numbers 
Statistics 
Range 
Number 
Identifying values 
Geometry and measures 
Naming 2D shapes 
Number 
Rounding whole numbers 
Geometry and measures 
Features of 3D shapes 
Number 
Rounding to decimal places 
Geometry and measures 
Know the terms 'face', 'edge' and 'vertex' 
Number 
Rounding to significant figures 
Geometry and measures 
Measuring angles using a protractor 
Number 
Rounding to estimation 
Geometry and measures 
Recognising types of angles 
Number 
Using an empty number line 
Geometry and measures 
Angles on a straight line 
Number 
Column addition and subtraction 
Geometry and measures 
Area and perimeter of a rectangle counting squares 
Number 
Multiply and divide by powers of 10, 100, and 1000 
Geometry and measures 
The net of a cube 
Number 
Standard methods for multiplication 
Geometry and measures 
Calculating time intervals 
Number 
Standard methods for division 
Geometry and measures 
Reading units on scales 
Number 
BIDMAS 
Geometry and measures 
Units to estimate length, mass and capacity 
Number 
Divisibility tests 
Geometry and measures 
Identify lines of symmetry on 2D shapes 
Number 
Introducing negative numbers 


Topic: 
Lesson: 
Topic: 
Lesson: 
Number 
Adding and subtracting decimals 
Geometry and measures 
Choosing appropriate metric units for measuring 
Number 
Introducing inequality signs 
Geometry and measures 
Identifying quadrilaterals 
Number 
Ordering decimals 
Ratio, proportion and rates of change 
Translating a shape on a grid 
Geometry and measures 
Angles around a point 
Statistics 
Mode 
Geometry and measures 
Tessellation 
Statistics 
Calculate median 
Geometry and measures 
Perimeter of a shape 
Statistics 
Mean average 
Topic: 
Lesson: 
Topic: 
Lesson: 
Number 
Multiplying decimals 
Algebra 
Generate terms of a pictorial sequence 
Number 
Dividing decimals 
Probability 
Use a probability scale with words 
Number 
Recognise and use multiples 
Probability 
Use a probability scale with 0 to 1 
Number 
Factors 
Statistics 
Tally charts 
Number 
Prime numbers 
Statistics 
Extract data and interpret discrete bar 
Number 
Common multiples 
Statistics 
Construct simple bar charts 
Number 
Common factors 
Statistics 
Dual bar charts 
Number 
Knowing simple fraction, decimal and percentage equivalents 
Statistics 
Pictograms 
Number 
Convert percentages to fractions out of 100 
Statistics 
Find range and mode from a bar chart 
Number 
Convert percentages to decimals 
Statistics 
Interpret simple pie charts 
Number 
Convert terminating decimals to fractions 
Geometry and measures 
Labelling lines, angles, and triangles 
Number 
Calculate simple percentages 
Geometry and measures 
Area of squares and rectangles using the formula 
Number 
Roots of square numbers 
Geometry and measures 
Use the formula for the area of a triangle 
Algebra 
Inputs and outputs of more complex functions expressed in words 
Geometry and measures 
Surface area of a cube using nets 
Algebra 
Using function machines to find coordinates 
Geometry and measures 
Perimeter of compound shapes 
Algebra 
Read values from straight line graphs 
Geometry and measures 
Properties of triangles 
Algebra 
Drawing and plotting straight line graphs 
Geometry and measures 
Properties of quadrilaterals 
Algebra 
Read and plot coordinates in all four quadrants 
Geometry and measures 
Rotation around a point 
Algebra 
Interpret inequalities and show on a number line 
Geometry and measures 
Begin to estimate the size of angles 
Algebra 
Generate terms of a simple sequence using term to term rules 
Ratio, proportion and rates of change 
To identify fractions 
Algebra 
Generate sequences of square and triangle numbers 
Ratio, proportion and rates of change 
Simple fraction, decimal and percentage equivalents 
Topic: 
Lesson: 
Topic: 
Lesson: 
Number 
Multiply 3 digit by 2 digit numbers 
Statistics 
Calculate the mean from a frequency table 
Number 
Adding and subtracting simple fractions 
Statistics 
Compare distributions using mean 
Number 
Add and subtract from negatives 
Statistics 
Compound and comparative bar charts 
Number 
Multiply and divide negative numbers 
Statistics 
Find range and mode from grouped data 
Number 
Add and subtract integers from positive and negative numbers 
Statistics 
Calculate the interval from grouped data containing median 
Number 
Inverse operations 
Statistics 
Estimate the mean 
Number 
Simplifying fractions 
Geometry and measures 
Interior and exterior angles 
Number 
Prime factor decomposition 
Geometry and measures 
Vertically opposite angles 
Number 
Fractions of quantities and measurements 
Geometry and measures 
Exterior angles in a triangle 
Number 
17.5% 
Geometry and measures 
Calculate the surface area of a cuboid 
Number 
Index notation 
Geometry and measures 
Congruent triangles 
Number 
Ordering negative numbers 
Geometry and measures 
Plans and elevations 
Number 
Order fractions, decimals and percentages 
Geometry and measures 
Solve simple problems with length and area 
Algebra 
Substitute positive integers into simple formulae 
Geometry and measures 
Draw diagrams with lines of symmetry 
Algebra 
Substitute positive and negative integers into simple formulae 
Geometry and measures 
Rotational symmetry 
Algebra 
Collecting like terms 
Geometry and measures 
Identify the order of rotational symmetry 
Algebra 
Forming expressions from words 
Geometry and measures 
Solving problems using properties of triangles 
Algebra 
Plot a simple time distance graph 
Geometry and measures 
Solving problems using properties of quadrilaterals 
Algebra 
Plot and draw simple vertical and horizontal line graphs 
Geometry and measures 
Give a bearing between two points 
Algebra 
Generate terms of a linear sequence 
Ratio, proportion and rates of change 
Compare quantities using ratio 
Algebra 
Simplify by multiplying terms 
Ratio, proportion and rates of change 
Convert between metric units 
Probability 
Probabilities sum to 1 whole 
Ratio, proportion and rates of change 
One number as a fraction of another 
Probability 
Mutually exclusive outcomes 
Ratio, proportion and rates of change 
Share quantities in a given ratio 
Probability 
Probability of something not occurring 
Ratio, proportion and rates of change 
Proportion 
Probability 
Experimental and theoretical probabilities 
Ratio, proportion and rates of change 
Find percentages 
Statistics 
Interpret frequency tables 
Ratio, proportion and rates of change 
Find percentages using a calculator 
Statistics 
Find the mode from frequency tables 
Ratio, proportion and rates of change 
To increase or decrease a quantity by a percentage 
Statistics 
Twoway tables 
Ratio, proportion and rates of change 
Equivalent ratios 
Statistics 
Produce pie charts 
Ratio, proportion and rates of change 
Simplify ratio 
Statistics 
Compare distributions using range and median 


Topic: 
Lesson: 
Topic: 
Lesson: 
Number 
Adding and subtracting fractions with different denominators 
Probability 
Write probabilities in words, fractions, decimals and percentages 
Number 
Multiply a fraction by an integer 
Probability 
Work out probability from a frequency table 
Number 
Multiply by 0.1 and 0.01 
Probability 
Work out probabilities from two way tables 
Number 
Divide by 0.1 and 0.01 
Statistics 
Recognise misleading graphs and statistics 
Number 
Adding three or more fractions 
Statistics 
Design good questions for questionnaires 
Number 
Add mixed numbers 
Statistics 
Use grouped frequency tables for continuous data 
Number 
Work interchangeably with terminating decimals and their corresponding fractions 
Statistics 
Construct and interpret compound bar charts 
Number 
Learn fractional equivalents to key recurring decimals 
Statistics 
Interpret a scatter graph 
Number 
Find fractions of quantities 
Geometry and measures 
Alternate and corresponding angles 
Algebra 
Substitute positive and negative numbers into simple formulae 
Geometry and measures 
Use angle facts to calculate missing angles 
Algebra 
Forming expressions from geometry 
Geometry and measures 
Calculate the volume of a cuboid 
Algebra 
Use graphs to solve distance time problems 
Geometry and measures 
Calculate the area of a parallelogram 
Algebra 
Interpret information from a complex real life graph 
Geometry and measures 
Construct the perpendicular bisector of a line 
Algebra 
Plot coordinates in four quadrants 
Geometry and measures 
Name parts of a circle 
Algebra 
Plot a graph from the equation 
Geometry and measures 
Draw a circle 
Algebra 
Find the nth term of an expression 
Ratio, proportion and rates of change 
Simple unitary ratio and proportion 
Probability 
Use probability to estimate the number of outcomes 
Ratio, proportion and rates of change 
Divide a quantity into more than two parts in a given ratio 
Probability 
Apply probabilities from experimental data to a different experiment 
Ratio, proportion and rates of change 
Use a ratio to find one quantity when the other is known 
Probability 
Identify all mutually exclusive outcomes for successive events 
Ratio, proportion and rates of change 
Use proportion to solve a problem 
Probability 
Record outcomes of events in tables and grids 
Ratio, proportion and rates of change 
Calculate percentage profit and loss 
Probability 
Find the probability of an event happening using relative frequency 


Topic: 
Lesson: 
Topic: 
Lesson: 
Number 
Calculating upper and lower bounds 
Statistics 
Recognise when to use mean, median and mode 
Number 
Write numbers as a decimal number of millions or thousands 
Statistics 
Frequency polygons 
Number 
Divide an integer by a fraction 
Statistics 
Identify and explain outliers in a data set 
Number 
Understand which part of an expression is raised to a power 
Statistics 
Quantitative and qualitative data 
Number 
Calculate average speed, distance and time 
Statistics 
Sample and population 
Number 
Multiplying and dividing any number between 0 and 1 
Statistics 
Primary and secondary data sources 
Number 
Multiply simple fractions (proper and improper)  
Geometry and measures 
Cointerior angles 
Number 
Divide simple fractions 
Geometry and measures 
Exterior angles of polygons 
Number 
Use halving and doubling strategies on fractions to find decimal equivalents 
Geometry and measures 
Interior angles of polygons 
Number 
Establish multiplying and dividing index laws for positive powers 
Geometry and measures 
Area of a trapezium 
Number 
Index laws for powers of 1 and 0 
Geometry and measures 
Circumference of a circle 
Number 
Use an extended range of calculator functions 
Geometry and measures 
Area of a circle 
Algebra 
Substitute positive integers into expressions involving powers 
Geometry and measures 
Construct the bisector of an angle 
Algebra 
Expanding single brackets 
Geometry and measures 
Construct a triangle 
Algebra 
Expanding single brackets and simplifying answers 
Geometry and measures 
Construct an equilateral triangle 
Algebra 
Common factors of expressions 
Geometry and measures 
Construct a hexagon 
Algebra 
Change the subject of a formula 
Geometry and measures 
Calculate an angle in a right angled triangle 
Algebra 
Features of graphs of linear functions 
Geometry and measures 
Enlarge a shape by a positive scale factor 
Algebra 
Interpret velocity, time graphs 
Geometry and measures 
Identify the centre of an enlargement 
Algebra 
Find the coordinates of the midpoint of a line 
Ratio, proportion and rates of change 
Ratios in the form of 1: n and n:1 
Algebra 
Straight line graphs 
Ratio, proportion and rates of change 
Rough metric and imperial equivalents 
Algebra 
Whole number values that satisfy an inequality 
Ratio, proportion and rates of change 
Convert between area measures 
Algebra 
Positiontoterm rules 
Ratio, proportion and rates of change 
Convert between metric measures of volume and capacity 
Probability 
Probability tree diagrams 
Ratio, proportion and rates of change 
Use a unitary method to calculate 100% 
Probability 
Calculate probability of individual events 
Ratio, proportion and rates of change 
Percentages in real life 
Statistics 
Produce backtoback stem and leaf diagrams 
Ratio, proportion and rates of change 
Map scales 
Topic: 
Lesson: 
Topic: 
Lesson: 
Number 
Find the reciprocal of a number 
Geometry and measures 
Area and perimeter of semicircles and quadrants 
Number 
Compound measures 
Geometry and measures 
Congruent triangles 
Number 
Index laws and negative powers 
Geometry and measures 
Construct a perpendicular from a point 
Number 
Write numbers in standard index form 
Geometry and measures 
Loci about a point, line, or corner 
Number 
Calculating compound interest 
Geometry and measures 
Construct angles of 90º, 60º, 30º, and 45º 
Algebra 
Find an unknown where it is not the subject of the formula 
Geometry and measures 
Pythagoras theorem 
Algebra 
Identify parallel lines from their equation 
Geometry and measures 
Describe a translation 
Algebra 
Quadratic functions 
Geometry and measures 
Describe an enlargement 
Algebra 
Construct a table of values of x 
Geometry and measures 
Describe a rotation 
Algebra 
Rearrange linear functions in terms of x 
Geometry and measures 
Describe a reflection 
Algebra 
Linear inequalities 
Ratio, proportion and rates of change 
Find best value using ratio and proportion 
Algebra 
Trial and improvement to solve equations 
Ratio, proportion and rates of change 
Convert between currencies 
Algebra 
Multiplying brackets by a negative number 
Ratio, proportion and rates of change 
Direct proportion with algebra 
Algebra 
Multiplying double brackets 
Ratio, proportion and rates of change 
Inversely proportionate expressions 
Algebra 
Substituting into expressions involving powers 
Statistics 
Venn diagrams 
Algebra 
Factorising expressions into single brackets 
Statistics 
Median, mode and range from stem and leaf diagrams 
Geometry and measures 
Volume of a prism 
Statistics 
Comparing data in pie charts 
Geometry and measures 
Surface area of a prism 
Statistics 
Random sampling 
Geometry and measures 
Calculate lengths and area of a prism given the volume 
Statistics 
Scatter graphs and line of best fit 
Geometry and measures 
Volume of a cylinder 


Topic: 
Lesson: 
Topic 
Lesson: 

Number 
Multiply mixed fractions 
Algebra 
Triangular numbers 

Number 
To manipulate and simplify surds 
Algebra 
Solve simultaneous equations graphically 

Number 
Write numbers less than 1 in standard form 
Algebra 
Solve simultaneous equations where neither or one equation needs multiplying 

Number 
Order numbers in standard form 
Algebra 
Setup and solve a pair of simultaneous equations in two variables 

Number 
Calculations involving numbers in standard form 
Algebra 
Solve simultaneous equations representing a reallife situation 

Number 
Multiply and divide numbers in standard form 
Algebra 
Add and subtract vectors 

Algebra 
Find the equation of a line from its graph 
Geometry and measures 
Find the surface area and volume of compound solids 

Algebra 
Graphs of inverse 
Geometry and measures 
Recognise the formula for length of arc of a circle 

Algebra 
Interpret distance time graphs 
Geometry and measures 
Recognise the formula for area of a sector of a circle 

Algebra 
Interpret gradients 
Geometry and measures 
Enlarged areas and volumes 

Algebra 
Identify and interpret roots, intercepts and turning points of a quadratic graph 
Geometry and measures 
Calculate the short side of a triangle using Pythagoras theorem 

Algebra 
Calculate the length of AB from their given coordinates 
Geometry and measures 
Use trigonometry to find missing sides of a rightangle triangle 

Algebra 
Plot & draw graphs of straight lines without using a table of values 
Geometry and measures 
Use trigonometry to find missing angle of a rightangle triangle 

Algebra 
Recognise a quadratic function from its equation 
Statistics 
Use tree diagrams to calculate the probability of two dependent events 

Algebra 
Solve more complex inequalities 
Statistics 
Construct cumulative frequency tables 

Algebra 
Use algebra to support proofs 
Statistics 
Interpret box plots 

Algebra 
Identify which terms cannot be in a sequence 
Statistics 
Produce box plots from raw data 

Algebra 
Recognise and use simple geometric progressions 


Topic: 
Lesson: 
Topic: 
Lesson: 
Number 
Use inequality notation to specify simple error intervals 
Algebra 
Cube a linear expression and simplify 
Number 
Estimate powers and roots of a positive number 
Statistics 
Interpret cumulative frequency graphs 
Number 
Recall that n0 = 1 and n1 = 1/n for any positive number n 
Statistics 
Compare the measures between a pair of box plots/cumulative frequency graphs 
Algebra 
Change the subject of a complex formula that involves fractions 
Statistics 
Select and justify a sampling scheme and a method to investigate a population 
Algebra 
Identify and interpret gradient from ax+by=c 
Geometry and measures 
Prove and use the fact that the angle in a semicircle is a right angle 
Algebra 
Quadratic equation from the graph of the corresponding quadratic function 
Geometry and measures 
Prove and use the fact that angles in the same segment are equal 
Algebra 
Graphs of simple cubic functions 
Geometry and measures 
Prove and use the fact that opposite angles of a cyclic quadrilateral sum to 180° 
Algebra 
Reciprocal graphs 
Geometry and measures 
Prove and use facts about the angle subtended at the centre and at the circumference 
Algebra 
Find the coordinates of the midpoint of a line 
Geometry and measures 
Use the sine, cosine and tangent ratios to find the lengths of unknown sides in a rightangled triangle 
Algebra 
Solve linear inequalities graphically 
Geometry and measures 
Use the appropriate ratio to find a length or angle 
Algebra 
Solve two simultaneous inequalities algebraically 
Geometry and measures 
Find angles of elevation and angles of depression 
Algebra 
Answer simple proof and 'show that' questions using consecutive integers 
Geometry and measures 
Know that the tangent on a circle is perpendicular to the radius at that point 
Algebra 
Continue a quadratic sequence and use the nth term to generate terms 
Geometry and measures 
Know that the perpendicular from the centre to the chord bisects the chord 
Algebra 
Use finite/infinite and ascending/ descending to describe sequences 
Geometry and measures 
Complete a formal geometric proof of similarity of two triangles 
Algebra 
Arithmetic and geometric sequences 
Ratio, proportion and rates of change 
Use expressions of the form y α x² 
Algebra 
Continue geometric progression and find term to term rule 
Ratio, proportion and rates of change 
Identify direct proportion from a table of values by comparing ratios of values 
Algebra 
Expand double brackets and simplify 


Topic: 
Lesson 
Topic: 
Lesson: 
Number 
Use the product rule for counting 
Probability 
Use a tree diagram to calculate conditional probability 
Number 
Convert a recurring decimal to a fraction in simple cases 
Statistics 
Appropriate use of Histograms 
Number 
Understand a recurring decimal to fraction proof 
Statistics 
Compare distributions and make inferences 
Number 
Value of calculations using indices 
Statistics 
Compare median and interquartile range of two distributions 
Number 
The inverse operation of raising a positive number to a power n 
Statistics 
From a cumulative frequency graph 
Number 
Simplify surd expressions involving squares 
Statistics 
Estimate the mean from a histogram 
Number 
Use fractions, surds and pi in exact calculations, without a calculator 
Statistics 
Stratified sampling 
Algebra 
Use function notation 
Geometry and measures 
Prove and use the alternate segment theorem 
Algebra 
Deduce turning points by completing the square 
Geometry and measures 
Use congruence to show that translations, rotations and reflections preserve length and angle 
Algebra 
Sketch a graph of a quadratic by factorising, identifying roots and yintercept 
Geometry and measures 
Use Pythagoras' theorem in 3D problems 
Algebra 
Find the equation of the line through two given points 
Geometry and measures 
Calculate the length of a diagonal of a cuboid 
Algebra 
The equation of the line through one point with a given gradient 
Geometry and measures 
Enlarge 2D shapes, given a negative, fractional scale factor 
Algebra 
A line perpendicular to the line y = mx + c, will have a gradient of 1/m 
Geometry and measures 
Apply the sine rule a/sin A = b/sin B = c/sin C to find unknown lengths and angles 
Algebra 
Write the equation of a line perpendicular to a given line 
Geometry and measures 
Apply the cosine rule a² = b² + c²  2bc cos A to find unknown lengths 
Algebra 
Analyse a straightline graph 
Geometry and measures 
Area of a triangle given the length of two sides and the included angle 
Algebra 
Solve quadratic inequalities in one variable 
Geometry and measures 
Magnitude of a vector 
Algebra 
Simplify and manipulate algebraic expressions 
Geometry and measures 
Calculate, the sum of, and the difference of two vectors and a scalar multiple of a vector 
Algebra 
Solve exactly linear/quadratic simultaneous equations 
Geometry and measures 
Calculate the resultant of two vectors 
Algebra 
Find approximate solutions to simultaneous equations 
Ratio, proportion and rates of change 
Solve problems involving inverse proportion using graphs 
Probability 
Calculate conditional probability 
Ratio, proportion and rates of change 
Solve problems involving inverse proportionality 
Probability 
Use a tree diagram to calculate conditional probability 
Ratio, proportion and rates of change 
Calculate an unknown quantity 
Probability 
Use Venn diagrams to calculate conditional probability 
Ratio, proportion and rates of change 
Set up and use equations to solve word and other problems involving direct or inverse proportion 
Probability 
Understand probabilities to decide if two events are independent 
Ratio, proportion and rates of change 
Calculate the new area of a shape after enlargement 
Probability 
Understand selection with or without replacement 


Topic: 
Lesson: 
Topic: 
Lesson: 
Number 
Calculate the upper and lower bounds of 2D measurements 
Statistics 
Use and understand frequency density 
Number 
Calculate the upper and lower bounds of other compound measurements 
Statistics 
Construct and interpret histograms from class intervals with unequal width 
Number 
Write (3  √3) ² in the form a + b√3 
Statistics 
From a histogram complete a grouped frequency table 
Number 
Rationalise a denominator 
Statistics 
From a histogram understand and define frequency density 
Algebra 
Apply transformations to the graph of y = f(x) for linear, quadratic, cubic, sine and cosine functions 
Statistics 
Estimate the median from a histogram with unequal class width 
Algebra 
Apply to the graph of y = f(x) the transformations 
Geometry and measures 
Use the formulae for length of arcs and area of sectors of circles to solve problems 
Algebra 
y = f(x) + a 
Geometry and measures 
Give reasons for angle sizes using mathematical language 
Algebra 
y = f(ax) 
Geometry and measures 
Give reasons for angle and length calculations involving the use of tangent theorems 
Statistics 
y = f(x + a) 
Geometry and measures 
Understand and use the fact that tangents from an external point are equal in length 
Statistics 
y = af(x) for linear, quadratic, cubic, sine and cosine functions f(x) 
Geometry and measures 
Apply the cosine rule a² = b² + c²  2bc cos A to find unknown angles 
Algebra 
Construct the graphs of simple loci including the circle x² + y² = r² 
Geometry and measures 
Apply Area = 1/2 ab sin C to calculate the sides or angles of any triangle 
Algebra 
Find the gradient of the radius that meets the circle at a given point 
Geometry and measures 
Prove lines are parallel / co linear 
Algebra 
Find the nth term of a quadratic sequence of the form n² ,an², an² ± b, an² ± bn ± c, 
Ratio, proportion and rates of change 
Recognise sketch and interpret graphs of exponential functions y = kx 
Algebra 
Solve linear/x² + y² = r² simultaneous equations 
Ratio, proportion and rates of change 
Find points that divide a line in a given ratio, using the properties of similar triangles 
Topic: 
Lesson: 
Topic: 
Lesson: 
Algebra 
Interpret the gradient of linear or nonlinear graphs, and estimate the gradient of a quadratic or nonlinear graph at a given point 
Geometry and measures 
Solve problems for areas and volumes 
Algebra 
Find the equation of a tangent to a circle at a given point 
Geometry and measures 
Use the trigonometric ratios to solve 3D problems 
Algebra 
Interpret coordinates for trigonometric graphs 
Geometry and measures 
Find the angle between a line and a task 
Algebra 
Plot graphs of the exponential function y = abx 
Geometry and measures 
Know the exact values of sin θ and cos θ for θ = 0°, 30°, 45°, 60° and 90°; know the exact value of tan θ for θ = 0°, 30°, 45° and 60° 
Algebra 
Use iteration with simple converging sequences 
Geometry and measures 
Use the sine and cosine rules to solve 2D and 3D problems 
Geometry and measures 
Solve problems involving more complex shapes and solids 
Geometry and measures 
Apply vector methods for simple geometrical proofs 
Geometry and measures 
Find the area of a segment of a circle 
Ratio, proportion and rates of change 
Calculate the new volume of a shape after enlargement 
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