Each one of the 369 modules in the Secondary School Edition/Teacher Edition GCSE version includes:

- A professionally narrated & animated lesson with English subtitles followed by a competency-based assessment
- Maths Questions
- A Teaching Techniques film

The table below has a list of all courses included:

Enter a word or phrase to search for a Lesson. Each Step will have the number of related Lessons highlighted in blue.

Number

**Read and write large numbers**

Number

**Identify numbers**

Number

**Round positive whole numbers to the nearest 10, 100 or 1000**

Number

**Round using decimal places**

Number

**Round using significant figures**

Number

**Estimate numbers**

Number

**Using an empty number line**

Number

**Use standard column procedures to add and subtract whole numbers**

Number

**Multiply and divide integers by 10 and 100, and explain the effect**

Number

**Long and short multiplication**

Number

**Long and short division**

Number

**Know and use the order of operations**

Number

**Apply simple tests of divisibility**

Number

**order positive and negative integers**

Statistics

**Find range from a set of ordered data**

Geometry and measures

**Know the names of 2d shapes**

Geometry and measures

**Identify and name common solids: cube, cuboid, cylinder, prism, pyramid, sphere and cone**

Geometry and measures

**Know the terms face, edge and vertex**

Geometry and measures

**Use a protractor to measure acute angles to the nearest degree**

Geometry and measures

**Distinguish between acute, obtuse and reflex angles**

Geometry and measures

**Know the sum of angles on a straight line**

Geometry and measures

**Find the perimeter of a square/rectangle by counting**

Geometry and measures

**Identify complex arrangements of a net of a cube**

Geometry and measures

**Work out time intervals**

Geometry and measures

**Read and interpret scales on a range of measuring instruments**

Geometry and measures

**Suggest suitable units to estimate or measure length, mass and capacity**

Geometry and measures

**Identify all the symmetries of 2-D shapes**

Number

**Understand addition and subtraction as they apply to whole numbers and decimals**

Number

**Be able to use > or < correctly between two positive decimals. Decimals should be to 4 or 5 significant figures**

Number

**Be able to order positive decimals. Decimals should be to 4 or 5 significant figures**

Geometry and measures

**Know the sum of angles round a point**

Geometry and measures

**Explain why some shapes tessellate and why other shapes do not**

Geometry and measures

**Find the perimeter of a shape**

Geometry and measures

**Choose suitable metric units to estimate length and area.**

Geometry and measures

**Identify quadrilaterals from their properties**

Geometry and measures

**Know the sum of angles in a triangle is 180°**

Geometry and measures

**Know the sum of angles in a quadrilateral is 360°**

Geometry and measures

**Translate a shape on a square/coordinate grid**

Geometry and measures

**Recognise and visualise the reflection in a mirror line of a 2-D shape**

Ratio, proportion and rates of change

**Read and construct scale drawings**

Statistics

**Calculate Mode**

Statistics

**Calculate Median**

Statistics

**Calculate mean**

Number

**Understand multiplication as it applies to decimals**

Number

**Understand division as it applies to decimals**

Number

**Recognise and use multiples**

Number

**Recognise and use factors**

Number

**Identify numbers with exactly 2 factors (primes)**

Number

**Understand how to find common multiples.**

Number

**Understand how to find the common factors**

Number

**Knowing simple Fraction, Decimal and Percentage equivalents**

Number

**Convert percentages to fractions out of 100**

Number

**Convert percentage to decimals**

Number

**Convert terminating decimals to fractions, e.g. 0.23 = 23/100**

Number

**Calculating simple percentages without a calculator**

Number

**Find roots of square numbers upto 100 (i.e. roots upto 10)**

Algebra

**Find outputs and inputs of more complex functions expressed in words (e.g. add 6 then multiply by 3)**

Algebra

**Use function machines to find coordinates**

Algebra

**Read values from straight-line graphs for real-life situations**

Algebra

**Drawing straight-line graphs for real-life situations**

Algebra

**Read and plot co-ordinates in all four quadrants.**

Algebra

**Be able to interpret inequalities and show on a number line**

Algebra

**Generate terms of a simple sequence using term to term rule**

Algebra

**Generate and describe simple integer sequences – square and triangle numbers**

Algebra

**Generate terms of a simple sequence arising from practical contexts (Pictorial) **

Probability

**Use a probability scale with words.**

Probability

**Mark events and/or probabilities on a probability scale of 0 to 1**

Statistics

**Represent data in a table (Tally chart)**

Statistics

**Extract data and interpret discrete bar charts**

Statistics

**Construct simple bar charts to represent discrete data**

Statistics

**Produce dual bar charts**

Statistics

**Produce pictograms**

Statistics

**Find the mode and range from a bar chart**

Statistics

**Interpret simple pie charts using simple fractions and percentages**

Geometry and measures

**Using correct notation to label lines, angles and triangles**

Geometry and measures

**Use the formula for the area of a rectangle/square**

Geometry and measures

**Use the formula for the area of a triangle**

Geometry and measures

**Calculate the surface area of cubes with a net**

Geometry and measures

**Calculate perimeter and area of compound shapes made from triangles, rectangles**

Geometry and measures

**Identify simple angle, side and symmetry properties of triangles**

Geometry and measures

**Identify angle, side and symmetry properties of simple quadrilaterals**

Geometry and measures

**Recognise and visualise – rotation about a given point (rotation point must be outside the shape)**

Geometry and measures

**Begin to estimate the size of angles**

Ratio, proportion and rates of change

**Use fraction notation to describe parts of shapes**

Ratio, proportion and rates of change

**Recognise the equivalence of percentages, fractions and decimals**

Number

**Multiply three-digit by two-digit whole numbers**

Number

**Begin to add and subtract simple fractions and those with simple common denominators**

Number

**Add and subtract positive integers from negative integers**

Number

**Multiply and divide negative integers by a positive and negative numbers**

Number

**Add and subtract integers - positive and negative numbers**

Number

**Use inverse operations**

Number

**Simplify fractions by cancelling all common factors**

Number

**primes factor decomposition**

Number

**Calculate simple fractions of quantities and measurements (whole-number answers)**

Number

**Extend the percentage calculation strategies with jottings to find any percentage, e.g. 17.5% by finding 10%, 5% and 2.5%, and adding**

Number

**Use index notation for squares and cubes and for positive integer powers of 10 (e.g. write 27 as 3³ and 1000 as 10³)**

Number

**Be able to order negative decimals with the smallest on the left. Decimals should be to 2 or 3 significant figures**

Number

**Order fractions, decimals and percentages**

Algebra

**Substitute positive integers into simple formulae expressed in letter symbols, e.g. a+/- b, a × b**

Algebra

**Substitute integers into more complex formulae expressed in letter symbols, e.g. a/b, ax +/- b**

Algebra

**simplify algebraic expressions by collecting like terms**

Algebra

**Form expression from words**

Algebra

**Plot a simple distance-time graph (straight-line graphs)**

Algebra

**Plot and draw vertical and horizontal line graphs**

Algebra

**Generate terms of a linear sequence using term-to-term using positive or negative integers.**

Algebra

**Multiply together two simple algebraic expressions, e.g. 2a × 3b**

Probability

**Apply the property that the probabilities of an exhaustive set of outcomes sum to 1**

Probability

**Identify all possible mutually exclusive outcomes of a single event**

Probability

**Know that if the probability of an event is p, the probability of it not occurring is 1-p**

Probability

**Compare experimental and theoretical probabilities**

Statistics

**Extract data and interpret frequency tables**

Statistics

**Find the modal class for a small set of grouped discrete data**

Statistics

**Use information provided to complete a two-way table**

Statistics

**Produce pie-charts**

Statistics

**Compare two simple distributions using the range and the median**

Statistics

**Calculate the mean from a simple frequency table**

Statistics

**Compare two simple distributions using the mean**

Statistics

**Interpret data from simple compound and comparative bar charts**

Statistics

**find the range and modal class interval from grouped data**

Statistics

**Calculate the interval from grouped data containing the median**

Statistics

**Estimate the mean from a grouped frequency table**

Geometry and measures

**Identify interior and exterior angles in a shape**

Geometry and measures

**Recognise and use vertically opposite angles**

Geometry and measures

**Derive and use the fact that the exterior angle of a triangle is equal to the sum of the two opposite interior angles**

Geometry and measures

**Calculate the surface area of simple cuboids (without use of nets)**

Geometry and measures

**Use the basic congruence criteria for triangles (SSS, SAS, ASA, RHS)**

Geometry and measures

**Begin to use plans and elevations**

Geometry and measures

**Solve simple problems involving units of measurement in the context of length and area**

Geometry and measures

**Draw or complete diagrams with a given number of lines of symmetry**

Geometry and measures

**Draw or complete diagrams with a given order of rotational symmetry**

Geometry and measures

**Recognise and visualise the rotational symmetry of a 2-D shape**

Geometry and measures

**Solve geometric problems using side and angle properties of equilateral and isosceles triangles**

Geometry and measures

**Solve simple geometrical problems using properties of quadrilaterals**

Geometry and measures

**Give a bearing between 2 points**

Ratio, proportion and rates of change

**Express the division of a quantity into a number of parts as a ratio**

Ratio, proportion and rates of change

**Convert between simple metric units.**

Ratio, proportion and rates of change

**Express one number as a fraction of another**

Ratio, proportion and rates of change

**Divide a quantity into two parts in a given ratio, where ratio given in ratio notation**

Ratio, proportion and rates of change

**Use percentages to compare simple proportions**

Ratio, proportion and rates of change

**Express one given number as a percentage of another**

Ratio, proportion and rates of change

**Find a percentage of a quantity using a multiplier**

Ratio, proportion and rates of change

**Interpet percentages and percentage change as a fraction or a decimal**

Ratio, proportion and rates of change

**Use ratio notation**

Ratio, proportion and rates of change

**Reduce a ratio to its simplest form**

Number

**Add and subtract simple fractions with denominators of any size**

Number

**Multiply a fraction by an integer**

Number

**Be able to multiply any number by 0.1 and 0.01**

Number

**Be able to divide any number by 0.1 and 0.01**

Number

**Add and subtract up to 3 fractions mixing both addition and subtraction into the calculation, with denominators less than or equal to 12 and using the LCM denominator in the calculation - the answer can be a mixed number**

Number

**Add mixed number fractions without common denominators, where the fraction parts add up to more than 1**

Number

**Subtracting mixed fractions**

Number

**work interchangeably with terminating decimals and their corresponding fractions ( such as 3.5 and 7/2 or 0.375 or 3/8)**

Number

**Learn fractional equivalents to key recurring decimals e.g. 0.333333..., 0.66666666..., 0.11111... and by extension 0.222222...**

Number

**Calculate fractions of quantities and measurements (fraction answers)**

Algebra

**Substitute positive and negative integers into simple formulae**

Algebra

**Write expressions to solve geometric problems**

Algebra

**use graphs to solve distance-time problems.**

Algebra

**Interpret information from a complex real life graph (fixed charge/unit cost), read values and discuss trends**

Algebra

**Find the coordinates of points identified by geometrical information in 2D ( all four quadrants) for simple shapes e.g. squares and rectangles**

Algebra

**Plot and draw graphs of straight lines using a table of values**

Algebra

**Begin to use linear expressions to describe the nth term in a two-step arithmetic sequence (e.g. nth term is 3n + 1 or n/2 ? 5)**

Probability

**Estimate the number of times an event will occur, given the probability and the number of trials**

Probability

**Apply probabilities from experimental data to a different experiment in simple situations (only looking at one outcome) - how many successes would you expect?**

Probability

**Identify all mutually exclusive outcomes for successive events**

Probability

**Record outcomes of events in tables and grids**

Probability

**Find the probability of an event happening using relative frequency**

Probability

**Write probabilities in words, fractions, decimals and percentages**

Probability

**Work out probabilities from frequency tables**

Probability

**Work out probabilities from two-way tables**

Statistics

**Interpret and/or compare bar graphs and frequency diagrams which are misleading (with false origins, different scales etc.)**

Statistics

**Design a question for a questionnaire and critiques**

Statistics

**Produce grouped frequency tables for continuous data**

Statistics

**Construct complex bar graphs (should be compound)**

Statistics

**Interpret a scatter graph**

Geometry and measures

**Identify alternate and corresponding angles on parallel lines and their values.**

Geometry and measures

**Solve harder problems using properties of angles, of parallel and intersecting lines, and of triangles and other polygons - by looking at several shapes together**

Geometry and measures

**Know the formulae for the volume of cube and a cuboid**

Geometry and measures

**Use a formula to calculate the area of parallelograms**

Geometry and measures

**Use straight edge and compasses to construct the mid point and perpendicular bisector of a line segment**

Geometry and measures

**Know the names of parts of a circle**

Geometry and measures

**Draw a circle given the radius or diameter**

Ratio, proportion and rates of change

**Use the unitary method to solve simple word problems involving ratio and direct proportion**

Ratio, proportion and rates of change

**Divide a quantity into more than two parts in a given ratio**

Ratio, proportion and rates of change

**Use a ratio to find one quantity when the other is known**

Ratio, proportion and rates of change

**Use proportional reasoning to solve a problem**

Ratio, proportion and rates of change

**Fine the percentage profit or loss**

Number

**Identify upper and lower bounds for rounding of discrete and continuous data**

Number

**Write numbers as a decimal number of millions or thousands, e.g. 23 600 000 as 23.6 million**

Number

**Divide an integer by a fraction**

Number

**Understand which part of an expression is raised to a power by knowing the difference between 3 × (7 + 8)² and 3² × (7 + 8) and (3 × (7 + 8))²**

Number

**Calculate average speed, distance, time - in mph as well as metric measures**

Number

**Understand the effect of multiplying or dividing any number between 0 and 1**

Number

**Multiply simple fractions (proper and improper) -**

Number

**Divide simple fractions (proper and improper)**

Number

**Use halving and doubling strategies on fractions to find decimal equivalents of other fractions, e.g. 1/4 = 0.25 so 1/8 is half of 0.25 etc. Original fact is given**

Number

**Establish multiplying and dividing index laws**

Number

**index laws for powers of 1 and 0**

Number

**, x², ?x, memory, xy, x1/y, brackets**

Algebra

**Substitute positive integers into expressions involving small powers (up to 3)**

Algebra

**Expand single brackets**

Algebra

**Expand two single brackets and simplify**

Algebra

**Manipulate expressions by taking out common factors, not necessarily the highest e.g. 4x + 8 = 2(2x + 4)**

Algebra

**Change the subject of a formula in one step e.g. y = x + 4**

Algebra

**Begin to consider the features of graphs of simple linear functions, where y is given explicitly in terms of x, e.g. y = x, y = 2x, y = 3x are all straight lines that pass through the origin, vary in steepness depending on the function**

Algebra

**Draw velocity-time graphs**

Algebra

**Find the coordinates of the midpoint of a line from a given graph**

Algebra

**Recognise that equations of the form y = mx + c correspond to straight-line graphs in the coordinate plane**

Algebra

**Write down whole number values that satisfy an inequality**

Algebra

**Find a specific term in the sequence using position-to-term rules**

Probability

**complete a probability tree diagram based on given information (no more than 3 branches per event)**

Probability

**Use tree diagrams to calculate the probability of two independent events**

Statistics

**Produce ordered back-to-back stem and leaf diagrams**

Statistics

**Recognise when it is appropriate to use mean, median or mode in more complex cases (put in extreme values)**

Statistics

**Construct and use frequency polygons to compare sets of data**

Statistics

**Identify and explain anomalies (outliers) in a data set**

Statistics

**Recognise types of quantitative and qualitative data**

Statistics

**Understand what is meant by a sample and a population**

Statistics

**Understand primary and secondary data sources**

Geometry and measures

**Identify co-interior angles and their values.**

Geometry and measures

**Calculate exterior angles of any polygon using the sum is 360°**

Geometry and measures

**Calculate the interior angles of polygons**

Geometry and measures

**Use a formula to calculate the area of trapezia**

Geometry and measures

**Use the formula for the circumference of a circle**

Geometry and measures

**Use the formulae for area of a circle, given the radius or diameter**

Geometry and measures

**Use straight edge and compasses to construct the bisector of an angle**

Geometry and measures

**Use straight edge and compasses to construct a triangle given three sides (SSS)**

Geometry and measures

**Construct an equilateral triangle**

Geometry and measures

**Construct a regular hexagon inside a circle**

Geometry and measures

**Begin to use the trigonometric ratios to find the size of an angle in a right-angled triangle**

Geometry and measures

**Enlarge 2-D shapes, given a centre of enlargement and a positive whole number scale factor**

Geometry and measures

**Find the centre of enlargement**

Ratio, proportion and rates of change

**Write ratios in the form 1: m or m: 1**

Ratio, proportion and rates of change

**Know rough metric equivalents of imperial measures in daily use (feet, miles, pounds, pints, gallons)**

Ratio, proportion and rates of change

**Convert between area measures (e.g. mm² to cm², cm² to m², and vice versa)**

Ratio, proportion and rates of change

**Convert between metric measures of volume and capacity eg 1 cm³ = 1 ml**

Ratio, proportion and rates of change

**Use a unitary method, e.g. if £40 is 60%, find 1% by dividing by 60 and then 100% by multiplying by 100. Give them the scaffolding to answer the question**

Ratio, proportion and rates of change

**Use percentages in real life simple interest, income tax calculations**

Ratio, proportion and rates of change

**Use and interpret maps, using proper map scales (1 : 25 000)**

Number

**Find the reciprocal of simple numbers/fractions mentally, e.g. 10 and 1/10, 1/3 and 3 etc. Know that a number multiplied by its reciprocal is 1**

Number

**Understand and use compound measures: density; pressure; speed**

Number

**Use the index laws to include negative power answers**

Number

**Convert between currencies**

Number

**Write numbers greater than 10 in standard index form**

Algebra

**Use systematic trial and improvement to find the approximate solution to one decimal place of equations such as x³ = 29**

Algebra

**solve equations that involves multiplying out brackets by a negative number (e.g. 4(2a - 1) = 32 - 3(2a - 2))**

Algebra

**Multiply out double brakets and collect like terms**

Algebra

**Substitute positive and negative integers into linear expressions and expressions involving powers**

Algebra

**Factorise to one bracket by taking out the highest common factors for all terms e.g. 2x²y + 6xy² = 2xy(x + 3y)**

Algebra

**Find an unknown where it is not the subject of the formula and where an equation must be solved.**

Algebra

**Identify parallel lines from their equations**

Algebra

**Generate points and plot graphs of simple quadratic functions**

Algebra

**Construct a table of values, including negative values of x for a function such as y = ax²**

Algebra

**Recognise that linear functions can be rearranged to give y explicitly in terms of x e.g. rearrange y + 3x - 2 = 0 in the form y = 2 - 3x**

Algebra

**Solve simple linear inequalities in one variable and represent the solution on a number line**

Probability

**Record outcomes of events in a Venn Diagram**

Statistics

**Find the median, mode and range from a stem and leaf diagram**

Statistics

**Understand that the frequency represented by corresponding sectors in two pie charts is dependent upon the total populations represented by each of the pie charts**

Statistics

**Know the definition and methods of random sampling**

Statistics

**Scattergraphs - Use a line of best fit, or otherwise, to predict values of one variable given values of the other variable**

Geometry and measures

**Calculate the volume of prisms**

Geometry and measures

**Calculate the surface area of prisms**

Geometry and measures

**Calculate the lengths and areas given the volumes in right prisms**

Geometry and measures

**Calculated volumes in cylinders**

Geometry and measures

**Find the perimeters and areas of semicircles and quarter circles**

Geometry and measures

**Use the information given about the length of sides and sizes of angles to determine whether triangles are congruent**

Geometry and measures

**Use straight edge and compass to construct the perpendicular from a point on a line segment**

Geometry and measures

**Understand loci about a point, line and corner.**

Geometry and measures

**Construct angles of 60°, 90°, 30°, 45°**

Geometry and measures

**Know the formula for Pythagoras' theorem and use to find the hypotenuse**

Geometry and measures

**describe and Use vector notation for translations**

Geometry and measures

**describe an enlargement**

Geometry and measures

**Describe a rotation transformation**

Geometry and measures

**Describe reflections transformaion**

Ratio, proportion and rates of change

**Use algebraic methods to solve problems involving variables in direct proportion**

Ratio, proportion and rates of change

**Use expressions of the form y ? 1/x**

Ratio, proportion and rates of change

**Calculate compound interest**

Ratio, proportion and rates of change

**Use measures in ratio and proportion problems (best value)**

Number

**Multiply and divide simple fractions (mixed) -**

Number

**Calculate with roots (surds - exact values)**

Number

**Write numbers less than 10 in standard index form**

Number

**Order numbers written in standard index form**

Number

**Add and subtract in standard form**

Number

**Multiply and divide numbers in standard form**

Algebra

**Find the equation of a straight-line from its graph**

Algebra

**Recognise that when the linear and inverse of a linear function such as y = 2x, y = 3x are plotted, they are a reflection in the line y = x**

Algebra

**Interpret distance-time graphs and calculate the speed of individual sections, total distance and total time**

Algebra

**Interpret gradient as rate of change in distance-time and speed-time graphs, containers emptying and filling and unit price graphs**

Algebra

**Identify and interpret roots, intercepts and turning points of a quadratic graph**

Algebra

**Given the coordinates of points A and B, calculate the length of AB**

Algebra

**Plot and draw graphs of straight lines WITHOUT using a table of values (use intercept and gradient)**

Algebra

**Recognise a quadratic function from its equation and explain the shape of it's graph**

Algebra

**Solve more complex linear inequalities in one variable and represent the solution on a number line**

Algebra

**Use algebra to support proofs e.g. show that the volume of a cube with side lengths of (2x - 1)cm is (8x³ - 12x² + 6x - 1)cm³**

Algebra

**Identify which terms cannot be in a sequence**

Algebra

**Recognise and use simple geometric progressions (rn where n is an integer and r is a rational number number**

Algebra

**By looking at the spatial patterns of triangular numbers, deduce that the nth term is 1/2n(n + 1)**

Algebra

**Solve linear/linear simultaneous equations graphically**

Algebra

**Solve simultaneous equations where neither or one equation needs multiplying**

Algebra

**Set up and solve a pair of simultaneous equations in two variables**

Algebra

**Solve simultaneous equations representing a real-life situation**

Probability

**Use tree diagrams to calculate the probability of two dependent events**

Statistics

**Construct cumulative frequency tables and draw the graph**

Statistics

**Interpret box plots to find median, quartiles, range and interquartile range**

Statistics

**Produce box plots from raw data and identify outliers when given quartiles and median**

Geometry and measures

**Find the surface area and volumes of compound solids constructed from cubes, cuboids, cones, pyramids, spheres, hemispheres, cylinders**

Geometry and measures

**Recognise the formulae for length of arcs in a circle.**

Geometry and measures

**Recognise the formulae for area of sectors in a circle.**

Geometry and measures

**Use simple examples of the relationship between enlargement and areas and volumes of simple shapes and solids**

Geometry and measures

**Know the formula for Pythagoras' theorem and use to find a shorter side**

Geometry and measures

**Use Trigonometry to find unknown sides of a right angled triangle**

Geometry and measures

**Use Trigonometry to find missing angles of a right angled triangle**

Geometry and measures

**Add and Subtract vectors**

Algebra

**Change the subject of a complex formula that involves fractions, e.g. make u or v the subject of the formula 1/v + 1/u =1/t**

Algebra

**Find approximate solutions of a quadratic equation from the graph of the corresponding quadratic function**

Algebra

**Recognise, sketch and interpret graphs of simple cubic functions**

Algebra

**Recognise, sketch and interpret reciprocal graphs**

Algebra

**Solve linear inequalities in two variables graphically**

Algebra

**Answer simple proof and 'show that' questions using consecutive integers (n, n+ 1), squares a², b², even numbers 2n, and odd numbers 2n + 1**

Algebra

**Continue a quadratic sequence and use the nth term to generate terms**

Algebra

**Cube a linear expression and simplify**

Statistics

**Interpret cumulative frequency graphs**

Statistics

**Compare the measures of spread between a pair of box plots/cumulative frequency graphs**

Geometry and measures

**Prove and use the fact that the angle in a semicircle is a right angle ;**

Geometry and measures

**Prove and use the fact that opposite angles of a cyclic quadrilateral sum to 180°**

Geometry and measures

**Prove and use the fact that angles in the same segment are equal**

Geometry and measures

**Prove and use facts about the angle subtended at the centre and at the circumference;**

Geometry and measures

**Know that the tangent at any point on a circle is perpendicular to the radius at that point.**

Geometry and measures

**Find angles of elevation and angles of depression**

Ratio, proportion and rates of change

**Use expressions of the form y ? x²**

Number

**Use the product rule for counting (i.e. if there are m ways of doing one task and for each of these, there are n ways of doing another task, then the total number of ways the two tasks can be done is m × n ways)**

Number

**Convert a recurring decimal to a fraction in simple cases**

Algebra

**Deduce turning points by completing the square**

Algebra

**Sketch a graph of a quadratic by factorising, identifying roots and y-intercept, turning point**

Algebra

**Find the equation of the line through two given points**

Algebra

**Find the equation of the line through one point with a given gradient**

Algebra

**Know that a line perpendicular to the line y = mx + c, will have a gradient of -1/m**

Algebra

**Finding the equation of a circle on a graph **

Algebra

**Simplify and manipulate algebraic expressions involving surds and algebraic fractions**

Algebra

**Find approximate solutions to simultaneous equations formed from one linear function and one non-linear ( quadratic or circle) function using a graphical approach**

Probability

**Use Venn diagrams to calculate conditional probability**

Statistics

**Stratified sampling - know the definition and state in terms of proportion, fraction, percentage or ratio**

Geometry and measures

**Prove and use the alternate segment theorem**

Geometry and measures

**Understand, recall and use Pythagoras' theorem in 3-D problems**

Geometry and measures

**Enlarge 2D shapes, given a negative, fractional scale factor**

Geometry and measures

**Know and apply the sine rule a/sin A = b/sin B = c/sin C to find unknown lengths and angles**

Geometry and measures

**know and apply the cosine rule a² = b² + c² – 2bc cos A to find unknown lengths**

Geometry and measures

**Calculate the area of a triangle given the length of two sides and the included angle**

Geometry and measures

**Work out the magnitude of a vector**

Algebra

**Solve a quadratic equation by completing the square**

Algebra

**Solve quadratic equations using the formula**

Number

**Calculate the upper and lower bounds of 2-D measurements e.g. area**

Number

**Write (3 - ?3)² in the form a + b?3**

Number

**Rationalise a denominator**

Algebra

**Apply to the graph of y = f(x) the transformations**

**y = f(x) + a**

**y = f(ax)**

**y = f(x + a)**

**y = af(x) for linear, quadratic**

Algebra

**Apply to the graph of y = f(x) the transformations cubic, sine and cosine functions f(x)**

Algebra

**Find the gradient of the radius that meets the circle at a given point**

Algebra

Algebra

**Solve exactly, by elimination of an unknown, linear/x² + y² = r² simultaneous equations**

Statistics

**Construct and interpret histograms from class intervals with unequal width and From a histogram complete a grouped frequency table**

Geometry and measures

**know and apply the cosine rule a² = b² + c² – 2bc cos A to find unknown angles**

Algebra

**Interpret the gradient of linear or non-linear graphs, and estimate the gradient of a quadratic or non-linear graph at a given point by sketching the tangent and finding its gradient**

Algebra

**Interpret coodinates for trigonometric graphs**

Algebra

**Plot graphs of the exponential function y = abx for integer values of x and simple positive values of a and b.**

Algebra

**Use iteration with simple converging sequences**

Algebra

**Recursive Iteration**

Geometry and measures

**Solve problems involving more complex shapes and solids, including segments of circles and frustums of cones**

Geometry and measures

**Find the area of a segment of a circle given the radius and length of the chord**

Geometry and measures

**Solve problems for areas and volumes of similar shapes and solids**

Geometry and measures

**Use the trigonometric ratios to solve 3-D problems**

Geometry and measures

**Apply vector methods for simple geometrical proofs**

"The eMathsMaster course has helped to build confidence with my own subject knowledge and maths specific pedagogy. The course provides effective and interesting ways to teach pupils new skills, ensuring they are engaged and understand the fundamentals of the subject. eMathsMaster is simple to use and very accessible and has been a great help when it comes to planning interactive and engaging lessons."

"As a non-specialist, eMathsMaster has given me more confidence with the mathematics, along with teaching ideas to use with my classes. Of the Year 11 pupils that have been introduced to the pupil version, several have really engaged with the course since we introduced it. I believe that this will really benefit the pupil in that they can monitor their own progress which also builds confidence. It is an intuitive and easy to use platform. I highly recommend it."