Lessons

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If you need further practice on topics, then each topic has a link to the relevant skills and problem solving workbooks
IDLessonRecommended Skills WorkbooksRecommended Problem Solving WorkbooksUnitLevelView Lesson Content
1Expression, Equation, Identity and FormulaAlgebraFoundation, KS3View
2Simplifying ExpressionsAlgebraFoundation, KS3View
3Change the subject of a Formula (Part 1)AlgebraFoundation, KS3View
4Co-ordinates – reading and plotting in all quadrantsAlgebraFoundation, KS3View
5Substitute Numbers into Formula    AlgebraFoundation, KS3View
6Factorising Expressions    AlgebraFoundation, KS3View
7Substitute Numbers into Expressions    AlgebraFoundation, KS3View
8Expanding Single Brackets    AlgebraFoundation, KS3View
9Re-arranging & solving simple one step equationsAlgebraFoundation, KS3View
10Double Function MachinesAlgebraFoundation, KS3View
11Forming Expressions, Equations or Formula    AlgebraFoundation, Higher, KS4View
12Function MachinesAlgebraFoundation, KS3View
13Solve inequalities with one or two variablesAlgebraFoundation, Higher, KS4View
14Solving quadratic equations by factorising (Part 1)AlgebraFoundation, Higher, KS4View
15Trial and Improvement to find approximate solutions of equationsAlgebraFoundation, Higher, KS4View
16Change the subject of a Formula (Part 2) – with powersAlgebraFoundation, Higher, KS4View
17Find the gradient of a straight line graph using 2 co-ordinatesAlgebraFoundation, Higher, KS4View
18Finding the mid-point of a lineAlgebraFoundation, Higher, KS4View
19Find the length of a line (using Pythagoras)AlgebraFoundation, Higher, KS4View
20Solve equations that include bracketsAlgebraFoundation, Higher, KS4View
21Functions (Part 3) – Inverse functionsAlgebraHigher, KS4View
22Factorising Quadratics into 2 Brackets with coefficients of x^2 greater than 1AlgebraHigher, KS4View
23Solve equations that include powersAlgebraFoundation, Higher, KS4View
24Solving Fractional equations (Part 1) – LinearAlgebraFoundation, Higher, KS4View
25Solve equations with unknown on both sides including negative numbersAlgebraFoundation, Higher, KS4View
26Solve two step equations with unknown on one side and involving fractions    AlgebraFoundation, Higher, KS4View
27Use elimination to solve simultaneous equationsAlgebraFoundation, Higher, KS4View
28Use substitution to solve simultaneous equationsAlgebraFoundation, Higher, KS4View
29Using number sequences & describe a rule of a sequenceAlgebraFoundation, Higher, KS4View
30Find & Use the nth term expression for a sequenceAlgebraFoundation, Higher, KS4View
31Using the nth term expression of a quadratic sequenceAlgebraFoundation, Higher, KS4View
32An Equation of a line – Gradient, Y-intercept and y=mx+cAlgebraFoundation, Higher, KS4View
33Expanding Double BracketsAlgebraFoundation, Higher, KS4View
34Drawing Straight Line GraphsAlgebraFoundation, Higher, KS4View
35Factorising Quadratics into 2 BracketsAlgebraFoundation, Higher, KS4View
36Drawing Straight Line Graphs to solve linear simultaneous equations on graphsAlgebraFoundation, Higher, KS4View
37Inequalities on a Number LineAlgebraFoundation, Higher, KS4View
38Solving quadratic inequalitiesAlgebraHigher, KS4View
39Solving quadratic equations by factorising (Part 2) – with coefficients > 1AlgebraHigher, KS4View
40Solving quadratic equations by using the formulaAlgebraHigher, KS4View
41Perpendicular gradientsAlgebraHigher, KS4View
42Equations of parallel and perpendicular linesAlgebraHigher, KS4View
43Change the subject of a Formula (Part 3) – by factorisingAlgebraHigher, KS4View
44Factorising using the difference of two squaresAlgebraHigher, KS4View
45Find the equation of a straight line from gradient and co-ordinatesAlgebraHigher, KS4View
46Geometric sequence (Common Ratio)AlgebraHigher, KS4View
47Solving quadratic equations by completing the squareAlgebraHigher, KS4View
48Completing the square of quadratic expressions (Part 1)AlgebraHigher, KS4View
49Completing the square of quadratic expressions (Part 2) – with higher coefficients of x^2AlgebraHigher, KS4View
50Working with Algebraic Fractions (Part 1 – Adding and Subtracting)AlgebraHigher, KS4View
51Working with Algebraic Fractions (Part 2 – Simplifying by Factorising)AlgebraHigher, KS4View
52Working with Algebraic Fractions (Part 3 – Multiplying and Dividing)AlgebraHigher, KS4View
53Find the nth term expression for a quadratic sequenceAlgebraHigher, KS4View
54Circle equations in the form x² + y² = r²AlgebraHigher, KS4View
55Equation of a Tangent to a circleAlgebraHigher, KS4View
56IterationAlgebraHigher, KS4View
57Solving Quadratic Simultaneous EquationsAlgebraHigher, KS4View
58Turning PointsAlgebraHigher, KS4View
59Triple BracketsGeometryFoundation, KS3View
60Solving Fractional Equations (Part 2) – QuadraticAlgebraHigher, KS4View
61Solve quadratic and linear graphs simultaneouslyAlgebraHigher, KS4View
62Exponential Growth and DecayAlgebraHigher, KS4View
63Finding an exponential equation from a graphAlgebraHigher, KS4View
64ProofsAlgebraHigher, KS4View
65Functions (Part 1) – notationAlgebraHigher, KS4View
66Functions (Part 2) – Composite functionsAlgebraHigher, KS4View
67Nets, plans and elevationsGeometryFoundation, KS3View
68Symmetry and rotational symmetry of shapesGeometryFoundation, KS3View
69Angles in Triangles and QuadrilateralsGeometryFoundation, KS3View
70Area of ParallelogramsGeometryFoundation, KS3View
71Area of TrapeziumsGeometryFoundation, KS3View
72Area of RectanglesGeometryFoundation, KS3View
73Area of Compound ShapesGeometryFoundation, KS3View
74Area of TrianglesGeometryFoundation, KS3View
75Missing angles in right angles, straight lines and around a pointGeometryFoundation, Higher, KS4View
76Parallel and Perpendicular LinesGeometryFoundation, Higher, KS3View
77Types of angles    GeometryFoundation, KS3View
78Types of trianglesGeometryFoundation, KS3View
79Circles – know the parts of a circleGeometryFoundation, KS3View
80Perimeter of shapesGeometryFoundation, KS3View
81Types of quadrilaterals    GeometryFoundation, KS3View
82Basic congruent shapesGeometryFoundation, KS3View
83Pythagoras’ Theorem    GeometryFoundation, Higher, KS4View
84Understand and use translations, using vectors and describing translationsGeometryFoundation, Higher, KS4View
85Reflections and describing reflections in mirror linesGeometryFoundation, Higher, KS4View
86Calculate the length of an arc and area of a sectorGeometryFoundation, Higher, KS4View
87Find the surface area of shapes of cubes and cuboids by using the formulae for rectanglesGeometryFoundation, Higher, KS4View
88Enlargements – Scale FactorsGeometryFoundation, Higher, KS4View
89Enlargements – Enlargements from a pointGeometryFoundation, Higher, KS4View
90Enlargements – Describing enlargements (including finding the centre – positive scale factors)GeometryFoundation, Higher, KS4View
91Find the Surface Area of Prisms and CylindersGeometryFoundation, Higher, KS4View
92Find the Volume of Prisms and Cylinders    GeometryFoundation, Higher, KS4View
93Rotations and describing rotationsGeometryFoundation, Higher, KS4View
94Solve simple vector problemsGeometryFoundation, Higher, KS4View
95Use the formula to calculate the volume of a cuboidGeometryFoundation, Higher, KS4View
96Calculate the sum of interior angles in a polygon and external angles add up to 360 degrees, and how shapes tessellate'Number'Foundation, Higher, KS4View
97Circles – calculate the circumference of a circleGeometryFoundation, Higher, KS4View
98Circles – calculate the area of a circleGeometryFoundation, Higher, KS4View
99Understand vector notation, and be able to add, subtract and multiply vectorsGeometryFoundation, Higher, KS4View
100Compound Measure – SpeedGeometryFoundation, Higher, KS4View
101Compound Measure – PressureGeometryFoundation, Higher, KS4View
102Compound Measure – DensityGeometryFoundation, Higher, KS4View
103Vertically opposite anglesGeometryFoundation, Higher, KS4View
104Angles on Parallel Lines – Alternate anglesGeometryFoundation, Higher, KS4View
105Angles on Parallel Lines – Co-interior anglesGeometryFoundation, Higher, KS4View
106Angles on Parallel Lines – Corresponding anglesGeometryFoundation, Higher, KS4View
107Converting unitsGeometryFoundation, Higher, KS4View
108Interior and exterior angles and deducing the number of sides of a regular polygon, given one of its anglesGeometryFoundation, Higher, KS4View
109Understand trigonometric relationships in right angled triangles and use it to find missing sides in 2D problemsGeometryFoundation, Higher, KS4View
110Use trigonometry to find the angle between 2 linesGeometryFoundation, Higher, KS4View
111Algebra in ShapesGeometryFoundation, Higher, KS4View
112Speed / Distance & Time GraphsGeometryFoundation, Higher, KS4View
113Conversion GraphsGeometryFoundation, Higher, KS4View
114Constructions – PerpendicularsGeometryFoundation, Higher, KS4View
115Constructions – Angle BisectorsGeometryFoundation, Higher, KS4View
116LociGeometryFoundation, Higher, KS4View
117Similar shapes / similarityGeometryFoundation, Higher, KS4View
118Scale drawingsGeometryFoundation, Higher, KS4View
119Calculate the area of a segment using SineGeometryHigher, KS4View
120Apply Pythagoras’ theorem and Trigonometry in 3D problemsGeometryHigher, KS4View
121Find the surface area of conesGeometryHigher, KS4View
122Find the volume of conesGeometryHigher, KS4View
123Finding the surface area of pyramidsGeometryHigher, KS4View
124Find the volume of pyramidsGeometryHigher, KS4View
125Find the volumes of frustumsGeometryHigher, KS4View
126Enlargements – using a negative scale factorGeometryHigher, KS4View
127Enlargements – Finding the centre of enlargements (including negatives)GeometryHigher, KS4View
128Understand how to solve more complex vector problemsGeometryHigher, KS4View
129Find the surface area and volume of spheres and hemispheresGeometryHigher, KS4View
130Calculate the area of a triangle using A = ½ ab SinC formulaGeometryHigher, KS4View
131Circle Theorems Rules – Part 1 to 3. Angles at the centre, cyclic quadrilaterals and angles in a semi circleGeometryHigher, KS4View
132Circle Theorems Rules – Part 4 – 6. Angles subtended by the same arc, Tangents and Alternate segment theoremGeometryHigher, KS4View
133Circle Theorems Proof – Part 1 – Angles at the centreGeometryHigher, KS4View
134Circle Theorems Proof – Part 2 – Cyclic quadrilateralsGeometryHigher, KS4View
135Circle Theorems Proof – Part 3 – Angles in a semi circleGeometryHigher, KS4View
136Circle Theorems Proof – Part 4 – Angles subtended by the same arcGeometryHigher, KS4View
137Circle Theorems Proof – Part 5 – TangentsGeometryHigher, KS4View
138Circle Theorems Proof – Part 6 – Alternate segment theoremGeometryHigher, KS4View
139Use the cosine rule to solve 2D problemsGeometryHigher, KS4View
140Use the sine rule to solve 2D problemsGeometryHigher, KS4View
141Find the angle of elevation and the angle of depressionGeometryHigher, KS4View
142To be able to calculate / know exact trig ratios    GeometryHigher, KS4View
143Surface Area of Compound 3D ShapesGeometryHigher, KS4View
144Volume of Compound 3D ShapesGeometryHigher, KS4View
145Converting units of area and volume    GeometryHigher, KS4View
146Bearings    GeometryFoundation, Higher, KS4View
147Similarity in shapes (Area and Volume)GeometryHigher, KS4View
148CongruenceGeometryHigher, KS4View
149Graph TransformationsGeometryHigher, KS4View
150Trigonometric GraphsGeometryHigher, KS4View
151Graph TypesGeometryHigher, KS4View
152Numbers in and from Words and Place valueNumberFoundation, KS3View
153Ordering IntegersNumberFoundation, KS3View
154Ordering Fractions, Decimals and PercentagesNumberFoundation, KS3View
155Multiplying and dividing by Powers of 10NumberFoundation, KS3View
156Adding whole and decimal numbersNumberFoundation, KS3View
157Number operations (BIDMAS)NumberFoundation, KS3View
158Simple PercentagesNumberFoundation, KS3View
159Converting between Fractions and DecimalsNumberFoundation, KS3View
160Converting between Decimals and PercentagesNumberFoundation, KS3View
161Converting between improper fractions and mixed numbersNumberFoundation, KS3View
162Converting between Fractions & PercentagesNumberFoundation, KS3View
163Division using the bus stop method (including decimals)NumberFoundation, KS3View
164Basic Venn DiagramsNumberFoundation, Higher, KS3View
165Factors and Highest Common FactorNumberFoundation, KS3View
166Multiples and Lowest Common MultipleNumberFoundation, KS3View
167Multiplication using standard methodsNumberFoundation, KS3View
168Indices notations, powers and roots    NumberFoundation, KS3View
169Rounding to Integers (whole numbers), 10s, hundreds and decimal placesNumberFoundation, KS3View
170Estimating by rounding to significant figures    NumberFoundation, KS3View
171Equivalent Fractions & Simplifying FractionsNumberFoundation, KS3View
172Subtracting whole and decimal NumbersNumberFoundation, KS3View
173Negative numbersNumberFoundation, KS3View
174Money ProblemsNumberFoundation, Higher, KS3View
175Types of NumbersNumberFoundation, Higher, KS3View
176Using a CalculatorNumberFoundation, Higher, KS3View
177Add and Subtract FractionsNumberFoundation, Higher, KS3View
178Increasing and Decreasing by a PercentageNumberFoundation, Higher, KS3View
179Percentages of a quantity with multiplier (leading to increasing and decreasing)NumberFoundation, Higher, KS3View
180Compound InterestNumberFoundation, Higher, KS4View
181Similar or related calculationsNumberFoundation, Higher, KS3View
182Simple InterestNumberFoundation, Higher, KS3View
183One number as a percentage of another    NumberFoundation, Higher, KS4View
184Standard FormNumberFoundation, Higher, KS4View
185Using Venn Diagrams to find LCM and HCFNumberFoundation, Higher, KS4View
186Reverse Percentage CalculationsNumberFoundation, Higher, KS4View
187Multiplying and Dividing FractionsNumberFoundation, Higher, KS3View
188Multiplying and Dividing DecimalsNumberFoundation, KS3View
189Fractions of quantitiesNumberFoundation, Higher, KS3View
190Negative Indices    NumberFoundation, Higher, KS4View
191Unitary Ratios – calculating best valueNumberFoundation, Higher, KS4View
192RatiosNumberFoundation, Higher, KS4View
193Combining RatiosNumberFoundation, Higher, KS4View
194Recurring DecimalsNumberFoundation, Higher, KS4View
195Calculating Harder Percentages without a calculatorNumberFoundation, Higher, KS3View
196Exchange ratesNumberFoundation, Higher, KS4View
197Product of Prime FactorsNumberFoundation, Higher, KS4View
198ReciprocalsNumberFoundation, Higher, KS4View
199Laws of IndicesNumberFoundation, Higher, KS4View
200Time TablesNumberFoundation, Higher, KS4View
201Fractional (combined with negative) IndicesNumberHigher, KS4View
202Accuracy with BoundsNumberHigher, KS4View
203Finding upper and lower bounds with problems    NumberHigher, KS4View
204Converting numbers to use laws of indicesNumberHigher, KS4View
205Calculations with Surds – expanding bracketsNumberHigher, KS4View
206Rationalising the denominator (surds)NumberHigher, KS4View
207Percentage errors in BoundsNumberHigher, KS4View
208Error Intervals and TruncatingNumberHigher, KS4View
209Manipulation and Simplification of Surds (Multiply and Divide Rules)NumberHigher, KS4View
210Direct and Inverse Proportional ChangeNumberHigher, KS4View
211Converting Recurring Decimals to FractionsNumberHigher, KS4View
212Bar chartsStatisticsFoundation, KS3View
213Frequency Tables & Grouping DataStatisticsFoundation, Higher, KS3View
214Calculate medianStatisticsFoundation, Higher, KS3View
215Calculate mean, mode and range (averages)    StatisticsFoundation, Higher, KS3View
216Completing and using two-way tablesStatisticsFoundation, Higher, KS3View
217Dual bar chartsStatisticsFoundation, KS3View
218PictogramsStatisticsFoundation, KS3View
219Frequency polygonsStatisticsFoundation, Higher, KS4View
220Stem and leaf diagramsStatisticsFoundation, Higher, KS3View
221Probability and relative frequencyStatisticsFoundation, Higher, KS3View
222Sample spaces and probabilityStatisticsFoundation, Higher, KS3View
223CombinationsStatisticsFoundation, Higher, KS3View
224QuestionnairesStatisticsFoundation, KS3View
225Cumulative frequency tables and graphsStatisticsFoundation, Higher, KS3View
226Mean calculationsStatisticsFoundation, Higher, KS4View
227Estimating the mean from grouped frequency tablesStatisticsFoundation, Higher, KS4View
228Find the modal class from a grouped frequency tablesStatisticsFoundation, Higher, KS4View
229Find the median class from a grouped frequency tablesStatisticsFoundation, Higher, KS4View
230Calculate mean from a frequency tableStatisticsFoundation, Higher, KS4View
231Calculate the median from frequency tablesStatisticsFoundation, Higher, KS4View
232Calculate the mode from frequency tablesStatisticsFoundation, Higher, KS4View
233Stratified samplingStatisticsFoundation, Higher, KS4View
234Line graphsStatisticsFoundation, Higher, KS4View
235Lines of best fitStatisticsFoundation, Higher, KS4View
236Pie chartsStatisticsFoundation, Higher, KS3View
237Scatter graphs & correlationStatisticsFoundation, Higher, KS4View
238QuartilesStatisticsHigher, KS4View
239Mutually exclusive events        StatisticsHigher, KS4View
240Probability AND/OR RulesStatisticsFoundation, Higher, KS4View
241Venn diagrams        StatisticsFoundation, Higher, KS4View
242Probability treesStatisticsHigher, KS4View
243Box plots (from raw data, or when given the median and quartiles)StatisticsHigher, KS4View
244Histograms with unequal class intervals, using frequency densityStatisticsHigher, KS4View
245Interpreting histograms/frequency density diagramsStatisticsHigher, KS4View
246Measuring and drawing angles with a protractorGeometryFoundation, KS3View
247Inequalites notationNumberFoundation, KS3View
248Measuring with scalesGeometryFoundation, KS3View
249Sum of an arithmetic series (iGCSE)NumberHigher, igcseView
250Differentiation (Part 1) for iGCSE)AlgebraHigher, igcseView
251Differentiation (Part 2) for iGCSE)AlgebraHigher, igcseView
252Differentiation (Part 3) for iGCSE)AlgebraHigher, igcseView
253Intersecting chords and secants (for iGCSE)GeometryHigher, igcseView
254Constructing triangles with a protractor, ruler and compassesGeometryFoundation, KS3View
255Using a ruler to measure and draw accurate linesGeometryFoundation, KS3View
256Time and analogue clocksNumberFoundation, Higher, KS4View
257Inequalities on graphs    AlgebraHigher, KS4View
258Frequency TreesStatisticsFoundation, Higher, KS4View
259Combining ratios and fractionsNumberHigher, KS4View
260Area under a curve and gradient of a curveAlgebraHigher, KS4View