Learning paths
- Lessons
- 121
- Topics
- 120
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Number
14 lessons
- 2 lessonsFreePlace value, ordering and decimal operationsFoundation 1 · Ch 1.2
- Signed arithmetic and number linesFoundation 1 · Ch 1.1
- Operation order, inverses and reciprocalsFoundation 1 · Ch 1.1
- Primes, factor trees, HCF and LCMFoundation 1 · Ch 1.4
- Systematic lists and combinationsFoundation 2 · Ch 13.2
- Integer powers and rootsFoundation 1 · Ch 1.5
- Equivalent fractions and mixed numbersFoundation 1 · Ch 4.1
- Fraction arithmetic and exact answersFoundation 1 · Ch 4.2
- Decimals, fractions and percentagesFoundation 1 · Ch 4.5
- Metric units, money and dimensional conversionFoundation 1 · Ch 8.2
- Estimation and sense checksFoundation 1 · Ch 1
- Rounding, significant figures and error intervalsFoundation 1 · Ch 1
- Standard form and calculator entryFoundation 2 · Ch 18.3
Ratio, proportion and rates of change
10 lessons
- Ratio notation and multiplicative comparisonFoundation 2 · Ch 11.1
- Fractions within ratio problemsFoundation 2 · Ch 11.2
- Sharing quantities and equivalent ratiosFoundation 2 · Ch 11.2
- Scale factors, scale drawings and mapsFoundation 2 · Ch 11.3
- Percentages, changes and multipliersFoundation 1 · Ch 4.7
- Original values, profit and simple interestFoundation 2 · Ch 14.1
- Compound growth and decayFoundation 2 · Ch 14.2
- Direct and inverse proportion: tables and relationshipsFoundation 2 · Ch 11.6
- Speed, density, pressure and unit pricingFoundation 2 · Ch 14.3
- Proportional graphs and rates of changeFoundation 1 · Ch 9.5
Algebra
21 lessons
- Algebraic language and notationFoundation 1 · Ch 2.1
- Substitution and calculator bracketsFoundation 1 · Ch 2.3
- Like terms and algebraic index rulesFoundation 1 · Ch 2.2
- Single brackets and common factorsFoundation 1 · Ch 2.5
- Expanding two binomialsFoundation 2 · Ch 16.1
- Monic quadratics and difference of squaresFoundation 2 · Ch 16.4
- Formulae and changing the subjectFoundation 1 · Ch 2.4
- Identities and algebraic reasoningFoundation 2 · Ch 20.6
- Input/output and inverse number machinesFoundation 1 · Ch 2
- Linear equations, including both sidesFoundation 1 · Ch 5.1
- Forming equations from situationsFoundation 1 · Ch 2.7
- One-variable linear inequalitiesFoundation 1 · Ch 5.4
- Two linear simultaneous equationsFoundation 2 · Ch 20.3
- Solving monic quadratics by factorisationFoundation 2 · Ch 16.5
- Coordinates and geometric problems on axesFoundation 1 · Ch 9.1
- Plotting lines, gradient and interceptFoundation 1 · Ch 9.2
- Equations of lines and parallel linesFoundation 1 · Ch 9.4
- Quadratic graphs, roots and turning pointsFoundation 2 · Ch 16.2
- Cubic, reciprocal and contextual graphsFoundation 1 · Ch 9.5
- Term rules, special and geometric sequencesFoundation 1 · Ch 5.7
- The nth term of a linear sequenceFoundation 1 · Ch 5.8
Geometry and measures
19 lessons
- Shape vocabulary, symmetry and quadrilateralsFoundation 1 · Ch 6.1
- Angles at points, lines and parallel linesFoundation 1 · Ch 6.2
- Triangles, interior and exterior polygon anglesFoundation 1 · Ch 6.3
- Congruence criteria and geometric deductionsFoundation 2 · Ch 19.4
- Compass constructions and lociFoundation 2 · Ch 15.5
- Reflections, rotations and translationsFoundation 1 · Ch 10.1
- Positive and fractional enlargementsFoundation 1 · Ch 10.4
- Column vectors and vector arithmeticFoundation 2 · Ch 19.6
- Solids, plans and elevationsFoundation 2 · Ch 15.1
- Circle vocabulary and perimeterFoundation 2 · Ch 17.1
- Areas of triangles, quadrilaterals and compositesFoundation 1 · Ch 8.1
- Prisms, cylinders and surface areaFoundation 1 · Ch 8.4
- Pyramids, cones, spheres and composite solidsFoundation 2 · Ch 17.6
- Arc lengths and sectorsFoundation 2 · Ch 17.4
- Similar figures and length ratiosFoundation 2 · Ch 19.1
- Pythagoras in two dimensionsFoundation 2 · Ch 12.1
- Right-triangle trigonometry in two dimensionsFoundation 2 · Ch 12.3
- Exact trigonometric valuesFoundation 2 · Ch 12.7
- Bearings and geometric modellingFoundation 2 · Ch 12.7
Probability and statistics
9 lessons
- Probability language, frequency trees and expectationFoundation 2 · Ch 13.1
- Exhaustive outcomes and experimental probabilityFoundation 2 · Ch 13.2
- Sets, Venn diagrams and sample spacesFoundation 2 · Ch 13.2
- Independent and dependent event treesFoundation 2 · Ch 13.5
- Samples, populations and statistical claimsFoundation 1 · Ch 7.5
- Data tables, bar/pie/time-series charts and frequency polygonsFoundation 1 · Ch 3.1
- Ordered stem-and-leaf, averages, spread and grouped meansFoundation 1 · Ch 3.5
- Scatter graphs and predictionsFoundation 1 · Ch 3.7
- Linked representations and multistep reasoningFoundation 1 · Ch 7.4
Foundation tier: clinics and exam repair
8 lessons
- Foundation numerical fluency clinicFoundation 1 · Ch 1.1
- Foundation ratio and percentage problemsFoundation 2 · Ch 11.2
- Foundation algebra and graph clinicFoundation 1 · Ch 2.5
- Foundation geometry and equipment clinicFoundation 1 · Ch 6.2
- Foundation statistics and probability clinicFoundation 1 · Ch 3.3
- Foundation non-calculator assessment and repairFoundation 1 · Ch 1.1
- Foundation calculator assessment and repairFoundation 1 · Ch 7.1
- Foundation readiness and tier-transition reviewFoundation 1 · Ch 7.4
Higher tier: number, algebra and proportion
23 lessons
- Product counting and estimating powers/rootsHigher 1 · Ch 1.1
- Fractional and negative indicesHigher 1 · Ch 1.5
- Surds, exact calculations and rationalisingHigher 1 · Ch 1.7
- Recurring decimals as fractionsHigher 1 · Ch 4.5
- Upper/lower bounds in calculationsHigher 1 · Ch 7.2
- Algebraic fractions and rational equationsHigher 2 · Ch 17.2
- Three binomials and non-monic factorisationHigher 1 · Ch 2.7
- General algebraic proofsHigher 2 · Ch 17.5
- Formal, inverse and composite functionsHigher 2 · Ch 17.8
- Translations and reflections of function graphsHigher 2 · Ch 19.6
- Perpendicular gradients and line equationsHigher 1 · Ch 6.5
- Origin-centred circles and tangentsHigher 1 · Ch 6.8
- Completing the square and turning pointsHigher 1 · Ch 9.4
- Quadratic formula and rearranged quadraticsHigher 1 · Ch 9.3
- Linear/quadratic simultaneous equationsHigher 1 · Ch 9.7
- Quadratic and two-variable inequalitiesHigher 1 · Ch 9.1
- Exponential and trigonometric graphsHigher 2 · Ch 13.2
- Graph gradients and areasHigher 1 · Ch 6.3
- Average and instantaneous rates of changeHigher 1 · Ch 6.3
- Iterative formulae, roots and growth modelsHigher 2 · Ch 11.1
- Quadratic sequence nth termsHigher 1 · Ch 2.6
- Geometric sequences with surds and other patternsHigher 1 · Ch 2.6
- Constructing direct/inverse proportional equationsHigher 2 · Ch 19.1
Higher tier: geometry and measures
10 lessons
- Negative-scale-factor enlargementHigher 1 · Ch 8.3
- Combined transformations and invarianceHigher 1 · Ch 8.4
- Area and volume in similar figuresHigher 2 · Ch 12.4
- Circle theorems and angle chainsHigher 2 · Ch 16.1
- Circle theorem proofs and linked geometryHigher 2 · Ch 12.2
- Three-dimensional Pythagoras and trigonometryHigher 2 · Ch 13.7
- Sine rule and the ambiguous caseHigher 2 · Ch 13.5
- Cosine rule for sides and anglesHigher 2 · Ch 13.6
- Area of any triangle and mixed trigonometryHigher 2 · Ch 13.5
- Vector geometric arguments and proofsHigher 2 · Ch 18.4
Higher tier: probability, statistics and readiness
7 lessons
- Conditional probability in tables, trees and Venn diagramsHigher 1 · Ch 10.5
- Algebraic probability and linked eventsHigher 1 · Ch 10.4
- Histograms with unequal widthsHigher 2 · Ch 14.4
- Cumulative frequency and quantilesHigher 2 · Ch 14.2
- Box plots and distribution comparisonsHigher 2 · Ch 14.3
- Capture–recapture and sampling assumptionsHigher 1 · Ch 4.3
- Higher assessment, repair and readiness reviewHigher 1 · Ch 10.5
Independent practice for Pearson Edexcel GCSE Mathematics (1MA1), not endorsed by Pearson.