An early look at a brighter way to learn GCSE Maths · 108 lessons available
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PEARSON EDEXCEL · GCSE MATHEMATICS · 1MA1

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Browse course documents and all 108 lessons in teaching order. Each lesson brings together its learner materials and teacher resources.

108 lessons · 60-minute teaching sequence · Original Reach for the Star resources

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Sequenced lessons

Start at Lesson 1 or return to the lesson you need. Learner activities, printable resources, presentations and teacher guidance are grouped on each lesson page.

Lessons 1–12
  1. L001Signed numbersOrder integers; signed addition/subtraction; explain and check.View resources
  2. L002Multiplication, division and orderCalculate with signed products, quotients and mixed operations; justify the order and check with an inverse.View resources
  3. L003Place value, decimals and estimationUse place value to scale and compare decimals, round to stated accuracy, and judge whether a calculation is reasonable.View resources
  4. L004Number diagnostic and repairDiagnose a number error, repair the method, and choose an independent check that tests the original calculation.View resources
  5. L005Factors multiples and primesFind and justify factors, prime factorisations, HCFs and LCMs; choose the right structure for a problem.View resources
  6. L006Fractions and equivalent formsExplain equivalence, simplify fractions, convert mixed and improper forms and compare fractions exactly.View resources
  7. L007Fraction operationsCalculate exactly with fractions using all four operations and explain why each method works.View resources
  8. L008Fraction reasoning and retrievalSelect, explain and check fraction methods; diagnose misconceptions and transfer a repaired method to a fresh problem.View resources
  9. L009Fractions decimals and percentagesConvert between fractions, decimals and percentages, and compare proportions on a consistent basis.View resources
  10. L010Fractions and percentages of amountsUse fractions and percentages as operators, recover a whole from a known fraction, and explain the chosen reference amount.View resources
  11. L011Percentage change and reverse percentagesUse multipliers for percentage change, recover an original value and distinguish simple interest from repeated growth.View resources
  12. L012Number checkpoint and feedbackDemonstrate cumulative number understanding, diagnose the cause of an error and verify a repair independently.View resources
Lessons 13–24
  1. L013Ratio and sharingInterpret ratios, simplify them and share quantities using equal parts while distinguishing part-to-part from part-to-whole.View resources
  2. L014Scale and proportionUse constant multiplicative relationships for recipes and length scales, with consistent units and checks.View resources
  3. L015Unit rates and best buysCompare prices using a common unit. Interpret the best buy in terms of cost, quantity needed and waste.View resources
  4. L016Proportion problems and repairSelect and justify a proportion method. Diagnose whether the given amount is a total, a share or a difference.View resources
  5. L017Algebraic language and substitutionRead algebraic notation accurately. Substitute signed values and distinguish expressions, equations and identities.View resources
  6. L018Collect expand and factoriseCollect like terms, expand a single bracket and factorise a common factor. Explain how these equivalent forms are connected.View resources
  7. L019Linear equationsSolve linear equations while preserving equality. Check solutions in the original equation, including unknowns on both sides.View resources
  8. L020Equations in contextsTranslate a context into a linear equation, solve it and interpret the result with appropriate units and constraints.View resources
  9. L021Formulae and rearrangingSubstitute into formulae and change the subject by inverse operations. State necessary restrictions and check with values.View resources
  10. L022Inequalities and number linesSolve linear inequalities and represent solution sets on number lines. Explain endpoint inclusion and order reversal.View resources
  11. L023Sequences and nth termsGenerate and recognise sequences. Find a linear nth-term rule and use it to decide whether a value belongs.View resources
  12. L024Cumulative checkpoint and feedbackUse independent evidence across number, proportion and algebra to identify a specific error and demonstrate a repaired method.View resources
Lessons 25–36
  1. L025Angle facts and parallel linesCalculate missing angles and justify each step using named angle facts and marked parallel lines.View resources
  2. L026Triangles and polygonsDerive angle sums and use triangle, quadrilateral and regular-polygon properties to solve problems.View resources
  3. L027Congruence and geometric reasoningSelect a valid triangle congruence criterion and use corresponding parts to build a short proof.View resources
  4. L028Constructions and lociUse ruler and compass constructions and interpret loci as sets of points satisfying distance conditions.View resources
  5. L029Coordinates and transformationsTransform points and shapes by translation, reflection and rotation, and describe each transformation completely.View resources
  6. L030Enlargement and scale factorsEnlarge shapes from a stated centre, including positive fractional factors, and explain how centre and factor determine the image.View resources
  7. L031Bearings and scale drawingsInterpret three-figure bearings and construct scale drawings with accurate distance and direction.View resources
  8. L032Geometry checkpoint and feedbackUse independent geometry evidence to identify misconceptions, complete a targeted repair and demonstrate transfer.View resources
  9. L033Perimeter and compound areaCalculate perimeters and areas of compound rectilinear shapes, triangles, parallelograms and trapezia with correct units.View resources
  10. L034Circles arcs and sectorsCalculate circle circumference and area, arc length and sector area, distinguishing curved length from the full sector perimeter.View resources
  11. L035Prisms and cylindersCalculate prism and cylinder volumes from cross-sectional area and length.View resources
  12. L036Surface area and volumeFind surface area and volume using appropriate nets and formulae.View resources
Lessons 37–48
  1. L037Plans elevations and measuresInterpret plans and elevations and connect views to three-dimensional objects.View resources
  2. L038Pythagoras in two dimensionsUse Pythagoras to find a missing length in a right-angled triangle.View resources
  3. L039Trigonometry in right trianglesSelect sine, cosine or tangent to find a right-triangle side or angle.View resources
  4. L040Cumulative checkpoint 2 and feedbackApply and explain earlier number, algebra and geometry independently.View resources
  5. L041Coordinates gradient and interceptPlot coordinates and interpret gradient and vertical intercept.View resources
  6. L042Straight line equationsForm and use straight-line equations and locate intersections.View resources
  7. L043Distance time and speed graphsInterpret distance–time and speed–time graphs in context.View resources
  8. L044Graph problems and repairChoose graphical methods and repair errors in interpreting axes and gradients.View resources
  9. L045Sampling and data qualityRecognise populations, samples, bias and limits of conclusions.View resources
  10. L046Tables charts and time seriesRepresent and interpret categorical data, grouped data and time series.View resources
  11. L047Averages and spreadCalculate and interpret averages and range, including grouped estimates.View resources
  12. L048Statistical comparisonsCompare distributions using context, a typical value and spread.View resources
Lessons 49–60
  1. L049Probability and expected frequencyUse the probability scale and calculate expected frequency.View resources
  2. L050Sample spaces and systematic listsList outcomes systematically and calculate probabilities from sample spaces.View resources
  3. L051Venn diagrams and set notationInterpret Venn diagrams and use set notation in probability.View resources
  4. L052Cumulative checkpoint 3 and feedbackApply and explain earlier graphs, statistics, probability and number independently.View resources
  5. L053Powers roots and index lawsUse powers, roots and index laws with valid conditions.View resources
  6. L054Standard formConvert to and from standard form and perform calculations.View resources
  7. L055Rounding error intervals and boundsDescribe rounding intervals and reason about limits of accuracy.View resources
  8. L056Number accuracy pathwaySelect appropriate exact or approximate forms and explain accuracy.View resources
  9. L057Quadratic expressionsExpand and factorise quadratic expressions using structure.View resources
  10. L058Quadratic graphs and rootsPlot quadratic graphs and interpret roots and key features.View resources
  11. L059Solving quadraticsSolve quadratic equations using tier-appropriate methods.View resources
  12. L060Algebra pathway and repairChoose an algebraic method and repair an identified misconception.View resources
Lessons 61–72
  1. L061Simultaneous equationsSolve simultaneous equations and interpret the solution as a common point.View resources
  2. L062Equations from situationsTranslate a situation into equations and interpret solutions in context.View resources
  3. L063Cubic reciprocal and other graphsRecognise graph families and estimate solutions graphically.View resources
  4. L064Cumulative checkpoint 4 and feedbackApply number accuracy, graphs and equations in cumulative tasks.View resources
  5. L065Direct and inverse proportionSolve direct and inverse proportion problems and represent relationships.View resources
  6. L066Speed density and pressureUse speed, density and pressure with consistent units.View resources
  7. L067Growth decay and compound interestModel repeated percentage change, growth, decay and compound interest.View resources
  8. L068Rates pathway and repairSelect a proportion or rate method and explain assumptions.View resources
  9. L069Similarity and lengthsUse similarity to calculate missing lengths and justify scale factors.View resources
  10. L070Area and volume scale factorsConnect linear scale factors with area and volume change at the appropriate tier.View resources
  11. L071Triangle problems and bearingsCombine triangle methods, scale drawings and bearings appropriately.View resources
  12. L072Cumulative checkpoint 5 and feedbackChoose and justify methods across earlier proportional and geometric work.View resources
Lessons 73–84
  1. L073Probability trees and combined eventsUse probability trees and combine event probabilities.View resources
  2. L074Dependent events and assumptionsRecognise dependence and the assumptions behind a probability model.View resources
  3. L075Frequency trees and probability modelsInterpret frequency trees and compare model predictions with observed data.View resources
  4. L076Probability pathway and repairSelect a probability representation and repair common errors.View resources
  5. L077Scatter graphs and correlationDescribe correlation, use a line of best fit and recognise limits of prediction.View resources
  6. L078Statistical graphs pathwaySelect and interpret statistical graphs appropriate to the tier.View resources
  7. L079Comparing distributions pathwayCompare distributions using suitable statistics and graphical evidence.View resources
  8. L080Cumulative checkpoint 6 and feedbackApply probability and statistics with earlier number and algebra.View resources
  9. L081Circle geometry pathwayUse circle geometry at the appropriate tier and explain angle reasoning.View resources
  10. L082Vectors and translationsRepresent translations as column vectors and combine displacements.View resources
  11. L083Vector reasoning pathwayReason with vectors at the appropriate tier.View resources
  12. L084Geometry connections and repairConnect geometry methods and repair weaknesses revealed by evidence.View resources
Lessons 85–96
  1. L085Functions pathwayInterpret functions at the appropriate tier.View resources
  2. L086Graph transformations pathwayInterpret changes to graphs at the appropriate tier.View resources
  3. L087Equation-solving pathwaySelect equation and inequality methods appropriate to the tier.View resources
  4. L088Cumulative checkpoint 7 and feedbackApply algebra and geometry pathways in a cumulative assessment.View resources
  5. L089Rates from graphs pathwayInterpret rates and areas from graphs at the appropriate tier.View resources
  6. L090Circle equations pathwayConnect circle and coordinate geometry at the appropriate tier.View resources
  7. L091Proof and algebraic structureExplain algebraic structure and build a logical argument.View resources
  8. L092Mixed modelling and checkingForm a mathematical model, solve it and interpret its limitations.View resources
  9. L093Number and ratio consolidationRetrieve and connect number, ratio and proportional methods.View resources
  10. L094Algebra consolidationRetrieve and connect algebraic methods at the chosen tier.View resources
  11. L095Geometry probability and statistics consolidationConnect geometry, probability and statistics through mixed problems.View resources
  12. L096Coverage diagnostic and repairIdentify remaining coverage gaps and set a targeted repair plan.View resources
Lessons 97–108
  1. L097Mock paper 1 non-calculatorApply the chosen tier’s content independently in mock Paper 1.View resources
  2. L098Mock paper 2 calculatorApply the chosen tier’s content independently in mock Paper 2.View resources
  3. L099Mock paper 3 calculatorApply the chosen tier’s content independently in mock Paper 3.View resources
  4. L100Paper 1 feedback and repairInterpret feedback on mock Paper 1 and repair a priority misconception.View resources
  5. L101Paper 2 feedback and repairInterpret feedback on mock Paper 2 and repair a priority misconception.View resources
  6. L102Paper 3 feedback and repairInterpret feedback on mock Paper 3 and repair a priority misconception.View resources
  7. L103Delayed reassessmentDemonstrate retained improvement through delayed reassessment.View resources
  8. L104Non-calculator number and algebraApply number and algebra methods without a calculator.View resources
  9. L105Calculator fluency and accuracyUse a calculator efficiently while checking magnitude, accuracy and units.View resources
  10. L106Reasoning and multi-step problemsExplain a multi-step solution and justify method choices.View resources
  11. L107Paper readinessDemonstrate paper readiness through mixed tier-appropriate questions.View resources
  12. L108Personal revision plan and flexible repairPlan spaced revision and choose manageable next steps from evidence.View resources

Materials are from the final course packs supplied for publication. These are original resources, not official Pearson materials or an endorsement by an awarding organisation.

Extension activities for all 108 lessons

Additional learner activities and separate teacher answers in one supporting bundle.

Download extension handbook (ZIP)