Learn · Apprendre
AQA · GCSE · Mathematics
Choose a lesson to begin. · Choisissez une leçon pour commencer.
Course units and learning goals · Unités de cours et objectifs d'apprentissage →These lessons teach selected course objectives. Check the remaining coverage gaps; the material is not a complete preparation programme. · Ces leçons abordent des objectifs de cours sélectionnés. Vérifiez les lacunes restantes en couverture ; ce matériel ne constitue pas un programme d'entraînement complet.
1 3.1 · Number 0 / 20
1
Exact arithmetic and estimation · Foundation · Arithmétique exacte et estimation · Niveau fondamental
2
Exact arithmetic and estimation · Higher · Arithmétique exacte et estimation · Supérieur
3
Integer indices and standard form · Foundation
4
Indices, surds and standard form · Higher
5
Accuracy, bounds and compound measures · Higher · Précision, bornes et mesures composées · Supérieur
6
Signed numbers, place value and operation order · Foundation
7
Signed numbers, place value and operation order · Higher
8
Exact fractions and mixed-number operations · Foundation
9
Exact fractions and mixed-number operations · Higher
10
Systematic lists and possibility grids · Foundation
11
Systematic lists and the product rule · Higher
12
Exact surds and rationalising denominators · Higher
13
Terminating decimals and fractions · Foundation
14
Terminating and recurring decimal conversions · Higher
15
Metric and compound-unit conversions · Foundation
16
Metric and compound-unit conversions · Higher
17
Estimation, rounding and simple error intervals · Foundation
18
Estimation, rounding and simple error intervals · Higher
19
Ratio shares and fraction operators · Foundation
20
Ratio shares and fraction operators · Higher
2 3.2 · Algebra 0 / 37
1
Equations, identities and rearrangement · Foundation · Équations, identités et réarrangement · Fondamental
2
Equations, identities and rearrangement · Higher · Équations, identités et réarrangement · Supérieur
3
Factorising and solving simple quadratics · Foundation · Factorisation et résolution d'équations quadratiques simples · Niveau fondamental
4
Quadratics and inequalities · Higher · Équations quadratiques et inégalités · Niveau supérieur
5
Two linear simultaneous equations · Foundation
6
Linear and linear/quadratic simultaneous equations · Higher
7
Straight lines and gradients · Foundation · Droites et pentes · Niveau fondamental
8
Coordinate geometry and tangents · Higher · Géométrie analytique et tangentes · Niveau supérieur
9
Arithmetic sequences and nth terms · Foundation · Suites arithmétiques et termes généraux · Niveau fondamental
10
Arithmetic and finite geometric sequences · Higher
11
Algebraic notation, substitution and vocabulary · Foundation
12
Algebraic notation, substitution and vocabulary · Higher
13
Collecting, expanding and factorising expressions · Foundation
14
Collecting, expanding and factorising expressions · Higher
15
Rearranging formulae and checking the subject · Foundation
16
Rearranging formulae and checking the subject · Higher
17
Identities, equivalence and algebraic arguments · Foundation
18
Identities, equivalence and algebraic arguments · Higher
19
Function machines and reversing operations · Foundation
20
Function machines and reversing operations · Higher
21
Domains, inverses and composition · Higher · Domaines, inverses et composition · Niveau supérieur
22
Coordinate quadrants and basic graph families · Foundation
23
Coordinate quadrants and basic graph families · Higher
24
Exponential and degree-based trigonometric graphs · Higher
25
Translations and reflections of function graphs · Higher
26
Distance-time graphs and contextual intersections · Foundation
27
Distance-time graphs and contextual intersections · Higher
28
Graphical gradients and area estimates · Higher
29
Origin-centred circles and tangent equations · Higher
30
Numerical iteration for equation roots · Higher
31
Linear inequalities and number-line solutions · Foundation
32
Linear inequalities and number-line solutions · Higher
33
Quadratic inequalities and two-variable regions · Higher
34
Figurate, geometric and Fibonacci-type sequences · Foundation
35
Figurate, geometric and Fibonacci-type sequences · Higher
36
Quadratic nth terms and surd-ratio progressions · Higher
37
Algebraic fractions and excluded values · Higher
3 3.3 · Ratio, proportion and rates of change 0 / 15
1
Percentages, ratio and proportional reasoning · Foundation
2
Percentages, ratio and proportional reasoning · Higher
3
Ratios, equivalent proportions and mixtures · Foundation
4
Ratios, equivalent proportions and mixtures · Higher
5
Scale drawings and maps · Foundation
6
Scale drawings and maps · Higher
7
Direct and inverse proportional relationships · Foundation
8
Direct and inverse proportional relationships · Higher
9
Rates, unit prices, density and pressure · Foundation
10
Rates, unit prices, density and pressure · Higher
11
Length, area and volume scale factors · Foundation
12
Length, area and volume scale factors · Higher
13
Simple interest, compound growth and decay · Foundation
14
Simple interest, compound growth and decay · Higher
15
Iterative processes with repeated deposits · Higher
4 3.4 · Geometry and measures 0 / 43
1
Angles, lengths and area · Foundation · Angles, longueurs et aires · Fondamental
2
Angle reasoning, similarity and mensuration · Higher · Raisonnement angulaire, similarité et mensuration · Supérieur
3
Right-angled triangles in two dimensions · Foundation
4
Right triangles and non-right triangles · Higher
5
Vectors and transformation geometry · Foundation · Vecteurs et géométrie de transformation · Niveau fondamental
6
Vectors and transformation geometry · Higher · Vecteurs et géométrie de transformation · Niveau supérieur
7
Reflections, rotations and enlargements · Foundation · Réflexions, rotations et agrandissements · Niveau fondamental
8
Reflections, rotations and enlargements · Higher · Réflexions, rotations et agrandissements · Niveau supérieur
9
Constructions, loci and geometric conditions · Foundation · Constructions, lieux géométriques et conditions géométriques · Niveau fondamental
10
Constructions, loci and geometric conditions · Higher · Constructions, lieux géométriques et conditions géométriques · Supérieur
11
Circle theorems and reasoned proofs · Higher · Théorèmes relatifs aux cercles et démonstrations raisonnées · Supérieur
12
Shape vocabulary, properties and symmetry · Foundation
13
Shape vocabulary, properties and symmetry · Higher
14
Angle facts and polygon reasoning · Foundation
15
Angle facts and polygon reasoning · Higher
16
Triangle congruence and geometric proof · Foundation
17
Triangle congruence and geometric proof · Higher
18
Circle parts and geometric definitions · Foundation
19
Circle parts and geometric definitions · Higher
20
Geometric reasoning on coordinate axes · Foundation
21
Geometric reasoning on coordinate axes · Higher
22
Solid properties, plans and elevations · Foundation
23
Solid properties, plans and elevations · Higher
24
Measuring angles and three-figure bearings · Foundation
25
Measuring angles and three-figure bearings · Higher
26
Combined isometries and invariants · Higher
27
Circle angles and proof chains · Higher
28
Tangents, chords and the alternate segment · Higher
29
Areas, perimeters and composite plane shapes · Foundation
30
Areas, perimeters and composite plane shapes · Higher
31
Prism volume and cylinder measurement · Foundation
32
Prism volume and cylinder measurement · Higher
33
Circle lengths, areas and composite boundaries · Foundation
34
Circle lengths, areas and composite boundaries · Higher
35
Spheres, cones, pyramids and frustums · Foundation
36
Spheres, cones, pyramids and frustums · Higher
37
Arcs, sectors and reverse angle calculations · Foundation
38
Arcs, sectors and reverse angle calculations · Higher
39
Exact trigonometric values from special triangles · Foundation
40
Exact trigonometric values from special triangles · Higher
41
Sine rule, cosine rule and triangle area · Higher
42
Right triangles in three-dimensional shapes · Higher
43
Vector geometry and midpoint arguments · Higher
5 3.5 · Probability 0 / 9
1
Probability trees and outcomes · Foundation
2
Probability, trees and conditional reasoning · Higher
3
Experimental probability, fairness and expected outcomes · Foundation
4
Experimental probability, fairness and expected outcomes · Higher
5
Systematic possibilities and equally likely outcomes · Foundation
6
Systematic possibilities and equally likely outcomes · Higher
7
Venn diagrams, unions and two-way counts · Foundation
8
Venn diagrams, unions and two-way counts · Higher
9
Conditional probability with tables and expected frequencies · Higher
6 3.6 · Statistics 0 / 13
1
Centre, spread and data displays · Foundation
2
Data summaries, histograms and interpretation · Higher · Résumés de données, histogrammes et interprétation · Supérieur
3
Cumulative frequency and box plots · Higher · Fréquence cumulée et diagrammes en boîte · Supérieur
4
Samples, populations and justified comparisons · Foundation
5
Samples, populations and justified comparisons · Higher
6
Choosing displays, pie charts and time series · Foundation
7
Choosing displays, pie charts and time series · Higher
8
Frequency summaries and grouped estimates · Foundation
9
Frequency summaries and grouped estimates · Higher
10
Scatter graphs, correlation and cautious predictions · Foundation
11
Scatter graphs, correlation and cautious predictions · Higher
12
Histogram density and cumulative-frequency construction · Higher
13
Quartiles, box plots and distribution comparisons · Higher