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EARLY ACCESS JMaths is in active development ā€” new content added regularly

Year 10 Extended Mathematics Beta

Module 1

Sequences

Representing sequences as pictures, tables, graphs and algebra. Determine the general rule from shifted number sequences (e.g., u_n = nĀ² ā€¦

6 lessons
Introduction to Sequences 10 min Arithmetic Sequences 10 min Geometric Sequences 10 min Shifted Sequences 10 min Solving Sequence Problems 10 min Justifying Sequence Rules 10 min
Module 2

Exponents and Indices

Index laws - full coverage, including fractional and negative exponents. Solve by comparing exponents of the same base. Solve equations ā€¦

4 lessons
Index Laws 10 min Solving Exponential Equations 10 min Working with Surds 10 min Mixed Problems with Surds 10 min
Module 3

Algebra

Solving multi-step algebraic equations involving rational and irrational coefficients. Solve equations with square and cube roots. Solving equations with brackets. ā€¦

6 lessons
Multi-step Equations 10 min Equations with Roots 10 min Expanding and Factorising 10 min Algebraic Fractions 10 min Systems of Equations 10 min Mathematical Modelling 10 min
Module 4

Coordinate Geometry

y = mx + b form. Slope (conceptual and formulaic). Parallel and perpendicular lines. Problem solving with coordinates. Distance between ā€¦

4 lessons
Equations of Lines 10 min Parallel and Perpendicular Lines 10 min Distance, Midpoint and Ratios 10 min Coordinate Geometry Problems 10 min
Module 5

Functions

Function notation (numeric). Function notation (algebraic). Graphical representation. Domain and range. Linear functions (including piecewise).

4 lessons
Function Notation 10 min Graphical Representation 10 min Domain and Range 10 min Linear and Piecewise Functions 10 min
Module 6

Quadratic Equations

Optimisation problems. Factorise and solve quadratics (applications of the null factor theorem). Solve equations with algebraic fractions (quadratic). Systems of ā€¦

5 lessons
Solving by Factorisation 10 min Equations with Fractions 10 min Features of Quadratic Functions 10 min Graphing and Applications 10 min Higher Degree Equations 10 min
Module 7

Geometry

Right trigonometry and Pythagoras in 3D. Volume and surface area. Volume of cones, cylinders, pyramids. Surface area of cylinder. Bearings. ā€¦

6 lessons
3D Trigonometry 10 min Volume of 3D Shapes 10 min Surface Area 10 min Bearings 10 min Significant Figures and Bounds 10 min Error and Uncertainty 10 min
Module 8

Statistics

Measures of center from grouped data. Representations (frequency/relative frequency histograms). Cumulative frequency. Quartiles, box-and-whisker, IQR, visualization of skew. Shape and ā€¦

6 lessons
Measures of Central Tendency 10 min Histograms 10 min Cumulative Frequency 10 min Box Plots and Distribution Shape 10 min Measures of Spread 10 min Two-Way Tables 10 min
Module 9

Bivariate Statistics

Construct a scatter plot. Define dependent and independent variables. Correlation vs causation. Pearson's correlation coefficient. Explanatory models of correlation. Plot ā€¦

4 lessons
Scatter Plots 10 min Correlation 10 min Line of Best Fit 10 min Predictions and Limitations 10 min