# Integrating Technology Into Your Scheme of Work

The table below gives ideas for integrating technology into your scheme of work for AS/A level Mathematics. The sections in this table are based on the free MEI SOW, suitable for all specifications: Schemes of Work.

Subsets of this information for specific software are also available:

## AS/A level Mathematics

Unit Suggested resource/activity from
MEI scheme of work
1 Problem solving (AS) Problem-solving with Geogebra GeoGebra Construction Problems
2 Surds and indices (AS) Sumaze! Power Maze
3 Quadratic functions (AS) Enter y=ax2+bx+c into a graph plotter and vary a, b and c. Graphs of quadratic functions (Desmos)
4 Equations and inequalities (AS) Intersection of a line and a curve Intersection of a line and a curve (Casio)
Intersection of a line and a curve (Desmos)
Intersection of a line and a curve (GeoGebra)
5 Coordinate geometry (AS) Equation of a circle Coordinate Geometry (Autograph)
Perpendicular lines (Casio)
Equations of circles (Desmos)
Perpendicular lines (GeoGebra)
6 Trigonometry (AS) Three trig graphs Solution of trig equations (Casio)
Solution of trig equations (Desmos)
Solution of trig equations (GeoGebra)
7 Polynomials (AS) The Factor Theorem (Casio) Polynomial division
The Factor Theorem (Desmos)
The Factor Theorem (GeoGebra)
8 Graphs and transformations (AS) Transforming trig functions Functions - Transformations (Casio)
Functions - Transformations (Desmos)
Functions - Transformations (GeoGebra)
9 The binomial expansion (AS) Binomial expansion (Excel)
10 Differentiation (AS) First principles Exploring the gradient on a curve (Casio)
Introduction to Stationary Points (Casio)
Exploring the gradient on a curve (Desmos)
Introduction to Stationary Points (Desmos)
Exploring the gradient on a curve (GeoGebra)
Introduction to Stationary Points (GeoGebra)
11 Integration (AS) Integration and area Area under a curve (Casio)
Area under a curve (Desmos)
Area under a curve (GeoGebra)
12 Vectors (AS) Vector addition and subtraction Introduction to vectors (GeoGebra)
13 Exponentials and logarithms (AS) Derivate of exponential functions Investigating ex and lnx (Autograph)
Gradients of tangents to the exponential function (Casio)
Reduction to linear form (Casio)
Gradient of tangent to y=ekx (Casio)
Derivative of y=ekx (Desmos)
Graph of y=kax (Desmos)
Graph of y=kax (GeoGebra)
Derivate of exponential functionsy=ekx (GeoGebra)
14 Data collection (AS) Excel random sample (video)
15 Data processing, presentation and interpretation (AS) Boxplots and outliers Basic statistics and charts (Casio)
16 Probability (AS) Probability Venn diagram (Excel)
17 The binomial distribution (AS) Falling balls The Binomial Distribution (Casio)
The Probability Calculator in GeoGebra
Distributions in Desmos: functions > Dist
18 Statistical hypothesis testing using the binomial distribution (AS) Critical regions
19 Kinematics (AS) Moving Man simulation Traffic program
Constant Acceleration Equations and Graphs (Casio)
20 Forces and Newton’s laws of motion (AS) Interactive Force Diagrams Forces In Equilibrium (Casio)*
Newton's Second Law in One Dimension (Casio)*
21 Variable acceleration (AS) Interactive exam question Variable Acceleration – Differentiation (Casio)
Variable Acceleration – Integration (Casio)
22 Proof Using a spreadsheet find square numbers of the form 2n2+k for small k to generate rational approximations to √2
23 Trigonometry Explore small angle approximations with graph plotting software and a spreadsheet. Trig equations in radians (Casio)
24 Sequences and series Use a spread sheet to display and ask questions relating to arithmetic sequences and series Sum of an AP (Casio)
Sum of a GP (Casio)
Sum of an AP (GeoGebra)
Sum of a GP (GeoGebra)
25 Functions Composite function graph The Modulus Function (Casio)
Inverse functions (Casio)
The Modulus Function (Desmos)
Inverse functions (Desmos)
The Modulus Function (GeoGebra)
Inverse functions (GeoGebra)
26 Differentiation Rectangles in an ellipse Points of inflection (GeoGebra)
Points of inflection (Casio)
27 Trigonometric functions Six Trigonometric Functions
28 Algebra Plot a function and the first few terms of its binomial expansion. Partial Fractions (Casio)
Partial Fractions (Desmos)
Partial Fractions (GeoGebra)
29 Trigonometry identities Explore the curves of the form y=pcosx+qsinx with graph plotting software to see how they can be expressed as transformations of y=sinx. Double Angle formulae (Casio)
Rcos(θ−α) (Casio)
Double Angle formulae (Desmos)
Rcos(θ−α) (Desmos)
Double Angle formulae (GeoGebra)
Rcos(θ−α) (GeoGebra)
30 Further Differentiation Investigate the gradient function for y=sin(kx) in a graph plotter. Differentiating trigonometric functions (Casio)
Differentiating trigonometric functions (Desmos)
Differentiating trigonometric functions (GeoGebra)
Gradient of tangent to y=lnx (Casio)
Derivative of y=lnx (Desmos)
Gradient of tangent to y=lnx (GeoGebra)
31 Integration Area under y=1/x and the natural logarithm function
32 Parametric equations Introducing parametric curves Tangents to parametric curves (Casio)
Converting parametric to cartesian (Desmos)
Tangents to parametric curves (GeoGebra)
33 Vectors Entering vectors in GeoGebra
34 Differential equations Explore dy/dx=2y(3−y) in a graph plotter
35 Numerical methods The trapezium rule Change of sign (Casio)
Fixed point iterations (Casio)
Newton-Raphson (Casio)
Change of sign (Desmos)
Change of sign (GeoGebra)
Fixed point iterations (GeoGebra)
Newton-Raphson (GeoGebra)
36 Probability The Rare Event & False Positives
37 Probability distributions Probability Calculator in GeoGebra The Normal Distribution (Casio)
The Probability Calculator in GeoGebra
Distributions in Desmos: functions > Dist
38 Hypothesis testing Sampling distributions
39 Kinematics Kinematics exam question (Question 6) Intersecting Paths (Casio)
40 Force and motion Resolving forces exam question (Question 4) Connected Particles (Casio)*
41 Moments Balancing act
42 Projectiles Trajectory of a Projectile The Maximum Range of a Projectile (Casio)
Velocity and Acceleration of a Projectile (Casio)*
43 Friction Forces acting on a box The Friction Law*

*These Casio tasks require a program to be loaded onto the calculator.