# 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

Topic Suggested resource/activity from
MEI scheme of work
Autograph Casio Desmos GeoGebra
Problem solving (AS) Problem-solving with Geogebra Construction Problems
Surds and indices (AS) Sumaze! Power Maze
Quadratic functions (AS) Enter y=ax2+bx+c into a graph plotter and vary a, b and c. Graphs of quadratic functions Graphs of quadratic functions Graphs of quadratic functions
Equations and inequalities (AS) Intersection of a line and a curve Intersection of a line and a curve Intersection of a line and a curve

Intersection of a line and a curve

Intersection of a line and a curve

Coordinate geometry (AS) Equation of a circle Perpendicular lines Perpendicular lines Equations of circles Perpendicular lines
Trigonometry (AS) Three trig graphs Trigonometric equations Solution of trig equations Solution of trig equations Solution of trig equations
Polynomials (AS) The Factor Theorem (Casio) The Factor Theorem The Factor Theorem The Factor Theorem Polynomial division

The Factor Theorem
Graphs and transformations (AS) Transforming trig functions Functions - Transformations

Functions - Transformations of y=1/x curves
Function transformations Function transformations

Functions - Transformations of y=k/x curves
Function transformations
The binomial expansion (AS) Binomial expansion (Excel)
Differentiation (AS) First principles Gradient graphs
Stationary points

Stationary Points

Stationary points

Stationary points
Integration (AS) Integration and area activities Area under a curve Area under a curve
Area under a curve Area under a curve
Vectors (AS) Vector addition and subtraction Introduction to vectors Introduction to vectors
Exponentials and logarithms (AS) Derivate of exponential functions Graph of y=kax

Derivative of y=ekx
Reduction to linear form

Derivative of y=ekx
Graph of y=kax

Derivative of y=ekx
Graph of y=kax

Derivative of y=ekx
Data collection (AS) Excel random sample (video)
Data processing, presentation and interpretation (AS) Boxplots and outliers 1D Statistics Basic statistics and charts (Casio) LDS guidance LDS guidance
Probability (AS) Probability Venn diagram (Excel)
The binomial distribution (AS) Falling balls 1D Statistics The Binomial Distribution Distributions: functions > Dist Probability Calculator
Statistical hypothesis testing using the binomial distribution (AS) Critical regions 1D Statistics The Binomial Distribution Distributions: functions > Dist Probability Calculator
Kinematics (AS) Moving Man simulation Traffic program
Forces and Newton’s laws of motion (AS) Interactive Force Diagrams
Variable acceleration (AS) Interactive exam question
Proof Using a spreadsheet find square numbers of the form 2n2+k for small k to generate rational approximations to √2
Trigonometry Explore small angle approximations with graph plotting software and a spreadsheet. Trig equations in radians Trig equations in radians Trig equations in radians Trig equations in radians
Sequences and series Use a spreadsheet to display and ask questions relating to arithmetic sequences and series Sum of an AP

Sum of a GP
Sum of an AP

Sum of a GP
Functions Composite function graph The Modulus Function

Inverse functions
The Modulus Function

Inverse functions
The Modulus Function

Inverse functions
The Modulus Function

Inverse functions
Differentiation Rectangles in an ellipse Points of inflection Points of inflection Points of inflection
Trigonometric functions Six Trigonometric Functions
Algebra Plot a function and the first few terms of its binomial expansion. Partial Fractions Partial Fractions Partial Fractions Partial Fractions
Trigonometry identities Explore the curves of the form y=pcosx+qsinx with graphing software and express them as transformations of y=sinx. Double Angle formulae

Rcos(θ−α)
Double Angle formulae

Rcos(θ−α)
Double Angle formulae

Rcos(θ−α)
Double Angle formulae

Rcos(θ−α)
Further Differentiation Investigate the gradient function for y=sin(kx) in a graph plotter. Differentiating trigonometric functions

Differentiating trigonometric functions

Differentiating trigonometric functions

Derivative of y=lnx
Differentiating trigonometric functions

Integration Area under y=1/x and the natural logarithm function
Parametric equations Introducing parametric curves Converting parametric equations to cartesian equations Tangents to parametric curves Converting parametric to cartesian Tangents to parametric curves
Vectors Entering vectors in GeoGebra
Differential equations Explore dy/dx=2y(3−y) in a graph plotter
Numerical methods The trapezium rule Change of sign

Fixed point iterations

Newton-Raphson
Change of sign

Fixed point iterations

Newton-Raphson
Change of sign Change of sign

Fixed point iterations

Newton-Raphson
Probability The Rare Event & False Positives
Probability distributions Probability Calculator in GeoGebra 1D Statistics The Normal Distribution Distributions in Desmos: functions > Dist Probability Calculator
Hypothesis testing Sampling distributions
Kinematics Kinematics exam question
Force and motion Resolving forces exam question
Moments Balancing act
Projectiles Trajectory of a Projectile
Friction Forces acting on a box