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Student Tasks: GeoGebra

These tasks are designed to help students in understanding mathematical relationships better through exploring dynamic constructions. They can be accessed using the computer-based version of GeoGebra or the tablet/smartphone app. They have been designed with the following structure:

  • Construction: step-by-step guidance of how to construct the objects in GeoGebra.
  • Questions for discussion: The emphasis is on students being able to observe mathematical relationships by changing objects on their screen.and being able to describe what happens, and explain why.
  • Problem: The purpose is for them to formalise what they have learnt through exploration and discussion and apply this to a “standard” style question.
  • Further tasks: Extension activities with less structure for students who have successfully completed the first three sections.

GCSE Mathematics

Topic Classroom tasks
Algebra Equation of a line: y=mx+c
Intersection of two lines
Parallel lines
Roots of quadratic functions
Completed square form
Transformation of functions
Equations of tangents to circle
Geometry Transformations
Properties of quadrilaterals
Circle theorems

AS/A level Mathematics: Pure Mathematics (AS)

Topic Classroom tasks
Surds and indices (AS)
Quadratic functions (AS) Plot y=ax2+bx+c in and vary a, b and c.
Graphs of quadratic functions
Equations and inequalities (AS) Intersection of a line and a curve
Quadratic inequalities
Coordinate geometry (AS) Perpendicular lines
Trigonometry (AS) Solution of trig equations
Polynomials (AS) The Factor Theorem
Graphs and transformations (AS) Functions - Transformations
The binomial expansion (AS)
Differentiation (AS) Exploring the gradient on a curve
Introduction to Stationary Points
Integration (AS) Area under a curve
Vectors (AS) Introduction to vectors
Exponentials and logarithms (AS) Graph of y=kax
Derivate of exponential functions y=ekx

AS/A level Mathematics: Pure Mathematics (Full A level only)

Topic Classroom tasks
Trigonometry Trig equations in radians
Sequences and series Sum of an AP
Sum of a GP
Functions The Modulus Function
Inverse functions
Differentiation Points of inflection
Trigonometric functions
Algebra Partial Fractions
Trigonometry identities Double Angle formulae
Rcos(θ−α)
Further Differentiation Differentiating trigonometric functions
Integration Gradient of tangent to y=lnx
Parametric equations Tangents to parametric curves
Vectors
Differential equations
Numerical methods Change of sign
Fixed point iterations
Newton-Raphson


AS/A level Further Mathematics

Problem solving activities using GeoGebra

These problem solving activities are constructions that test students' understanding of connections between representations and reinforce generalisation