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Student Tasks: Desmos

These investigative tasks have been produced so they are easy to follow with the app on a variety of different devices including tablets and smartphones. They don't require any downlaoded files. They are designed to encourage investigation and discussion.

GCSE Mathematics

Topic Student tasks

For use with the app on laptops, tablets or smartphones
Classroom activities

Activities from teacher.desmos.com that require an internet-connected laptop or tablet
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 circles
Marbleslides: lines
Polygraph lines
Card sort: Linear systems
Marbleslides: parabolas
Sector area
Compound inequalities on the number line
Domain and range introduction
Graphing stories
What"s Going on in this Graph?
Geometry Transformations
Properties of quadrilaterals
Circle theorems
Circle Patterns
Build a bigger field (perimeter/area)
Polygraph: Polygons
Laser challenge (angles)
Puzzling it out (angles)

AS/A level Mathematics: Pure Mathematics (AS)

Topic Student tasks

For use with the app on laptops, tablets or smartphones
Classroom activities

Activities from teacher.desmos.com that require an internet-connected laptop or tablet
Quadratic functions (AS) Plot y=ax2+bx+c in and vary a, b and c.
Graphs of quadratic functions
Quadratic Functions Collection (9 activities)
Equations and inequalities (AS) Intersection of a line and a curve
Quadratic inequalities
Coordinate geometry (AS) Equations of circles Circle Patterns
Trigonometry (AS) Solution of trig equations Trigonometric Graphing: Amplitude/Vertical Shift
Polynomials (AS) The Factor Theorem Constructing Polynomials
Polygraph Polynomials
Graphs and transformations (AS) Functions - Transformations
Functions - Transformations of y=k/x curves
Transforming Functions Collection (6 activities)
Differentiation (AS) Exploring the gradient on a curve
Introduction to Stationary Points
Functions and Their Derivatives
Sketchy Derivatives
Card Sort: Derivative Match
Integration (AS) Area under a curve
Exponentials and logarithms (AS) Graph of y=kax
Derivatives of exponential functions y=ekx
Exponential Functions Collection (8 activities)

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

Topic Classroom tasks
Functions The Modulus Function
Inverse functions
Algebra Partial Fractions
Trigonometry Solving equations in radians
Trigonometry identities Double Angle formulae
Rcos(θ−α)
Further Differentiation Differentiating trigonometric functions
Integration Gradient of tangent to y=lnx
Parametric equations Converting parametric equations to cartesian equations
Numerical methods Change of sign


MEI Desmos Maths Art Competition

As part of Maths Week England 2019 MEI ran a Desmos Maths Art competition. The best two entries in each of three age categories received prizes of a Desmos T-shirt and a pizza party courtesy of Desmos. The winning artwork plus other notable entries can be viewed at: mei.org.uk/desmos-art

For more information about how to create art in Desmos please see the links below: