A 10 question test on Graphs of equations and functions, comprising: 5 questions on procedural calculations; 3 questions on reasoning and communicating mathematically; and 2 problem solving questions. At the end of the test there is an extension activity which will allow more able students to stretch themselves. This resource is ideal for either formative or summative assessment and can be used in lesson time as a topic assessment, starter or plenary activity or for homework or revision.
Topics include:
Work with x- and y- coordinates in all four quadrants.
Graphs of equations and functions:
Use a table of values to plot graphs of linear and quadratic functions.
Use a table of values to plot other polynomial graphs and reciprocals.
Use a table of values to plot exponential graphs.
Polynomial functions:
Recognise and sketch the graphs of simple linear and quadratic functions.
Recognise and sketch cubic and reciprocal graphs.
Identify intercepts and, using symmetry, the turning point of graphs of quadratic functions.
Find the roots of a quadratic equation algebraically.
Sketch graphs of quadratic functions, identifying the turning point by completing the square.
Exponential functions:
Recognise and sketch graphs of exponential functions in the form y = kx for positive k.
Trigonometric functions:
Recognise and sketch the trigonometric graphs.
Equations of circles:
Recognise and use the equation of a circle with centre at the origin.
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