Calculations and graphs involving measurements of speed.

Given a graph of some line or curve - the student is asked about the nature of the map and whether it constitutes a function.

This uses an embedded Geogebra graph of a cubic polynomial with random coefficients set by NUMBAS.  Student has to decide what kind of map it represents and whether an inverse function exists.

This uses an embedded Geogebra graph of a cubic polynomial with random coefficients set by NUMBAS.  Student has to decide what kind of map it represents and whether an inverse function exists.

This uses an embedded Geogebra SHM graph with coefficients set by NUMBAS.

Finding x and y values for straight line graphs

Looking at gradients and values for x and y for straight-line graphs

Given the graph of the line determine the equation of the line.

Identifying the gradient from a straight-line graph equation y=mx+c

Uses JSXGraph to generate a plot for a cubic, with given critical points, along with three other incorrect graphs with modified properties. JSXGraph code is commented.

A graph is drawn. A student is to identify the derivative of this graph from four other graphs. There are four version of this question: I: cubic, II: linear, III: quadratic, IV: sinusoisal.

Students will analyze a graph of a quadratic function to identify the x-intercepts (or Roots, or Zeros).

Students will locate and write the ordered pair for the vertex of a quadratic function from a graph.

Students will analyze the graph of a quadratic function, and then write the equation in either Standard Form or Vertex Form.

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Given the graph of the line determine the equation of the line.

Students will locate and write the equation for the axis of symmetry of a quardatic function from graph.

A quadratic equation (equivalent to $(x+a)^2-b$) is given and sketched. Three equations are given that can be solved using the graph. There is a chance there will only be one solution.

A (quadratic) function is skethed sketched. Three equations are given that can be solved using the graph. There is a chance there will only be one solution.

Some questions which use JSXGraph to create interactive graphics.

A random heating question, that randomly picks a material, and then heats it through either one or two phase changes, provides an example graph of the heating with scaled temperature ranges (though not with scaled latent and specific heats), and a table with the suitable constants.

Uses JSXGraph to generate a plot for a cubic, with given critical points, along with three other incorrect graphs with modified properties. JSXGraph code is commented.

A quadratic function $ax^2+bs+c$ is given. Six parabolas are sketched. Question is to select the correct parabola.  Need to consider the y-intercept, the coefficient of x^2, and the x-coordinate of the minimum/maximum point.

Provided with information on a sample with sample mean and known population variance, use the z test to either accept or reject a given null hypothesis.

Provided with information on a sample with sample mean and standard deviation, but no information on the population variance, use the t test to either accept or reject a given null hypothesis.

A cubic with a maximum and minimum point is given. Question is to determine coordinates of the minimum and maximum point.

A quadratic equation (equivalent to $(x+a)^2-b$) is given and sketched. Three equations are given that can be solved using the graph. There is a chance there will only be one solution.

A random heating question, that randomly picks a material, and then heats it through one phase change, provides an example graph of the heating with scaled temperature ranges (though not with scaled latent and specific heats), and a table with the suitable constants.