Graphical functions

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Graphical functions

Drawing Parabolas

To practice drawing parabolas students learn how to create a table of results for a quadratic equation. They use...

Using Parabolas to Solve Quadratic Equations

Students learn how to find the solutions to a quadratic equation using graphs.  Learning progresses from solving...

Solving Quadratic Equations Graphically

There are several examples for the teacher to demonstrate solving quadratic equations graphically.  Students wil...

Plotting Exponential Graphs

In this mathematics lesson students learn how to plot exponential graphs on Cartesian axes.  As learning progres...

Deriving the Equation of Tangents

In this mathematics lesson students progress from drawing and finding the equation of a circle to calculating th...

Equation of Circles

In this mathematics lesson students learn how to apply Pythagoras' Theorem to plot and derive the equation of c...

Plotting Reciprocal Functions

Students learn about plotting reciprocal functions using a table of results and choosing suitable axes.  As lear...

Plotting Quadratic Functions

Students learn about plotting quadratic functions by completing a table of results and choosing a suitable scale...

Plotting Cubic Functions

Students learn how to plot cubic functions by completing a table of results and choosing appropriate axes.  As l...

Mr Mathematics Blog

Calculating the Volume of a Pyramid

When calculating the volume of a pyramid we can substitute the values of the length, width and perpendicular height into the formula V = 1/3 lwh.  In my experience this is often provided for the students with little explanation as to why a volume of a pyramid is exactly one third the volume of a […]

Solving 3D Problems using Trigonometry

When teaching solving 3D problems using trigonometry we begin the lesson with a recap of Pythagoras’ Theorem and the three trigonometric ratios.  We do this by matching the ratio and equations to the respective right-angled triangle.   Students are encouraged to work in pairs and to show the diagrams as part of the working out on […]

Rounding to a significant figure

When I teach rounding to a significant figure, I ask the class to discuss in pairs or small groups a definition for the word significant.  It is a word that all the students have heard before but not all are able to define. After 2 or 3 minutes of conversation I ask the students to […]