Functions

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Functions

Estimating the Area Under a Curve

Students learn about estimating the area under a curve using the trapezium rule.  As learning progresses they in...

Instantaneous Rates of Change

Students learn how to calculate and interpret instantaneous rates of change in different contexts.  By drawing a...

Using Parabolas to Solve Quadratic Equations

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

Working with Functions

Students learn how to use the correct notation to calculate outputs and inputs for complex functions.  As learni...

Translating Functions

Students learn how to perform and describe graphical transformations in the form f(x+a) for horizontal translati...

Stretching Functions

Students learn how to transform a graph through a horizontal stretch in the form f(ax) or vertical stretch in th...

Solving Equations Through Iteration

Students learn how to use numerical methods to solve equations through iteration.  As learning progresses they a...

Inverse Functions

In this mathematics lesson students learn how to find the inverse of a function using function machines.  As lea...

Composite Functions

In this mathematics lesson students learn how to find the output of composite functions using the correct notati...

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 […]