Similarity

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Similarity

Volume of Similar Shapes and Volume Scale Factor

Students learn how to calculate the volume scale factor from similar solids to calculate a capacity. As learning...

Calculating lengths in similar shapes

Students learn how to identify and calculate missing lengths in similar shapes using the length scale factor. As...

Similar Shapes Calculations

Students learn about the relationship between the length, area and volume scale factors of similar shapes.  As l...

Similar Areas

Students learn how to calculate areas of similar shapes using the area scale factor.  As learning progresses stu...

Congruence

Students learn how to recognise and prove congruency using various angle properties and geometrical facts.  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 […]