Constructions

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Constructions

Angles of Elevation and Depression

Students learn how to construct and use scale drawings to measure angles of elevation and depression and unknown...

Bisecting an Angle

Students learn how to construct an angle bisector using a pair of compasses and ruler.  As learning progresses t...

Constructing Triangles using Compasses and Protractors

Students learn how about constructing triangles using compasses and protractors using SSS, SAS and ASA.  As lear...

Perpendicular Bisectors and Equidistant Paths

Students learn how to construct a perpendicular bisector and equidistant path using a pair of compasses and rule...

Scale Drawings of Bearings

Using their knowledge of triangles students learn how to construct scale drawings of bearings.  As learning prog...

Constructing Angle Bisectors

Students learn how to construct angle bisectors using a pair of compasses and a straight edge.  The lesson cover...

Constructions – Angle, Side, Angle

Constructions - Angle, Side, Angle:  Students learn how to construct triangles and polygons using a protractor a...

Constructions – Side, Angle, Side

Constructions - Side, Angle, Side: Students learn how to construct triangles and other polygons using a ruler an...

Constructions – Side, Side, Side

Constructions - Side, Side, Side:  Students learn how to construct triangles and other polygons using a pair of ...

Constructing Loci and Regions

Students learn how to construct the locus of a region by considering loci about a point and line.  Learning is e...

Constructing Loci and Equidistant Paths

Students learn how to construct equidistant paths and identify specific points using angle bisectors and constru...

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 […]