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Practising Mathematics: Developing the mathematician as well as the mathematics

How can your students work like mathematicians?

An engaging selection of tasks contain activities from many areas of mathematics including: Number work, Ratio and Proportion, Algebra, Geometry, Probably and Statistics.

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Activities

This activity has a set of graded problems which require the addition of auxiliary lines in order for them to be solved.

Circle geometry investigations

In this series of activities, students investigate a particular situation in a circle to form a hypothesis. They then further explore using dynamic geometry software.

Complete the congruence proof

This cloze activity provides frameworks of varying support for developing congruence proofs.

Dissected proof

In this activity, students reconstruct a proof of Pythagoras' theorem based on similarity. Students arrange a set of cards, each with either one line of the proof or a reason, in the correct order.

Dynamic circle geometry

In this activity, pre-prepared learning objects allow all students to benefit from exploring dynamic circle geometry.

Geometry toolkit

When students write deductive proofs in geometry they need to draw on a significant store of knowledge and skills which they have acquired over a number of years.

Great angle chase

After they have been introduced to the circle geometry theorems, this activity gives students practice in recognising the relationships in more complex diagrams.

Hexagonal tangrams

In this activity, students use a tangram to explore a wide variety of hexagons.

This activity uses dynamic diagrams to explore a broad range of angle relationships in a variety of orientations.

Paper, pencil and protractor

In this activity, students construct all possible triangles which have three given measurements. They determine the conditions under which congruence can be guaranteed.

Pattern block hexagons

This is a practical activity using patterns blocks which encourages students to think more inclusively about hexagons.

Property match-up

This is a classroom activity in which students are required to match quadrilateral properties expressed in words with the corresponding properties indicated on a diagram.

This is a challenging classroom activity in which students are required to represent the hierarchy of the special quadrilaterals in a flowchart diagram.