Mathematics / Year 8 / Measurement and Geometry / Geometric reasoning

• TLF-IDM012845

This is a website designed for both teachers and students that introduces congruence of shapes in the plane through transformations. In particular, transformations, translations, reflections in an axis and rotations of multiples of 90 degrees are used to define congruence and to identify congruent shapes. The four congruence ...

• TLF-IDA005471

This four lesson unit of work focuses on similarity in geometry. Students define similarity of shapes in terms of dilations; determine if shapes are similar by using dilations and isomorphic transformations, check if corresponding angles are congruent and the ratios of corresponding side lengths are the same; define similarity ...

• TLF-IDA003560

This comprehensive resource describes the progression of geometric reasoning. The resource demonstrates examples of relevant teaching strategies, investigations, activity plans and connected concepts in geometry including teaching and cultural implications.

• TLF-IDA005447

This four lesson unit of work focuses on volume and capacity. Students convert between volume units using the cube of the length conversion, convert between volume and capacity; calculate the volume and capacity of prisms with cross-sections that are triangular, quadrilateral, or irregular shapes; and investigate a rich ...

• TLF-IDA005455

This lesson focuses on the lengths of paths and perimeters of shapes. Students determine the perimeter of composite shapes with circles, semicircles and quadrants using Pythagoras’ theorem and unit conversion. The unit includes a slide show for structuring presentation of the unit, student tasks including supplementary ...

• TLF-IDM008825

This is a 15-page guide for teachers. In the module the formulas for finding the circumference and area of a circle are introduced. The history and significance of the number pi is also included in this module.

• TLF-IDA004372

This integrated unit of work explores the amazing structures of honeycomb by examining the properties of regular and irregular polygons and polyhedra. Students then move on to solve problems using geometric and algebraic reasoning.

• TLF-IDA003533

Students use visualising and movement activities to develop an understanding of the relationship between variables.

• TLF-IDA003287

This planning resource for Year 8 is for the topic of Graphs. Students explore linear relationships in the context of the Cartesian plane using digital tools. Students will then go on to find the rule for a linear relationship and solve linear equations, both graphically and algebraically.

• TLF-IDA003250

This planning resource for Year 8 is for the topic of Position and location. Students work with 3D objects that can be located on the x, y, z planes, allowing students to extend their thinking away from flat objects on a 2D plane, to objects with volume that have a position in space with (x, y, z) coordinates. Students ...