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Listed under:  Mathematics  >  Geometry  >  Shapes (Geometry)
Teacher resource

TIMES Module 13: Measurement and Geometry: construction - teacher guide

This is a 30-page guide for teachers that explains the central role of construction and presents examples of constructions.

Teacher resource

TIMES Module 26: Measurement and Geometry: circle geometry - teacher guide

This is a 44-page guide for teachers. It contains theorems on chords, arcs, angles and secants associated with circles.

Collection

Visualising two-dimensional and three-dimensional shapes

This collection comprises 24 digital curriculum resources, including learning objects from the series 'Shape sorter', 'Face painter', 'Geoboard', 'Photo hunt', 'Viewfinder' and 'Shape maker'. There are three categories: exploring two-dimensional shapes; visualising three-dimensional shapes; and making three-dimensional ...

Teacher resource

TIMES Module 20: Measurement and Geometry: parallelograms and rectangles - teacher guide

This is a 17-page guide for teachers. It contains the definitions, properties and tests for parallelograms and rectangles. Proofs of the properties and tests are given. Constructions for parallelograms and rectangles are given.

Teacher resource

TIMES Module 17: Measurement and Geometry: the circle - teacher guide

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.

Teacher resource

TIMES Module 21: Measurement and Geometry: rhombuses, kites and trapezia - teacher guide

This is a 32-page guide for teachers. It contains the definitions, properties and tests for rhombuses, kites and trapezia. Proofs of the properties and tests are given. Constructions for rhombuses, kites and trapezia are provided.

Teacher resource

Starting Smart: how can I use measurement relationships to solve problems? - years 7-9

This curriculum resource package is a ten-week middle years teaching plan and set of supporting resources to extend students' knowledge and skills in the measurement of area and volume and to develop their ability to solve practical measurement problems. Students use counting methods and develop formulas to calculate areas ...

Interactive resource

Trig radians: introduction

Use radians to measure angles. Identify key angles in their radian form, for example π/6=30°. Convert angles in degrees (up to 360) to angles in radians. Solve measurement problems using angles in radians. Determine arc lengths using radians. This learning object is one in a series of seven objects. Three objects in the ...

Teacher resource

Using 'Cities taking shape' - Teacher idea

This Teacher idea includes comments following the teaching of R11361 'Cities taking shape - unit of work' to a years 4-5 class. The unit promotes students' knowledge of 2D and 3D shapes, and the relationship between them. It offers interactive and hands-on tasks to develop, consolidate and extend students' understandings ...

Text

BBC Bitesize: area - revision

This is a set of illustrated information sheets about the concept of area, and formulas for the calculation of areas of rectangles, triangles, parallelograms and compound shapes. Examples with answers are included and students have access to test questions to assess their learning. This resource is one of a series of online ...

Teacher resource

reSolve: Circumference

This sequence of three lessons explores the properties of circles, in particular the relationship between the diameter and circumference. In the first lesson, students use a cylinder containing three tennis balls to understand that a circumference is 'three and a bit' times the diameter. They then complete five different ...

Interactive resource

Exploring diameter and circumference

Explore the constant value of 'pi' by investigating the relationship between circumference and diameter. Unroll the circumference of a circle to form a straight line. See how many times the diameter can be placed beside it. Notice the relationship between the circumference and diameter applies no matter what size the circle ...

Interactive resource

Exploring dilations

Explore dilations by transforming shapes such as triangles and rectangles. Choose a scale factor and position a shape and dilation centre. Notice how the coordinates of the dilation image are related to the original image. Look at how scale factors enlarge or reduce the size of a shape. Identify a scale factor used to dilate ...

Teacher resource

TIMES Module 11: Measurement and Geometry: area, volume and surface area - teacher guide

This is a 15-page guide for teachers containing explanations of the derivation of formulas for the areas of parallelograms, trapeziums, rhombuses and kites. Formulas for the volumes and surface areas of prisms and cylinders are obtained. Applications of these formulas are given. A history of the development of these concepts ...

Text

Tessellating tiles

In this teaching resource students learn how to construct shapes that will tessellate (or tile) a plane area. Starting with a regular shape known to tessellate (square, equilateral triangle, hexagon), students apply geometrical transformations to the sides of the shape to create new shapes that tessellate. There are links ...

Teacher resource

Starting Smart: how are shapes and objects related?

This curriculum resource package is a ten-week middle years teaching plan and set of supporting resources to extend students' understanding of geometrical language and spatial relationships. Students use concrete materials and interactive geometry software packages to compare and describe geometrical attributes and investigate ...

Teacher resource

Starting Smart: what are the properties of shapes and objects?

This curriculum resource package is a ten-week middle years teaching plan and set of supporting resources to extend and develop students' knowledge, understanding and application of circles, polygons and 3-D shapes. Students use interactive geometry software packages to define and construct circles and polygons from minimum ...

Teacher resource

Circles

This is a website designed for both teachers and students that refers to the properties of circles including the circumference and area from the Australian Curriculum for year 8 students. It contains material on finding circumferences and areas of circles, and the areas and perimeters of shapes formed from circles and other ...

Teacher resource

reSolve: Area of a circle

This sequence of three lessons explores the formula for calculating the area of a circle. Students estimate the area of a circle using inscribed and circumscribed squares, investigate proofs of the area formula, engage in activities for further exploring circle area in multiple contexts and investigate a 'square peg' problem ...

Teacher resource

reSolve: Geometry: Trapezium Pieces

This lesson explores different shapes that can be formed by cutting a trapezium in two with one straight line. Students are challenged to classify and name the shapes that are made, and justify their classifications based on the definitions and properties of shapes. The lesson is outlined in detail including curriculum ...