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Listed under:  Mathematics  >  Geometry  >  Solids (Geometry)
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 ...

Teacher resource

Delivering water

This is a mathematics unit of work about water: its world-wide availability and use; the time spent carrying it; the best shape for water tanks; and the area of land taken up around tanks and in paths and ditches to water sources. Intended for years 9 and 10 and written from a global education perspective, the resource ...

Interactive resource

Measures: similar solids

Compare the sizes and angles of a range of cubes and rectangular prisms. Notice that 'similar solids' in the mathematical sense have the same shape and possibly different sizes. Corresponding sides are in proportion, and corresponding angles are equal. Identify solids that are similar, and create solids similar to given ...

Interactive resource

Measures: scaling up solids

Compare the volumes of cubes and rectangular prisms before and after being scaled up (enlarged). Notice that 'similar solids' in the mathematical sense have the same shape but different volumes. Explore the relationship between side length and volume when scaling up solids. This learning object is the fifth in a series ...

Interactive resource

Measures: scaling surface area

Compare the surface area of cubes and rectangular prisms before and after being scaled up (enlarged) or scaled down (reduced). Notice that 'similar shapes' in the mathematical sense have the same shape but different surface areas. Explore the relationship between side length and surface area when scaling solids. This learning ...

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 12: Measurement and Geometry: cones, pyramids and spheres - teacher guide

This is a 26-page guide for teachers. It contains an introduction to finding the surface area and volume of cones, cylinders, pyramids and spheres.

Text

BBC Bitesize: volume - revision

This is a set of information sheets on measurement ideas associated with volumes of rectangular prisms and cylinders. Practice and test questions with answers are provided. This resource is one of a series of online resources from the BBC's Bitesize collection.

Video

Volume of a cone

In this learning object the relationship between the volume of a cylinder and cone is illustrated. Problems with animated worked solutions are included as are practice questions and answers for students.

Tablet friendly (Interactive resource)

Face painter: finding faces 1

Identify polygons on a range of prisms and polyhedra such as a cube, square pyramid or triangular prism. Picture in your head all sides of a solid. Estimate how many faces the object has. Rotate it to see all of its faces. Paint each face of a given shape such as a triangle or rectangle.

Interactive resource

Face painter: locating faces

Identify faces of a range of prisms and polyhedra such as a triangular pyramid, pentagonal prism or L-shaped block. Picture in your head all sides of a solid. Estimate how many faces the object has. Rotate it to paint all of its faces. This learning object is one in a series of four objects.

Interactive resource

Measures: scaling down solids

Compare the volumes of cubes and rectangular prisms before and after being scaled down (reduced). Notice that 'similar solids' in the mathematical sense have the same shape but different volumes. Explore the relationship between side length and volume when scaling down solids. This learning object is the sixth in a series ...

Interactive resource

Measures: volumes

Compare the volumes of a range of rectangular prisms when scaling up (enlarging) side lengths by different ratios. Notice that the rectangular prisms are not similar in the mathematical sense, but it is possible to predict the effect on the volume produced by the scaling of the sides. Identify and describe the relationship ...

Interactive resource

Face painter: finding faces 2

Identify polygons on a range of prisms and polyhedra such as a cuboid, square pyramid or hexagonal prism. Picture in your head all sides of a solid. Estimate how many faces the object has. Rotate it to see all of its faces. Paint each face of a given shape such as a hexagon or rectangle. This is one activity in a series ...

Teacher resource

reSolve: Authentic Problems: Pyramids in a Box

This sequence of four lessons focuses on working with solids and their nets. The lessons provide opportunities for students to work flexibly as they construct simple prisms and pyramids from nets they have created. Students record their mathematical thinking as they work through iterations to refine a box that has the least ...

Text

Volume of a Pyramid and a Cone

This resource is a web page containing an investigative task to explore volume. Derive the formulae for the volumes of a square-based pyramid and a cone, using mathematical concepts. A printable resource is also available to support the task. This resource is an activity from the NRICH website.

Moving Image

Shapes glorious shapes

Did you know that not all pyramids have a square base? Investigate the bases and faces of some pyramids. Travel around the world as we view some famous structures. First stop, we're in search of a building that is a rectangular prism. Find out which world famous building is a pentagonal prism. See what type of 3 dimensional ...

Moving Image

STOP! Thats an octagon

Meet Jack Black as he describes an octagon. Pity he left his octagon at home. Luckily, Elmo comes to the rescue with an example of an octagon. See how many sides and angles an octagon has.

Interactive Resource

Volumes of prisms

This is a four-page HTML resource about solving problems concerning volumes of prisms. It contains one video and four questions, two of of which are interactive. The resource discusses and explains solving problems concerning volumes of prisms to reinforce students' understanding.

Teacher resource

Construction of prisms and pyramids

This is a website designed for both teachers and students that refers to the construction of prisms and pyramids from the Australian Curriculum for year 6 students. It contains material on prisms and pyramids including their properties and their construction from nets. There are pages for both teachers and students. The ...