Description
The Tangram is a puzzle made up of seven pieces, triangles, squares and a parallelogram. These seven shapes may be combined to develop various mathematics concepts such as shape, symmetry, similarity, congruence, perimeter, area and fractions.
This 48 page book shows how Tangrams may be used to develop deep knowledge of many geometric principles as well as some fractional understanding. Clear teacher notes and answers are provided to back up the tasks and activities in this book.
Toying with Tangrams Book | |
Australian Curriculum Links | |
AC Links | Mathematics concept |
Yr 3 ACMMG064 | Geometric properties, such as angle size, side length and diagonal length to construct |
Yr 4 ACMMG089 | Tangrams |
Yr 5 ACMMG112 | |
Yr 6 ACMMG141 | |
Yr 7 ACMMG165 | |
Yr 7 ACMMG166 | |
Yr F ACMMG009 | Geometric properties and the geometric vocabulary associated with the Tangram pieces. |
Yr 1 ACMMG022 | Students rearrange and fit shapes together. |
Yr 2 ACMMG042 | |
Yr 6 ACMMG142 | |
Yr 5 ACMMG113 | Mathematical language to describe shape, position and transformations. |
Yr 6 ACMMG142 | |
Yr F ACMMG009 | Rearrange and fit shapes together to complete puzzles. |
Yr F ACMMG010 | Develop geometric reasoning and create Tangram jigsaws. |
Yr 1 ACMMG022 | |
Yr 2 ACMMG042 | |
Yr 4 ACMMG088 | |
Yr 4 ACMMG091 | |
Yr 5 ACMMG114 | |
Yr 5 ACMMG115 | |
Yr F ACMMG009 | Rearrange and fit shapes together to complete puzzles. |
Yr F ACMMG010 | Develop geometric reasoning and create Tangram jigsaws. |
Yr 1 ACMMG022 | |
Yr 2 ACMMG042 | |
Yr 4 ACMMG088 | |
Yr 4 ACMMG091 | |
Yr 5 ACMMG114 | |
Yr 5 ACMMG115 | |
Yr 2 ACMMG045 | Use and describe various transformations- flip, slide and turn using specific mathematical language. |
Yr 2 ACMMG046 | |
Yr 5 ACMMG114 | |
Yr 6 ACMMG142 | |
Yr 7 ACMMG181 | |
Yr 2 ACMMG045 | Knowledge of geometric properties to solve harder fitting and filling puzzles (apparent paradoxes). |
Yr 2 ACMMG046 | |
Yr 4 ACMMG091 | |
Yr 5 ACMMG114 | |
Yr 6 ACMMG142 | |
Yr 7 ACMMG181 | |
Yr 3 ACMMG066 | Reason geometrically. |
Yr 4 ACMMG091 | Identify relationships between the pieces. |
Yr 5 ACMMG108 | Compare the area of Tangram squares using the small triangle as the unit. |
Yr 6 ACMMG141 | Explore patterns (powers of two). |
Yr 7 ACMMG159 | |
Yr 3 ACMMG066 | Reason geometrically. |
Yr 4 ACMMG091 | Identify relationships between the pieces. |
Yr 5 ACMMG108 | Compare the area of Tangram squares using the small triangle as the unit. |
Yr 6 ACMMG141 | Explore patterns (powers of two). |
Yr 7 ACMMG159 | |
Yr 1 ACMMG022 | Properties and characteristics of 20 shapes. |
Yr 2 ACMMG042 | |
Yr 4 ACMMG088 | |
Yr 5 ACMMG114 | |
Yr 5 ACMMG115 | |
Yr 7 ACMMG181 | |
Yr 1 ACMMG022 | Properties and characteristics of 20 shapes. |
Yr 2 ACMMG042 | |
Yr 4 ACMMG088 | |
Yr 5 ACMMG114 | |
Yr 5 ACMMG115 | |
Yr 7 ACMMG181 | |
Yr 1 ACMMG022 | Properties and characteristics of 20 shapes. |
Yr 2 ACMMG042 | |
Yr 4 ACMMG088 | |
Yr 5 ACMMG114 | |
Yr 5 ACMMG115 | |
Yr 7 ACMMG181 | |
Yr 1 ACMMG022 | Properties and characteristics of 20 shapes. |
Yr 2 ACMMG042 | |
Yr 4 ACMMG088 | |
Yr 5 ACMMG114 | |
Yr 5 ACMMG115 | |
Yr 7 ACMMG181 | |
Yr 2 ACMMG037 | Determine areas of Tangram pieces and combinations of pieces |
Yr 3 ACMMG061 | |
Yr 3 ACMMG087 | |
Yr 4 ACMMG084 | |
Yr 5 ACMMG108 | |
Yr 7 ACMMG159 | |
Yr F ACMMG009 | Classify polygons as concave and convex. |
Yr 1 ACMMG022 | Solve spatial visualisation problems, including identifying relationships between shapes. |
Yr 2 ACMMG042 | |
Yr 4 ACMMG088 | |
Yr 4 ACMMG091 | |
Yr F ACMMG009 | Classify polygons as concave and convex. |
Yr 1 ACMMG022 | Solve spatial visualisation problems, including identifying relationships between shapes. |
Yr 2 ACMMG042 | |
Yr 4 ACMMG088 | |
Yr 4 ACMMG091 | |
Yr 3 ACMMG064 | Identify and classify angles |
Yr 4 ACMMG089 | |
Yr 5 ACMMG112 | |
Yr 6 ACMMG141 | |
Yr 1 ACMNA016 | Represent a whole as the sum of unit fractions. |
Yr 3 ACMNA058 | Describe fraction relationships using appropriate fraction language. |
Yr 4 ACMNA077 | Develop equivalent fraction understanding. |
Yr 5 ACMNA102 | |
Yr 5 ACMNA103 | |
Yr 6 ACMNA126 | |
Yr 7 ACMNA153 |