Builder Series

# 2D Shapes

Use Mathomat to explore the mathematics in art and design. We investigate the properties of 2D geometric shapes such as regular polygons, and their patterns

2D Shapes

## Explore the world of 2D geometry using Mathomat

Regular polygons have enormous potential for creative design work, such as the tessellations that we explore using Mathomat. These activities develop an understanding of the underlying patterns in creative design. This gives insight into the physical world and it builds confidence in classroom geometry and problem solving.

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### Enlarging 2D shapes with Mathomat. Regular polygons

#### Using Mathomat to enlarge 2D shapes

Learning to use Mathomat for enlargement of regular polygons using the wealth of tools within the Mathomat V7 template that can be used with geometric shapes.

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### Investigating 2-D shapes with Mathomat V7

#### Understanding 2-D shapes when drawing with Mathomat V7

Understanding the properties of 2-D shapes is important in drawing and design work. Print the two worksheets in this activity and use them with your Mathomat V7

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### More 2-D shapes with Mathomat V7

#### See if you can work out which types of Mathomat shapes have been used in these drawings

Print the two activity pages for this investigation. Using your Mathomat V7 work out which Mathomat shapes were used to make the drawing on page 8.

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### Regular and irregular 2-D shapes

#### Understanding shapes in your Mathomat V7 template by investigating regular and irregular shape structure.

Using the first page of the investigation, find shapes in your Mathomat V7 that are regular, and the ones that are irregular. We use angles in the shapes.

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### Reflection and rotation of Mathomat shapes

#### Understanding reflection and rotation in creative drawing with Mathomat

Reflection and rotation of Mathomat shapes allows us to do creative drawing and design work. Mathomat shapes can moved (translated) into different positions

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### More rotations with Mathomat

#### Exploring rotation of Mathomat shapes, and the creation of designs by tessellating shapes

Using shape 32, the trapezium, in your Mathomat and the worksheet on the first page create the designs that are shown. The activity uses the Mathomat trapezium.

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### Triangles and quadrilaterals with Mathomat

#### Learning to find the many different triangles and quadrilaterals on your Mathomat template

Print the two activity pages in this investigation and use with your Mathomat V7 geometry template and blank paper, to find important shapes in your template.

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### Explore and discover, angles in the real world

#### Search for the geometry in the real world by comparing things you see to shapes in Mathomat, use angle to describe what you see

Print the two activity sheets for this investigation. Using them and your Mathomat look for ways to see 2-D shapes in your Mathomat in real world objects.

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### Straight line geometry using Mathomat triangles

#### A straight line forms an angle of 180 degrees. We use Mathomat triangles in this activity to investigate this angle.

Print the two activity pages n this investigation and use with your Mathomat template. We find each of the triangles in Mathomat and use them in this activity.

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### Straight line geometry 2

#### More investigations using straight line geometry, this time with vertically opposite and reflex angles

Print the two activity sheets for this investigation and use with your Mathomat V7 geometry template. We construct a pair of vertically opposite angles

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### Triangle properties using Mathomat

#### Understanding the triangles in Mathomat

The illustration on the first page of the investigation shows the triangles in Mathomat. Follow the explanation by Michelle for each of the mathomat triangles

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### Properties of quadrilaterals

#### Using rigid transformation of Mathomat triangles to create different quadrilaterals

In this activity we use Mathomat triangles to construct quadrilaterals using rigid transformation of the Mathomat shapes to construct composite shapes

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### Kite and parallelogarm

#### We use Mathomat to explore the properties of kites and parallelograms

In this activity Michelle Du Toit explores the properties of the kite as a quadrilateral. In the second page of this activity Mathomat triangles are used.

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### The square and the rectangle in Mathomat

#### We use Mathomat as a drawing tool to understand properties of these two quadrilaterals

We use Mathomat in this investigation to construct a square and a rectangle using right angled triangles in the template. The Mathomat triangles are transformed

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### Mathomat trapeziums and the quadrilateral connection

#### Using the the range of triangles in Mathomat to explore trapeziums. Exploring the quadrilateral connection.

Follow Michelle Du Toit's examples and use each of the triangle types in Mathomat to discover the properties of trapeziums. We explore the quadrilateral family.

Online Store

### Purchase some of our most popular products from the official Mathomat online store

#### Finding Hidden Angles, a Mathomat Adventure

##### V7 template with 48 page student book
Template
\$
19.95
Use Mathomat with the finding hidden angles student book. Gain insight into the geometry of the world by understanding angle. Build confidence with maths.

#### Mathomat V7 Builder Pack

##### with 96 page student manual
Template
\$
19.95
The Mathomat V7 template with an illustrated manual of investigations that familiarise students with the use of Mathomat for creative drawing.

#### Mathomat V7 Explorer Pack

##### Template & 72 page student manual
Template
\$
19.95
The Mathomat V7 geometry template with 72 page illustrated student manual and MAC guide by Juliet Snape. Illustrated contexts for student directed learning.

#### Geometry & Beyond

##### with Mathomat
Publication
\$
24.95
A series of lessons for secondary school which make use of available classroom materials, such as the Mathomat template and geometry software.

#### Maths with Mathomat

##### Lesson Plans Years 4-9 & Beyond
Publication
\$
24.95
A series of comprehensive lesson plans developed to give teachers a glimpse of the potential for using Mathomat as an aid in the teaching of mathematics.

#### Text Book & Units of Work

##### with Mathomat
Publication
\$
24.95
This 116 page book of investigations with Mathomat reveal the passion for teaching of Craig Young, the designer of the original Mathomat.
01

### Lesson Plans

#### Learn to teach maths with Mathomat

Get a glimpse of the tremendous potential for using Mathomat as an aid to teaching mathematics.

02

### Video Tutorials

#### Watch and learn from Pr. Chris Tisdell

Using a series of Mathomat products and templates, learn maths and geometry with Pr. Chris Tisdell.

03

### Online Store

#### Visit the official Mathomat store

Purchase official Mathomat templates, booklets and teaching resources for your child or classroom.

04

### Academic Papers

#### Achievements that utilize Mathomat

Read through some interesting studies and research that make use of Mathomat templates.