# Tessellation Time

### Room 3 have been learning to communicate and record the results of translations, reflections, and rotations on plane shapes.

A plane shape is  a two-dimensional (2D) or flat figure, such as a triangle, square, rectangle, or hexagon.  Different plane shapes have different attributes, such as the numbers of sides or corners. A side is a straight line that makes part of the shape, and a corner is where two sides meet.

We learnt that to translate a plane shape we slide it over. To reflect a plane shape we flip it. A mirror will show us how a shape reflects. To rotate a plane shape we turn it around a central point.

Tessellation involves repeating plane shapes using translation, reflection and rotation.

A tessellation is when a flat surface, like a floor or a piece of paper, is covered with repeating plane  shapes. The shapes must fit together so that there are no gaps or overlaps. For example, tiled patterns on floors and some quilt patterns are actually tessellations.

Following are some photos of our learning experiences:

First of all we learnt about translation, reflection, and rotation.

Our anchor chart

First of all we had a go at translating reflecting and rotating plane shapes on paper

We used rulers to draw the shapes we translated reflected and rotated

Credynse showing translation reflection and rotation

Three Dimensional Cube Problem Solving

Here are the six faces of a cube - in no particular order:

are three views of the cube:

Can you deduce where the faces are in relation to each other and record them on the net of this cube?

The three dimensional cube challenge made us think in different ways

Reflection Challenge

Write your name backwards so that it reflects the right way around in the mirror.

Grayson thinking hard about how to make his name reflect

We definitely had to keep trying to get our names to reflect correctly in the mirror

We had a mirror so we could prove we had made our name reflect. Well done Tessa

Tessellation /Tiling

We linked our inquiry learning about tiny houses into our maths. Using tessellation we had to design a tile floor for Whaea Karen’s tiny house.

Photos

We decided that these bottle caps did tessellate because they have little straight sides all around the shape

All sorts of things we had in our classroom made tessellation patterns

Lachlan T created an interesting tessellation pattern

Tessas tessellation that pattern would make an amazing floor

Travis made a pattern in his tessellation

Ana used different sized rectangles to make her tessellation pattern

The hexagon shape makes a beautiful tessellation pattern

This tessellation pattern involves different plane shape but because there are no gaps or overlaps it is still tessellation

Daniel used triangle shape to make a tessellation

We were using tessellation to make a floor for Whaea Karen’s tiny house.  Arkayzhia

It was tricky trying to write my name backwards so that it reflected the right way in the mirror.  Amber

I really like doing the tessellation with the triangles.  I made a big triangle out of triangles and I also made a hexagonal shape.  Daniel

I found solving the puzzling cube easy. Tom

Curriculum Links: Geometry and Measurement - Transformation

• Predict and communicate the results of translations, reflections, and rotations on plane shapes.

Key Competencies: Language, symbols and text, thinking

Keywords: tessellation, rotation, reflection, translation, plane shape

Attributed to: nrich.maths.org - A puzzling Cube