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Level One > Geometry and Measurement

# Mosaic Puzzles

Achievement Objectives:

Achievement Objective: Sort objects by their appearance.

Specific Learning Outcomes:

Join shapes together to form other shapes

Identify and describe shapes

Devise and use problem solving strategies to explore situations mathematically (guess and check).

Description of mathematics:

### What is this problem about?

This problem helps develop students' spatial skills. As the students handle the shapes and join them together they strengthen their understandings of the attributes of shapes. This lesson also gives students the opportunity to make up their own puzzles which is good for building confidence.

Required Resource Materials:
Copymaster of the problem (English)
Copymaster of the problem (Māori)
Mosaic shapes or attribute blocks (squares, parallelograms, triangles, hexagons)
Activity:

### Problem

Can you make the large shape below with the four smaller shapes?

### Teaching sequence

1. Introduce the problem by showing a rhombus, a triangle and a trapezium. Ask the students what shape they can make by joining the shapes.
Let the students work for a couple of minutes with the shapes and then talk about what they found.
2. Show a hexagon.
Can you use the 3 shapes to make this shape?
3. Pose the problem.
4. As the students work on the problem ask:
How are you solving the problem?
How did you decide where to put the shapes?
5. Share solutions

#### Extension to the problem

Hint: Place a loop of masking tape, with the sticky side out, to the blocks to hold them together when tracing the puzzle outline.

AttachmentSize
Mosaic Puzzles.pdf34.46 KB
Mosaic Puzzles Maori.pdf43.45 KB

## Flip's Flag

apply the angle properties of squares, rectangles and triangles

use fractions to express the relationships between the areas of rectangles, squares and triangles

devise and use problem solving strategies to explore situations mathematically (be systematic).

## Odd One Out

list a number of properties that distinguish squares from circles from cubes from pentagons.

devise and use problem solving strategies to explore situations mathematically (guess and check, make a drawing, use equipment).

## To the Wire

These are level 3 number, geometry, and statistics problems from the Figure It Out series.