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### Background

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### Tangrams Worksheet - Computational Thinking

Lesson Notes

### Objective

### Background

### Preparation

### Instructions

### Answers

15 min

# Tangram paper activity

A tangram is a puzzle that uses small, often brightly colored, wooden blocks to form different shapes. Here we will use coordinates to draw those small block shapes and create a picture.

This worksheet may be completed **individually** or **in pairs** and is suitable for **ages 9 and up**.

### Objective

Draw, individually or in pairs, basic shapes by connecting points described by **coordinates**.

### Background

A tangram is a Japanese game that uses regular shapes, like squares and triangles, to make larger shapes.

We can make those squares and triangles by marking down coordinates and connecting them together.

That is how computers can draw shapes, by using **coordinates** to draw lines on your screen.

### Coordinates

Coordinates are pairs of numbers, like (5, 1). They help you find places on a grid.

The first number tells you the **horizontal** position of a point, it tells to you go **across** the x axis until you hit the number 5.

The second number tells you the **vertical** position of a point, it tells to you go **down** the y axis until you hit the number 1. (across, down)

In the image you can see the position of the coordinates (1, 1), (5, 1), (5, 5) that have been joined together to form a triangle.

### Preparation

These puzzles are available in a print version or online.

- Print version: Tangrams Worksheet. Use a sheet per person or in a pair
- Online version: Tangrams online project - JavaScript 102

Requirements: Worksheet, pencil and ruler or a computer with Internet access

Optional: Colored pencils

This can be an individual or pair exercise.

### Instructions

### Drawing:

Place and connect the coordinates on the grid to make a shape:

- Read the first coordinate and find it on the grid
- Mark the first coordinate on the first grid with a small dot or x
- Read the second coordinate and find it on the grid
- Mark the second coordinate with a small dot or x
- Use the ruler to draw line between them.
- Find and mark the next coordinate
- Use a ruler to connect the second and third coordinates.

- Repeat for all coordinates in one shape.
- To complete the shape, connect the final coordinate with the first coordinate with a ruled line.
- Optional: Draw lightly in pencil and when all shapes are drawn, color the shapes in.

### Online:

Click each coordinate on the grid to make a shape:

- Read the first coordinate and find it on the grid
- Click on the grid at the first coordinate to start drawing a line from that spot
- Read the second coordinate and find it on the grid
- Click on the grid at the second coordinate to make a line
- Find the third coordinate and click to make a second line
- Repeat with all the coordinates
- Select the first coordinate again to complete the shape
- Repeat process with next shape, if there is one

- Click the CHECK button (tick) to see if you are right
- Click the NEXT button (arrow) to go to the next puzzle
- Click the RESET button (circular arrow) to restart the puzzle

### Example of dialog

To draw shape 1 in the first grid. (5, 2), (9, 6), (5, 10), and (1, 6):

- (5, 2)... Go
**across**the grid to number 5, then go**down**the number 2. Make a mark where those lines meet. - (9, 6)... Go
**across**the grid to number 9, then go**down**the number 6. Make a mark where those lines meet. - Rule a line between the two points.
- (5, 10)... Go
**across**the grid to number 5, then go**down**the number 10. Make a mark where those lines meet. - Rule a line between the two points, (9, 6) and (5, 10).
- (1, 6)... Go
**across**the grid to number 1, then go**down**the number 6. Make a mark where those lines meet. - Rule a line between the two points, (5, 10) and (1, 6).
- Rule a line between the two points, (1, 6) and (5, 2).

### Variation

**Easy:** Let players refer to the answer sheet and see the shapes.

**Medium:** Tell players the rough shapes they are drawing, or let them see the answers before drawing.

**Hard:** Give no hint to the answer as players work through the instructions

### Answers

Click here to see the tangram answers