Translation of shapes

Each pupil chooses two colored sheets. The measuring tool must be available.

Folding instructions: Fold opposite parallel sides of both sheets.

Folding instructions: Fold opposite shorter sides on both sheets.

Folding instructions: Open both sheets into squares.

Folding instructions: On both sheets fold one side of the square on to the line of symmetry.

Folding instructions: While holding a finger on the line of symmetry fold a vertex as shown on both sheets.

Folding instructions: Repeat the fold with the other vertex.

Folding instructions: Turn over both sheets.

Folding instructions: Fold the vertex of both shapes as shown to obtain a white triangle.

 Folding instructions: Turn over both shapes. 

Folding instructions: Fold  the shapes as shown in the animation.

 Folding instructions: Turn over both shapes.

The cars are now ready.

A discussion question: Check your two cars. Are they congruent? How do you know? Explain.

A discussion question: Check your cars with another pupil’s cars. How did you check? Explain.

A discussion question: When are two shapes congruent? Explain.

Answer: When the two shapes cover each other exactly they are congruent and have the same measurements of each matching side.

A discussion question: Check the three cars. Which ones are congruent? Explain.

Answer: The cars numbered 2 and 3 are congruent as shown.

 Arrange the cars-they must be congruent-so that

1.The distance between each car is the same.

2. The cars must be placed in the same direction.

Before beginning the activity of translation:

1. The cars must be congruent.
2. The distance between the cars must be the same.
3. The cars must all be in the same direction.
4. The chosen line that the cars travel on must be decided upon before moving the cars.

1. Play the group game.
2. The cars must be congruent.
3. The distance between the cars must be the same.
4. The cars must all be in the same direction.
5. The chosen line that the cars travel on must be decided upon before moving the cars.

While playing the group game try and find how the other group decided on the rules for moving the cars.

A discussion question: Which cars in the picture observe the rules of translation?

A discussion question:  Which cars in the picture observe the rules of translation? Explain.

A discussion question:  Which cars in the picture observe the rules of translation? Explain.

Translation of shapes:

1.The shapes must be congruent.

2. Distance between each shape must be the same distance.

3.All shapes must move in the same direction.

4. The line of translation is decided upon and must be fixed before translating the shapes.