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.

The size of the folded triangle can be different but it should be the same on both sides.


Folding instructions: Turn over both sheets.


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

The folds need to be in the same direction in order that the two shapes will be congruent.


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.

The shapes are congruent when it is possible to put one shape on the other and they cover each other exactly.
The teacher should check the cars of each pupil as it is possible that in stage 9 the cars may have been folded in different directions. This can be easily changed.


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

The shapes are congruent when it is possible to put one shape on the other and they cover each other exactly.
The teacher should check the cars of each pupil as it is possible that in stage 9 the cars may have been folded in different directions. This can be easily changed.


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

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


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 carsthey must be congruentso 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:
 The cars must be congruent.
 The distance between the cars must be the same.
 The cars must all be in the same direction.
 The chosen line that the cars travel on must be decided upon before moving the cars.


 Play the group game.
 The cars must be congruent.
 The distance between the cars must be the same.
 The cars must all be in the same direction.
 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.
 Lesson Aims
The pupil will identify the properties of the translation transformation.
 Name of Model
A car
 The lesson structure
First Stage: A prepatory lesson on the topic of the reflective transformation, reflection and line symmetry,the line of symmetry in quadrilaterals, and rotational symmetry.
Second stage: The measuring tool,a prepatory lesson on the topic of the reflective transformation, reflection and line symmetry, opposite and adjacent vertices,the diagonal as a line of symmetry in quadrilaterals,rotational symmetry and translation of shapes.
 Lesson content
Translation as one of three transformationsReflection,Translation,Rotation as studied in elementary school. In this lesson pupils will fold the model of a car and investigate the properties of translation, congruency of shape, the same distance in each translation of the shape and the same direction for each translation of the shape.
 Prior knowledge
Identification of polygons and and reflective symmetry.
 Stages in the curriculum
 Materials
Measuring tool, Origami sheets 15 cm x 15 cm.