Translations

Last updated almost 8 years ago

12 questions

Note from the author:

This mini lesson introduces to students to formal translations of a shape. Emphasis on developing the 'vector' as the way to descibe a translation. Students have an opportunity to play with translations in a guided fashion using Geogebra applets.

Translations

Translations

In the above box, click the translate tool button (looks like 2 arrows) and then click the blue triangle and the vector u1. Describe what happened to the triangle.

The new blue triangle is the exact same size as the original triangle.

Move the vector u1 such that the head (arrow) end of the vector is exactly on a lattice point (a corner). What is the SLOPE of the vector? Enter your answer as a fraction of the form a/b.

Using the slope as your guide, describe what happened to the triangle. Use words like "up/down" and "left/right".

What is the vector you used above? Write it in the form <a,b>.

Consider two vectors <10,2> and <5,1>.

Compare and contrast these two vectors. What is the same about them and what is different?

Which vector tanslates the blue triangle to the orange triangle?

Which vector tanslates the blue triangle to the green triangle?

Which vector tanslates the green triangle to the orange triangle?

Write vector v in the format <a,b>.

Take a screen shot of your completed puzzle and put in the box below using the image tool.

In the above box, click the translate tool button (looks like 2 arrows) and then click the blue triangle and the vector u1. Describe what happened to the triangle.

The new blue triangle is the exact same size as the original triangle.

Move the vector u1 such that the head (arrow) end of the vector is exactly on a lattice point (a corner). What is the SLOPE of the vector? Enter your answer as a fraction of the form a/b.

Using the slope as your guide, describe what happened to the triangle. Use words like "up/down" and "left/right".

What is the vector you used above? Write it in the form <a,b>.

Consider two vectors <10,2> and <5,1>.

Compare and contrast these two vectors. What is the same about them and what is different?

Which vector tanslates the blue triangle to the orange triangle?

Which vector tanslates the blue triangle to the green triangle?

Which vector tanslates the green triangle to the orange triangle?

Write vector v in the format <a,b>.

Take a screen shot of your completed puzzle and put in the box below using the image tool.

Translations

Translations

In the above box, click the translate tool button (looks like 2 arrows) and then click the blue triangle and the vector u1. Describe what happened to the triangle.

The new blue triangle is the exact same size as the original triangle.

Move the vector u1 such that the head (arrow) end of the vector is exactly on a lattice point (a corner). What is the SLOPE of the vector? Enter your answer as a fraction of the form a/b.

Using the slope as your guide, describe what happened to the triangle. Use words like "up/down" and "left/right".

What is the vector you used above? Write it in the form <a,b>.

Consider two vectors <10,2> and <5,1>. Compare and contrast these two vectors. What is the same about them and what is different?

Which vector tanslates the blue triangle to the orange triangle?

Which vector tanslates the blue triangle to the green triangle?

Which vector tanslates the green triangle to the orange triangle?

Write vector v in the format <a,b>.

Take a screen shot of your completed puzzle and put in the box below using the image tool.

In the above box, click the translate tool button (looks like 2 arrows) and then click the blue triangle and the vector u1. Describe what happened to the triangle.

The new blue triangle is the exact same size as the original triangle.

Move the vector u1 such that the head (arrow) end of the vector is exactly on a lattice point (a corner). What is the SLOPE of the vector? Enter your answer as a fraction of the form a/b.

Using the slope as your guide, describe what happened to the triangle. Use words like "up/down" and "left/right".

What is the vector you used above? Write it in the form <a,b>.

Consider two vectors <10,2> and <5,1>. Compare and contrast these two vectors. What is the same about them and what is different?

Which vector tanslates the blue triangle to the orange triangle?

Which vector tanslates the blue triangle to the green triangle?

Which vector tanslates the green triangle to the orange triangle?

Write vector v in the format <a,b>.

Take a screen shot of your completed puzzle and put in the box below using the image tool.

Consider two vectors <10,2> and <5,1>.

Compare and contrast these two vectors. What is the same about them and what is different?

Consider two vectors <10,2> and <5,1>.

Compare and contrast these two vectors. What is the same about them and what is different?