0. Cover

Predict:

-- what is this story about?

 

 

1. A devious plan

Predict:

-- what might be the Martian invasion plan?

 

 

2. Math + coding attack

Predict:

-- will the Martian invasion plan work? why?

 

 

3. Earthlings

Predict:

-- what is Zork holding in his hand? what will he do with it?

 

 

4. A surprise

Predict:

-- what's your guess? how did Zork transform the square?

 

 

5. With code

Explore:

-- model rotations with code at researchideas.ca/sym/s2

 

 

6. A new spin on rotations

Explain:

-- what is a permutation? what is a rotation symmetry?

Predict:

-- how many symmetries does a square have? why?

 

 

7. Permutations

Explore:

-- list all the permutations with 1, 2, 3 & 4; circle the rotation symmetries

Predict:

-- how many reflection symmetries does a square have? why?

 

 

8. Flips

Explore:

-- model reflections with code at researchideas.ca/sym/s2

 

 

9. Combining flips

Explore:

-- model combining reflections with code at researchideas.ca/sym/s2

-- what did you learn about combinations of reflections?

 

 

10. It's a rotation!

Explain:

-- do combinations of reflections always result in a rotation? explain

 

 

11. Symmetry species

Explain:

-- what does Pix mean by "symmetry species"?

-- what does this have to do with a "closed set"?

 

 

12. A new plan

Predict:

-- what might "bumper symmetries" be about?

 

 

13. Triangle symmetries

Explore:

-- model rotations and reflections of the equilateral triangle with code at researchideas.ca/sym/s2

-- how are the symmetries of the triangle similar to or different from the symmetries of the square?

 

 

14. Bumper symmetries

Predict:

-- what are Zork and Gork up to?

 

 

15. Gravity-warp gizmos

Predict:

-- what are "bumper symmetries"?

 

 

16. What will happen?

Explore:

-- make a prediction

-- investigate Bumper Symmetries of the square at researchideas.ca/sym/s3

 

 

17. On for a ride

Explain:

-- what did you discover with Bumper Symmetries of the square? explain

 

 

18. Will the plan work?

Predict:

-- what will Zork and Gork do next?

 

 

19. Bumper triangles

Explore:

-- investigate Bumper Symmetries of the equilateral triangle at researchideas.ca/sym/s4

 

 

20. Prepare!

Explain:

-- what did you learn about symmetry?

-- what did you learn about coding?

-- what would you like to learn next?

Predict:

-- what might happen in sequel to this story?