1. 18.1 Congruence and Similarity p.394 Quick Review Quick Review Objective: to learn how to use translations, rotations, and reflections to transform geometric shapes Objective: to learn how to use translations, rotations, and reflections to transform geometric shapes Vocabulary : Vocabulary : transformation = change movement of a shape without changing the size or shape transformation = change movement of a shape without changing the size or shape translation = “slide” figure along a straight line translation = “slide” figure along a straight line rotation = “turn” figure around a point rotation = “turn” figure around a point reflection = “flip” figure over a line reflection = “flip” figure over a line Guided Learning: Review divisibility rules (slide 2) Review divisibility rules (slide 2) Review EXAMPLES A. and B. -- How did you decide 610 was not divisible by 3? Review EXAMPLES A. and B. -- How did you decide 610 was not divisible by 3? Quick Review Quick Review Objective: to learn how to use translations, rotations, and reflections to transform geometric shapes Objective: to learn how to use translations, rotations, and reflections to transform geometric shapes Vocabulary : Vocabulary : transformation = change movement of a shape without changing the size or shape transformation = change movement of a shape without changing the size or shape translation = “slide” figure along a straight line translation = “slide” figure along a straight line rotation = “turn” figure around a point rotation = “turn” figure around a point reflection = “flip” figure over a line reflection = “flip” figure over a line Guided Learning: Review divisibility rules (slide 2) Review divisibility rules (slide 2) Review EXAMPLES A. and B. -- How did you decide 610 was not divisible by 3? Review EXAMPLES A. and B. -- How did you decide 610 was not divisible by 3? Harcourt Math Glossary Harcourt Math Glossary Practice transformations Practice transformations Tessallations Slideshow Tessallations Slideshow How to Escher Tessellate How to Escher Tessellate

2. Tessellation Project 1. Draw on the “North” edge 1. Draw on the “North” edge 2. Draw on the “East” edge 2. Draw on the “East” edge 3. Cut out carefully edge #1 and tape to the 3. Cut out carefully edge #1 and tape to the “South”edge 4. Cut out carefully edge #2 and tape to the 4. Cut out carefully edge #2 and tape to the “West” edge *Trace starting from the center of your white sheet of paper and repeat tessellation until paper is filled out. *Add to every other tessellation pattern one of the following: texture rubbing, pattern (i.e. dots, stars, stripes, face, etc.) *Let the remainder of your patterns be a ONE solid color 1. Draw on the “North” edge 1. Draw on the “North” edge 2. Draw on the “East” edge 2. Draw on the “East” edge 3. Cut out carefully edge #1 and tape to the 3. Cut out carefully edge #1 and tape to the “South”edge 4. Cut out carefully edge #2 and tape to the 4. Cut out carefully edge #2 and tape to the “West” edge *Trace starting from the center of your white sheet of paper and repeat tessellation until paper is filled out. *Add to every other tessellation pattern one of the following: texture rubbing, pattern (i.e. dots, stars, stripes, face, etc.) *Let the remainder of your patterns be a ONE solid color 1 - draw 3 - tape 2 - draw 4 - tape

3. by D. Fisher Geometric Transformations

4. Reflection, Rotation, or Translation 1.

5. Reflection, Rotation, or Translation 2.

6. Reflection, Rotation, or Translation 3.

7. Reflection, Rotation, or Translation 4.

8. Reflection, Rotation, or Translation 5.

9. Reflection, Rotation, or Translation 6.

10. Reflection, Rotation, or Translation 7.

11. Reflection, Rotation, or Translation 8.

12. Reflection, Rotation, or Translation 9.

13. Why is this not perfect reflection? 10.

14. Reflection, Rotation, or Translation 11.

15. Reflection, Rotation, or Translation 12.

16. Reflection, Rotation, or Translation 13.

17. Reflection, Rotation, or Translation 14.

18. Reflection, Rotation, or Translation 15.

19. Reflection, Rotation, or Translation 16.

20. Reflection, Rotation, or Translation 17.

21. Reflection, Rotation, or Translation 18.

22. Reflection, Rotation, or Translation 19.

23. Reflection, Rotation, or Translation 20.

24. Reflection, Rotation, or Translation 21.

25. Reflection, Rotation, or Translation 22.

26. The End

27. 18.2 Tessellations p.397 Quick Review Quick Review Objective: to learn how to use polygons to make tessellations and how to make figures for tessellations. Objective: to learn how to use polygons to make tessellations and how to make figures for tessellations. Vocabulary : Vocabulary : tessellation = repeating arrangement of shapes completely covering a plane w/ NO gaps or overlaps tessellation = repeating arrangement of shapes completely covering a plane w/ NO gaps or overlaps Guided Learning: Review divisibility rules (slide 2) Review divisibility rules (slide 2) Review EXAMPLES A. and B. -- How did you decide 610 was not divisible by 3? Review EXAMPLES A. and B. -- How did you decide 610 was not divisible by 3? Quick Review Quick Review Objective: to learn how to use polygons to make tessellations and how to make figures for tessellations. Objective: to learn how to use polygons to make tessellations and how to make figures for tessellations. Vocabulary : Vocabulary : tessellation = repeating arrangement of shapes completely covering a plane w/ NO gaps or overlaps tessellation = repeating arrangement of shapes completely covering a plane w/ NO gaps or overlaps Guided Learning: Review divisibility rules (slide 2) Review divisibility rules (slide 2) Review EXAMPLES A. and B. -- How did you decide 610 was not divisible by 3? Review EXAMPLES A. and B. -- How did you decide 610 was not divisible by 3? Harcourt Math Glossary Harcourt Math Glossary Practice Tessellations Practice Tessellations Slideshow Tessellations Slideshow How to Escher Tessellate How to Escher Tessellate Escher Examples Escher Examples

28. 18.4 Symmetry p. 402 Quick Review Quick Review Objective: to learn how to identify line symmetry and rotational symmetry Objective: to learn how to identify line symmetry and rotational symmetry Vocabulary : Vocabulary : line symmetry = can be folded or reflected so that the two parts match line symmetry = can be folded or reflected so that the two parts match line of symmetry = the line across which the figure is “symmetric” line of symmetry = the line across which the figure is “symmetric” rotational symmetry = can be rotated less than 360 degrees around its center point (i.e. 90, 180, or 270 - not 360!) rotational symmetry = can be rotated less than 360 degrees around its center point (i.e. 90, 180, or 270 - not 360!) point of rotation = center point point of rotation = center point Quick Review Quick Review Objective: to learn how to identify line symmetry and rotational symmetry Objective: to learn how to identify line symmetry and rotational symmetry Vocabulary : Vocabulary : line symmetry = can be folded or reflected so that the two parts match line symmetry = can be folded or reflected so that the two parts match line of symmetry = the line across which the figure is “symmetric” line of symmetry = the line across which the figure is “symmetric” rotational symmetry = can be rotated less than 360 degrees around its center point (i.e. 90, 180, or 270 - not 360!) rotational symmetry = can be rotated less than 360 degrees around its center point (i.e. 90, 180, or 270 - not 360!) point of rotation = center point point of rotation = center point Harcourt Math Glossary Harcourt Math Glossary Line of Symmetry Tutorial Line of Symmetry Tutorial Rotational Symmetry Tutorial Rotational Symmetry Tutorial Symmetry Examples in Life Symmetry Examples in Life