Translations learning materials grade 8.pptx

Translations learning materials grade 8.pptx

1. Explore Translations Session 1

2. Give Me Five Use all the numbers in any order with any operation to equal the target number (in red).

3. In My Head? of 83     How would you solve each problem – in your head, on paper, or with a calculator?  

4. What do you notice? What do you wonder? Be Curious Mindset

5. What do you notice? What do you wonder? Be Curious Mindset What do you want your classmates to know about your math journey?

6. A building is being relocated to preserve a historic structure. Its new location will be 600 feet east and 500 feet south of its current location. How will the relocation affect the building? Building Relocation

7. The building moves 600 feet east and 500 feet south of its current location. On this map,   Building Relocation

8. The building moves 600 feet east and 500 feet south of its current location. Using the map, where will the building be after it moves? Collaborate and Connect Reveal :

9. The building moves 600 feet east and 500 feet south of its current location. Using the map, where will the building be after it moves? Collaborate and Connect Reveal :

10. The building moves 600 feet east and 500 feet south of its current location. Using the map, where will the building be after it moves? Collaborate and Connect Precision

11. The building moves 600 feet east and 500 feet south of its current location. Using the map, where will the building be after it moves? Collaborate and Connect Precision What level of precision does this solution require?

12. How will the relocation affect the building? After moving 600 feet east, the building's location is shown. Building Relocation

13. After moving 600 feet east and 500 feet south of its current location, the building’s new location is shown. The building in the new location is a translation of the building in the old location. Think About It : Building Relocation

14. After moving 600 feet east and 500 feet south of its current location, the building’s new location is shown. The building in the new location is a translation of the building in the old location. Think About It : Was the building changed in any way when it moved to the new location? Building Relocation

15. A transformation is a change in a figure. The change can be its position, shape, or size. A translation is a transformation that slides a figure a given distance in a given direction. This is a rigid motion transformation because the shape and size of the figure do not change. Building Relocation

16. A building is being relocated to preserve a historic structure. Its new location will be 600 feet east and 500 feet south of its current location. How will the relocation affect the building? Only the location of the building will change. The building will still have the same size, shape, and orientation. Building Relocation

17. Workspace What remains the same about the building? Let’s Explore More What could be some other translations of the building? Workspace

18. Explore Translations Session 2

19. What questions could you ask? Be Curious Mindset

20. What questions could you ask? Be Curious Mindset What have you shared with your classmates about your math journey?

21. The vertices for trapezoid KLMN are , , , and . The trapezoid will be translated 5 units to the left and 3 units up. Where will the trapezoid be after being translated?   Figures on a Coordinate Plane Using Symbols Appropriately

22. Figures on a Coordinate Plane Using Symbols Appropriately What mathematical notation is appropriate for this problem? The vertices for trapezoid KLMN are , , , and . The trapezoid will be translated 5 units to the left and 3 units up. Where will the trapezoid be after being translated?  

23. How do the coordinates change when a figure is moved to the left? when the figure is moved up? Reveal : Figures on a Coordinate Plane

24. Reveal : When a figure moves to the left, you subtract the by the number of units it moved. When a figure moves up, you add the number of units it moved to the .   Figures on a Coordinate Plane How do the coordinates change when a figure is moved to the left? when the figure is moved up?

25. The vertices for trapezoid KLMN are and Where are the new vertices after the trapezoid is moved 5 units to the left and 3 units up?   Collaborate and Connect Reveal :

26. Collaborate and Connect Reveal : and .   The vertices for trapezoid KLMN are and Where are the new vertices after the trapezoid is moved 5 units to the left and 3 units up?  

27. The pre-image is the original figure. The image is the figure after the transformation. Figures on a Coordinate Plane

28. The vertices for trapezoid are and The trapezoid will be translated 5 units to the left and 3 units up. Where will the trapezoid be after being translated?   The vertices of trapezoid are and   Figures on a Coordinate Plane Think About It :

29. The vertices for trapezoid are and The trapezoid will be translated 5 units to the left and 3 units up. Where will the trapezoid be after being translated?   The vertices of trapezoid are and   Figures on a Coordinate Plane Think About It : If the trapezoid was translated 3 units up and 5 units to the left, would the result be the same?

30. Workspace What statement can you make about the corresponding angle measures of trapezoid and trapezoid ?   Let’s Explore More Workspace What statement can you make about the side lengths of trapezoid and trapezoid ?  

31. A transformation makes changes to a geometric figure. The change can be to its position, orientation, or size. A translation creates a new figure whose position is different from the original figure while preserving the size, shape, and orientation of the original figure. As a result, corresponding line segments match line segments and corresponding angles match angles from one figure to the other. Summarize: Translations

32. An urban designer wants to change the location of the pavilion in order to increase the size of the parking lot. The dashed lines show where the designer plans to extend the parking lot. The community members are insistent that all existing features of the park must remain in the park at the same size and shape that they currently have. They do not object with features being moved around in the park. Apply: Park Site Plan

33. Question: What recommendation would you make to the urban designer for where to place the pavilion? Make sure to explain how you know your recommendation will work. Apply: Park Site Plan

34. I can translate figures on the coordinate plane. I can use coordinate notation to describe a translation (include direction and distance). I can use precision to explain why a translated figure preserves the same size and shape of the original figure. Learning Targets