Welcome To Geometry Day 2 Choose a Warm-Up Activity

1. Welcome To Geometry Day 2 Choose a Warm-Up Activity Build a stairway like the one below. Pack all 6 flat cubes into the box! Without separating individual cubes, twist and turn to make a solid cube. You must be able to close the lid!

2. Spatial Thinking Geometric Properties Location and Movement Day 1 Day 2 Geometry & Spatial Sense Geometric Relationships Day 1 and Day 2

3. Visualization • Each picture will appear for a few seconds. • When it disappears, draw what you saw.

4. Draw This

5. And This

6. And This

7. And This

8. One More…With A Twist!

9. Visualization Visualization involves thinking in pictures and images, and the ability to perceive, transform and recreate different aspects of the visual-spatial world. The use of visualization in the study of mathematics provides students with opportunities to understand mathematical concepts and make connections among them.

10. Face Flash Get Ready To Show Your Shape!

11. Find the Shape!

12. Find the Shape!

13. Find the Shape!

14. Find the Shape!

15. Geoboard Stars

16. Isometric Dot Paper

17. Practice Makes Perfect!

18. change in depth change in depth top view top view front view front view right view right view left view left view Can you build a single structure that matches all four views?

19. Shapes From Squares Sketch all the shapes you can make by folding on the creases. What name would you give each shape?

20. Visualization Across The Strands The student in this video clip has not been taught how to add fractions. She uses visualization to find a solution.

21. 1 2 3 4 5 6 Try To Guess What Has Been Photographed

22. 1 2 3 4 5 6 http://www.whatsfordinner.net/Mystery.html#rec

23. Geometric Relationships Tangrams ISBN-10: 0517885581 ISBN-10: 0590308572

24. Make the famous Tangram Square What would you create with your 7 magic shapes if you were the third little pig?

25. Cooperative Stories Once upon a time there was a boy named Joe he always rode his bike around the city. One day he rode around on his bike and he saw a sad dog. He stopped his bike and then he went to go talk to the dog. The dog was just sitting there doing nothing. The boy made the dog feel better. Then the dog ran off joyfully. The second day he rode his bike around the city again. He saw a cat just sitting there he went to talk to the cat and then the cat ran off happily.

26. The third day he rode his bike to the zoo. He saw a goose the goose was running around in the zoo. The zookeeper yelled at the goose to tell him to get back in its cage. Then the goose got sad and then Joe talked to the goose and then the goose was happy. The fourth day Joe stayed home that day because he was sad. Then the goose, the cat, and the dog came to see Joe and they knew Joe was sad and then they talked to Joe and then Joe got happy and then they all went outside to play in the backyard. When they were done they went to sleep. Then End

27. Geometric Relationships Geometric Relationships • Create each of these four quadrilaterals using: • any three tans • 4 tans including the square • 5 tans including the square tan • all seven tans

28. Congruency

29. Congruency • Are there any other congruent tans? • What other tans can go together to make a shape that is congruent to another tan? • Make a shape that is congruent to the biggest triangle tan. Use two or three tans? • Make a shape with the two biggest triangle tans. Make a congruent shape using all of the other tans?

30. Stages of Development

31. Stages Of Development Bow-wow Precomposer Piece Assembler Picture Maker Substitution Composer Shape Composer Shape Composite Repeater

32. Master Templates for Tangram and Pattern Block Designs In The Guide To Effective Instruction (Geometry) Binder

33. How many triangles can you build using different combinations of tangram pieces? Problem Solving Choose A Task Using four triangles from the pattern block set, how many different shapes can you make? How could you keep track of the different shapes you have made and whether they are the same or different?

34. Problem Solving OH NO! Some children mixed up their pattern block collections. Todd knows all his blocks together have 22 sides. What blocks might be in Todd’s collection?

35. Flower Power Game Page 109, gr.1 Guide To Effective Instruction

36. Location and Movement

37. The Traffic Light Rhyme Red on top Green below Red means stop Green means go Yellow means wait, Even if you’re late. Describe the light, top, bottom, middle, above, below. Describe Position and Location

38. Describe Position and Location • Variations on Tic Tac Toe • Place your partners cubes • Use a 4 x 4 grid

39. Coordinates are an ordered pair of numbers that give the location of a point on a grid. (3, 4) Definition 6 5 (3,4) 4 3 2 1 0 0 1 2 3 4 5 6

40. The first number is always the x or first letter in the alphabet. The second number is always the y the second letter in the alphabet. 6 5 (3,4) 4 3 2 1 0 0 1 2 3 4 5 6

41. When the number lines are extended into the negative number lines you add 3 more quadrants to the coordinate grid. y 3 2 1 x 0 -1 -2 -3 -3 -2 -1 0 1 2 3

42. If the x is negative you move to the left of the 0. x = -2 y 3 2 1 x 0 -1 -2 -3 -3 -2 -1 0 1 2 3

43. If the y is negative you move down below the zero. y = -3 y 3 2 1 x 0 -1 -2 -3 -3 -2 -1 0 1 2 3

44. (-3, -2) Plot This Ordered Pair y 3 2 1 x 0 -1 -2 -3 -3 -2 -1 0 1 2 3

45. (2, -2) y 3 2 1 x 0 -1 -2 -3 -3 -2 -1 0 1 2 3

46. Bears On A Line Build Its Cooperative Games

47. The Geometry of Motion Translations (Slides) Reflections (Flips) Rotations (Turns)

48. Translation To translate an object means to move it without rotating or reflecting it. Every translation has a direction and a distance.

49. Reflection • To reflect an object means to produce its mirror image. Every reflection has a mirror line. A reflection of an "R" is a backwards "R".

50. Rotation • To rotate an object means to turn it around. Every rotation has a center and an angle.