mathematics assessment project 2d representation of 3d objects ccss 7.g.3

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2D Representations of 3D Objects Projector Resources 2D Representations of 3D Objects Projector Resources

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The ppt file is provided with lesson from MAP project at http://map.mathshell.org/materials/lessons.php?gradeid=24. Students will be able to see the horizontal and vertical cross-section of a cylinder.

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Page 1: Mathematics Assessment Project 2D Representation of 3D Objects CCSS 7.G.3

2D Representations of 3D ObjectsProjector Resources

2D Representations of 3D Objects

Projector Resources

Page 2: Mathematics Assessment Project 2D Representation of 3D Objects CCSS 7.G.3

2D Representations of 3D ObjectsProjector Resources

Water Flowing Out of a Cylinder

P-2

3D View:

Page 3: Mathematics Assessment Project 2D Representation of 3D Objects CCSS 7.G.3

2D Representations of 3D ObjectsProjector Resources

Water Flowing Out of a Cylinder

P-3

3D View:

Page 4: Mathematics Assessment Project 2D Representation of 3D Objects CCSS 7.G.3

2D Representations of 3D ObjectsProjector Resources

Water Flowing Out of a Cylinder

P-4

3D View:

Page 5: Mathematics Assessment Project 2D Representation of 3D Objects CCSS 7.G.3

2D Representations of 3D ObjectsProjector Resources

Water Flowing Out of a Cylinder

P-5

3D View:

Page 6: Mathematics Assessment Project 2D Representation of 3D Objects CCSS 7.G.3

2D Representations of 3D ObjectsProjector Resources

Water Flowing Out of a Cylinder

P-6

3D View:

Page 7: Mathematics Assessment Project 2D Representation of 3D Objects CCSS 7.G.3

2D Representations of 3D ObjectsProjector Resources

3D and 2D views

P-7

Top view – surface of water:

3D View:

Page 8: Mathematics Assessment Project 2D Representation of 3D Objects CCSS 7.G.3

2D Representations of 3D ObjectsProjector Resources

Water Flows from Top Cylinder to Bottom Cylinder

P-8

Page 9: Mathematics Assessment Project 2D Representation of 3D Objects CCSS 7.G.3

2D Representations of 3D ObjectsProjector Resources

Water Flows into Bottom Cylinder

P-9

3D View:

Page 10: Mathematics Assessment Project 2D Representation of 3D Objects CCSS 7.G.3

2D Representations of 3D ObjectsProjector Resources

Water Flows into Bottom Cylinder

P-10

3D View:

Page 11: Mathematics Assessment Project 2D Representation of 3D Objects CCSS 7.G.3

2D Representations of 3D ObjectsProjector Resources

Water Flows into Bottom Cylinder

P-11

3D View:

Page 12: Mathematics Assessment Project 2D Representation of 3D Objects CCSS 7.G.3

2D Representations of 3D ObjectsProjector Resources

Water Flows into Bottom Cylinder

P-12

3D View:

Page 13: Mathematics Assessment Project 2D Representation of 3D Objects CCSS 7.G.3

2D Representations of 3D ObjectsProjector Resources

Water Flows into Bottom Cylinder

P-13

3D View:

Page 14: Mathematics Assessment Project 2D Representation of 3D Objects CCSS 7.G.3

2D Representations of 3D ObjectsProjector Resources

3D and 2D Views

P-14

Top view – surface of water:

3D View:

Page 15: Mathematics Assessment Project 2D Representation of 3D Objects CCSS 7.G.3

2D Representations of 3D ObjectsProjector Resources

Working Together

P-15

1. Your task is to match each set of shapes of the surface of the water with either a top or bottom container.

2. Some of the cards are missing shapes. You will need to draw these.

3. Take turns to match two cards Explain to the rest of the group how you came to your decision.

4. Your partner(s) should either explain that reasoning again in his/her own words, or challenge the reasons you gave.

5. Place your cards on the poster. Next to them, record your jointly agreed justification for the match.

Everyone in your group needs to be able to agree on and explain the match of every card.

Page 16: Mathematics Assessment Project 2D Representation of 3D Objects CCSS 7.G.3

2D Representations of 3D ObjectsProjector Resources

Sharing Work

P-16

1. If you are staying at your desk, be ready to explain the reasons for your group's matches.

2. If you are visiting another group, write your card matches on a piece of paper. Go to another groups’ desk and check to see which matches are different from your own.

3. If there are differences, ask for an explanation. If you still don't agree, explain your own thinking.

4. When you return to your own desk, you need to consider as a group, whether to make any changes to your work.

Everyone in your group needs to be able to agree on and explain the match of every card.

Page 17: Mathematics Assessment Project 2D Representation of 3D Objects CCSS 7.G.3

2D Representations of 3D ObjectsProjector Resources

Card Set: Flowing Water

P-17

Page 18: Mathematics Assessment Project 2D Representation of 3D Objects CCSS 7.G.3

2D Representations of 3D ObjectsProjector Resources

Card Set: Shape of the Surface of the Water

P-18

Page 19: Mathematics Assessment Project 2D Representation of 3D Objects CCSS 7.G.3

2D Representations of 3D ObjectsProjector Resources

Card Set: Shape of the Surface of the Water (2)

P-19