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# Unto the 4th Dimension

Lesson 2 of 15

## Objective: SWBAT describe points, lines, planes, and space in terms of the number of their dimensions. Students will understand the difference between solid and plane figures.

#### Lesson Open

*5 min*

Today's Warm Up** **asks students to explain the difference between "2-D" and "3-D". This gives me a chance to see what my students already know about the concept of dimension, and it gives them a chance to connect with prior knowledge. I find that many of my students know only a little: to some, "3-D" is a special enhancement to certain movies.

I display the prompt using the slideshow for the lesson. The lesson opener follows our Team Warm-up routine, with students writing their answers in their Learning Journals.

**Goal-Setting**

I display the Agenda and Learning Targets for today's lesson. I tell my students that "dimension" is a difficult word to define, so I will be giving them lots of examples to help them understand the concept. The movie we are about to see does a good job of introducing the main ideas. At the end of the lesson, they should be able to describe the difference between objects that are 3-dimensional and those which have only 2 dimensions.

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We will end this lesson by following our Team Size-Up routine. The Lesson Close prompt asks students to compare the number of dimensions of Flatland to the number of dimensions in our own world. I will refer to Flatland throughout the unit to help students understand the concept of a plane.

**Homework**

For homework, I assign problems #9-11 from Homework Set 1. These problems ask students to apply definitions and concepts that we have not really discussed, but were introduced in the movie. Problem #9 asks students to classify familiar geometric objects according to number of dimensions. Problem #10 asks students to find examples of polygons in the real world. I emphasize that the polygons do not have to be regular. Many can be found among the block letters on road signs during their bus ride home. Problem #11 introduces the concept of a cross-section, which was explored in the movie.

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- UNIT 1: Models and Constructions
- UNIT 2: Dimension and Structure
- UNIT 3: Congruence and Rigid Motions
- UNIT 4: Triangles and Congruence
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- UNIT 6: Scaling Up- Dilations, Similarity and Proportional Relationships
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- LESSON 1: Previewing Dimension and Structure
- LESSON 2: Unto the 4th Dimension
- LESSON 3: New Directions
- LESSON 4: Angle Management
- LESSON 5: Triangle Construction Site
- LESSON 6: Diagonal Daze
- LESSON 7: Platonic Relationships
- LESSON 8: Reviewing Structure
- LESSON 9: Flatland Encounters
- LESSON 10: Intersection Derby
- LESSON 11: Mission Impossible
- LESSON 12: Intersection Logic
- LESSON 13: Cutting Planes
- LESSON 14: Reviewing Intersections
- LESSON 15: Dimension & Structure Unit Quiz