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# Explore Perimeter and Area of Composite Shapes

Lesson 1 of 37

## Objective: Students will be able to explore the differences between area and perimeter using models

## Big Idea: Students further their understanding of area and perimeter by first considering a design for a bumper car ride.

*36 minutes*

#### Examples

*1 min*

Teacher introduces the lesson starter (hook) followed by objective. Teacher shows the exit ticket problems to explain criteria for success. Students follow lesson presentation and write in guided notes when expected to. (8-10 minutes)

I will hold up an inch square (color tile) and a ruler or measuring tape. I’ll ask: “What do these objects have in common? What is different?” I’ll accept a wide variety of answers but will stress precise languarge as students give examples (**MP6**). The point is for students to understand that these 2 tools are used to measure different attributes of an object. (**MP5)**. It also serves as a pre-assessment of how what students know/remember about area and perimeter.

The floor tiles and rails of a bumper car attraction are used as a metaphor for area and perimeter respectively. The questions on the first two examples are meant to help students make this connection: rails à perimeter and floor tilesàarea.

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Students work with their neighbors to find the area and perimeter of a possible bumper car floor. Both shapes have the same area but a different perimeter. The point is for students to see that shapes with the same area do not necessarily have the same perimeter. Then students are asked to create a shape with the same perimemter but different area. This can be a challenge. The color tiles allow students to explore and sucessfully problem-solve (**MP1)** without feeling pressure to get the right answer immediately. I will break this section into two parts. I want to make sure students have sucessfuly completed GP1-GP4 before moving on. When we discuss solutions to GP5, I will display various student solutions on the SmartBoard using the document camera. I will ask students to discuss with their partners whether or not each shape meets the criteria. The discussion of this problem and GP6 provide a good opportunity for students to practice presented evidence (**MP3)** at a basic level.

Next students work independently on a similar set of problems. Before they begin, I will point on question #6, so that students are ready for a brief discussion. This question will be used to help summarize what we know about area and perime

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#### Lesson Summary + Homework

*10 min*

We will quickly discuss solutions to the independent problem solving. Again, question #6 is meant to solidify a student’s understanding of the difference between area and perimeter. Students will then take the exit

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- LESSON 1: Explore Perimeter and Area of Composite Shapes
- LESSON 2: Perimeter of Irregular Rectilinear Shapes
- LESSON 3: Area of Composite Shapes Using a Grid
- LESSON 4: Area of Composite Shapes
- LESSON 5: Area of Regions Formed by Inscribed Shapes
- LESSON 6: CORNERSTONE:Circle Ratios: Diameter to Radius; Circumference to Diameter
- LESSON 7: CORNERSTONE: Circumference Formula
- LESSON 8: Area of a Circle
- LESSON 9: Circumference & Area Fluency Practice
- LESSON 10: Finding the Radius From a Given Circumference or Area
- LESSON 11: Circumference from Area / Area from Circumference
- LESSON 12: Circle Designs: Finding the Area and Perimeter of Shapes Composed of Arcs and Line Segments
- LESSON 13: Assessment_Area and Perimeter (Circumference) of Composite Shapes and Circles
- LESSON 14: Drawing Prisms & Pyramids
- LESSON 15: Describe Prisms and Pyramids Using Algebra
- LESSON 16: Using Nets to Find the Surface Area of Prisms
- LESSON 17: Using a Formula to Find the Surface Area of Prisms
- LESSON 18: Finding the surface area of triangular prisms using a net
- LESSON 19: Finding the Surface Area of a Triangular Prism Using A Formula
- LESSON 20: Discovering the Formula for the Surface Area of A Cylinder
- LESSON 21: Finding the Surface Area of Cylinders Using a Formula
- LESSON 22: Practice Day: Surface Area of Prisms & Cylinders
- LESSON 23: Surface Area of Prisms and Cylinders Assessment
- LESSON 24: Finding the Surface Area of Pyramids Using Nets
- LESSON 25: Finding the Surface Area of Pyramids Using a Formula
- LESSON 26: Surface Area of Composite Shapes
- LESSON 27: Surface Area of Composite Shapes With Holes
- LESSON 28: Surface Area Assessment
- LESSON 29: 3-D Models from 2-D Views
- LESSON 30: Exploring Volume and Surface Area with Unifix Cubes
- LESSON 31: Explore Volume of Rectangular Prisms
- LESSON 32: Find the Volume of Prisms Using a Formula
- LESSON 33: Volume Of Cylinders Using a Formula
- LESSON 34: Volume of Composite Shapes
- LESSON 35: Volume and Surface Area - Accelerated Math Fluency Day
- LESSON 36: Volume of Pyramids
- LESSON 37: Surface Area and Volume Final Assessment