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Identify each solid. Name the number and shapes of the faces. Then name the number of edges and vertices. 1. 2. Course 2, Lesson 8-1.

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Presentation on theme: "Identify each solid. Name the number and shapes of the faces. Then name the number of edges and vertices. 1. 2. Course 2, Lesson 8-1."— Presentation transcript:

1 Identify each solid. Name the number and shapes of the faces. Then name the number of edges and vertices. 1. 2. Course 2, Lesson 8-1

2 ANSWERS 1. cube; 6 faces, all squares; 12 edges; 8 vertices 2. rectangular prism; 6 faces, all rectangles; 12 edges; 8 vertices Course 2, Lesson 8-1

3 HOW do measurements help you describe real-world objects? Geometry Course 2, Lesson 8-1

4 Course 2, Lesson 8-1 Common Core State Standards © Copyright 2010. National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved. Geometry 7.G.4 Know the formulas for the area and circumference of a circle and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle. Mathematical Practices 1Make sense of problems and persevere in solving them. 3Construct viable arguments and critique the reasoning of others. 4Model with mathematics. 6Attend to precision. 8Look for and express regularity in repeated reasoning.

5 To find the diameter and radius of a circle To find the circumference of a circle Course 2, Lesson 8-1 Geometry

6 Course 2, Lesson 8-1 Geometry circle center circumference diameter radius pi (π)

7 Course 2, Lesson 8-1 Geometry WordsThe diameter d of a circle is twice its radius r. The radius r of a circle is half of its diameter d. Symbolsd = 2rr =

8 Course 2, Lesson 8-1 Geometry WordsThe circumference of a circle Model is equal to times its diameter of times twice its radius. Symbols c = d or C = 2 r

9 How did what you learned today help you answer the Course 2, Lesson 8-1 Geometry HOW do measurements help you describe real-world objects?

10 How did what you learned today help you answer the Course 2, Lesson 8-1 Geometry HOW do measurements help you describe real-world objects? Sample answers: The diameter is the distance across a circular object, passing through its center. The circumference is the distance around a circular object.

11 Find the diameter and circumference of a circle with a radius of 5 miles to the nearest tenth. Course 2, Lesson 8-1 Ratios and Proportional RelationshipsFunctionsGeometry

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