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Period 08 TURN IN ALL HW INCLUDING YOUR PROJECT FROM YESTERDAY GET BUSY ON YOUR BELL RINGER BELOW. Bell Ringer (5 minutes) 1-7 Worksheet on your desk. p. 16 Complete the chart Refer to your notes on 1-7 or go to p. 69. Content Standards
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Period 08 • TURN IN ALL HW INCLUDING YOUR PROJECT FROM YESTERDAY • GET BUSY ON YOUR BELL RINGER BELOW. Bell Ringer (5 minutes) 1-7 Worksheet on your desk. • p. 16 Complete the chart • Refer to your notes on 1-7 or go to p. 69
Content Standards G.GMD.3 Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems. Mathematical Practices 2 Reason abstractly and quantitatively. 6 Attend to precision. CCSS
You identified and named two-dimensional figures. • Identify and name three-dimensional figures. • Find surface area and volume. Then/Now
cylinder • cone • sphere • regular polyhedron • Platonic solid • surface area • volume • polyhedron • face • edge • vertex • prism • base • pyramid Vocabulary
A solid with all flat surfaces that enclose a single region of space is called a polyhedron. • Each flat surface is called a face. • The line segments where the faces intersect are called edges. • The point where 3 or more edges meet is called the vertex. • Polyhedrons are named by the shape of their bases.
Identify Solids A.Determine whether the solid is a polyhedron. Then identify the solid. If it is a polyhedron, name the bases, faces, edges, and vertices. Example 1
Answer: rectangular prism;Bases: rectangles EFHG, ABDCFaces: rectangles FBDH, EACG, GCDH,EFBA, EFHG, ABDC Vertices: A, B, C, D, E, F, G, H Identify Solids The solid is formed by polygonal faces, so it is a polyhedron. The bases are rectangles. This solid is a rectangular prism. Example 1
Identify Solids B.Determine whether the solid is a polyhedron. Then identify the solid. Example 1
Identify Solids The solid is formed by polygonal faces, so it is a polyhedron. The bases are hexagons. This solid is a hexagonal prism. Example 1
Identify Solids C.Determine whether the solid is a polyhedron. Then identify the solid. If it is a polyhedron, name the bases, faces, edges, and vertices. Example 1
Identify Solids The solid has a curved surface, so it is not a polyhedron. The base is a circle and there is one vertex. So, it is a cone. Answer:Base: circle TVertex:Wno faces or edges Example 1
A. Identify the solid. Example 1
B. Identify the solid. Example 1
C. Identify the solid. Example 1
A polyhedron is a regular polyhedron if all of its faces are regular congruent polygons and all the edges are congruent. • There are exactly 5 types of regular polyhedrons. See p. 68. They are called Platonic Solids since Plato used them a lot.
Surface Area is a 2-dimensional measurement of the surface of a solid figure. The surface area is the sum of the areas of each faces. • Volume is the measurement of the amount of space enclosed by a solid figure.
π π . Use a calculator. Find Surface Area and Volume Find the surface area and volume of the cone. Example 2
Volume of a cone r = 3, h = 4 Simplify. Use a calculator. Find Surface Area and Volume Answer: The cone has a surface area of about 75.4 cm2 and a volume of about 37.7 cm3. Example 2
Find the surface area and volume of the triangular prism. Example 2
A. Jenny has some boxes for shipping merchandise. Each box is in the shape of a rectangular prism with a length of 18 inches, a width of 14 inches, and a height of 10 inches. Find the surface area and volume of the box. Example 3
Chapter 1 Test Monday • Skills Review – Packet Activity You may write on the Skills Review Sheet. Rules: You must do at least one problem from each skill per lesson. You have 10 minutes per round. We will do about 3 rounds. Finish the packet for HW.
Period 02 – SKILLS REVIEW roup 1 Group 2 Group 3 Group 4 Group 1 Group 2 Group 3 Group 4 Lesson 1-1 Lesson 1-2 Lesson 1-3 Lesson 1-4 Group 5 Group 6 Group 7 Group 8 Lesson 1-5 Lesson 1-6 Lesson 1-7 Lesson 1-8
Period 08 – SKILLS REVIEW Choose your seat roup 1 Group 2 Group 3 Group 4 Group 1 Group 2 Group 3 Group 4 Lesson 1-1 Lesson 1-2 Lesson 1-3 Lesson 1-4 Group 5 Group 6 Group 7 Group 8 Lesson 1-5 Lesson 1-5 Lesson 1-6 Lesson 1-7