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.

You identified and named two-dimensional figures.

• Identify and name three-dimensional figures.

• Find surface area and volume.

• polyhedron

• face

• edge

• vertex

• prism

• base

• pyramid

• cylinder

• cone

• sphere

• regular polyhedron

• Platonic solid

• surface area

• volume

• 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.

Identify Solids

The solid is formed by polygonal faces, so it is a polyhedron. The bases are rectangles. This solid is a rectangular prism.

Answer: rectangular prism;Bases: rectangles EFHG, ABDC

Faces: rectangles FBDH, EACG, GCDH,

EFBA, EFHG, ABDC

Vertices: A, B, C, D, E, F, G, H

Identify Solids

B. Determine whether the solid is a polyhedron. Then identify the solid.

Identify Solids

The solid is formed by polygonal faces, so it is a polyhedron. The bases are hexagons. This solid is a hexagonal prism.

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.

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

A. Identify the solid.

B. Identify the solid.

C. Identify the solid.

• Do p. 70 – 71 1, 6, 9, 12, 15 as a class

• 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.

Find Surface Area and Volume

Find the surface area and volume of the cone.

π π

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.

r = 3, h = 4

Volume of a cone

Simplify.

Use a calculator.

Find the surface area and volume of the triangular prism.

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.

• Do p. 71 19, 22, 23, 38

• 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 REVIEWroup 1 Group 2 Group 3 Group 4Group 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 seatroup 1 Group 2 Group 3 Group 4Group 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