# Bell Ringer Get out your notebook and prepare to take notes on Chapter 8 What is the difference between two-dimensional and three-dimensional?

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Bell Ringer Get out your notebook and prepare to take notes on Chapter 8 What is the difference between two-dimensional and three-dimensional?

Measurement

8.1 - Solids (Page 354) Essential Question: How do we identify solids, parts of solids, and skew lines?

8.1 cont. Solids: DO NOT lie in a plane Have length, width, and height Common Solids: 1. Prism 2. Pyramid 3. Cylinder 4. Cone 5. Polyhedron 6. Sphere

8.1 cont. Prism: Two parallel bases that are congruent polygons Lateral faces are parallelograms Named by the shape of its bases ^^PENTAGONAL PRISM^^

8.1 cont. Pyramid: Exactly 1 polygonal base Lateral faces are triangles Named by the shape of its base ^^SQUARE PYRAMID^^

8.1 cont. Cylinder: Two circular bases that are parallel

8.1 cont. Cone: Exactly one circular base and one vertex

8.1 cont. Polyhedron: Faces are all polygons Of the solids we’ve studied, ONLY prisms and pyramids are polyhedrons

8.1 cont.

Skew Lines: Lines that do not intersect Are not parallel Unlike parallel or intersecting lines, they DO NOT lie in the same plane

8.1 cont. Example 3: Name a pair of skew line segments and a pair of parallel line segments in the figure below:

8.1 - Closure How do we identify solids, parts of solids, and skew lines? Solids: Length, width, height Parts of Solids: Bases, edges, faces Skew Lines: Do not intersect, and are not parallel

8.1 - Homework Page 356-357, 2-18 even

Bell Ringer Get out your 8.1 homework assignment Get out your notebook and prepare to take notes on Section 8.3 Name a pair of skew line segments, a pair of parallel line segments, describe the base, and name the following figure:

8.3 – Nets and Three-Dimensional Figures (Page 364) Essential Question: How can we turn two-dimensional figures into three-dimensional figures?

8.3 cont. Net: A pattern that can be folded to form a solid A net of a figure shows all the surfaces of that figure in one view

8.3 cont.

Instructions: 1.Cut out your net 2.Fold along edges 3.Tape sides together to form a solid 4.Describe the base and name the figure

8.3 - Closure How can we turn two-dimensional figures into three- dimensional figures? USE NETS!!

8.3 - Homework Page 365-366, 1-9

Bell Ringer Get out your 8.3 homework assignment Get out your notebook and prepare to take notes on Section 8.4 Identify the solid that the following net forms: CONE

8.4 – Surface Areas of Prisms and Cylinders (Page 368) Essential Question: How do we find the surface area of a prism and a cylinder?

8.4 cont. Surface Area Total area of its net Sum of the area of the surfaces of a solid

8.4 cont. Example 1: Use a net to find the surface area of the following prism: STEPS: 1.Draw a net of the prism 2.Find the area of each rectangle in the net 3.Add the areas to find the surface area

8.4 cont. Lateral Area: Lateral = “on the side” Sum of the areas of the lateral surfaces of a solid

8.4 cont. Surface Area of a Prism:

8.4 cont. Example 2: Find the surface area of the following prism:

8.4 cont. Surface Area of a Cylinder:

8.4 cont. Example 2: Find the surface area of the following cylinder:

8.4 - Closure How we you find the surface area of a prism and a cylinder? Find the lateral area and add it to the area of the bases

8.4 - Homework Page 371-372, 2-20 even, SKIP 14

Bell Ringer Get out your 8.4 homework assignment Get out your notebook and prepare to take notes on Section 8.5 Use a net to find the surface area of the given prism:

8.5 – Surface Areas of Pyramids and Cones (Page 374) Essential Question: How do we find the surface area of a pyramid and a cone?

8.5 cont. Slant Height: Height of a pyramid’s lateral faces

8.5 cont. Finding Surface Area Using Nets (PYRAMID): Example 1: Find the surface area of the following square pyramid:

8.5 cont. Lateral Area and Surface Area of a Pyramid:

8.5 cont. Finding Surface Area Using a Formula (PYRAMID): Example 2: Find the surface area of the following square pyramid:

8.5 cont. Surface Area of a Cone: Curved surface of a cone is its lateral surface

8.5 cont. Lateral Area and Surface Area of a Pyramid:

8.5 cont. Finding Surface Area Using a Formula (CONE): Example 3: Find the surface area of the following cone:

8.5 - Closure How do we find the surface area of a pyramid and a cone? Find the lateral area and add it to the area of the base

8.5 - Homework Page 377-378, 6-14, 18-20

Bell Ringer Get out your 8.4 homework assignment Get out your notebook and prepare to take notes on Section 8.6 Use a net to find the surface area of the given prism:

8.6 – Volumes of Prisms and Cylinders (Page 380) Essential Question: How do we find the volume of prisms and cylinders?

8.6 cont. Volume - Number of unit cubes needed to fill a solid Volume of a Prism:

8.6 cont. Example 1: Find the volume of the following prism:

8.6 cont. Example 1: Find the volume of the following triangular prism:

8.6 cont. Volume of a Cylinder:

8.6 cont. Example 1: Find the volume of the following cylinder:

8.6 - Closure

8.6 - Homework Page 382-383, 3-15

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