HW: Complete WB 112 and finish Mtn. Math- Week 18

Do #1-8 (the entire page of WB 112)Make sure and follow the directions:1- Name each solid figure2- Record the # of faces, edges, and vertices (in this exact order) for each 3D figure.

Next slide has answers for WB 112--- show it when you are ready to check in class.

Answers for WB 112

~Take for a grade out of 30 questions#1-6 and #8 has 4 answers each Q

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Lesson 3

Comparing Shapes

Engage: Your group will be given 2 minutes to complete a task. After the time is up, your group must be able to answer the following questions:

• In what way did you use the prisms?

• “ “ “ “ “ “ “ pyramids?

• cones and cylinders? Sphere?

Your task is to build a structure in two minutes.

Discuss:

• In what ways were the three-dimensional shapes used in the design of objects in our classroom?

• In what way were the 3-D shapes combined in the design of objects?

Investigate• You will work with a partner from your group.• Each pair will need a cylinder and a prism that

appear to have similar dimensions– Discuss with your partner: How are the prism and

cylinder alike? How are they different? Use geometric attributes (characteristics) when discussing these.

– Write a comparison of the cylinder and prism in the journal on pg.6 #1. Then draw a cylinder and prism #2.

Discuss and Share:• As students share their ideas, record them

on the chart “comparing shapes.”

Cylinders and Prisms:

How are they alike?

How are they different?

Comparing Shapes

Cylinders and Prisms

Prisms have edges that are straight. Cylinders have edges that are circles.

Cylinders have 2 flat faces, and prisms have 5 or more.

Cylinders have a curved surface, and the prism does not.

If the sides of the octagonal prism were smoothed, it would be a cylinder.

Both cylinders and prisms have congruent bases.

Compare student ideas to this chart

Now, with your partner: compare a cone and a pyramid.

compare a cube and a sphere.

– Discuss with your partner: How are they alike? How are they different? Use geometric attributes (characteristics) when discussing these.

– Write a comparison of the cone and pyramid in the journal on pg.7 #1 and 2. Then complete #1 and 2 on pg. 8 for a cube and a sphere.

Discuss and Share:• As students share their ideas, record them

on the chart “comparing shapes.”

Cones and Pyramids:

How are they alike?

How are they different?

Comparing Shapes

Cones and Pyramids

Pyramids have edges that are straight. Cones have an edge that is a circle.

Cones have 1 base, and so do pyramids.Cones have a curved surface, and the

pyramid does not.The top point on a pyramid is called a

vertexvertex, and the point on the cone is called an apexapex.

Compare student ideas to this chart

Discuss and Share:• As students share their ideas, record them

on the chart “comparing shapes.”

Cube and Sphere:

How are they alike?

How are they different?

Comparing Shapes

Cube and Sphere

There is something perfect about both of them.

They match because they are the same size across their middles (centers).

All of the faces of a cube are squares.The sphere has a curved surface.

Compare student ideas to this chart

Journal:

Use the “Bright Idea Pen” to add new ideas to your writing on pg. 6, 7, or 8 after hearing the ideas of others.

DiscussDiscuss:

What changes did you make in your writing?

What did you learn by listening to the ideas of others?

Reflect:

Distribute the 2 new shapes* to each pair of students. Give the students time to observe the shapes and discuss their characteristics.

DiscussDiscuss:

What are the properties of the truncated shape?

What do you think the word truncated means?

What are the properties of the oblique shape?

In what way is the pyramid different from the other pyramids in the collection?

Add the following questions to the “comparing shapes” chart.

Questions About 3D Shapes:

What do other kinds of cones and cylinders look like?

Is the truncated shape a cone?

Is the new pyramid a square pyramid?

How do you measure a sphere?