Download Report

Name
15.5
?
Geometry and
Measurement—3.6.A
MATHEMATICAL PROCESSES
3.1.C, 3.1.D
Three-Dimensional Solids
Essential Question
How can you identify, describe, and classify three-dimensional solids?
Unlock
Unlock the
the Problem
Problem
Solid figures have length, width,
and height. They are also called
three-dimensional figures.
height
length
Find solid figures.
width
Carly has a wooden clown puppet. Which parts
of the puppet are shaped like a rectangular prism?
rectangular prism
cube
sphere
cone
cylinder
triangular prism
Math Talk
© Houghton Mifflin Harcourt Publishing Company
Mathematical Processes
So, the __ are shaped like a rectangular prism.
1.
Give an example of an
object in the classroom that
has both curved and flat
surfaces.
What part of the puppet is shaped like a triangular prism? ____
Module 15
505
Explore solid figures.
Try This! Write the word to describe
Solid figures can be classified by the
number of faces, edges, and vertices.
what the arrow is pointing to.
A polygon that is a flat surface of a solid
figure is a face.
An edge is a line segment formed where
two faces meet.
A vertex is a point where three or more
edges meet. The plural of vertex is
vertices.
Hands
On
Activity Name the faces of prisms.
Materials ■ cube, rectangular prism, triangular prism, paper, crayons
• Count the number of faces, edges,
and vertices. Record the numbers
in the table.
• Repeat the steps for a rectangular
prism and a triangular prism.
Name of
Figure
Names of
Faces
Number of
Faces
Edges
Vertices
cube
rectangular
prism
triangular
prism
Math Talk
Mathematical Processes
Explain why a cube has the same
number of faces, edges, and
vertices as a rectangular prism.
Share
Share and
and Show
Show
1.
Name the solid figure that has the faces
shown at the right.
Name the solid figure that the object is shaped like.
2.
506
3.
4.
5.
© Houghton Mifflin Harcourt Publishing Company • Image Credits: (soccer ball) ©PhotoDisc/Getty Images: (tissue box) ©Spike Mafford/Getty Images
• Trace the faces of a cube. Name the
plane figures you drew.
Name
Name the solid figure. Then write the number of faces,
edges, and vertices.
_ faces
6.
7.
_ edges
Write one way you can sort a sphere, a
cone, and a cylinder.
_ vertices
Write All, Some, or None to complete the sentence.
8.
__ of the faces of a cube are squares.
9.
__ of the faces of a triangular prism are triangles.
10.
__ of the faces of a rectangular prism is curved.
Unlock
Unlock the
the Problem
Problem
11.
Multi-Step Analyze
Fiona drew the Venn diagram at the
right to help her sort solid figures.
Where would the figure below be
placed in the Venn diagram?
Solid Figures with
Flat Surfaces
a.
Solid Figures with
Curved Surfaces
What do you need to find?
–b. What information are you given?–
© Houghton Mifflin Harcourt Publishing Company
c.
How will you solve the problem?
d.
Complete the sentences.
I know that a cone has a __
surface and a __ surface.
So, a cone goes
Module 15 • Lesson 5
507
Mathematical Processes
M
Model ¥ Reason ¥ Communicate
M
Daily
Daily Assessment
Assessment Task
Task
For 12 and 14, fill in the bubble completely to show your answer.
12.
Multi-Step Scarlet and Violet take turns stacking blocks. They
start with a cube. Next, Scarlet adds a cylinder. Violet puts a
rectangular prism on top. Scarlet takes off the rectangular prism.
She adds another cube. What does the structure look like?
B
A
13.
C
D
Representations Joseph wants to sort the solid figures below into five
groups. Use what you know about solid figures to complete the table.
TEXAS Test Prep
14.
508
Aaron drew the figure at the right. What solid
figure did he draw?
A
cube
C
rectangular prism
B
cone
D
cylinder
© Houghton Mifflin Harcourt Publishing Company
Figures
Figures with
Figures
Figures That Figures with
with Curved More Than
That Stack
Roll
Flat Surfaces
Surfaces
2 Faces
Geometry and Measurement—3.6.A
MATHEMATICAL PROCESSES 3.1.C, 3.1.D
H o mewo rk
and Practice
15.5
Name
Three–Dimensional Solids
Name the solid figure that the object is shaped like.
1.
2.
3.
Name the solid figure. Then write the number of faces, edges, and vertices.
4.
5.
____
____
__ faces
__ faces
__ edges
__ edges
__ vertices
__ vertices
© Houghton Mifflin Harcourt Publishing Company
Problem
Problem Solving
Solving
6.
Amber drew this Venn diagram. Can Amber place a
cone or a cylinder in the diagram? Explain.
7.
Mathias says that all of the faces of a triangular prism
are triangles. Is his statement correct? Explain.
Figures with Figures with
6 Vertices
6 Faces
Module 15 • Lesson 5 509
TEXAS Test Prep
Lesson
Lesson Check
Check
Fill in the bubble completely to show your answer.
Pia is making a rectangular prism
from cutouts. She has these figures.
9.
Which flat figure does Pia need to
complete the solid figure?
10.
510
A
square
B
rectangle
C
triangle
D
circle
Multi-Step Victor stacks some
solid figures. He starts with a
cylinder. Then he puts a cube on
top. He places a triangular prism
on top of the cube. Then he takes
away the prism and adds a cone.
What does Victor’s structure
look like?
A
C
B
D
11.
Trent is making a triangular prism
from cutouts. He has 2 triangles
and 2 rectangles. Which flat figure
does Trent need to complete the
solid figure?
A
C
B
D
Multi-Step Yoshi stacks these
figures from bottom to top: cube,
cylinder, rectangular prism, cone.
He removes the cylinder and
replaces it with a cube. What does
Yoshi’s structure look like?
A
C
B
D
© Houghton Mifflin Harcourt Publishing Company
8.
Name
Module 15 Assessment
Vocabulary
Vocabulary
Vocabulary
Choose the best term from the box to complete
the sentence.
congruent
__ figures have the same size
right angle
and shape.
vertex
1.
parallel lines
(p. 499)
2.
A __ forms a square corner.
3.
__ appear to never cross or meet and
are always the same distance apart.
(p. 481)
(p. 481)
Concepts
Concepts and
and Skills
Skills
Circle all the words that describe the quadrilateral.
4.
5.
q TEKS 3.6.A, 3.6.B
6.
rectangle
parallelogram
rhombus
rhombus
rhombus
rectangle
parallelogram
trapezoid
square
square
rectangle
parallelogram
Look at the first figure. Tell if it appears to be congruent to the
second figure. Write yes or no. q TEKS 3.6.E
© Houghton Mifflin Harcourt Publishing Company
7.
8.
___
___
Module 15
511
Fill in the bubble for the correct answer choice.
10.
What is one way you can sort the figures at the
right? q TEKS 3.6.A
A
4 sides that are equal in length
B
2 pairs of opposite sides that are parallel
C
4 right angles
D
exactly 1 pair of opposite sides that are parallel
Jennifer drew the quadrilaterals below. Which figure
is NOT a rhombus? q TEKS 3.6.A, 3.6.B
11.
512
D
Which solid figure does NOT have a curved
surface? q TEKS 3.6.A
A
12.
C
B
A
C
B
D
Alyssa combined which two pattern blocks to make a
figure congruent to the one at the right? q TEKS 3.6.E
A
C
B
D
© Houghton Mifflin Harcourt Publishing Company
9.
TEXAS Test Prep