Counting Categories
What You Need
Quadrilateral Hierarchy Poster or Math Journal 2, page 251
Math Masters, page 266
scissors
paper
88
To classify this quadrilateral,
I went through three categories:
Quadrilaterals, Kites, and
Rhombuses.
What To Do
Work with a partner or by yourself.
1 Cut out the quadrilateral cards from Math Masters, page 266.
Put them facedown in a pile.
2 Choose a quadrilateral card. Classify it on the hierarchy. Start at the top.
Think about whether you can move it down to each subcategory.
Stop when you can’t go to the next subcategory.
3 Count the number of categories you passed through as you classified
your quadrilateral. Write down your count on paper.
4 Choose another card and classify the quadrilateral. Count how many
categories you pass through. Add it to your count from Step 3.
5 Continue choosing cards, classifying quadrilaterals, and counting
categories until you have passed through more than 15 categories in all.
Talk About It
Which quadrilaterals passed through the most categories? Why?
You can sometimes choose more than one path for classifying a quadrilateral.
How did you decide which path to use?
More To Do
Display all your quadrilateral cards face up. Repeat the activity, choosing the
cards that you think will help you finish the activity fastest.
5.G.3, 5.G.4, SMP7
Copyright © McGraw-Hill Education
Use with Lesson 7-6 Extra Practice, or after.
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Copyright © McGraw-Hill Education. Permission is granted to reproduce for classroom use.
NAME
Copyright © McGraw-Hill Education. Permission is granted to reproduce for classroom use.
Quadrilateral
Cards
Lesson 7-6
TIME
Quadrilateral Challenge
Problems
Lesson 7-6
NAME
DATE
TIME
Use the hierarchy on journal page 251 to help you solve the problems.
1
Copyright © McGraw-Hill Education. Permission is granted to reproduce for classroom use.
3
a. Draw a quadrilateral with exactly
two right angles. Mark the right
angles.
a. Draw a quadrilateral with exactly
two lines of symmetry. Use dotted
lines to draw the lines of symmetry.
b. Classify your quadrilateral on the
hierarchy. List the categories you
passed through as you classified it.
b. Classify your quadrilateral on the
hierarchy. List the categories you
passed through as you classified it.
c. List all possible names for this
quadrilateral.
c. List all possible names for this
quadrilateral.
For Problems 1 and 2, you can draw at least two different quadrilaterals. Draw
another answer for each problem that would be classified differently on the hierarchy.
a. Problem 1a
4
2
SRB
268-269
282
b. Problem 2a
a. Look at Problems 1 and 2. Were your answers to Parts b and c of each problem
the same?
b. Are there any quadrilaterals that would have different answers for Part b and
Part c? How do you know?
267
The Quadrilateral
Hierarchy
Home Link 7-6
NAME
DATE
TIME
The quadrilateral hierarchy you used in class is below. Use it to answer the questions.
Quadrilaterals
1
SRB
264-265
268-269
Fill in the blanks.
trapezoids are
quadrilaterals, but
not all quadrilaterals
trapezoids .
are
a. All
Trapezoids
Kites
are
b. All
Parallelograms
, but
Rhombuses
not all
are
.
Rectangles
Squares
are
c. All
, but
are
2
.
a. All parallelograms have two pairs of parallel sides. Does this mean that all rectangles
have two pairs of parallel sides? Explain how you can tell by looking at the hierarchy.
b. All trapezoids have at least one pair of parallel sides. Which other shapes have at
least one pair of parallel sides? Explain how you can tell by looking at the hierarchy.
Practice
3
1
_
÷8=
4
4
1
_
÷3=
10
5
1
_
÷2=
6
6
1
_
÷ 12 =
5
268
Copyright © McGraw-Hill Education. Permission is granted to reproduce for classroom use.
not all
Copyright © McGraw-Hill Education. Permission is granted to reproduce for classroom use.
4-Square Graphic
Organizer
TA2
NAME
DATE
TIME
Word
A Quadrilateral Hierarchy (continued)
Lesson 7-6
DATETIME
Quadrilaterals
SRB
264-265
268-269
Test property:
Trapezoids
EM4_MJ2_G5_U07_L06_001A.ai
Kites
Test property:
Test property:
EM4_MJ2_G5_U07_L06_002A.ai
Parallelograms
EM4_MJ2_G5_U07_L06_003A.ai
Test property:
Rectangles
Test property:
EM4_MJ2_G5_U07_L06_005A.ai
EM4_MJ2_G5_U07_L06_004A.ai
Rhombuses
Test property:
Squares
Test property:
EM4_MJ2_G5_U07_L06_006A.ai
EM4_MJ2_G5_U07_L06_007A.ai
251