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Name_________________________________________________________
CCSS
N.RN.3
Date __________
Geometry
Use the geometric figures to answer the questions.
Figure 1
Figure 2
Figure 3
3
10
6
11
10
1. Find the area of each figure above. Tell whether each area is a rational or
irrational number.
Figure 4
Figure 5
2
2
Figure 6
4
4
4
2
2. Find the perimeter of each figure above. Tell whether each perimeter is a
rational or irrational number.
3. Let x =
4
1
and y = − .
5
2
a. Is x + y a rational number? Justify your answer.
b. Is xy a rational number? Justify your answer.
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Big Ideas Math
Performance Tasks
5
CCSS
N.RN.3
Common Core State Standard
N.RN.3 Explain why the sum or product of two rational numbers is rational; that
the sum of a rational number and an irrational number is irrational; and
that the product of a nonzero rational number and an irrational number
is irrational.
CCSS
N.RN.3
Grading Rubric
Answers
Score
1. Figure 1: 10 square units; rational
Figure 2: 9π square units; irrational
Figure 3: 66 square units; irrational
6
2. Figure 4: 4
2 units; irrational
Figure 5: 8 units; rational
Figure 6: 4 + 2 2 units; irrational
6
3
a
, which is written in the form , where a
10
b
and b are integers and b ≠ 0.
−2
a
b. Yes; xy =
, which is written in the form , where a and b
5
b
are integers and b ≠ 0.
4
3. a. Yes; x + y =
Precision
1. Student finds the area of each figure. Student understands that the
product of two irrational numbers can be rational or irrational, and
the product of a nonzero rational number and an irrational number
is irrational.
3
2. Student finds the perimeter of each figure. Student understands
that the sum of irrational numbers can be irrational, the sum of
rational numbers is rational, and the sum of a rational number and
an irrational number is irrational.
4
3. Student understands that if a number can be written in the form
a
, where a and b are integers and b ≠ 0, then the number is
b
rational.
Total Points
6
Big Ideas Math
Performance Tasks
2
25
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All rights reserved.