Download Math Unit 4 HW

Name
4–1
Date
1. Use your ruler. Draw two lines that intersect. Label the lines
and their point of intersection.
2. Name all the lines in your drawing.
3. Name four rays in your drawing.
4. Name four angles in your drawing.
5. Name two pairs of vertical angles formed by the intersecting
lines below.
V
C
P
J
N
Use this diagram for exercises 6–9.
M
T
G
Q
Z
6. Which angles are complementary
angles?
7. Which angles are supplementary
angles?
8. Which angle is a straight angle?
9. Which angles are right angles?
UNIT 4 LESSON 1
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Lines and Angles
91
6/19/08 10:23:37 AM
Name
4–1
Date
Answers will vary.
Possible answer:
1. Use your ruler. Draw two lines that intersect. Label the lines
and their point of intersection.
A
2. Name all the lines in your drawing.
‹—› ‹—›
AB , CD
C
E
D
3. Name four rays in your drawing.
› › › ›
EA , EB , EB , EC
B
4. Name four angles in your drawing.
∠AED, ∠DEB, ∠BEC, ∠CEA
5. Name two pairs of vertical angles formed by the intersecting
lines below.
V
C
P
J
N
∠VPJ and ∠CPN,
∠CPV and ∠JPN
Use this diagram for exercises 6–9.
M
T
G
Q
Z
6. Which angles are complementary
angles?
∠TQM and ∠MQZ
8. Which angle is a straight angle?
∠GQZ
UNIT 4 LESSON 1
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7. Which angles are supplementary
angles?
Answers will vary. Possible
answer: ∠GQM and ∠MQZ
9. Which angles are right angles?
∠GQT and ∠TQZ
Lines and Angles
91
6/19/08 10:23:37 AM
4–1
Name
Date
Solve.
1. 28 ÷ 4 =
2. 2 × 9 =
3. 54 ÷ 6 =
4. 8 × 0 =
5. 5 × 5 =
6. 63 ÷ 7 =
7. 3 × 4 =
8. 20 ÷ 5 =
9. 81 ÷ 9 =
10. 12 × 1 =
11. 15 ÷ 3 =
12. 6 × 5 =
13. 3 × 7 =
14. 18 ÷ 2 =
15. 7 × 6 =
16. 45 ÷ 9 =
17. 80 ÷ 8 =
18. 4 × 8 =
19. 0 ÷ 4 =
20. 9 × 1 =
21. Ah Lam and George worked on a puzzle from 5:27 P.M. to
7:11 P.M. How long did they work on the puzzle?
22. Deacon’s baby brother began napping at 12:17 P.M. He slept
for 2 hours and 12 minutes. What time did he wake up?
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23. Rebecca and her friends finished watching a movie at
2:25 P.M. The movie was 1 hour and 43 minutes long. At
what time did they start the movie?
24. The Diaz family left to visit with friends at 10:43 A.M.
They arrived at their friends’ home at 1:09 P.M.
How long was the trip?
92
UNIT 4 LESSON 1
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Lines and Angles
6/19/08 10:24:01 AM
Name
4–1
Date
Solve.
7
1. 28 ÷ 4 =
5. 5 × 5 =
18
9
3. 54 ÷ 6 =
6. 63 ÷ 7 =
9
7. 3 × 4 =
9
10. 12 × 1 =
12
11. 15 ÷ 3 =
21
14. 18 ÷ 2 =
9
15. 7 × 6 =
42
16. 45 ÷ 9 =
32
19. 0 ÷ 4 =
0
20. 9 × 1 =
17. 80 ÷ 8 =
10
18. 4 × 8 =
12
4. 8 × 0 =
25
9. 81 ÷ 9 =
13. 3 × 7 =
2. 2 × 9 =
5
8. 20 ÷ 5 =
12. 6 × 5 =
0
4
30
5
9
21. Ah Lam and George worked on a puzzle from 5:27 P.M. to
7:11 P.M. How long did they work on the puzzle?
1 hour and 44 minutes or 104 minutes
22. Deacon’s baby brother began napping at 12:17 P.M. He slept
for 2 hours and 12 minutes. What time did he wake up?
2:29 P.M.
Copyright © Houghton Mifflin Company. All rights reserved.
23. Rebecca and her friends finished watching a movie at
2:25 P.M. The movie was 1 hour and 43 minutes long. At
what time did they start the movie?
12:42 P.M.
24. The Diaz family left to visit with friends at 10:43 A.M.
They arrived at their friends’ home at 1:09 P.M.
How long was the trip?
2 hours and 26 minutes or 146 minutes
92
UNIT 4 LESSON 1
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Lines and Angles
6/19/08 10:24:01 AM
Name
4–2
Date
Complete each statement.
1. The total of the angle measures of a
is always 180°.
2. The total of the angle measures of a
is always 360°.
Write the measure of the unknown angle.
3.
4.
B
80˚
50˚
33˚
A
5.
C
75˚
75˚
6.
105˚
D
7. One angle measure in an isosceles triangle is 100°.
What is the measure of each of the other angles?
100˚
?
8. Two angle measures in a parallelogram are 80°.
What is the measure of each of the other angles?
UNIT 4 LESSON 2
5_066967_U04L02.indd 93
?
80˚
?
?
80˚
Polygons and Angles
93
6/19/08 10:26:24 AM
Name
4–2
Date
Complete each statement.
1. The total of the angle measures of a triangle
is always 180°.
2. The total of the angle measures of a quadrilateral
is always 360°.
Write the measure of the unknown angle.
3.
4.
B
80˚
50˚
33˚
A
57°
50°
5.
C
75˚
105°
75˚
6.
D
105˚
90°
7. One angle measure in an isosceles triangle is 100°.
What is the measure of each of the other angles?
100˚
40°
?
8. Two angle measures in a parallelogram are 80°.
What is the measure of each of the other angles?
?
80˚
?
?
80˚
100°
UNIT 4 LESSON 2
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Polygons and Angles
93
6/19/08 10:26:24 AM
4–2
Name
Date
Solve.
1. 2 × 3 =
2. 77 ÷ 7 =
3. 8 × 6 =
4. 10 ÷ 1 =
5. 49 ÷ 7 =
6. 10 × 4 =
7. 4 ÷ 2 =
8. 7 × 0 =
9. 4 × 4 =
10. 64 ÷ 8 =
11. 1 × 3 =
12. 12 ÷ 3 =
13. 10 ÷ 2 =
14. 8 × 3 =
15. 6 ÷ 1 =
16. 2 × 10 =
17. 11 × 1 =
18. 72 ÷ 8 =
19. 7 × 5 =
20. 0 ÷ 6 =
21. The Smiths hiked a trail marked “2 hours and 30 minutes.”
They took a 20-minute break. If they arrived at the end of
the trail at 5:15 P.M., at what time did they start their hike?
22. A play runs for 1 hour and 56 minutes. Part way through
the play, there is a 15-minute break. If the play started at
4:30 P.M., what time will it finish?
Copyright © Houghton Mifflin Company. All rights reserved.
23. Kuri watched a movie that was 2 hours and 13 minutes
long. She stopped the movie for 17 minutes. If she started
watching at 11:30 A.M., at what time was her movie
finished?
94
UNIT 4 LESSON 2
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Polygons and Angles
6/19/08 10:27:29 AM
Name
4–2
Date
Solve.
1. 2 × 3 =
6
2. 77 ÷ 7 =
11
3. 8 × 6 =
48
4. 10 ÷ 1 =
10
7
6. 10 × 4 =
40
7. 4 ÷ 2 =
2
8. 7 × 0 =
0
16
10. 64 ÷ 8 =
8
11. 1 × 3 =
3
12. 12 ÷ 3 =
4
24
15. 6 ÷ 1 =
6
16. 2 × 10 =
20
9
19. 7 × 5 =
35
20. 0 ÷ 6 =
0
5. 49 ÷ 7 =
9. 4 × 4 =
13. 10 ÷ 2 =
5
14. 8 × 3 =
17. 11 × 1 =
11
18. 72 ÷ 8 =
21. The Smiths hiked a trail marked “2 hours and 30 minutes.”
They took a 20-minute break. If they arrived at the end of
the trail at 5:15 P.M., at what time did they start their hike?
2:25 P.M.
22. A play runs for 1 hour and 56 minutes. Part way through
the play, there is a 15-minute break. If the play started at
4:30 P.M., what time will it finish?
Copyright © Houghton Mifflin Company. All rights reserved.
6:41 P.M.
23. Kuri watched a movie that was 2 hours and 13 minutes
long. She stopped the movie for 17 minutes. If she started
watching at 11:30 A.M., at what time was her movie
finished?
2:00 P.M.
94
UNIT 4 LESSON 2
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Polygons and Angles
6/19/08 10:27:29 AM
4–3
Name
Date
In each row, circle all of the figures that look congruent.
1.
2.
3.
Write always, sometimes, or never to complete each statement.
4. A quadrilateral
has exactly two congruent angles.
5. A quadrilateral
has exactly three congruent angles.
6. Draw a figure that is congruent to the figure below.
UNIT 4 LESSON 3
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Compare and Contrast Polygons
95
6/19/08 10:28:23 AM
4–3
Name
Date
In each row, circle all of the figures that look congruent.
1.
2.
3.
Write always, sometimes, or never to complete each statement.
4. A quadrilateral sometimes has exactly two congruent angles.
5. A quadrilateral sometimes has exactly three congruent angles.
6. Draw a figure that is congruent to the figure below.
Answers will vary. Possible answer:
UNIT 4 LESSON 3
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Compare and Contrast Polygons
95
6/19/08 10:28:23 AM
4–3
Name
Date
Solve.
1. 0.123 + 1.30 =
2. 4.50 - 3.50 =
3. 1.27 + 2.40 =
4. 10.405 - 9.10 =
5. 2.8 + 2.7 =
6. 5.6 - 1.2 =
7. 3.08 + 4.10 =
8. 10.39 - 8.40 =
9. 8.54 + 2.039 =
10. 15.45 - 10.157 =
11. 0.87 + 0.10 =
12. 12.78 - 3.43 =
13. 7.609 - 2.01 =
14. 18.0 - 15.5 =
15. 20.05 + 10.05 =
16. 13.93 - 10.70 =
17. 9.7 + 1.2 =
18. 10.19 - 3.2 =
Complete the statements.
19. The total of the measures of two
angles is 180°.
20. The total of the measures of two
angles is 90°.
21. A
parallel sides.
is a quadrilateral with two pairs of
22. A
is a quadrilateral with four right angles.
24. A
is part of a line beginning at an
endpoint and extending infinitely in one direction.
25. Two rays that share an endpoint form a(n)
.
Write true or false.
26. A quadrilateral can have each of 4 angles a different
measure.
27. A ray extends infinitely in both directions.
Copyright © Houghton Mifflin Company. All rights reserved.
is a set of points forming a straight path
23. A
extending infinitely in opposite directions.
28. A polygon has sides that are line segments.
96
UNIT 4 LESSON 3
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Compare and Contrast Polygons
6/19/08 10:28:38 AM
4–3
Name
Date
Solve.
1. 0.123 + 1.30 = 1.423
2. 4.50 - 3.50 = 1.00
4. 10.405 - 9.10 = 1.305
5. 2.8 + 2.7 =
7. 3.08 + 4.10 = 7.18
8. 10.39 - 8.40 = 1.99
5.5
3. 1.27 + 2.40 = 3.67
6. 5.6 - 1.2 =
4.4
9. 8.54 + 2.039 = 10.579
10. 15.45 - 10.157 = 5.293 11. 0.87 + 0.10 = 0.97
12. 12.78 - 3.43 = 9.35
13. 7.609 - 2.01 = 5.599
14. 18.0 - 15.5 =
15. 20.05 + 10.05 = 30.10
16. 13.93 - 10.70 = 3.23
17. 9.7 + 1.2 = 10.9
2.5
18. 10.19 - 3.2 = 6.99
Complete the statements.
19. The total of the measures of two supplementary
angles is 180°.
20. The total of the measures of two complementary
angles is 90°.
is a quadrilateral with two pairs of
21. A
parallel sides. Possible answers: rectangle, square, parallelogram, rhombus
22. A
is a quadrilateral with four right angles. Possible answers:
rectangle, square
24. A ray
is part of a line beginning at an
endpoint and extending infinitely in one direction.
25. Two rays that share an endpoint form a(n) angle
.
Write true or false.
26. A quadrilateral can have each of 4 angles a different
measure. true
27. A ray extends infinitely in both directions. false
Copyright © Houghton Mifflin Company. All rights reserved.
is a set of points forming a straight path
23. A line
extending infinitely in opposite directions.
28. A polygon has sides that are line segments. true
96
UNIT 4 LESSON 3
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Compare and Contrast Polygons
6/19/08 10:28:38 AM
Name
4–4
Date
The measure of each shaded angle is given. Write the measure
of each angle that is not shaded.
1.
2.
70˚
180˚
3.
4.
110˚
5. Draw the figure after a turn of
180° clockwise.
UNIT 4 LESSON 4
5_066967_U04L04.indd 97
90˚
6. Draw the figure after a turn of
90° counterclockwise.
Circles and Angles
97
6/19/08 10:29:20 AM
Name
4–4
Date
The measure of each shaded angle is given. Write the measure
of each angle that is not shaded.
1.
2.
70˚
180˚
290°
180°
3.
4.
90˚
110˚
250°
5. Draw the figure after a turn of
180° clockwise.
UNIT 4 LESSON 4
5_066967_U04L04.indd 97
270°
6. Draw the figure after a turn of
90° counterclockwise.
Circles and Angles
97
6/19/08 10:29:20 AM
Name
4–4
Date
Solve.
1. 4.09 + 4.38 =
2. 5.6 - 1.8 =
3. 16.0 + 2.316 =
4. 3.34 + 9.01 =
5. 11.70 - 10.358 =
6. 8.87 - 4.56 =
7. 0.43 + 1.07 =
8. 14.4 - 6.2 =
9. 14.34 + 11.48 =
10. 7.40 + 1.93 =
11. 13.4 - 6.28 =
12. 8.7 - 4.3 =
14.
15.
Solve the Factor Puzzles.
13.
72
27 15
6
8 16
28 8
72
Complete the statements.
angle has a measure of 180°.
16. A
angle has a measure less than 90°.
18. A(n)
and less than 180°.
angle has a measure greater than 90°
19.
Copyright © Houghton Mifflin Company. All rights reserved.
17. A(n)
angles are pairs of opposite and congruent
angles formed by intersecting lines.
20. A
21.
angle has a measure of 90°.
lines are always the same distance apart.
22. Lines that form right angles at the point of intersection
lines.
are
23.
98
lines are lines that form
acute or obtuse angles at the point of intersection.
UNIT 4 LESSON 4
5_066967_U04L04.indd 98
Circles and Angles
6/19/08 10:29:41 AM
Name
4–4
Date
Solve.
1. 4.09 + 4.38 = 8.47
2. 5.6 - 1.8 =
4. 3.34 + 9.01 = 12.35
5. 11.70 - 10.358 = 1.342
7. 0.43 + 1.07 = 1.50
8. 14.4 - 6.2 =
10. 7.40 + 1.93 = 9.33
3.8
3. 16.0 + 2.316 = 18.316
6. 8.87 - 4.56 = 4.31
8.2
9. 14.34 + 11.48 = 25.784
11. 13.4 - 6.28 = 7.12
12. 8.7 - 4.3 =
14.
15.
4.4
Solve the Factor Puzzles.
13.
9
5
7
2
4
8
8 72 40 8
3 21 6
3
2
3 27 15 3
4 28 8
4
9 36 72 9
9
7
5
2
8 16 2
4
8
Complete the statements.
16. A straight
angle has a measure of 180°.
angle has a measure less than 90°.
18. A(n) obtuse
and less than 180°.
angle has a measure greater than 90°
Copyright © Houghton Mifflin Company. All rights reserved.
17. A(n) acute
angles are pairs of opposite and congruent
19. Vertical
angles formed by intersecting lines.
20. A right
21. Parallel
angle has a measure of 90°.
lines are always the same distance apart.
22. Lines that form right angles at the point of intersection
lines.
are perpendicular
23. Oblique
lines are lines that form
acute or obtuse angles at the point of intersection.
98
UNIT 4 LESSON 4
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Circles and Angles
6/19/08 10:29:41 AM
4–5
Name
Date
1. In the space below, draw a figure that has at least
one line of symmetry.
Consider these letters of the alphabet.
2. Which letters have line symmetry?
3. Which letters have rotational symmetry?
4. Which letters have line symmetry and rotational symmetry?
UNIT 4 LESSON 5
5_066967_U04L05.indd 99
Symmetry
99
6/19/08 10:30:48 AM
4–5
Name
Date
1. In the space below, draw a figure that has at least
one line of symmetry. Check students’ drawings.
Consider these letters of the alphabet.
2. Which letters have line symmetry?
A, B, C, D, E, H, I, M, O, T, U, V, W, X, Y
3. Which letters have rotational symmetry?
H, I, N, O, S, X, Z
4. Which letters have line symmetry and rotational symmetry?
H, I, O, X
UNIT 4 LESSON 5
5_066967_U04L05.indd 99
Symmetry
99
6/19/08 10:30:48 AM
4–5
Name
Date
Solve for the unknown number.
1. 1.4 + a = 5.7
2. e - 1 = 1.75
3. b + 0.25 = 1
4. 2.54 - m = 1.50
5. 5.6 + c = 6.0
6. n - 3.7 = 1.7
7. p + 10.01 = 10.45
8. 3.9 - d = 1.2
9. 0.5 + s = 0.8
10. t - 4.13 = 0.40
11. y + 0.8 = 4.1
12. 5.87 - h = 4.33
13. 7.4 + r = 9.5
14. f - 9.7 = 4.3
15. x + 1.88 = 4.91
16. 8.69 - g = 5.82
17. 10.04 + k = 11.00
18. w - 5.0 = 11.73
19. What is the measure of the base of a triangle that has a
height of 8 centimeters and an area of 24 square
centimeters? Explain your thinking.
Copyright © Houghton Mifflin Company. All rights reserved.
20. What is the measure of the length of a rectangle that has a
width of 2 meters and a perimeter of 14 meters? Explain
your thinking.
Round each decimal to the nearest whole number.
21. 12.3
22. 25.6
23. 19.8
24. 10.45
25. 99.9
26. 100.09
27. 41.67
28. 35.70
29. 50.51
100
UNIT 4 LESSON 5
5_066967_U04L05.indd 100
Symmetry
6/19/08 10:31:10 AM
Name
4–5
Date
Solve for the unknown number.
1. 1.4 + a = 5.7 4.3
2. e - 1 = 1.75 2.75
3. b + 0.25 = 1 0.75
4. 2.54 - m = 1.50 1.04
5. 5.6 + c = 6.0 0.4
6. n - 3.7 = 1.7 5.4
7. p + 10.01 = 10.45 0.44
8. 3.9 - d = 1.2 2.7
9. 0.5 + s = 0.8 0.3
10. t - 4.13 = 0.40 4.53
11. y + 0.8 = 4.1 3.3
12. 5.87 - h = 4.33 1.54
13. 7.4 + r = 9.5 2.1
14. f - 9.7 = 4.3 14.0
15. x + 1.88 = 4.91 3.03
16. 8.69 - g = 5.82 2.87
17. 10.04 + k = 11.00 0.96 18. w - 5.0 = 11.73 16.73
19. What is the measure of the base of a triangle that has a
height of 8 centimeters and an area of 24 square
centimeters? Explain your thinking.
Explanations will vary. base = 6 cm; I used the
formula for the area of a triangle and
substituted 24 sq cm for the area and 8 cm
for the height. Then I solved for the base.
Copyright © Houghton Mifflin Company. All rights reserved.
20. What is the measure of the length of a rectangle that has a
width of 2 meters and a perimeter of 14 meters? Explain
your thinking.
Explanations will vary. length = 5 m; I used the
formula for the perimeter of a rectangle and
substituted 14 m for the perimeter and 2 m for
the width. Then I solved for the length.
Round each decimal to the nearest whole number.
21. 12.3
12
22. 25.6
26
100
24. 10.45
10
25. 99.9
27. 41.67
42
28. 35.70
100
UNIT 4 LESSON 5
5_066967_U04L05.indd 100
36
23. 19.8
20
26. 100.09
100
29. 50.51
51
Symmetry
6/19/08 10:31:10 AM
Name
4–6
Use the circle graph to answer questions 1–3.
Date
Annual Honolulu Weather
1. Which types of days occur equally often,
according to the graph?
Sunny
2. If you visited Honolulu for ten days, how
many of those days would you expect it to be
partly cloudy? Explain your reasoning.
Partly
Cloudy
Cloudy
3. Out of the 365 days in a year, about how many
sunny days would you expect in Honolulu? How do
you know?
4. Last night, Sharise studied for
60 minutes. The table below shows the
subjects she studied and how long she
studied each subject. Show the data on
this circle graph.
Time Spent Studying
Time Spent Studying
Subject
Time
Science
20 minutes
Reading
30 minutes
Spelling
10 minutes
UNIT 4 LESSON 6
5_066967_U04L06.indd 101
Circle Graphs
101
6/19/08 10:32:56 AM
Name
4–6
Date
Use the circle graph to answer questions 1–3.
Annual Honolulu Weather
Possible answers given.
1. Which types of days occur equally often,
according to the graph?
sunny and cloudy
Sunny
Partly
Cloudy
2. If you visited Honolulu for ten days, how
many of those days would you expect it to be
partly cloudy? Explain your reasoning.
Cloudy
5 days; 50% of the circle graph
is Partly Cloudy so I would expect
50% of 10 days to be partly
cloudy.
3. Out of the 365 days in a year, about how many
sunny days would you expect in Honolulu? How do
you know?
about 91 days; 25% of the circle graph
is Sunny so I would expect 25% of
365 days to be sunny.
4. Last night, Sharise studied for
60 minutes. The table below shows the
subjects she studied and how long she
studied each subject. Show the data on
this circle graph.
Time Spent Studying
Subject
Time
Science
20 minutes
Reading
30 minutes
Spelling
10 minutes
UNIT 4 LESSON 6
5_066967_U04L06.indd 101
Time Spent Studying
Science
Reading
Spelling
Circle Graphs
101
6/19/08 10:32:56 AM
Name
4–6
Date
6. What is the lowest temperature?
.
.
P.M
00
8:
.
P.M
00
P.M
6:
P.M
00
00
4:
A
.M
0
:0
10
8:
00
A
.M
5. What is the highest temperature?
2:
4. At what time was the temperature 18°C?
.
3. What was the temperature at 4:00 P.M.?
N
O
O
N
2. What was the temperature at noon?
20
18
16
14
12
10
8
6
4
2
0
.
Degrees Celsius (˚C)
1. What was the temperature at 10:00 A.M.?
.
Use the line graph to answer each question.
Time
Find the perimeter of each figure.
7.
8.
9.
3 ft
15 ft
32 in.
13 ft
23 ft
30 in.
27 ft
8m
Copyright © Houghton Mifflin Company. All rights reserved.
10. What is the measure of the side length of a square that has
an area of 49 square centimeters? Explain your thinking.
11. What is the measure of the base of a triangle that has side
lengths of 3 meters and 2 meters, and a perimeter of
9 meters? Explain your thinking.
102
UNIT 4 LESSON 6
5_066967_U04L06.indd 102
Circle Graphs
6/19/08 10:33:24 AM
Name
4–6
Date
.
.
P.M
00
8:
.
00
P.M
.
P.M
6:
P.M
00
00
4:
A
.M
0
:0
8:
6. What is the lowest temperature? 8° C
10
00
A
.M
5. What is the highest temperature? 18° C
2:
4. At what time was the temperature 18°C? 2:00 P.M.
.
3. What was the temperature at 4:00 P.M.? 15° C
N
O
O
N
2. What was the temperature at noon? 14° C
20
18
16
14
12
10
8
6
4
2
0
.
1. What was the temperature at 10:00 A.M.? 11° C
Degrees Celsius (˚C)
Use the line graph to answer each question.
Time
Find the perimeter of each figure.
7.
8.
9.
3 ft
15 ft
32 in.
23 ft
13 ft
30 in.
27 ft
8m
32 m
132 in. or 11 ft
65 ft
Possible answers given.
Copyright © Houghton Mifflin Company. All rights reserved.
10. What is the measure of the side length of a square that has
an area of 49 square centimeters? Explain your thinking.
side length = 7 cm; I used the formula for the area
of a square and substituted 49 sq cm for the area.
Then I solved for the side length.
11. What is the measure of the base of a triangle that has side
lengths of 3 meters and 2 meters, and a perimeter of
9 meters? Explain your thinking.
base = 4 m; I subtracted both 3 m
and 2 m from the perimeter (9 m).
102
UNIT 4 LESSON 6
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Circle Graphs
6/19/08 10:33:24 AM
Name
4–7
Date
Use the given measures to estimate the circumference of each
circle. Use 3 for π .
1.
9 cm
2.
6 in.
3.
15 cm
4. The circumference of a circle is 24 meters. About how long is
a diameter of that circle?
5. The circumference of a circle is 30 inches. About how long is
a radius of that circle?
UNIT 4 LESSON 7
5_066967_U04L07.indd 103
Circumference
103
6/19/08 10:34:29 AM
Name
4–7
Date
Use the given measures to estimate the circumference of each
circle. Use 3 for π .
1.
9 cm
54 cm
2.
6 in.
18 in.
3.
15 cm
90 cm
4. The circumference of a circle is 24 meters. About how long is
a diameter of that circle?
about 8 m
5. The circumference of a circle is 30 inches. About how long is
a radius of that circle?
about 5 in.
UNIT 4 LESSON 7
5_066967_U04L07.indd 103
Circumference
103
6/19/08 10:34:29 AM
Name
4–7
Date
Solve for the unknown.
1. z + 0.02 = 0.94
2. 12.4 - b = 8.5
3. 3.46 + d = 4.10
4. p - 8.0 = 4.9
5. m + 0.57 = 0.61
6. 2.44 - w = 1.00
7. 14.1 + e = 16.0
8. n - 3.00 = 7.29
9. a + 0.3 = 1.2
10. 8.56 - h = 2.50
11. 4.4 + h = 5.5
12. s - 8.21 = 5.47
13. r + 14.1 = 18.7
14. 7.8 - x = 6.9
15. 0.51 + t = 1.00
16. y - 0.4 = 0.1
17. c + 7.16 = 9.01
18. 1.32 - f = 0.74
Find the area of each shaded region. Explain your thinking.
19.
6 cm
12 cm
20.
6 yd
Copyright © Houghton Mifflin Company. All rights reserved.
7 yd
10 yd
21.
8m
9m
104
UNIT 4 LESSON 7
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Circumference
6/19/08 10:34:44 AM
Name
4–7
Date
Solve for the unknown.
1. z + 0.02 = 0.94 0.92
2. 12.4 - b = 8.5
4. p - 8.0 = 4.9 12.9
5. m + 0.57 = 0.61 0.04
6. 2.44 - w = 1.00 1.44
7. 14.1 + e = 16.0 1.9
8. n - 3.00 = 7.29 10.29
9. a + 0.3 = 1.2
10. 8.56 - h = 2.50 6.06
4.6
13. r + 14.1 = 18.7
16. y - 0.4 = 0.1
0.5
3.9
3. 3.46 + d = 4.10 0.64
0.9
11. 4.4 + h = 5.5
1.1
12. s - 8.21 = 5.47 13.68
14. 7.8 - x = 6.9
0.9
15. 0.51 + t = 1.00 0.49
17. c + 7.16 = 9.01 1.85
18. 1.32 - f = 0.74 0.58
Possible explanations
given.
36 sq cm; I found half of the area of
Find the area of each shaded region. Explain your thinking.
19.
the rectangle.
6 cm
12 cm
20.
6 yd
the triangle is 10 yd - 6 yd = 4 yd
and the height is 7 yd. I substituted
10 yd
the base and height into the
formula for the area of a triangle.
21.
8m
9m
90 sq m; The area of the triangle
shown is 36 sq m. The shaded
Copyright © Houghton Mifflin Company. All rights reserved.
7 yd
14 sq yds; I know that the base of
area is two and a half triangles.
Therefore, the area is
36 × 2.5 = 90 sq m.
104
UNIT 4 LESSON 7
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Circumference
6/19/08 10:34:44 AM