Name _______________________ ... Area of Rectangles Classwork What is the area of the following rectangles/squares?

Transcription

Name _______________________ ... Area of Rectangles Classwork What is the area of the following rectangles/squares?
Name _______________________
Date ___________________
Area of Rectangles
Classwork
What is the area of the following rectangles/squares?
1) 8 by 6 = _________
2) 9 by 9 = _________
3) 2 by 8 = _________
4) 5 by 3 = _________
5) 7 by 3 = _________
6) 6 by 6 = _________
7) On the grid paper sketch two rectangles one with the dimensions
4 x 6 and the other 2 x 5. Label the area of each rectangle.
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Homework
8) The area of a rectangle or square is always stated in what units of
measurement?
a. cubed
b. squared
c. feet
d. rectangle
9) The area of a rectangle gives the dimensions of the inside of the shape
of the area around the outside of the shape?
True or False
____________
What is the area of the following rectangles/squares?
10) 10 by 9 = _______
11) 11 by 11 = _______
12) Sketch one square and one rectangle on the grid paper.
Label the side measurements and area of each.
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Perimeter of Rectangles
Classwork
13) The perimeter of a polygon is the sum of each of the lengths of the
sides. True or False ______________
14) When knowing the length of one side of a square you can know the
perimeter of the square. True or False _________?
15) What is the perimeter (P) of the following rectangles?
Write your answers inside the shapes
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Homework
16) Sketch the following shapes on the grid paper and label each one:
Rectangle A 9 x 12
Rectangle B 4 x 9
Square C 5 x 5
Perimeter
Area
Rectangle A
____________
__________ square units
Rectangle B
____________
__________ square units
Square C
____________
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__________ square units
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Area and Perimeter Word Problems
Classwork
17) The large square is divided into unit squares. Each is 1 centimeter long
and 1 centimeter high. Draw a rectangle that has the same area, but a
different perimeter. What is the area and perimeter of your rectangle?
Area ______cm squared
Perimeter ________ cm
18) Max is helping his dad put a fence around their rectangular garden
patch. The long side of the patch measures 21 feet. The shorter side
measures 9 feet. What is the length of fence that Max and his dad need?
__________________________
19) Max puts 24 feet of fencing around his flowerbed. It is in the shape of a
rectangle. If the length of the flowerbed is 8 feet, what is the width?
_____________________
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Homework
20) Measure the sides of this rectangle in inches and centimeters to the
closet measurement.
inches __________________
centimeters _____________
What is the perimeter and area?
Perimeter
Inches _______________ Centimeters _________
Area
Inches _______________ Centimeters _________
21) Issac is painting the floor of his basement. If the floor measures 12 feet
by 20 feet how many square feet is the floor? _____
If each gallon of paint covers 15 square feet, how many gallons of paint will
Issac need? ___________________
22) Issac’s garage is 264 square feet. If the length is 12 feet, what is the
width of the garage? _______________
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23) For the following questions determine whether the situation is asking
for perimeter (P) or area (A) and circle the correct answer. Then find the
perimeter or area. If needed draw a figure to help you. Remember to label
the units correctly.
a) Charles wants to build a picture frame for one of his
paintings. The painting is 26 inches tall and 23 inches
wide. How many inches of frame does he need?
P or A _______________________
b) In baseball, the distance between bases is 90 feet. Ben
hits a home run and had to run around all four bases.
How far did Ben run?
P or A __________________
c) Tom is putting a wallpaper border around the top of the wall in his
bedroom. His bedroom is 4 yards long and 3 yards wide. How many
yards of border does Tom need?
P or
A _____________________
d) Mary is putting a new floor in her kitchen. Her floor is 10 meters
long and 9 meters wide. How much flooring does Mary need?
P or
A _____________________
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Protractor
Classwork
24) Measure these angles with a protractor and state the degrees and what
type of angle they are.
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Homework
25) Label the above protractor with the degrees going 0 - 180.
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Types of Angles
Classwork
26) Draw and label three acute angles.
27) Draw and label three obtuse angles.
28) Draw a straight angle.
29) Draw a right angle.
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Homework
30) Find different types of angles in your surroundings and classify them as
acute, obtuse, straight or right. Find three types of each and fill in the chart.
Acute
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Obtuse
Straight
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Right
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Lines, Line Segments & Rays
Classwork
31) Correctly label each of the below as a line, ray or line segment.
______________
______________
______________
______________
______________
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Homework
32) Correctly name each line, line segment or ray.
______________
______________
______________
______________
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Types of Lines
Classwork
33) Draw a line parallel to the following line.
34) Draw a line perpendicular to the following line.
Homework
35) List three sets or parallel lines in your surroundings.
36) List three sets of perpendicular lines in your surroundings.
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Lines of Symmetry
Classwork
37) Draw all of the lines of symmetry in the following shapes. If there is not
line of symmetry write none under the shape.
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Homework
38) Draw four objects from your surroundings that have a least one line of
symmetry. Draw all of the lines of symmetry.
Unit Review
Multiple Choices – Circle the letter to the correct answer.
1. Michael makes stained glass windows. He used this piece of stained
glass in one of the windows. How many right angles does this appear to
have?
a. 3
b. 2
c. 1
d. 0
2. Which of the following terms best describes this figure?
a. Line
b. Ray
c. Line segment
d. Angle
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3. Mrs. Baldwin drew an obtuse angle on the chalkboard. Which of the
following could be the angle she drew?
a.
b.
c.
d.
4. Sam and Melissa are discussing properties of lines during math class.
Which statement(s) best describes perpendicular lines?
a. They cross each other at one point.
b. They always form obtuse angles.
c. They never cross each other.
d. They only form right angles.
5. Jim drew a figure. Which two sides of the figure appear to form a right
angle?
A
B
C
___
___
a. AB and BB
___
___
b. AC and AB
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___
c. AC and CB
___
___
d. AB and BC
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6. Lisa cut a piece of paper into a shape of an equilateral triangle. Which
of the following could be her triangle?
a.
c.
b.
d.
7. How many acute angles does an obtuse triangle have?
a. 0
c. 2
b. 1
d. 3
8. Tammy wrote the first letter of her name on a piece of paper. How many
lines of symmetry doe the letter T appear to have?
a. 0
T
b. 1
c. 2
d. 3
9. The figure shown has 6 sides of equal length.
How many lines of symmetry does the figure
have?
a. 4
c. 8
b. 6
d. 10
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10. Ron drew the following figures. Which figure has more than one line
of symmetry?
a.
b.
c.
d.
11. Dave is painting the ceiling of his bedroom. The wall to wall carpeting
is 144 square feet. If the length of the room in 16 feet, what is the width?
a. 8 feet
c. 9 feet
b. 12 feet
d. 16 feet
12. Paul is installing a fence around a new flower garden for his mom. His
mom wants to garden to be 9 feet long and 6 feet wide. How many feet
of fencing will Paul need to completely enclose the garden?
a. 18 feet
b. 30 feet
b. 24 feet
c. 45 feet
13. Catherine is putting a border around the floor in her bedroom. The
length of the bedroom is 14 feet and the width is 12 feet. What is the
length of border that she needs?
a. 52 square yards
c. 52 yards
b. 168 square yards
d. 168 yards
14. Bob’s square bedroom is about to get carpeted. One wall measures
11 feet. How much carpeting is needed to cover the floor?
a. 11 square yards
d. 121 square yards
b. 22 square yards
c. 44 square yards
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Short Answer – Write the answer on the line.
15. Jennifer draws a line through the trapezoid. Is the line a line of
symmetry? _________
16. Claudia drew the figure below. Draw the lines of symmetry on
Claudia’s figure.
17.
a. Use your protractor to measure this angle in degrees. __________
b. Is the angle acute, obtuse, right or straight? __________________
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18.
a. Use your protractor to measure this angle in degrees. __________
b. Is the angle acute, obtuse, right or straight? __________________
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Extended Constructed Response – Answer all parts of the question.
19. Craig is making a rectangular garden. The garden is 5 feet long by 3
feet wide.
 Draw Craig’s garden on the grid.
=1
square
foot
Craig has 15 feet of fencing.
 Will he have enough to completely fence the garden? Show your
work or explain your answer.
Craig also wants to cover his entire garden with plastic to control weeds.
 How much plastic does Craig need to cover the entire garden?
Show your work or explain your answer.
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Answer Key
1.
2.
3.
4.
5.
6.
7.
48 units squared
81 units squared
16 units squared
15 units squared
21 units squared
36 units squared
B
A
C
24 units squared
4x6
10 units squared
17. Drawn rectangles will vary
Perimeter will vary
Area = 20 units squared
18. 60 feet
19. 4 feet
7
20. 2 inches centimeter
2x5
8. b
9. False
10. 90 units squared
11. 121 units squared
12. Answers will vary
13. True
14. True
15.
4
10
22
110
18
72
14
6
98
Rectangle A: 42, 108
Rectangle B: 26, 36
Rectangle C: 20, 25
10
P= 9 inches
3
10
49
centimeter,
A= 4 inches
centimeter
100
21. 240 square feet
16 gallons
22. 22 feet
23. a. P, 98 inches
b. P, 360 feet
c. P, 14 yards
d. A, 90 square meters
14
16.
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24.
44° acute
line AB
ray AB
ray BA
69° acute
143° obtuse
97° obtuse
33.
34.
112.5° obtuse
37° acute
120° obtuse
25.
135°
157.5°
112.5°
123.75°
32° acute
90°
101.25° 78.75°
67.5°
56.25° 45°
146.25°
168.75°
33.75° 22.5°
35.
36.
37.
Answers will vary
Answers will vary
11.25°
180°
0°
26. Answers will vary.
Angles < 90°
27. Answers will vary.
Angles > 90°
28. Angle = 180° (straight line)
29. Angle = 90°
(make sure angle box is
drawn)
30. Charts will vary
31. line segment
line
ray
ray
line
None
None
38.
Answers will vary
32. line segment AB
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Unit Review
19.
1. A
2. B
3. B
4. A, D
5. D
6. A
7. C
8. B
9. B
10. C
11. C
12. B
13. C
14. D
15. No
16.
B. No, the perimeter is 16 ft.
C. 15 sq. feet is needed for
fencing.
17.
18.
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Acute
Obtuse
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