let’s get ready
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Let’s Get Ready. To Play Some. J. E. O. P. A. R. D. Y. J E O P A R D Y. J E O P A R D Y. J E O P A R D Y. J E O P A R D Y. J E O P A R D Y. Jeopardy Board. Final Jeopardy. Measurement 100. - PowerPoint PPT PresentationTRANSCRIPT
Let’s Get ReadyLet’s Get ReadyTo Play Some . . .
JJEOPARDYJEOPARDYJEOPARDYJEOPARDYJEOPARDYJEOPARDYJEOPARDYJEOPARDYJEOPARDYJEOPARDYJEOPARDY
Measurement Dilations and Measurements Proportions Geometric
Problem Solving
100 100 100 100
200 200 200 200
300 300 300 300
400 400 400 400
500 500 500 500
Final Jeopardy
Jeopardy BoardJeopardy Board
The net of a cylinder is shown below. Use the ruler on the Mathematics Chart to measure the dimensions of the cylinder to the nearest inch.
Board Answer
Measurement 100
1
8Which is closest to the total surface area of this cylinder?F 4 in.2
G 11 in.2
H 14 in.2
J 25 in.2
Board
Measurement 100The net of a cylinder is shown below. Use the ruler on the Mathematics Chart to measure the dimensions of the cylinder to the nearest inch. 1
8
Length _______3 in
Which is closest to the total surface area of this cylinder?F 4 in.2
G 11 in.2
H 14 in.2
J 25 in.2
Measurement 100The net of a cylinder is shown below. Use the ruler on the Mathematics Chart to measure the dimensions of the cylinder to the nearest inch. 1
8
Length _______
Width _______
3 in
4 in
Area = 12 in2 Lateral Area Only
Board
Which is closest to the total surface area of this cylinder?F 4 in.2
G 11 in.2
H 14 in.2
J 25 in.2
Which is closest to the total surface area of this cylinder?F 4 in.2
G 11 in.2
H 14 in.2
J 25 in.2
Board
Measurement 100The net of a cylinder is shown below. Use the ruler on the Mathematics Chart to measure the dimensions of the cylinder to the nearest inch. 1
8
Length _______
Width _______
3 in
4 in
Area = 12 in2 Lateral Area Only
Circles
Radius = ______
5
8As a decimal
Area of a circle = _______πr2
A = π(0.625)2
A = 1.227
Two CirclesTotal Surface
Area
12.0001.2271.227
14.454
Board Answer
Measurement 200The net of a cube is shown below. Use the ruler on the Mathematics Chart to measure the dimensions of the cube to the nearest inch.1
4Find the surface area of the cube to the nearest square inch.A 2 in.2
B 9 in.2
C 14 in.2
D 18 in.2
Board
Measurement 200The net of a cube is shown below. Use the ruler on the Mathematics Chart to measure the dimensions of the cube to the nearest inch.1
4Find the surface area of the cube to the nearest square inch.A 2 in.2
B 9 in.2
C 14 in.2
D 18 in.2
1in
21
Board
Measurement 200The net of a cube is shown below. Use the ruler on the Mathematics Chart to measure the dimensions of the cube to the nearest inch.1
4Find the surface area of the cube to the nearest square inch.A 2 in.2
B 9 in.2
C 14 in.2
D 18 in.2
1in
21
1in
21
Board
Measurement 200The net of a cube is shown below. Use the ruler on the Mathematics Chart to measure the dimensions of the cube to the nearest inch.1
4Find the surface area of the cube to the nearest square inch.A 2 in.2
B 9 in.2
C 14 in.2
D 18 in.2
1in
21
1in
21
2.25 in2
2.25 in2 2.25 in2 2.25 in2 2.25 in2
2.25 in2
Board Answer
Measurement 300The net of a cylinder is shown below. Use the ruler on the Mathematics Chart to measure the dimensions of the cylinder to the nearest tenth of a centimeter.Find the total surface area of this cylinder to the nearest square centimeter.F 6 cm2
G 14 cm2
H 19 cm2
J 33 cm2
Board
Measurement 300The net of a cylinder is shown below. Use the ruler on the Mathematics Chart to measure the dimensions of the cylinder to the nearest tenth of a centimeter.Find the total surface area of this cylinder to the nearest square centimeter.F 6 cm2
G 14 cm2
H 19 cm2
J 33 cm2
9.4 cm
2 cm
1.5 cmRect. = 18.8 cm2
Circle = 7.1 cm2 Circle = 7.1 cm2
33.0 cm2
Board Answer
Measurement 400The net of a cylinder is shown below. Use the ruler on the Math Chart to measure the dimensions of the cylinder to the nearest tenth of a centimeter. Which of the following best represents the total surface area of this cylinder?F 142 cm2
G 93 cm2
H 23 cm2
J 14 cm2
The net of a cylinder is shown below. Use the ruler on the Math Chart to measure the dimensions of the cylinder to the nearest tenth of a centimeter. Which of the following best represents the total surface area of this cylinder?F 142 cm2
G 93 cm2
H 23 cm2
J 14 cm2
Board
Measurement 400
7 cm
10.5
cm
1.7 cm
Rect. = 73.5 cm2
Circle = 9.1 cm2 Circle = 9.1 cm2
91.7 cm2
Board Answer
Measurement 500Use the ruler on the Mathematics Chart to measure the dimensions of the composite figure to the nearest tenth of a centimeter.Which best represents the approximate area of this composite figure?A 34.7 cm2
B 38.8 cm2
C 44.6 cm2
D 54.5 cm2
Board
Measurement 500Use the ruler on the Mathematics Chart to measure the dimensions of the composite figure to the nearest tenth of a centimeter.Which best represents the approximate area of this composite figure?A 34.7 cm2
B 38.8 cm2
C 44.6 cm2
D 54.5 cm2 2.5 cm
3.3
cm
10.5 cm
3.4
cm
3.4 cm
Area of triangle = _____1
bh2
Area of rectangle = _____LW
Board Answer
The scale of two similar quadrilaterals is 1:2. The perimeter of the smaller quadrilateral is 80 centimeters. What is the perimeter of the larger quadrilateral?A 40 cmB 80 cmC 160 cmD 320 cm
Dilations and Measurements 100
The scale of two similar quadrilaterals is 1:2. The perimeter of the smaller quadrilateral is 80 centimeters. What is the perimeter of the larger quadrilateral?A 40 cmB 80 cmC 160 cmD 320 cm
Board
Dilations and Measurements 100
Pick a rectangle with a perimeter of 80 cm
30 cm
10 cm
Create a rectangle twice as big60 cm
20 cm
Perimeter = 160 cm
Area = 300 cm2
Area = 1200 cm2
The area is 4 times as big
Board Answer
Dilations and Measurements 200The scale factor of two similar polygons is 2:3. The perimeter of the larger polygon is 150 centimeters. What is the perimeter of the smaller polygon?A 100 cmB 75 cmC 50 cmD 150 cm
Board
Dilations and Measurements 200The scale factor of two similar polygons is 2:3. The perimeter of the larger polygon is 150 centimeters. What is the perimeter of the smaller polygon?A 100 cmB 75 cmC 50 cmD 150 cm
Pick a rectangle with a perimeter of 150 cm
60 cm
15 cm
Create a rectangle 2/3 as big40 cm
10 cmPerimeter = 100 cm
Area = 900 cm2
Area = 400 cm2
The area is as big4
9
Board Answer
Dilations and Measurements 300Tony and Edwin each built a rectangular garden. Tony’s garden is twice as long and twice as wide as Edwin’s garden. If the area of Edwin’s garden is 600 square feet, what is the area of Tony’s garden?A 1200 ft2
B 2400 ft2
C 3600 ft2
D 4800 ft2
Board
Dilations and Measurements 300Tony and Edwin each built a rectangular garden. Tony’s garden is twice as long and twice as wide as Edwin’s garden. If the area of Edwin’s garden is 600 square feet, what is the area of Tony’s garden?A 1200 ft2
B 2400 ft2
C 3600 ft2
D 4800 ft2
Pick a rectangle with an area of 600 ft2
30 ft
20 ft
Create a rectangle twice as big60 ft
40 ft
Area = 2400 ft2 (4 times the area)
Per. = 100 ft
Per. = 200 ftThe perimeter is twice as big
Board Answer
Dilations and Measurements 400A rectangular solid has a volume of 24 cubic decimeters. If the length, width, and height are all changed to their original size, what will be the new volume of the rectangular solid?A 3 dm3
B 4 dm3
C 6 dm3
D 12 dm3
1
2
Board
Dilations and Measurements 400A rectangular solid has a volume of 24 cubic decimeters. If the length, width, and height are all changed to their original size, what will be the new volume of the rectangular solid?A 3 dm3
B 4 dm3
C 6 dm3
D 12 dm3
1
2
Pick a rectangular solid with a volume of 24 dm3
6 dm
2 dm
Create a rectangle half as big
3 dm
1 dm Vol = 3 dm3 ( the volume)
2 dm
1 dm1
8
Board Answer
Dilations and Measurements 500If the surface area of a cube is increased by a factor of 4, what is the change in the length of the sides of the cube?F The length is 2 times the original length.
G The length is 4 times the original length.
H The length is 6 times the original length.
J The length is 8 times the original length.
If the surface area of a cube is increased by a factor of 4, what is the change in the length of the sides of the cube?F The length is 2 times the original length.
G The length is 4 times the original length.
H The length is 6 times the original length.
J The length is 8 times the original length.
Board
Dilations and Measurements 500
Each length 8 times as big makes the area _____ times bigger64
Each length 6 times as big makes the area _____ times bigger36
Each length 4 times as big makes the area _____ times bigger16
Each length 2 times as big makes the area _____ times bigger4
Board Answer
Proportions 100Kate has 2 similar triangular pieces of paper, as shown below.
Using the dimensions given, find the approximate length of the side labeled p.
Board
Proportions 100Kate has 2 similar triangular pieces of paper, as shown below.
F 2.4 centimetersG 7.3 centimetersH 16.5 centimetersJ 19.6 centimeters
Using the dimensions given, find the approximate length of the side labeled p.
left side
bottom18
12
p
11
18p = 132 18 18
x = 7.3
Board Answer
Proportions 200If ∆TSR is similar to ∆TNM, what is the length of x?
Board
Proportions 200If ∆TSR is similar to ∆TNM, what is the length of x?
A 240 unitsB 140 unitsC 120 unitsD 70 units
outside
diagonal70
120
240
x
18p = 132
120x = 16800 120 120
x = 140
Board Answer
Proportions 300A certain parallelogram has the dimensions shown. Which set of dimensions would produce a similar figure?F 17.6 cm, 88 cmG 70.4 cm, 176 cmH 105.6 cm, 132 cmJ 140.8 cm, 220 cm
Board
Proportions 300A certain parallelogram has the dimensions shown. Which set of dimensions would produce a similar figure?F 17.6 cm, 88 cmG 70.4 cm, 176 cmH 105.6 cm, 132 cmJ 140.8 cm, 220 cm
(35.2 cm, 44 cm) 2 = __________70.4, 88
(35.2 cm, 44 cm) 4 = __________140.8, 176
(35.2 cm, 44 cm) 3 = __________105.6, 132
Board Answer
Proportions 400To estimate the height of her school’s gym, Nicole sights the top of the gym wall in a mirror that she has placed on the ground. The mirror is 3.6 meters from the base of the gym wall. Nicole is standing 0.5 meter from the mirror, and her height is about 1.8 meters. What is the height of the gym wall?
Board
Proportions 400To estimate the height of her school’s gym, Nicole sights the top of the gym wall in a mirror that she has placed on the ground. The mirror is 3.6 meters from the base of the gym wall. Nicole is standing 0.5 meter from the mirror, and her height is about 1.8 meters. What is the height of the gym wall?
F 1 mG 5.9 mH 7.2 mJ 12.96 m
height
bottom1.8
0.5
3.6
x
0.5x = 6.48 0.5 0.5
x = 12.96
Board Answer
Proportions 500In El Paso, Texas, the streets named Hercules Avenue, Hondo Pass Drive, and Trans Mountain Road are parallel. They all intersect Dyer Street and U.S. Route 54, as shown on the map below.If all of these streets are straight line segments, how long is Dyer Street between Hercules Avenue and Trans Mountain Road?
Board
Proportions 500In El Paso, Texas, the streets named Hercules Avenue, Hondo Pass Drive, and Trans Mountain Road are parallel. They all intersect Dyer Street and U.S. Route 54, as shown on the map below.If all of these streets are straight line segments, how long is Dyer Street between Hercules Avenue and Trans Mountain Road?A 8,450 ftB 9,900 ftC 13,200 ftD 19,800 ft
left
right5280
6600
x
10560
5280x = 69696000 5280 5280
x = 13,200
Board Answer
Geometric Problem Solving 100The map below shows 2 different routes Ms. Bentsen can take to drive to the airport from her house.How many miles could Ms. Bentsen save by traveling on Airport Road instead of Mountain Highway and Oak Road to get to the airport?
Board
Geometric Problem Solving 100The map below shows 2 different routes Ms. Bentsen can take to drive to the airport from her house.How many miles could Ms. Bentsen save by traveling on Airport Road instead of Mountain Highway and Oak Road to get to the airport?A 20 miB 30 miC 35 miD 60 mi
a2 + b2 = c2
252 + b2 = 652
625 + b2 = 4225-625 -625
b2 = 3600b = 6060 mi
Distance = _____85 mi Distance saved = _____20 mi
Board Answer
Geometric Problem Solving 200The total area of trapezoid FGHJ is 52 square inches.What is the approximate length of FJ?
Board
Geometric Problem Solving 200The total area of trapezoid FGHJ is 52 square inches.What is the approximate length of FJ?
A 8.0 in.B 8.5 in.C 11.0 in.D 11.5 in.
a2 + b2 = c2
82 + 32 = c2
64 + 9 = c2
3 in
8 in
73 = c2
8.5 = c
Board Answer
Geometric Problem Solving 300What is the area of the square in the figure below?
Board
Geometric Problem Solving 300What is the area of the square in the figure below?
A 5.2 square unitsB 6.7 square unitsC 27 square unitsD 45 square units
3 in
6 in
a2 + b2 = c2
62 + 32 = c2
36 + 9 = c2
6.7 = c45 = c2
6.708 in
Area of a square ______s2
Board Answer
Geometric Problem Solving 400The shaded area in the circle below represents the section of a park used by the chamber of commerce for a fund-raising event.What is the approximate area of the section of the park used for the fund-raiser?
Board
Geometric Problem Solving 400The shaded area in the circle below represents the section of a park used by the chamber of commerce for a fund-raising event.What is the approximate area of the section of the park used for the fund-raiser?
F 339 square feetG 1,357 square feetH 4,071 square feetJ 12,214 square feet
2120(36)
360
Board Answer
Geometric Problem Solving 500A frozen dinner is divided into 3 sections on a circular plate with a 12-inch diameter.What is the approximate length of the arc of the section containing peas?
F 3 in.G 21 in.H 16 in.J 5 in.
Board
Geometric Problem Solving 500A frozen dinner is divided into 3 sections on a circular plate with a 12-inch diameter.What is the approximate length of the arc of the section containing peas?
52(12)
360
Final Jeopardy Category
Final Jeopardy Category
Board
Final Jeopardy QuestionFinal Jeopardy Question
Answer
In ∆STR, and are parallelQP TRIf SQ = 6 units, QT = 24 units, and the perimeter of ∆SQP is 20 units, what is the perimeter of ∆STR?
Board
Final Jeopardy AnswerFinal Jeopardy AnswerIn ∆STR, and are parallelQP TRIf SQ = 6 units, QT = 24 units, and the perimeter of ∆SQP is 20 units, what is the perimeter of ∆STR?
A 80 unitsB 100 unitsC 320 unitsD 500 units
6 24
How long is ST? _______30
How many times bigger is the larger triangle? _______5
The perimeter is how many times larger? _______5