Math Jeopardy! - Guadalupe Elementary School

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Transcript Math Jeopardy! - Guadalupe Elementary School

Would you rather….
Have a 30
acre crop
planted
with seeds
the carry a
58%
survival
rate
Have 50
acre crop
planted
with seeds
that carry
a 38%
survival
rate
http://www.youtube.com/watch?v=hQ
5lk735-Fk
6.1-6.4 JEOPARDY!
• YOU MAY USE YOUR CALCULATOR,
NOTES, AND THE BOOK TO ASSIST
YOU
• SHOW ALL WORK AS YOU GO
• MARK PROBLEMS THAT WERE MOST
CHALLENGING FOR YOU
• GO BACK AND STUDY THOSE
PROBLEMS TONIGHT
6.1
6.2
6.3
6.4
$100
$100
$100
$100
$200
$200
$200
$200
$300
$300
$300
$300
$400
$400
$400
$400
$500
$500
$500
$500
6.1 $100
6.1 $100 answer
Numbers
Percent
3
8
x
100%
Part
Total
Set up proportion
Always out of 100%
Use cross products
300 = 8X
Divide by 8
Answer: 37.5%
6.1 $200
20% as a fraction
6.1 $200, answer
20%
100%
We know the total is
always out of 100%.
Simplify. Divide by 20/ 20
20% ÷20=
100%÷20=
1
5
20/20 is the same as
one whole
6.1 $300
Convert the fraction to a decimal
3
7
6.1 $300, answer
3
7
3÷7=
The − sign means divide
Round to the nearest
hundreth or thousandth
Answer: .43 or .429
6.1 $400
Put in order from least to greatest:
245%, ⅘, 66%, .133
6.1 $400, answer
Choose one form to put all the number in. I chose percents
since there are already 2 of them.
Numbers
%
Part
4
x
Total
5
100%
.133 = 13.3%
Original
Percents
Answer:
245%
245%
4
⅘
80%
3
Use proportions and cross
products.
⅘ = 80%
Decimal  %
Multiply by 100
66%
66%
2
.133
13.3%
1
6.1 $500
About 342,000 km2
of Greenland’s total
area (2,175,000
km2) is not covered
with ice. To the
nearest percent,
what percent of
Greenland’s total
area is not covered
with ice?
6.1 $500, answer
Not covered in Ice
Total area
km2
%
342,000 km2
2,175,000 km2
x
100%
Write and label a proportion. The total is
always out of 100%.
342,000 (100) = 2,175,000x
Use cross products to solve
Answer: 16%
6.2 $100



Shannon’s printing company has
determined that approximately 6%
of the books it prints have errors.
Out of a printing run of 2050 books,
Lexi, the production manager
estimates that 250 books have
errors. Estimate to see if Lexi’s
number is reasonable.
Explain.
6.2 $100, answer
6%

2050 ≈ 5%

2000
Estimate and use easy
numbers.
≈ 0.05

2000
Write 5% as a decimal.
≈ 100
Multiply.
Answer: Lexi’s number is not reasonable. Only
about 100 books have errors. 250 is much greater
than 100.
6.2 $200
Estimate:
113% of 80
6.2 $200, answer
113% ≈110%
Estimate 113%
113% is close to 110%
100% of 80 = 80
10% of 80 = 8
Break into %’s you can
calculate mentally:
100% + 10%
Answer: 80 + 8 = 88
6.2 $300
Estimate:
34% of 12
6.2 $300,answer
⅓ of 12
What is 34% close to?
34% ≈ 33⅓ %
33⅓% = ⅓
Answer: 4
6.2 $400
Ian had dinner with some
friends at a restaurant. The
check for his dinner was
$10.25. If he wants to leave
close to a 20% tip, about
amount Ian should pay?
6.2 $400, answer
Break down 20% to
10% of $10.25 ≈$1
easier %’s
Another 10% ≈ $1
10% + 10% = 20%
Add the price of
$10.25 + $1 + $1= food + tip
Possible answer: $12.25
6.2 $500
Approximately 8% of each batch of
jeans produced at Jack’s factory is
defective. Rishi said that in a batch
of 400 jeans, about 35 jeans would
be defective. Estimate to determine
if his number is reasonable. Explain.
6.2 $500, answer
8% ≈ 10%
Round 8% to 10%
10% of 400 = 40
Calculate 10% of 400
40 ≈ 35
Compare to 35
Yes, because 8% of 400
is a little less than 10%
of 400. 10% of 400 is
40, and 35 is a little less
than 40.
6.3 $100
What percent of 33 is 22?
6.3 $100, answer
Part/ Is
#
22
%
x
Total/ Of
33
100%
22(100) = 33 X
Set up proportion
Use cross products to solve
Divide by 33
Answer: 66⅔ %
6.3 $200
Of Earth’s 197 million mi2 of surface
area, about 139 million mi2 is water.
Find the percent of Earth’s surface that
is covered by water.
6.3 $200, answer
#
Part
(water)
139 million
mi2
Whole
(total)
197 million
mi2
%
x
100%
139 million (100) = 197 million (x)
Answer: 70.6%
Set up proportion
Use cross products
to solve
Divide by l97 to
isolate x
6.3 $300
Four friends volunteered to cut
the grass around their neighbor’s
house. Naja cut 23% of the
grass, Diego cut 1/5 of the
grass, Michael cut 0.31 of the
grass, and Max cut the rest.
What percent of the grass did
Max cut?
6.3 $300, answer
Amount
Make all
%
Naja
23%
23%
Diego
1/5
20%
Michael
.31
31%
Max
x
x
100% -23% - 20% -31% = X
100%-74%= X
26% = x
6.3 $400
Irie organizes her music collection
by genre. ½ of her collection is
rock, 0.125 is pop, 6% is classical,
9.5% is country, and the rest of her
collection are jazz. What percent of
her CD collection is jazz?
6.3 $400, answer
Type of
Music
Amount
100%
Rock
1/2
50%
Pop
Classical
.125
6%
12.5% 6%
Country
9.5%
9.5%
Jazz
x
x
Convert all amounts to %
Add up all % and subtract from 100%
Answer: 22% jazz
6.3 $500
After a drought, a river had only
50⅔ % of the average amount of
water flow. If the average amount
of water flow is 60,000,000
gallons per day, how much water
was flowing in the river after the
drought?
6.3 $500, Answer
Part
Whole
%
50⅔ %
100%
# of gallons
x
60,000,000
1. Set up proportion.
2. Convert 50⅔ % to a decimal
• ⅔ ≈ .666666 ≈.67
• 50⅔ % ≈ 50.67
3. Use Cross Products to Solve
• Divide by 100
Answer: 30,400,200 gallons of water
after the drought
6.4 $100

Sophie earned 95% on a test by
answering 19 questions correctly. If
each question was worth the same
amount, how many questions were
on the test?
6.4 $100, Answer
#
Is
Of
19 problems
X
Answer: 20
%
85%
100%
• Set up
proportion
• Use cross
products to
solve
• Divide by
85% to
isolate x
6.4 $200

When a giraffe is born, it is
approximately 55% as tall as it
will be as an adult. If a baby
giraffe is 5.2 feet tall when it is
born, how tall will it be when it is
full grown, to the nearest tenth
of a foot?
6.4 $200, Answer
# Feet
Is
Of
5.2 feet
X
Answer: 9.5 feet
%
55%
100%
• Set up
proportion
• Use cross
products to
solve
• Divide by
55% to
isolate X
• Round to
nearest tenth
6.4 $300

Jayden and Nate caught a fish that
weighed 15.5 lb. This was 85% of
the weight of the largest fish that
they had ever caught. What was the
weight, to the nearest tenth of a
pound, of the largest fish that
Jayden and Nate had ever caught?
6.4 $300, Answer
# Pounds
Fish just
cauth
Largest
fish
15.5 pounds
%
85%
X
100%
Answer: 18.2 pounds
• Set up
proportion
• Use cross
products to
solve
• Divide by
85% to
isolate X
• Round to
nearest tenth
6.4 $400

Tiffany read 4 novels written by
Veronica Roth. This represents 20%
of the books she read this school
year. How many books did Tiffany
read in all?
6.4 $400, Answer
# books
Veronica Roth
novels
4
%
20%
Total books
Read
X
100%
Answer: 20 books read
• Set up
proportion
• Use cross
products to
solve
• Divide by
20% to
isolate X
6.4 $500
60 is 12% of
what number?
6.4 $500, Answer
#
is
of
60
X
Answer: 500
%
12%
100%
• Set up
proportion
• Use cross
products to
solve
• Divide by
12% to
isolate X