Download Grade 7 Performance Task—1st Quarter Educational Pamphlet

Grade 7 Performance Task—1st Quarter
Educational Pamphlet
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Group Assignment…select a math topic from your math teacher

Complete an educational pamphlet on your topic.

Pamphlets must include; but are not limited to the following details:
o Title Page
o Model/Pictorial/Teaching Representation/Examples
o Five completed problems (assigned by the teacher) that show the work in clear steps

Pamphlets are expected to be neat and accurate
Title Page
Group Members
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
Definition of Topic (in your
own words
Key Vocabulary
Model/Pictorial/Teaching
Representation/Examples
Problem Solving
Solve the problems given for your
topic. Show your work. Your
problems should demonstrate your
understanding of your assigned topic.
The problems should be solved in a
similar fashion to the examples that
are given in a text book…steps should
be clear and all work is shown for
others to learn from.
Mean and Mode
1.
The ages of the racers in a bicycle motocross race are 14, 22, 20, 25, 26, 17, 21, 30, 27, 25, 14, and 29. The
30-year-old drops out of the race and is replaced with a 15 year old. How are the mean and mode of the
ages affected?
2. Write a set of data with six values that has a mean of 28 and a mode of 24.
3. The double bar graph shows the monthly rainfall amount for two cities over a six-month period. Compare the
mean monthly rainfall.
4. The table shows where Tiger Woods finished in tournaments in a recent year. What was his mean finish?
What is the mode of this set of data?
5. John recorded 7 different temperatures that were discussed on the evening news. What is the mean
temperature?
0ºF
115 ºF
-15 ºF
-32.5 ºF
-40 ºF
113.2 ºF
-32.7 ºF
Median and Range
1. The list below gives average temperatures (in ºC) for Fairbanks, Alaska, for each month of the year from
January through December.
-25
-20
-13
-2
9
15
17
a. What is the median?
b. What is the range?
2. Find the median and range for the Fastest Roller Coasters.
14
7
-4
-16
-23
3. Miles and Henry are finding the median of 62, 64, 63, 60, 65, and 70. Who is correct? Explain.
a. Miles says the median is 61.5. 62, 64, 63, 60, 65, 70 because when there are two numbers in the middle,
you need to add the two numbers and divide by two.
b. Henry says the median is 63.5. 60, 62, 63, 64, 65, 70 because when there are two numbers in the middle,
you need to add the two numbers and divide by two.
4. Find the median and range of the data from the table on wind speeds.
5. Find the median and range for both the chicken sandwich and the burger.
Coordinate Graphing
1. Both coordinates of a point are negative. In which quadrant is the point located? Describe the signs of the
coordinates in each of the other three quadrants. Give a set of coordinates for each of the quadrants and
plot them on a coordinate graph.
2. The points A(-3, 5), B(-3, -3) and C(4, -3) are vertices of a figure. Draw the figure in a coordinate plane.
Name 3 points that lie inside the figure.
3. Make up your own “dot-to-dot” picture. You must use all 4 quadrants and you must use at least 20 ordered
pairs. Your picture should have at least 2 points in each quadrant. You should have a list of your ordered
pairs.
4. Your school is located at (2, -1), which is 2 blocks east and 2 block south of the center of town. To get from
your house to school, you walk 5 blocks west and 2 blocks north.
a. What ordered pair corresponds to the location of your house?
b. Is your house or your school closer to the center of town? Explain.
5. You and a friend have tickets to see a football game. You sit in the Hall of Fame section and your friend sits
at (-4, -2).
a. Write an ordered pair for your location. In which quadrant are you seated?
b. In which quadrant is your friend seated?
c. A fan in Quadrant II is selected to win a prize. Do you or your friend have a chance to win the prize?
d. A fan sitting in the level closest to the field is chosen to win a prize. Do you or your friend have a
chance to win the prize?
Absolute Value, Comparing and Ordering Integers
1. Order these numbers from least to greatest.
0ºF, 115 ºF, -15 ºF, -32.5 ºF, -40 ºF, 113.2 ºF, -32.7 ºF
2. For each pair of temperatures, identify which temperature is further from -2 ºF. Justify your answer.
a. 6 ºF or -6 ºF
b. -7 ºF or 3 ºF
c. 2 ºF or -5 ºF
d. -10 ºF or 7 ºF
3. Order the values from least to greatest.
a. 8, │3│, -5, │-2│, -2
b. -12, │-26│, -15, │-12│, │10│
c. │-6│, -7, 8, │5│, -6
d. │-34│, 21, -17, │20│, │-11│
4. The freezing point is the temperature at which a liquid becomes a solid.
a. Which substance in the table has the lowest freezing point? Graph each freezing point on a number
line.
b. Is the freezing point of mercury or butter closer to the freezing point of water, 0 ºC? Explain your
reasoning.
c. Is the freezing point of airplane fuel or candle wax closer to the freezing point of water, 0 ºC?
Explain your reasoning.
5. The apparent magnitude of an object measures how bright the object appears to the human eye. A negative
magnitude identifies a brighter object than a positive magnitude.
a. Which object appears the brightest to the human eye?
b. Order the objects from the brightest to the faintest.
c. Find the median apparent magnitude of this data set.
Stem and Leaf Plots and Back-to-Back Stem and Leaf Plots
1. Make a stem-and-leaf plot of the data.
Bikes Sold
78 86 79
96 81
112
105 115
99 99 100 108
2. Make a back-to-back stem and leaf plot of the data.
NCAA Women’s Basketball Statistics
Overall Games Won 2006 - 2007
Big East 10 8 9 12 16 2 3 6
Big Ten
6
9 11 10 10 12 3 4 3
7 8 15 13 2 3 14 7 6
7
3. Using the back-to-back stem and leaf plot below answer the following questions.
a. What is the greatest number of fat grams in each sandwich?
b. In general, which sandwich has a lower amount of fat? Explain.
4. Create a stem-and-leaf plot of at least 10 pieces of data in which the maximum value is 75, the range is 50 and
the median is 25.
5. Use the Stem-and-Leaf plot on temperatures for Lake Tahoe to answer the following questions.
a. In which interval(s) do most of the temperatures occur?
b. What is the lowest average monthly temperature? The highest?
c. What is the range of the data?
d. What is the median temperature?
Adding and Subtracting Integers
1. The greatest one-day temperature change in world records occurred at Browning, Montana, from January
23rd – January 24th in 1916. The temperature fell from 44ºF to -56 ºF in less than 24 hours.
a. What was the temperature change that day?
b. Write a number sentence to represent the temperature change.
c. Show the temperature change on a number line.
2. In a football game, one team makes seven plays in the first quarter. The results of those plays are (in
order): gain of 7 yards, gain of 2 yards, loss of 5 yards, loss of 12 yards, gain of 16 yards, gain of 8 yards,
loss of 8 yards.
a. What is the overall gain (or loss) from all seven plays?
b. What is the average (gain or loss) per day?
3. The table shows your score, relative to par, after nine holes of golf. What is your total score for the nine
holes?
Hole
1
2
3
4
5
6
7
8
9
+1
-2
-1
0
-1
+3
-1
-3
+1
Number
Score
Total
4. The melting point of mercury is about -39 ºC and the melting point for aluminum is about 660 ºC. Find the
difference between these temperatures.
5. In one hour, an elevator traveled up 5 floors, down 2 floors, up 8 floors, down 6 floors, up 11 floors, and down
14 floors. If the elevator started on the seventh floor, which floor is it on now?
Multiplying and Dividing Integers
1.
During a scoring drive, a football team gained or lost yards on each play as shown. What was the average
number of yards per play?
+6
-2
+8
0
+23
-4
+5
+12
-4
-3
+18
+1
2. A weather research plane began descending from an altitude of 36,000 feet above its base, at a rate of 125
feet per minute. How long did it take for the plane to land on its base?
3. On a mountain, the temperature decreases by 18 ºF every 5000 feet. What integer represents the change
in temperature at 20,000 feet?
4. A bakery bought 225 pounds of baking powder. It used 6.8 pounds per day. How much did the bakery have
left after three days?
5. On Tuesday, the temperature changes -2 ºF per hour from noon until 10:00 AM the next morning. The
temperature at noon on Tuesday is 75 ºF.
a. What is the temperature at 4:00 PM on Tuesday?
b. What is the temperature at 9:00 AM on Wednesday?