MCAS Grade 8 Open Response Questions Copyright © Holt ...
MCAS Grade 8 Open Response Questions Copyright © Holt ...
MCAS Grade 8 Open Response Questions Copyright © Holt ...
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<strong>MCAS</strong> <strong>Grade</strong> 8 <strong>Open</strong> <strong>Response</strong> <strong>Questions</strong><br />
1. Molly’s eighth-grade class gave a survey and found that the most popular sports<br />
in their school were basketball, soccer, track, and swimming. They gave a<br />
second survey to find each student’s preference among these four sports. These<br />
are the results for 150 students in the eighth-grade.<br />
Most Popular School Sports<br />
Basketball Soccer Track Swimming<br />
30 60 50 10<br />
a. Create a circle graph to display the data. Determine how many degrees should<br />
be in each sector, and label each sector appropriately with a key. Provide a title<br />
for the graph.<br />
b. Explain how to find the number of degrees for a sector in a circle graph. Use the<br />
given data as a reference.<br />
c. Give an example of another set of data that would best be displayed in a circle<br />
graph, and explain your reasoning for choosing that particular set of data.<br />
Data Statistics and Probability<br />
Course 3, Chapter 8 Lab<br />
<strong>Copyright</strong> <strong>©</strong> <strong>Holt</strong>, Rinehart, and Winston. All rights reserved.
<strong>MCAS</strong> <strong>Grade</strong> 8 <strong>Open</strong> <strong>Response</strong> <strong>Questions</strong><br />
2. James will have four morning classes for his freshmen year of high school. He<br />
must schedule four classes: algebra, physical science, English, and geography.<br />
The orders in which the classes can be scheduled are all equally likely to occur.<br />
a. What is the probability that James will have algebra first period?<br />
b. Create a tree diagram, chart, or list to show all the possible orders for<br />
James’s schedule. Use the first letter of each class to represent that<br />
class.<br />
c. James would like to be in Brian’s class for English and geography. Brian<br />
already has his class schedule and has English first period and<br />
geography second period. What is the probability that James will be in<br />
these two classes with Brian?<br />
Data Analysis, Statistics, and Probability<br />
Course 3, Lesson 9-5<br />
<strong>Copyright</strong> <strong>©</strong> <strong>Holt</strong>, Rinehart, and Winston. All rights reserved.
<strong>MCAS</strong> <strong>Grade</strong> 8 <strong>Open</strong> <strong>Response</strong> <strong>Questions</strong><br />
3. Kyle is raising money for a local children’s charity. He is taking orders for candles<br />
and bouquets of flowers. He will earn $1.25 for each candle he sells and $2.25<br />
for each bouquet he sells. He would like to raise more than $400.<br />
a. Let c equal the number of candles and let b equal the number of<br />
bouquets that Kyle sells. Write an inequality to show how many candles<br />
and bouquets Kyle needs to sell to raise more than $400.<br />
b If Kyle sells 200 candles, how many bouquets does he need to sell to<br />
make his goal? Use the inequality you wrote for part a to explain your<br />
reasoning.<br />
c. On a coordinate graph, draw a line that contains all the different<br />
combinations Kyle can sell to make a total of exactly $400. Let the<br />
horizontal axis represent the number of bouquets sold. Let the vertical<br />
axis represent the number of candles sold. Show or describe the<br />
calculations you used to find the data points on your graph.<br />
Patterns, Relations, and Algebra<br />
Course 3, Lesson 10-4 and 11-1<br />
<strong>Copyright</strong> <strong>©</strong> <strong>Holt</strong>, Rinehart, and Winston. All rights reserved.
<strong>MCAS</strong> <strong>Grade</strong> 8 <strong>Open</strong> <strong>Response</strong> <strong>Questions</strong><br />
4. Below are the weekly advertisements for two competing supermarkets.<br />
Best Foods Market<br />
This week’s specials:<br />
peaches (12 oz can) for 35¢<br />
milk (1 gallon) for $2.39<br />
apples 25¢ each<br />
5 lb package of ground beef for $4.99<br />
Crispy Wheat Cereal (32 oz bag) for<br />
$1.89<br />
a. Which store has the best price on peaches, cereal, and milk? Explain your<br />
reasoning.<br />
b. Cindy needs to buy 12 apples. How much will she spend on apples if she buys<br />
them from Super Saver Store? Explain your reasoning.<br />
c. Mrs. Willis needs 3 lb of ground beef for a recipe. Which store should she<br />
purchase the ground beef from in order to get the best value? Explain your<br />
reasoning.<br />
Number Sense and Operation<br />
Course 3, Lesson 7-2<br />
<strong>Copyright</strong> <strong>©</strong> <strong>Holt</strong>, Rinehart, and Winston. All rights reserved.<br />
Super Saver Store<br />
Super specials this week:<br />
Three 8 oz cans of peaches for 95¢<br />
1 gallon of milk: 2 for $3.70<br />
5 apples for $2.00<br />
ground beef 99¢ per pound<br />
Crispy Wheat Cereal (48 oz bag) for<br />
$2.99
<strong>MCAS</strong> <strong>Grade</strong> 8 <strong>Open</strong> <strong>Response</strong> <strong>Questions</strong><br />
5. Maggie is playing a math game with her two friends Beth and Becky. Maggie tells<br />
her friends that she is thinking of a number and makes them each ask her three<br />
yes and no questions for clues. Listed below are the questions that Beth and<br />
Becky asked, grouped by whether the answer is yes or no.<br />
Yes No<br />
Is it an odd number? Is it a prime number?<br />
Is it a perfect square? Are all the factors prime?<br />
Is it divisible by 9? Is it greater than 100?<br />
a. Beth guessed the number to be 45. Is she correct?<br />
If she is correct, how do you know?<br />
If she is not correct, how do your know?<br />
b. Becky guessed the number to be 81.<br />
If she is correct, how do you know?<br />
If she is not correct, how do your know?<br />
c. Find the smallest number that is divisible by 2, 5, and 6 that is a perfect square.<br />
Number Sense and Operations<br />
Course 2, Chapter 2 Lab and Course 3, Lesson 3-8<br />
<strong>Copyright</strong> <strong>©</strong> <strong>Holt</strong>, Rinehart, and Winston. All rights reserved.
<strong>MCAS</strong> <strong>Grade</strong> 8 <strong>Open</strong> <strong>Response</strong> <strong>Questions</strong><br />
6. Doris created an input-output machine. Listed below are the results for five<br />
different numbers.<br />
Input Output<br />
–1 9<br />
0 7<br />
3 1<br />
5 –3<br />
7 –7<br />
a. Write an algebraic equation to describe this pattern in terms of x and y.<br />
b. What is the slope and the y-intercept of the graph of this function? Explain<br />
your reasoning.<br />
c. Graph this equation on a coordinate graph. How does this graph differ<br />
from a line that has a slope of 2?<br />
Patterns, Relations, and Algebra<br />
Course 3, Lessons 11-1 and 11-2<br />
<strong>Copyright</strong> <strong>©</strong> <strong>Holt</strong>, Rinehart, and Winston. All rights reserved.
<strong>MCAS</strong> <strong>Grade</strong> 8 <strong>Open</strong> <strong>Response</strong> <strong>Questions</strong><br />
7. The net shown below is for a square pyramid. The dotted lines represent the line<br />
segments that are to be folded to create the pyramid.<br />
5 5<br />
5 5 5<br />
5 5<br />
5 5 5<br />
5 5<br />
a. Make a net for a regular hexagonal prism. Label each line segment with a<br />
length of 4, and designate which segments will need to be folded to<br />
create the prism.<br />
b. Make a net for a triangular pyramid. Label each line segment with a<br />
length of 6 and designate which segments will need to be folded to create<br />
the prism.<br />
Geometry<br />
Course 3, Chapter 6 Lab<br />
<strong>Copyright</strong> <strong>©</strong> <strong>Holt</strong>, Rinehart, and Winston. All rights reserved.
<strong>MCAS</strong> <strong>Grade</strong> 8 <strong>Open</strong> <strong>Response</strong> <strong>Questions</strong><br />
8. Brandi lives due east of Julia. Julia lives due south of Eve. There is a bike path<br />
that connects all three houses.<br />
a. Sketch a map of where these three friends live in relation to each other.<br />
b. If Brandi lives 3 miles from Julia and Eve lives 5 miles from Brandi, how<br />
many miles is it from Julia’s house to Eve’s house? Explain your<br />
reasoning.<br />
c. If the school is 8 miles due south of Eve, how many miles is the school<br />
from Brandi? Explain your reasoning.<br />
Geometry<br />
Course 3, Lesson 6-3<br />
<strong>Copyright</strong> <strong>©</strong> <strong>Holt</strong>, Rinehart, and Winston. All rights reserved.
<strong>MCAS</strong> <strong>Grade</strong> 8 <strong>Open</strong> <strong>Response</strong> <strong>Questions</strong><br />
9. It is mandatory that a fence with a locked gate must surround a swimming pool.<br />
In Ryan’s neighborhood, there are three houses with rectangular swimming<br />
pools. Each pool has different dimensions, but holds the same amount of water.<br />
Pool Depth Width Length<br />
Pool 1 8 ft 20 ft 60 ft<br />
Pool 2 12 ft 20 ft 40 ft<br />
Pool 3 10 ft 15 ft 64 ft<br />
a. Find the volume in cubic inches of each pool.<br />
b. If the owners of pool 1 decided to double the dimensions of their pool,<br />
what effect would that have on the pool’s capacity? Explain your<br />
reasoning.<br />
Measurement<br />
Course 3, Lessons 6-1 and 6-6<br />
<strong>Copyright</strong> <strong>©</strong> <strong>Holt</strong>, Rinehart, and Winston. All rights reserved.
<strong>MCAS</strong> <strong>Grade</strong> 8 <strong>Open</strong> <strong>Response</strong> <strong>Questions</strong><br />
10. Bob needs to make an accurate scale model of his yard for math class. There is<br />
a large tree in his backyard as well as a large shed. Bob measured the shadows<br />
of each of the items at noon.<br />
6 feet<br />
30 feet<br />
a. If Bob is 60 inches tall and at noon he casts a shadow of 3 feet, how tall<br />
are the two large items in his backyard? Explain your reasoning.<br />
b. Bob used a scale factor of 1<br />
in. = 2 feet. In his model, how tall should he<br />
4<br />
make the tree?<br />
c. The dimensions of Bob’s backyard are 30 yards by 15 yards. What will<br />
the dimensions of the backyard in Bob’s model be?<br />
Measurement<br />
Course 3, Lesson 7-7<br />
<strong>Copyright</strong> <strong>©</strong> <strong>Holt</strong>, Rinehart, and Winston. All rights reserved.
<strong>MCAS</strong> <strong>Grade</strong> 8 <strong>Open</strong> <strong>Response</strong> <strong>Questions</strong><br />
11. Coach Gray recorded his team’s score and their opponent’s score for each of the<br />
last 10 basketball games. The data is listed below.<br />
Gray 55 78 66 89 55 63 54 58 61 51<br />
Opponents 68 45 65 42 58 60 49 56 40 47<br />
a. Find the mean score for Coach Gray’s team. Then find the mean score<br />
for the opponents. Identify any outliers in either set of data. How do these<br />
values affect the mean?<br />
b. Which value would be more representative of the scoring of Coach Gray’s<br />
team: the mean, the median, or the mode? Explain your reasoning.<br />
c. Coach Gray’s team won 8 out of 10 games. Can you say with certainty<br />
that next season the probability of winning a game will be 70%? Explain<br />
your answer.<br />
Data Analysis, Statistics, and Probability<br />
Course 3, Lesson 4-3 and Technology Lab<br />
<strong>Copyright</strong> <strong>©</strong> <strong>Holt</strong>, Rinehart, and Winston. All rights reserved.
<strong>MCAS</strong> <strong>Grade</strong> 8 <strong>Open</strong> <strong>Response</strong> <strong>Questions</strong><br />
12. Sally and her mom went shopping at their favorite outlet store. If the items were<br />
blue tagged, they saved 30%. If the items were red tagged, they saved 40%. If<br />
the items were yellow tagged, they saved 50%. Below are the items that were<br />
purchased.<br />
Dress<br />
$49.50<br />
Leather<br />
Jacket<br />
$175.00<br />
Cologne<br />
$29.00<br />
Lamp<br />
$65.00<br />
a. How much money did Sally and her mom save on their shopping spree?<br />
Create a chart to show the original price, sale price, and savings.<br />
b. What was the sale price of the stereo?<br />
c. Sally was given coupons for her next visit. If Sally had a coupon for 50%<br />
off a yellow-tagged item, would she get that item for free? Explain your<br />
reasoning.<br />
Number Sense and Operations<br />
Course 3, Lesson 8-2<br />
Stereo<br />
$189.75<br />
Slippers<br />
$12.00<br />
Curtains<br />
$25.00<br />
<strong>Copyright</strong> <strong>©</strong> <strong>Holt</strong>, Rinehart, and Winston. All rights reserved.<br />
Bathing suit<br />
$15.99
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