Skill: Data Representation (Graphs)

London Elementary School (Week _9__)

Skill: Data Representation (Graphs)

(There are two different documents below for this content.)

Math Grade 5

This test section contains TWELVE multiple-choice and ONE open-response (short-answer) questions. Please mark your answers for the multiple-choice questions in the spaces provided on your Student Response Booklet. Mark only one answer for each question. If you do not know the answer, make your best guess. DO NOT WRITE ANY ANSWERS IN THIS TEST BOOKLET. WHEN YOU FINISH, DO NOT WORK ON ANY OTHER TEST SECTION.
1. /
The bar graph shows how many pounds of tomatoes grown by different people. How many pounds of tomatoes did George and Stewart grow?
O / A. / 30 pounds
O / B. / 45 pounds
O / C. / 75 pounds
O / D, / 105 pounds
2. / Which type of graph would best represent how student time is spent during the day between homework, chores, school, and relaxing?
O / A. / double-bar graph
O / B. / table
O / C. / line plot
O / D. / pie/circle graph
3. / This table shows the results of a survey.

Which of the following is a bar graph of the data from the table?
O / A. /
O / B. /
O / C. /
O / D. /
4. /

Fred needs to finish this bar graph. There are twelve more votes to add to the graph: 1-cat; 3-dog; 4-bird; 4-fish. What pet animal received the most total votes?
O / A. / cat
O / B. / dog
O / C. / bird
O / D. / fish
5. /
Between which two concerts did the attendance increase the most?
O / A. / Concerts 2 and 3
O / B. / Concerts 1 and 2
O / C. / Concerts 4 and 5
O / D. / Concerts 3 and 4
6. / Mr. Martinez surveyed his class to find out his students' favorite season of the year. The table below shows the data.
Which of the following line plots correctly displays the data from the table?

O / A. /
O / B. /
O / C. /
O / D. /
7. / This pictograph represents a stamp collection for 5th grade classes at Stanton Elementary.

How many stamps did Mrs. Thomas and Mrs. Wyatt's class collect ?
O / A. / 60
O / B. / 56
O / C. / 32
O / D. / 12
8. /
The bar graph shows favorite sports of fifth grade students. How many students like basketball the best?
O / A. / 7
O / B. / 24
O / C. / 9
O / D. / 26

OPEN-RESPONSE QUESTION

Read all parts of the open-response question before you begin. Write your answers to the open-response question in the space provided on your Student Response Booklet. DO NOT WRITE ANY ANSWERS IN THIS TEST BOOKLET.

MA-05-4.1.1 Students will analyze and make inferences from data displays (drawings, tables/charts, tally tables, pictographs, bar graphs, circle graphs, line plots, Venn diagrams, line graphs).

Student Food Drive
13. /
London School had a contest between the boys and the girls in the 5th grade classes. They were trying to see which class brought in the most number of canned foods for the Christmas Food Drive.
Classes girls boys
Mrs. Goodin 48 23
Mrs. Hedrick 44 30
Mrs. McWhorter 38 23
Mr. Weaver 39 36
A.  Construct a double bar graph that will display the data listed above concerning the London School Canned Food Drive.
(Hint: Remember to label all parts of a graph)
B.  Analyze the information on your graph. According to your findings, which 5th grade class, boys and girls together, collected the most cans?
C. Were more total cans of food collected by all the boys or by all
the girls? What is the difference in the total amount of cans
the girls collected in comparison to the total number of cans the
boys collected?
D. List the teachers’ names in order from least total cans collected to the
greatest total number of cans collected.
Do not write on this page. Please write your
answer to this open-response question in
the test answer booklet

STOP!

Student Name______

Scoring Guide

SCORE / DESCRIPTION
4 / Students correctly answered all parts of the question. The double bar graph is correct and all parts are correctly labeled.
3 / Students correctly answered most of the parts of the question. The double bar graph may be missing some of the labeling, however evidence is shown that the student has an understanding of what was to be done in the question.
2 / Students correctly answered only a few parts of the question and the double bar graph was missing several of the labeling.
1 / Students made an attempt to construct a double bar graph and answer all parts of the question; however the student showed a very limited understanding of what was needed to correctly answer the question.
0 / Student’s response is totally incorrect or irrelevant.
Blank / No student response.

Annotated Rubric/ Performance Expectations for ORQ

Academic Expectation: 2.7 & 2.8

Core Content: MA-05-4.1.1 Students will analyze and make inferences from data displays (drawings, tables/charts, tally tables, pictographs, bar graphs, circle graphs, line plots, Venn diagrams, line graphs).

Ceiling DOK Level: 3 Question DOK Level: 3

Question Type (circle): Scaffold, Single Dimension/Component, Two or More Relatively Independent Components, Student Choice, Respond to Provided Information

An appropriate student response should provide evidence of the student’s understanding… of interpreting given information, how to construct bar graphs, labeling of the various parts of a bar graph, and interpretation of information found in a double bar graphs.…….

For example, an appropriate response to this question would show that the student can

A. Labels –title, horizontal and vertical axis, and key: Scale- appropriate intervals:

Information graphed correctly:

B. Mr. Weaver collected the most cans:

C. Girls collected the most cans: 54 is the difference between the number of cans the

girls collected and the number the boys collected:

D. Mrs. McWhorter, Mrs. Goodin, Mrs. Hedrick, Mr. Weaver is the order from least to

greatest.

Essential Vocabulary:

Inferences from data displays

Drawings/charts

Tally

Table

Pictograph

Bar graph

Circle graph

Line plot

Line graphs

Data

Tallies

Surveys

Venn diagram

Tables

Resources/Technology:

http://www.brainpop.com

http://illuminations.nctm.org/LessonDeta...

http://math.rice.edu/~lanius/Algebra/rig...

http://nces.ed.gov/nceskids/graphing/

http://nlvm.usu.edu/en/nav/category_g_2_...

http://www.bbc.co.uk/education/mathsfile...

http://www.beaconlearningcenter.com/WebL...

http://www.beaconlearningcenter.com/WebL...

http://www.discoveryeducation.com/teache...

http://www.venturaes.com/tools/histogram...

Grade 5 ---Math
Question / First
A.E. / First CC / Second A.E. / Second CC / DOK
Level of MC Question / Answer
Key / Rational/Annotation for MC Questions
1 / 2.7 / MA-05-4.1.1 Students will analyze and make inferences from data displays (drawings, tables/charts, tally tables, pictographs, bar graphs, circle graphs, line plots, Venn diagrams, line graphs). / 2.8 / DOK Ceiling Level / 2 / D / 105 is the answer. George grew 30 lbs. and Stewart grew 75 lbs. 75 lbs. + 30 lbs. = 105 lbs.
2 / 2.7 / MA-05-4.1.1 Students will analyze and make inferences from data displays (drawings, tables/charts, tally tables, pictographs, bar graphs, circle graphs, line plots, Venn diagrams, line graphs). / 2.8 / DOK Ceiling Level / 2 / D / Pie/circle graph is the answer. A pie/circle graph is used to show how parts of the data are related to the whole and to each other.
3 / 2.7 / MA-05-4.1.1 Students will analyze and make inferences from data displays (drawings, tables/charts, tally tables, pictographs, bar graphs, circle graphs, line plots, Venn diagrams, line graphs). / 2.8 / DOK Ceiling Level / 3 / C / Bar graph is the answer. A bar graph is used to show countable data.
4 / 2.7 / MA-05-4.1.1 Students will analyze and make inferences from data displays (drawings, tables/charts, tally tables, pictographs, bar graphs, circle graphs, line plots, Venn diagrams, line graphs). / 2.8 / DOK Ceiling Level / 2 / A / Cat is the answer. Adding 1 to cats = 9.
Adding 3 to dogs = 8.
Adding 4 to birds = 7.
Adding 4 to fish = 6
5 / 2.7 / MA-05-4.1.1 Students will analyze and make inferences from data displays (drawings, tables/charts, tally tables, pictographs, bar graphs, circle graphs, line plots, Venn diagrams, line graphs). / 2.8 / DOK Ceiling Level / 3 / C / Concert 4 & 5 is the answer. The attendance for concert 4 & 5 was approximately 280. The attendance for concert 2 & 3 was approximately 95. The attendance for concerts 1 & 2 was approximately 125. The attendance for concerts 3 & 4 was approximately 190.
6 / 2.7 / MA-05-4.1.1 Students will analyze and make inferences from data displays (drawings, tables/charts, tally tables, pictographs, bar graphs, circle graphs, line plots, Venn diagrams, line graphs). / 2.8 / DOK Ceiling Level / 3 / A / The first graph is the answer. The first graph show all the correct points that needed to be plotted in order to show the exact same information that is given on the favorite seasons table.
7 / 2.7 / MA-05-4.1.1 Students will analyze and make inferences from data displays (drawings, tables/charts, tally tables, pictographs, bar graphs, circle graphs, line plots, Venn diagrams, line graphs). / 2.8 / DOK Ceiling Level / 2 / A / 60 is the answer. Each picture of a stamp represents 4 stamps. Mrs. Thomas’ class had 9 stamps which equals 36. Mrs. Wyatt’s class had 6 stamps which equals 24. 36 + 24 = 60.
8 / 2.7 / MA-05-4.1.1 Students will analyze and make inferences from data displays (drawings, tables/charts, tally tables, pictographs, bar graphs, circle graphs, line plots, Venn diagrams, line graphs). / 2.8 / DOK Ceiling Level / 3 / B / 24 is the answer. 9 girls liked basketball best and 15 boys liked basketball best. 15 + 9 = 24.

Cold Hill (Week 9)

Skill: Data analysis and probability, analyze, construct, and infer data; display data representations

Math Grade 5

This test section contains EIGHT multiple-choice and ONE open-response (short-answer) questions. Please mark your answers for the multiple-choice questions in the spaces provided on your Student Response Page. Mark only one answer for each question. If you do not know the answer, make your best guess.
1. / What are the possible outcomes of rolling an odd number?
O / A. / 1,2,3,4,5,6
O / B. / 2,4,6,8
O / C. / 1,3,5,7
O / D. / 1,3,5
2. / What is the probability of the pointer landing on the number 3?

O / A. / 1/4
O / B. / 2/3
O / C. / 1/2
O / D. / 3/5
3. / Rick has a bag filled with 2 red marbles, 5 green marbles, and 3 blue marbles. If he pulls and replaces one marble for ten times, how many times would you expect him to pull a red marble?
O / A. / 2
O / B. / 3
O / C. / 5
O / D. / 10

PLEASE GO ON TO THE NEXT PAGE è

4. / Which of the following sets of data has a median of 17.5?
O / A. / {10.0, 17.5, 14.0, 16.5, 27.5}
O / B. / {12.5, 26.0, 17.5, 11.5, 10.5}
O / C. / {13.0, 17.5, 15.0, 15.5, 17.5}
O / D. / {14.5, 19.5, 16.0, 17.5, 24.0}
5. / A stadium has seats that are arranged into sections. In each section, the seats are arranged into
rows. There are 11 sections, 7 rows in each section, and 10 seats in each row. At a baseball game
in the stadium, all of the seats are occupied. A seat will be chosen at random, and a prize will be
awarded to the person sitting in that seat. If Hank is sitting in one of the seats, what is the
probability that he will win the prize?
O / A. / 1/770
O / B. / 3/770
O / C. / 1/28
O / D. / 3/28
6. / The annual salaries, in millions of dollars, of 10 professional baseball players are shown below.
2.4 0.9 10.1 5.5 13.0 15.6 12.0 10.5 0.7 11.5
What is the range of the 10 annual salaries, in millions of dollars?
O / A. / 8.2
O / B. / 9.1
O / C. / 10.3
O / D. / 14.9

PLEASE GO ON TO THE NEXT PAGE è

7. / Tyrone calculated the mean, median, mode, and range of the following data set.
{1, 2, 5, 5, 5, 8, 11, 13}
Then he realized that a data point of “2” was missing from the original data set.
The corrected data set is shown below.
{1, 2, 2, 5, 5, 5, 8, 11, 13}
When Tyrone accurately recalculates the statistics, which measure will change?
O / A. / mean
O / B. / median
O / C. / mode
O / D. / range
8. / Dmitri, Gary, Priscilla, and Sonia collected bottles last week for recycling. The table below shows the number of bottles each of them collected.
BOTTLES COLLECTED BY EACH PERSON
NAME / Dmitri / Gary / Priscilla / Sonia
NUMBER OF BOTTLES / 14 / 20 / 6 / 32
They want to display the number of bottles each of them collected as a percent of the total number of bottles collected.
Which of the following is the most appropriate type of data display for them to use?
O / A. / scatter plot
O / B. / circle graph
O / C. / stem-and-leaf plot
O / D. / line graph

PLEASE GO ON TO THE NEXT PAGE è

OPEN-RESPONSE QUESTION

Read all parts of the open-response question before you begin. Write your answers to the open-response question in the space provided on your Student Response Page.
9. / Lunch Choices
Once a week, the students at Park City School get to choose the main dish and
side items they will have for lunch. The choices they have this week are shown
below.
Choice of 1 Main Dish Choice of 2 Side Items
tacos hamburgers corn piece of fruit
french fries
a. Based on the choices above, what are ALL of the different combinations of
one main dish and two side items that are possible? Show your work in an
organized list, chart, or table.
b. Next week, in addition to the choices of one main dish and two side items,
the students will have the choice of one dessert—either cake OR ice cream.
How many different combinations of one main dish, two side items, and one
dessert will there be? Explain or show how you got your answer.
Do not write on this page. Please write your
answer to this open-response question in
the test answer booklet

STOP!