resource overview - amazon s3 · 8 4 0 scores ben has made 1st year 2nd year 3rd year years ben has...

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This resource may be available in other Quantile utilities. For full access to these free utilities, visit www.quantiles.com/tools.aspx. The Quantile® Framework for Mathematics, developed by educational measurement and research organization MetaMetrics®, comprises more than 500 skills and concepts (called QTaxons) taught from kindergarten through high school. The Quantile Framework depicts the developmental nature of mathematics and the connections between mathematics content across the strands. By matching a student’s Quantile measure with the Quantile measure of a mathematical skill or concept, you can determine if the student is ready to learn that skill, needs to learn supporting concepts first, or has already learned it. For more information and to use free Quantile utilities, visit www.Quantiles.com. 1000 Park Forty Plaza Drive, Suite 120, Durham, North Carolina 27713 METAMETRICS®, the METAMETRICS® logo and tagline, QUANTILE®, QUANTILE FRAMEWORK® and the QUANTILE® logo are trademarks of MetaMetrics, Inc., and are registered in the United States and abroad. The names of other companies and products mentioned herein may be the trademarks of their respective owners. Resource Overview Quantile® Measure: 600Q Skill or Concept: Answer comparative and quantitative questions about charts and graphs. (QTP59) Describe data using the range. (QTP634) Excerpted from: Gourmet Learning 1937 IH 35 North Suite 105 New Braunfels, TX 78130 www.gourmetlearning.com © Gourmet Learning

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Page 1: Resource Overview - Amazon S3 · 8 4 0 Scores Ben Has Made 1st Year 2nd Year 3rd Year Years Ben Has Played Soccer 90 80 70 60 50 Temperature in Degrees 10 a.m. Noon 3 p.m. 6 p.m

 

This resource may be available in other Quantile utilities.   For full access to these free utilities, visit www.quantiles.com/tools.aspx.

The Quantile® Framework for Mathematics, developed by educational measurement and research organization MetaMetrics®, comprises more than 500 skills and concepts (called QTaxons) taught from kindergarten through high school. The Quantile Framework depicts the 

developmental nature of mathematics and the connections between mathematics content across the strands. By matching a student’s Quantile measure with the Quantile measure of a mathematical skill or concept, you can determine if the student is ready to learn that skill, needs to learn supporting concepts first, or has already learned it. For more information and to use free Quantile utilities, visit www.Quantiles.com. 

1000 Park Forty Plaza Drive, Suite 120, Durham, North Carolina 27713 

METAMETRICS®, the METAMETRICS® logo and tagline, QUANTILE®, QUANTILE FRAMEWORK® and the QUANTILE® logo are trademarks of MetaMetrics, Inc., and are registered in the United States and abroad. The names of other companies and products mentioned herein may be the trademarks of their respective owners.

Resource Overview 

Quantile® Measure:  600Q 

Skill or Concept: Answer comparative and quantitative questions about charts and graphs.  (QT‐P‐59)  Describe data using the range.  (QT‐P‐634)  

Excerpted from: 

 

Gourmet Learning 1937 IH 35 North Suite 105  New Braunfels, TX 78130 www.gourmetlearning.com © Gourmet Learning  

 

Page 2: Resource Overview - Amazon S3 · 8 4 0 Scores Ben Has Made 1st Year 2nd Year 3rd Year Years Ben Has Played Soccer 90 80 70 60 50 Temperature in Degrees 10 a.m. Noon 3 p.m. 6 p.m

Unit 1 – Lesson 2 Probability and Statistics

Gourmet Curriculum Press, Inc.©74

Student Expectations: Students will determine the range of data using various graphs

AnEnrichment

Interpreting Information from Graphs

“Climb the Mountain Range”

Teacher note: Challenge students to use their knowledge of interpreting data from graphs by introducing range. In this game, students determine range using various graphs while racing to the top of a mountain “range.”

Group size: whole group (Part I); groups of three to four students (Part II)

Materials: practice range, transparency pages 76-77; game board, page 78; game cards, pages 79-83; game cube, page 84; overhead pen; game board markers in different colors (1 per player); scratch paper; pencils; answer key, page 85

Before class: Copy 1 game board, page 78, per group and laminate. Copy game card backs, pages 79-82, on the back of game card fronts, page 83 (1 set per group), and laminate. Copy 1 game cube, page 84, per group on cardstock, and tape together. Gather remaining materials.

Directions (Whole Group):

• Place Practice Range, transparency page 76, on the overhead. Use a sheet of paper to cover all graphs except for Graph #1.

• If desired, use the following questions to quickly review interpreting data using a graph:

• Which one is the most/least favorite?

• Which one is second/third favorite?

• Which is the total of the top/bottom 2?

• How many more chose than ?

• Define “range” as the difference between the highest and lowest score on a graph. If necessary, review how to determine the difference of two numbers by subtracting.

• Determine the highest number chosen on Graph #1. (20)

• Now determine the lowest number on Graph #1. (10)

• In the blank space next to the graph, write a subtraction problem using those scores (20-10), and ask students to solve to determine the range of this graph. (10)

• Uncover Graph #2.

• Discuss finding the range of data using a pictograph. Explain the importance of determining the value of each picture symbol using the key.

• Have students find the highest number of students loosing teeth on Graph #2 (22) and the lowest number. (2)

• Write the corresponding subtraction problem next to the pictograph, and instruct students to determine the difference or range. (20)

E

Page 3: Resource Overview - Amazon S3 · 8 4 0 Scores Ben Has Made 1st Year 2nd Year 3rd Year Years Ben Has Played Soccer 90 80 70 60 50 Temperature in Degrees 10 a.m. Noon 3 p.m. 6 p.m

Unit 1 – Lesson 2

Gourmet Curriculum Press, Inc.© 75

Probability and Statistics

Enrichment

Interpreting Information from Graphs

“Climb the Mountain Range”

Directions (Whole Group), continued:

• Place Practice Range, transparency page 77, on the overhead. Students should identify Graph #3 as a line graph.

• Explain to the students how to determine the range of a line graph (identify highest number sold and subtract the lowest number sold).

• Write a subtraction problem next to the graph, and have students solve it to determine range of graph (35 - 7 = 28).

Game Directions:

• Distribute a game board, set of game cards, game cube, board markers, and an answer key to each group. Students will shuffle the cards and place them in a stack.

• Place the game board in the center of the playing area with the game cards and answer key face-down next to it, so all are within easy reach of players.

• Shortest player begins by selecting the top card.

• Player #1 determines the range of the graph by subtracting the lowest score from the highest score. Scratch paper and pencil can be used if necessary.

• Other players verify the answer by locating the graph number on the game card and finding the corresponding number on the answer key (or, each group could have an “answer person” who would hold the answer key and declare answers correct/incorrect; switch “answer persons” after 8 turns). Game card is placed at the bottom of the stack.

• If the range is incorrectly identified, Player #1 loses a turn, and play continues with the next player.

• If the range is correctly identified, Player #1 rolls the game cube to determine the number of spaces or “feet” to move up the mountain. For example, if 2,000 feet is rolled, Player #1 would move his/her game board marker 2 spaces, since each space represents 1,000 feet. If the player’s marker is on the 4,000 feet space and he/she rolls 2,000 feet, then the marker would be moved to the 6,000 feet space.

• If one of the special instruction sides of the game cube is rolled, the player follows the directions, and the game continues.

• Player reaching the “summit” or top of the mountain first is declared the winner.

Optional: Players can continue the game by racing back down the mountain following the same directions. The first player to reach the “base” or bottom of the mountain is declared the winner.

Student Expectations: Students will determine the range of data using various graphs

Page 4: Resource Overview - Amazon S3 · 8 4 0 Scores Ben Has Made 1st Year 2nd Year 3rd Year Years Ben Has Played Soccer 90 80 70 60 50 Temperature in Degrees 10 a.m. Noon 3 p.m. 6 p.m

Unit 1 – Lesson 2 Probability and Statistics

Gourmet Curriculum Press, Inc.©76 ( T )

Student Expectations: Students will determine the range of data using various graphs

Enrichment—Practice Range

Interpreting Information from Graphs

“Climb the Mountain Range”

Graph #1

20

15

10

5

Nu

mb

er

Ch

oo

sin

g E

ach

Dess

ert

Chocolate-Chip Cookies

Brownies Cake

1st Graders

2nd Graders

3rd Graders

Kindergartners

Graph #2

Number of Students Who Lost a Tooth

Each represents 4 students.

Page 5: Resource Overview - Amazon S3 · 8 4 0 Scores Ben Has Made 1st Year 2nd Year 3rd Year Years Ben Has Played Soccer 90 80 70 60 50 Temperature in Degrees 10 a.m. Noon 3 p.m. 6 p.m

Unit 1 – Lesson 2

Gourmet Curriculum Press, Inc.© 77 ( T )

Probability and Statistics

Enrichment—Practice Range

Interpreting Information from Graphs

“Climb the Mountain Range”

Graph #3

Student Expectations: Students will determine the range of data using various graphs

M T W Th F Sat. Sun.

35

28

21

14

7

0

Number of Cars Sold in a Week

Page 6: Resource Overview - Amazon S3 · 8 4 0 Scores Ben Has Made 1st Year 2nd Year 3rd Year Years Ben Has Played Soccer 90 80 70 60 50 Temperature in Degrees 10 a.m. Noon 3 p.m. 6 p.m

Unit 1 – Lesson 2 Probability and Statistics

Gourmet Curriculum Press, Inc.©78

Enrichment—Game Board

Interpreting Information from Graphs

“Climb the Mountain Range”

Student Expectations: Students will determine the range of data using various graphs

Page 7: Resource Overview - Amazon S3 · 8 4 0 Scores Ben Has Made 1st Year 2nd Year 3rd Year Years Ben Has Played Soccer 90 80 70 60 50 Temperature in Degrees 10 a.m. Noon 3 p.m. 6 p.m

Unit 1 – Lesson 2

Gourmet Curriculum Press, Inc.© 79

Probability and StatisticsStudent Expectations: Students will determine the range of data using various graphs

Enrichment—Game Card Backs

Interpreting Information from Graphs

“Climb the Mountain Range”

Graph #1 Graph #2

Graph #3 Graph #4

Graph #5 Graph #6

12

10

8

6

4

2

0

Nu

mb

er

of

Stu

de

nts

Cat Bird Dog Hamster

Nu

mb

er

of

Vid

eo

Ga

me

s O

wn

ed

by

Stu

de

nts

Number of Students

12

10

8

6

4

2

01 2 3 4 5

40

35

30

25

20

15

10

5

0

Nu

mb

er

of

Flo

we

rs C

ou

nte

d

in t

he G

ard

en

Daisy Rose Tulip Sunflower

Flowers in the Garden

Number of Colored Tiles Pulled from the Bag

16 Red

4 Blue

8 Yellow

4 Green

Hot Dog with Ketchup

Hot Dog with Mustard

Plain Hot Dog

Hot Dog with Chilli

Each represents 10 people.

Types of Hot Dogs Eaten at the Tigers’ Baseball Game 14

12

10

8

6

4

2

0

Nu

mb

er

of

Gir

ls

Blue Brown Hazel

Color of Eyes

Favorite Pet

Page 8: Resource Overview - Amazon S3 · 8 4 0 Scores Ben Has Made 1st Year 2nd Year 3rd Year Years Ben Has Played Soccer 90 80 70 60 50 Temperature in Degrees 10 a.m. Noon 3 p.m. 6 p.m

Unit 1 – Lesson 2 Probability and Statistics

Gourmet Curriculum Press, Inc.©80

Student Expectations: Students will determine the range of data using various graphs

Enrichment—Game Card Backs

Interpreting Information from Graphs

“Climb the Mountain Range”

24

20

16

12

8

4

0

Sco

res

Be

n H

as

Mad

e

1st Year 2nd Year 3rd Year

Years Ben Has Played Soccer

90

80

70

60

50T

em

pe

ratu

re i

n D

eg

ree

s

10 a.m. Noon 3 p.m. 6 p.m. 10 p.m.

Third Grade’s Favorite Candy

Baboon

Chimpanzee

Proboscis

Spider

Woolly

Each represents 10 monkeys.

Number of Different Monkeys at the Fall City Zoo

30

24

18

12

6

0

Nu

mb

er

of

Pe

op

le

Country Pop Hip Hop Classical

Favorite Music

75

50

25

0M T W Th F

Number of Students Absent

Time

Graph #7 Graph #8

Graph #9 Graph #10

Graph #11 Graph #12

Skittles - 24

Red Hots - 6

M&M’s - 12

Sw

eet

Tarts - 6

Page 9: Resource Overview - Amazon S3 · 8 4 0 Scores Ben Has Made 1st Year 2nd Year 3rd Year Years Ben Has Played Soccer 90 80 70 60 50 Temperature in Degrees 10 a.m. Noon 3 p.m. 6 p.m

Unit 1 – Lesson 2

Gourmet Curriculum Press, Inc.© 81

Probability and Statistics

8

6

4

2

0

Bo

ys

in M

rs. L

an

e’s

Cla

ss

Football Soccer Baseball Basketball

Favorite Sport

Shoes Worn by Mr. Brand’s Class

Boots8

Tennis Shoes30Flip-Flops

15

Student Expectations: Students will determine the range of data using various graphs

Enrichment—Game Card Backs

Interpreting Information from Graphs

“Climb the Mountain Range”

Graph #13 Graph #14

Graph #15 Graph #16

Graph #17 Graph #18

Number of Cookies Sold

Sara - 28

Megan - 24

Lana - 28

Britney - 28

20

18

16

14

12

10

8

6

4

2

0

Nu

mb

er

of

Pe

op

le

Plain Barbecue Ranch French OnionFlavors of Potato Chips

Favorite Flavor of Potato Chip

Tornadoes

Spikers

Wizards

Setters

Each represents 2 points.

Number of Points Scored By Each Volleyball Team

100

90

80

70

60

50

40

30

20

10

0

Nu

mb

er

of

An

ima

ls

Monkeys Lions Zebras Bears

Hunt Zoo

Page 10: Resource Overview - Amazon S3 · 8 4 0 Scores Ben Has Made 1st Year 2nd Year 3rd Year Years Ben Has Played Soccer 90 80 70 60 50 Temperature in Degrees 10 a.m. Noon 3 p.m. 6 p.m

Unit 1 – Lesson 2 Probability and Statistics

Gourmet Curriculum Press, Inc.©82

2nd Grade’s Favorite Cookie

Chocolate Chips23

Oreo16

Sugar6

30

20

10

0

Nu

mb

er

of

Pe

op

le

Rocks Stamps Baseball Cards Coins

What Do You Collect?

Student Expectations: Students will determine the range of data using various graphs

Enrichment—Game Card Backs

Interpreting Information from Graphs

“Climb the Mountain Range”

Graph #19 Graph #20

Graph #21 Graph #22

Graph #23 Graph #24

60

54

48

42

36

30

24

18

12

6

0Computers TVs DVD Players Stereos

Good Deal’s Sales for January

Sandwich

Chips

Fruit

Cookie

Drink

Each represents 8 students.

What’s in Your Lunch Box?

48

36

24

12

0

Tic

ke

ts S

old

3 p.m. 6 p.m. 8 p.m. 10 p.m.

Movie Times

40

36

32

28

24

20

16

12

8

4

0Nu

mb

er

of

Vid

eo

Ga

me

s S

old

Jan. Feb. Mar. Apr. May

Page 11: Resource Overview - Amazon S3 · 8 4 0 Scores Ben Has Made 1st Year 2nd Year 3rd Year Years Ben Has Played Soccer 90 80 70 60 50 Temperature in Degrees 10 a.m. Noon 3 p.m. 6 p.m

Unit 1 – Lesson 2

Gourmet Curriculum Press, Inc.© 83

Probability and StatisticsStudent Expectations: Students will determine the range of data using various graphs

Enrichment—Game Card Fronts

Interpreting Information from Graphs

“Climb the Mountain Range”

Climb the Mountain

Range

Climb the Mountain

Range

Climb the Mountain

Range

Climb the Mountain

Range

Climb the Mountain

Range

Climb the Mountain

Range

Page 12: Resource Overview - Amazon S3 · 8 4 0 Scores Ben Has Made 1st Year 2nd Year 3rd Year Years Ben Has Played Soccer 90 80 70 60 50 Temperature in Degrees 10 a.m. Noon 3 p.m. 6 p.m

Unit 1 – Lesson 2 Probability and Statistics

Gourmet Curriculum Press, Inc.©84

Move ahead1,000 feet.

Move ahead2,000 feet.

Move ahead3,000 feet.

You have to stop and rest.Lose 1 turn!

Move ahead1,000 feet.

You caught a ride on a

snowmobile. Move ahead 1,000 feet!

Student Expectations: Students will determine the range of data using various graphs

Enrichment—Game Cube

Interpreting Information from Graphs

“Climb the Mountain Range”

Page 13: Resource Overview - Amazon S3 · 8 4 0 Scores Ben Has Made 1st Year 2nd Year 3rd Year Years Ben Has Played Soccer 90 80 70 60 50 Temperature in Degrees 10 a.m. Noon 3 p.m. 6 p.m

Unit 1 – Lesson 2

Gourmet Curriculum Press, Inc.© 85

Probability and StatisticsStudent Expectations: Students will determine the range of data using various graphs

Enrichment—Answer Key

Interpreting Information from Graphs

“Climb the Mountain Range”

Graph # Range

1 10

2 12

3 35

4 12

5 30

6 6

7 20

8 20

9 18

10 30

11 24

12 50

13 4

14 15

15 5

16 6

17 70

18 22

19 48

20 24

21 36

22 30

23 17

24 20