Gourmet Learning
Resource Overview Quantile® Measure:
630Q
Skill or Concept:
Construct or complete a table of values to solve problems associated with a given relationship. (QT‐A‐180)
Excerpted from:
Gourmet Learning 1937 IH 35 North Suite 105 New Braunfels, TX 78130 www.gourmetlearning.com © Gourmet Learning
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.
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Unit 2 – Lesson 1
Algebraic Thinking
Student Expectation: Students will use manipulatives to create tables of shapes
Reteach Generate Tables of Real-Life Situations
K
“Shapely Tables”
C
Teacher note: Students having trouble creating tables might find it difficult to see where the numbers come from in the tables. In this Reteach activity, students will use manipulatives to create tables with the pictures relating 5 common shapes with the number of sides for each shape. Group size: pairs Materials: directions and example, transparency page 32; shapes, pages 33-37; large pieces of butcher paper; markers; rulers; scissors; glue sticks; answer key, pages 50-51 Before class: Copy the shapes, pages 33-37, on colored paper for each pair, so each pair can have a set of manipulatives. There is no need to cut them. Students will be directed to do that during the activity. Gather other materials. Directions: • Place transparency page 32 on the overhead with the directions and example for this activity. • Distribute materials to each pair, and go over the directions and example. • Allow students to start creating tables. Circulate among the pairs as they work. 1. Listen to see if the students can explain what each column of the table represents. 2. Evaluate whether the students are able to generate the data for a table. 3. Make sure the students are able to generate the paired numbers relating the number of shapes to the number of sides. 4. Look to see if the students are placing the data in the correct columns and rows. 5. Headings are important. Did the students use the headings correctly?
Gourmet Curriculum Press, Inc.©
31
Unit 2 – Lesson 1
Algebraic Thinking
Student Expectation: Students will use manipulatives to create tables of shapes
Reteach—Directions and Example Generate Tables of Real-Life Situations “Shapely Tables”
You are going to create 5 tables relating the numbers of a specific shape and the number of total sides on those shapes. The first table will look like the one started here:
Number of Triangles
Number of Sides
1 3 2 6 Cut out the triangles, and glue them on the table.
Count the sides to determine the number that should be placed in column 2.
There are enough shapes to create a table for each shape that will show from 1 to 6 of that shape. Under each table, explain what patterns you see in the table. For example, 2 triangles have 3 sides more than 1 triangle. Complete these steps for each shape until all 5 tables are created. 32 ( T )
Gourmet Curriculum Press, Inc.©
Unit 2 – Lesson 1
Algebraic Thinking
Student Expectation: Students will use manipulatives to create tables of shapes
Reteach—Shapes Generate Tables of Real-Life Situations “Shapely Tables”
Gourmet Curriculum Press, Inc.©
33
Unit 2 – Lesson 1
Algebraic Thinking
Student Expectation: Students will use manipulatives to create tables of shapes
Reteach—Shapes Generate Tables of Real-Life Situations “Shapely Tables”
34
Gourmet Curriculum Press, Inc.©
Unit 2 – Lesson 1
Algebraic Thinking
Student Expectation: Students will use manipulatives to create tables of shapes
Reteach—Shapes Generate Tables of Real-Life Situations “Shapely Tables”
Gourmet Curriculum Press, Inc.©
35
Unit 2 – Lesson 1
Algebraic Thinking
Student Expectation: Students will use manipulatives to create tables of shapes
Reteach—Shapes Generate Tables of Real-Life Situations “Shapely Tables”
36
Gourmet Curriculum Press, Inc.©
Unit 2 – Lesson 1
Algebraic Thinking
Student Expectation: Students will use manipulatives to create tables of shapes
Reteach—Shapes Generate Tables of Real-Life Situations “Shapely Tables”
Gourmet Curriculum Press, Inc.©
37
Unit 2 – Practice #1
Algebraic Thinking
Directions: Read each problem carefully. Decide which answer best completes the question. Show your work.
Problem #1
Problem #3
Create a table showing the following relationship: One case of juice has 8 juice boxes in it. (Hint: Show how many juice boxes are in 1-5 cases.)
The shoe store wants to showcase their newest shoes by having models wear them. Each model will wear a different shoe on each foot. Which table shows the number of different shoes that can be showcased by 5, 10, 15, and 20 models? A
B
Problem #2 Shauni was baking muffins for a bake sale at school. Her muffin pans make 6 muffins each. Complete the table to determine how many muffins were made with 6 pans. # of pans # of muffins
F
18
G
30
H
36
J
42
38 ( T )
2
4
6
12
24
?
C
D
# of # of models shoes 5 2 10 4 15 6 20 8 # of # of models shoes 5 10 10 20 15 30 20 40 # of # of models shoes 5 5 10 10 15 15 20 20 # of # of shoes models 5 10 10 20 15 30 20 50
Gourmet Curriculum Press, Inc.©
Unit 2 – Practice #1
Algebraic Thinking
Directions: Read each problem carefully. Decide which answer best completes the question. Show your work.
Problem #4
Problem #5
Each load of laundry takes 30 minutes to wash. Which table shows the time it takes to wash 2, 4, 6, and 8 loads?
Each cake Shante makes uses 2 cups of flour. She looks at a table on the recipe that shows the number of cups of flour she needs for the number of cakes she is making.
F
G
H
J
# of loads 2 4 6 8 # of loads 2 4 6 8 # of loads 8 6 4 2 # of loads 2 4 6 8
minutes 30 60 90 120 minutes 60 120 180 240 minutes 60 120 180 240 minutes 30 90 150 210
# of cakes # of cups
2
4
6
8
4
8
12
16
She wants to make 3 cakes. How many cups of flour does she need to use? A
4
B
5
C
6
D
7
Problem #6 Charly made a table to see how much money she would earn after doing her chores. She makes $3 for each chore. How much would she earn after doing 3 chores? # of chores
1
2
3
4
5
$
3
6
?
12
15
F
$9
G
$10
H
$11
J
$12
Gourmet Curriculum Press, Inc.©
39 ( T )
Unit 2 – Practice #1
Algebraic Thinking
Directions: Read each problem carefully. Decide which answer best completes the question. Show your work.
Problem #7
Problem #8
Kalli is making chocolate chip cookies for her Girl Scout meeting. She will place 8 chocolate chips in each cookie. Which table shows the number of chocolate chips needed for her cookies?
If a football player ran for an average of 7 yards each play, which table shows the number of total yards for 3, 6, 9, and 12 plays?
A
B
C
D
40 ( T )
# of cookies 5 10 15 20
# of chips 40 80 120 160
# of cookies 5 10 15 20
# of chips 40 60 80 100
# of cookies 5 10 15 20
# of chips 40 48 56 64
# of cookies 5 10 15 20
# of chips 8 16 24 32
F
# of plays 3 6 9 12
# of yards 7 14 21 28
G
# of plays 3 6 9 12
# of yards 14 21 28 35
H
# of plays 3 6 9 12
# of yards 21 28 35 42
J
# of plays 3 6 9 12
# of yards 21 42 63 84
Gourmet Curriculum Press, Inc.©
Unit 2 – Practice #1
Algebraic Thinking
Directions: Read each problem carefully. Decide which answer best completes the question. Show your work.
Problem #9
Problem #10
Danny loves to take pictures. He bought rolls of films with which he can take 24 pictures each. Which table shows the number of pictures he could take with 2, 4, 6, and 8 rolls?
There are 4 quarters in a professional football game. Complete the table below showing the number of quarters in 3, 5, and 9 professional football games.
A
B
C
D
# of rolls 2 4 6 8
# of pictures 24 48 72 96
# of rolls 2 4 6 8
# of pictures 48 72 96 120
# of rolls 2 4 6 8
# of pictures 48 96 144 192
# of rolls 2 4 6 8
# of pictures 48 96 108 120
Games 3 5 9
Quarters
Problem #11 The Boy Scout troop is learning to make campfires. The table below shows the number of logs that the boys need for different numbers of campfires. Fires
5
6
7
8
9
Logs
35
42
?
56
63
How many logs do the Boy Scouts need to make 7 fires? A
14
B
44
C
46
D
49
Gourmet Curriculum Press, Inc.©
41 ( T )
Unit 2 – Application #1
Algebraic Thinking
Directions: Read each problem carefully. Decide which answer best completes the question. Show your work.
42
Problem #1
Problem #2
Ashley went to 3 baseball games with her parents. There are 9 innings per game. Which table shows the number of innings she watched in 1, 2, and 3 games?
Dan is a barber who charges $10 per haircut. Which table shows the amount of money he makes?
# of games 1 2 3
#of innings 9 18 27
#of innings 1 2 3
# of games 9 18 27
# of games 1 2 3
#of innings 9 18 24
# of games 1 2 3
#of innings 9 16 27
# of haircuts
$
2
10
4
20
6
30
8
40
# of haircuts
$
2
10
4
30
6
50
8
70
# of haircuts
$
2
20
4
30
6
40
8
50
# of haircuts
$
2
20
4
40
6
60
8
80
Gourmet Curriculum Press, Inc.©
Unit 2 – Application #1
Algebraic Thinking
Directions: Read each problem carefully. Decide which answer best completes the question. Show your work. Problem #3
Problem #5
The grocery store had a sale of 2 binders for $5. The table below shows the dollar amount for 2, 4, 6, and 8 binders. How much will 10 binders cost?
For a snack, Ms. Brown bought granola bars for her students. Each box contains 8 granola bars. Which table shows the number granola bars in 2, 4, 6, and 8 boxes?
# of binders
$
2
5
4
10
6 8
# of bars
# of boxes
2
16
15
4
32
20
6
48
8
56
$30
# of boxes
# of bars
$35
2
8
4
24
6
40
8
56
# of boxes
# of bars
2
16
4
24
6
32
8
40
# of boxes
# of bars
2
16
4
32
6
48
8
64
$20 $25
Problem #4 Jenny bought a bookshelf for all of her books. She can put 18 books on each shelf. How many books can she put on 4 shelves? # of shelves # of books 64 72 82 90
1
2
3
4
18
36
54
Gourmet Curriculum Press, Inc.©
43
Unit 2 – Application #1
Algebraic Thinking
Directions: Read each problem carefully. Decide which answer best completes the question. Show your work. Problem #6
Problem #8
Each of the TV shows that Marcie watches is 30 minutes long. Create a table showing how many minutes are in 2, 7, and 9 of Marcie’s TV shows.
Victoria was making necklaces to sell to her friends. She used 9 beads on each one. Which table shows the number of beads she used for 2, 3, 5, and 8 necklaces? # of necklaces
# of beads
1
9
2
18
5
45
8
72
# of necklaces
# of beads
2
18
3
27
5
45
8
72
# of necklaces
# of beads
2
18
3
27
5
42
8
75
# of necklaces
# of beads
2
9
3
12
5
21
8
39
Problem #7 Brent was selling raffle tickets for his Little League team. His mom helped him make a table to show how much money he should collect for different numbers of tickets. What was the cost of each raffle ticket? # of tickets
2
4
6
8
10
$
6
12
18
24
30
$1 $2 $3 $4
44
Gourmet Curriculum Press, Inc.©
Unit 2 – Application #1
Algebraic Thinking
Directions: Read each problem carefully. Decide which answer best completes the question. Show your work. Problem #9
Problem #11
Henry needs to buy sodas for the dance. Each pack of soda contains 12 cans. The table shows the number of cans there are in 10, 20, 30, and 40 packs. How many sodas are there in 50 packs?
Trenton was the trainer for the football team. He made sure the players had plenty of water to drink. Every practice he filled up a 2 gallon jug with water. Trenton knows there are 4 quarts in a gallon. Which table shows the number of quarts used to fill up each number of gallons?
# of packs
10
# of cans
120
20
240
30
360
40
50
480
500 550 600 640 Problem #10 Create a table showing the following relationship. The pet shop keeps 9 hamsters in each cage. (Hint: Your table should show the number of hamsters in more than one cage.)
# of # of gallons quarts 1 4 2 8 3 12 4 16 5 20 # of # of gallons quarts 1 4 2 12 3 20 4 28 5 36 # of # of gallons quarts 1 4 2 8 3 10 4 14 5 16 # of # of gallons quarts 1 4 2 6 3 8 4 10 5 12
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