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Complete a table from its graph and back · 8 practice problems

2.MD.D.102.OA.A.1

Generated variants — 8

Freshly produced from the archetype’s parameters — problem, figure, and solution derived together.

Variant 1 answer: Cat = 4 students (bird = 5); completed counts: cat 4, dog 4, bird 5, fish 2, total 15.

Mr. Park's class surveyed the students' favorite fruits and recorded the results in a table and a picture graph. Complete both the table and the graph.

Number of students by favorite fruit (table)

Fruit	Cat	Dog	Bird	Fish	Total
Number of students		$4$		$2$	$15$

Number of students by favorite fruit (graph)

The vertical axis shows the number of students from $1$ to $6$ , one student per cell, and the horizontal axis lists the fruits (cat, dog, bird, fish). Only the bird column has circles drawn, filling cells 1, 2, 3, 4, 5 from the bottom ( $5$ circles); the cat, dog, fish columns are empty.

(1) How many circles are in the bird column, and so how many students like bird?

(2) Find the number of students who like cat. $(=15-4-2-\square)$

(3) Complete both the table and the graph.

Show solution

Understand

A favorite-fruit survey is shown in both a table and a picture graph. The table gives dog = 4; fish = 2, total = 15, with bird and cat blank. The graph shows only bird drawn with 5 circles. I must complete both the table and the graph.

Givens

Table: dog = 4; fish = 2, total = 15; bird and cat blank.
Graph: bird column has 5 circles drawn (one circle = 1 student); the other columns empty.

Unknowns

Number who like bird (from the graph).
Number who like cat (the missing table value).
The completed table and graph.

Constraints

Each circle stands for 1 student.
The 4 fruit counts must add to the total of 15.

Plan

#15 Organize Information in More Ways · also uses: #7 Identify Subproblems

The graph supplies the value the table is missing, and the table's total supplies the value the graph is missing. Moving each fact between the two representations and using the total fills in everything.

Execute

#15 Organize Information in More Ways 2.MD.D.10

The bird column has 5 circles, and one circle is one student, so 5 students like bird. Write 5 in the bird cell of the table.

Counting the drawn circles transfers the count into the table.

#7 Identify Subproblems 2.OA.A.1

The 4 counts add to 15. Subtract the known ones: cat = 15 - 4 - 2 - 5 = 4 students.

15 - 4 - 2 - 5 = 4

Total minus the known fruits leaves the missing count.

#15 Organize Information in More Ways 2.MD.D.10

Completed counts: cat 4, dog 4, bird 5, fish 2, total 15. For the graph draw that many circles bottom-up in each column.

4 + 4 + 5 + 2 = 15

Each table value becomes that many circles in its column, keeping the two views consistent.

Answer: Cat = 4 students (bird = 5); completed counts: cat 4, dog 4, bird 5, fish 2, total 15.

Review

The completed counts sum to 4 + 4 + 5 + 2 = 15, matching the given total, so the table and graph agree.

Add the known counts first (11), then 15 - 11 = 4 for cat — same result.

Standards · min grade 2

2.MD.D.10 Draw and interpret picture graphs and bar graphs — Reading a count from the graph circles and drawing each completed count back onto the graph.
2.OA.A.1 Solve one- and two-step word problems using addition and subtraction within 100 — Using the total of 15 with subtraction to find the missing count.

💡 This only needs Grade 2 graph-reading and subtraction — let the table and graph fill in each other!

Variant 2 answer: Tangerine = 5 students (grape = 3); completed counts: apple 4, tangerine 5, banana 2, grape 3, total 14.

Mr. Park's class surveyed the students' favorite fruits and recorded the results in a table and a picture graph. Complete both the table and the graph.

Number of students by favorite fruit (table)

Fruit	Apple	Tangerine	Banana	Grape	Total
Number of students	$4$		$2$		$14$

Number of students by favorite fruit (graph)

The vertical axis shows the number of students from $1$ to $6$ , one student per cell, and the horizontal axis lists the fruits (apple, tangerine, banana, grape). Only the grape column has circles drawn, filling cells 1, 2, 3 from the bottom ( $3$ circles); the apple, tangerine, banana columns are empty.

(1) How many circles are in the grape column, and so how many students like grape?

(2) Find the number of students who like tangerine. $(=14-4-2-\square)$

(3) Complete both the table and the graph.

Show solution

Understand

A favorite-fruit survey is shown in both a table and a picture graph. The table gives apple = 4; banana = 2, total = 14, with grape and tangerine blank. The graph shows only grape drawn with 3 circles. I must complete both the table and the graph.

Givens

Table: apple = 4; banana = 2, total = 14; grape and tangerine blank.
Graph: grape column has 3 circles drawn (one circle = 1 student); the other columns empty.

Unknowns

Number who like grape (from the graph).
Number who like tangerine (the missing table value).
The completed table and graph.

Constraints

Each circle stands for 1 student.
The 4 fruit counts must add to the total of 14.

Plan

#15 Organize Information in More Ways · also uses: #7 Identify Subproblems

Execute

#15 Organize Information in More Ways 2.MD.D.10

The grape column has 3 circles, and one circle is one student, so 3 students like grape. Write 3 in the grape cell of the table.

Counting the drawn circles transfers the count into the table.

#7 Identify Subproblems 2.OA.A.1

The 4 counts add to 14. Subtract the known ones: tangerine = 14 - 4 - 2 - 3 = 5 students.

14 - 4 - 2 - 3 = 5

Total minus the known fruits leaves the missing count.

#15 Organize Information in More Ways 2.MD.D.10

Completed counts: apple 4, tangerine 5, banana 2, grape 3, total 14. For the graph draw that many circles bottom-up in each column.

4 + 5 + 2 + 3 = 14

Each table value becomes that many circles in its column, keeping the two views consistent.

Answer: Tangerine = 5 students (grape = 3); completed counts: apple 4, tangerine 5, banana 2, grape 3, total 14.

Review

The completed counts sum to 4 + 5 + 2 + 3 = 14, matching the given total, so the table and graph agree.

Add the known counts first (9), then 14 - 9 = 5 for tangerine — same result.

Standards · min grade 2

2.MD.D.10 Draw and interpret picture graphs and bar graphs — Reading a count from the graph circles and drawing each completed count back onto the graph.
2.OA.A.1 Solve one- and two-step word problems using addition and subtraction within 100 — Using the total of 14 with subtraction to find the missing count.

💡 This only needs Grade 2 graph-reading and subtraction — let the table and graph fill in each other!

Variant 3 answer: Tangerine = 2 students (banana = 4); completed counts: apple 6, tangerine 2, banana 4, grape 3, total 15.

Mr. Park's class surveyed the students' favorite fruits and recorded the results in a table and a picture graph. Complete both the table and the graph.

Number of students by favorite fruit (table)

Fruit	Apple	Tangerine	Banana	Grape	Total
Number of students	$6$			$3$	$15$

Number of students by favorite fruit (graph)

The vertical axis shows the number of students from $1$ to $7$ , one student per cell, and the horizontal axis lists the fruits (apple, tangerine, banana, grape). Only the banana column has circles drawn, filling cells 1, 2, 3, 4 from the bottom ( $4$ circles); the apple, tangerine, grape columns are empty.

(1) How many circles are in the banana column, and so how many students like banana?

(2) Find the number of students who like tangerine. $(=15-6-3-\square)$

(3) Complete both the table and the graph.

Show solution

Understand

A favorite-fruit survey is shown in both a table and a picture graph. The table gives apple = 6; grape = 3, total = 15, with banana and tangerine blank. The graph shows only banana drawn with 4 circles. I must complete both the table and the graph.

Givens

Table: apple = 6; grape = 3, total = 15; banana and tangerine blank.
Graph: banana column has 4 circles drawn (one circle = 1 student); the other columns empty.

Unknowns

Number who like banana (from the graph).
Number who like tangerine (the missing table value).
The completed table and graph.

Constraints

Each circle stands for 1 student.
The 4 fruit counts must add to the total of 15.

Plan

#15 Organize Information in More Ways · also uses: #7 Identify Subproblems

Execute

#15 Organize Information in More Ways 2.MD.D.10

The banana column has 4 circles, and one circle is one student, so 4 students like banana. Write 4 in the banana cell of the table.

Counting the drawn circles transfers the count into the table.

#7 Identify Subproblems 2.OA.A.1

The 4 counts add to 15. Subtract the known ones: tangerine = 15 - 6 - 3 - 4 = 2 students.

15 - 6 - 3 - 4 = 2

Total minus the known fruits leaves the missing count.

#15 Organize Information in More Ways 2.MD.D.10

Completed counts: apple 6, tangerine 2, banana 4, grape 3, total 15. For the graph draw that many circles bottom-up in each column.

6 + 2 + 4 + 3 = 15

Each table value becomes that many circles in its column, keeping the two views consistent.

Answer: Tangerine = 2 students (banana = 4); completed counts: apple 6, tangerine 2, banana 4, grape 3, total 15.

Review

The completed counts sum to 6 + 2 + 4 + 3 = 15, matching the given total, so the table and graph agree.

Add the known counts first (13), then 15 - 13 = 2 for tangerine — same result.

Standards · min grade 2

2.MD.D.10 Draw and interpret picture graphs and bar graphs — Reading a count from the graph circles and drawing each completed count back onto the graph.
2.OA.A.1 Solve one- and two-step word problems using addition and subtraction within 100 — Using the total of 15 with subtraction to find the missing count.

💡 This only needs Grade 2 graph-reading and subtraction — let the table and graph fill in each other!

Variant 4 answer: Grape = 2 students (banana = 5); completed counts: apple 3, tangerine 4, banana 5, grape 2, total 14.

Mr. Park's class surveyed the students' favorite fruits and recorded the results in a table and a picture graph. Complete both the table and the graph.

Number of students by favorite fruit (table)

Fruit	Apple	Tangerine	Banana	Grape	Total
Number of students	$3$	$4$			$14$

Number of students by favorite fruit (graph)

The vertical axis shows the number of students from $1$ to $6$ , one student per cell, and the horizontal axis lists the fruits (apple, tangerine, banana, grape). Only the banana column has circles drawn, filling cells 1, 2, 3, 4, 5 from the bottom ( $5$ circles); the apple, tangerine, grape columns are empty.

(1) How many circles are in the banana column, and so how many students like banana?

(2) Find the number of students who like grape. $(=14-3-4-\square)$

(3) Complete both the table and the graph.

Show solution

Understand

A favorite-fruit survey is shown in both a table and a picture graph. The table gives apple = 3; tangerine = 4, total = 14, with banana and grape blank. The graph shows only banana drawn with 5 circles. I must complete both the table and the graph.

Givens

Table: apple = 3; tangerine = 4, total = 14; banana and grape blank.
Graph: banana column has 5 circles drawn (one circle = 1 student); the other columns empty.

Unknowns

Number who like banana (from the graph).
Number who like grape (the missing table value).
The completed table and graph.

Constraints

Each circle stands for 1 student.
The 4 fruit counts must add to the total of 14.

Plan

#15 Organize Information in More Ways · also uses: #7 Identify Subproblems

Execute

#15 Organize Information in More Ways 2.MD.D.10

The banana column has 5 circles, and one circle is one student, so 5 students like banana. Write 5 in the banana cell of the table.

Counting the drawn circles transfers the count into the table.

#7 Identify Subproblems 2.OA.A.1

The 4 counts add to 14. Subtract the known ones: grape = 14 - 3 - 4 - 5 = 2 students.

14 - 3 - 4 - 5 = 2

Total minus the known fruits leaves the missing count.

#15 Organize Information in More Ways 2.MD.D.10

Completed counts: apple 3, tangerine 4, banana 5, grape 2, total 14. For the graph draw that many circles bottom-up in each column.

3 + 4 + 5 + 2 = 14

Each table value becomes that many circles in its column, keeping the two views consistent.

Answer: Grape = 2 students (banana = 5); completed counts: apple 3, tangerine 4, banana 5, grape 2, total 14.

Review

The completed counts sum to 3 + 4 + 5 + 2 = 14, matching the given total, so the table and graph agree.

Add the known counts first (12), then 14 - 12 = 2 for grape — same result.

Standards · min grade 2

2.MD.D.10 Draw and interpret picture graphs and bar graphs — Reading a count from the graph circles and drawing each completed count back onto the graph.
2.OA.A.1 Solve one- and two-step word problems using addition and subtraction within 100 — Using the total of 14 with subtraction to find the missing count.

💡 This only needs Grade 2 graph-reading and subtraction — let the table and graph fill in each other!

Variant 5 answer: Dog = 6 students (fish = 4); completed counts: cat 2, dog 6, bird 3, fish 4, total 15.

Mr. Park's class surveyed the students' favorite fruits and recorded the results in a table and a picture graph. Complete both the table and the graph.

Number of students by favorite fruit (table)

Fruit	Cat	Dog	Bird	Fish	Total
Number of students	$2$		$3$		$15$

Number of students by favorite fruit (graph)

The vertical axis shows the number of students from $1$ to $7$ , one student per cell, and the horizontal axis lists the fruits (cat, dog, bird, fish). Only the fish column has circles drawn, filling cells 1, 2, 3, 4 from the bottom ( $4$ circles); the cat, dog, bird columns are empty.

(1) How many circles are in the fish column, and so how many students like fish?

(2) Find the number of students who like dog. $(=15-2-3-\square)$

(3) Complete both the table and the graph.

Show solution

Understand

A favorite-fruit survey is shown in both a table and a picture graph. The table gives cat = 2; bird = 3, total = 15, with fish and dog blank. The graph shows only fish drawn with 4 circles. I must complete both the table and the graph.

Givens

Table: cat = 2; bird = 3, total = 15; fish and dog blank.
Graph: fish column has 4 circles drawn (one circle = 1 student); the other columns empty.

Unknowns

Number who like fish (from the graph).
Number who like dog (the missing table value).
The completed table and graph.

Constraints

Each circle stands for 1 student.
The 4 fruit counts must add to the total of 15.

Plan

#15 Organize Information in More Ways · also uses: #7 Identify Subproblems

Execute

#15 Organize Information in More Ways 2.MD.D.10

The fish column has 4 circles, and one circle is one student, so 4 students like fish. Write 4 in the fish cell of the table.

Counting the drawn circles transfers the count into the table.

#7 Identify Subproblems 2.OA.A.1

The 4 counts add to 15. Subtract the known ones: dog = 15 - 2 - 3 - 4 = 6 students.

15 - 2 - 3 - 4 = 6

Total minus the known fruits leaves the missing count.

#15 Organize Information in More Ways 2.MD.D.10

Completed counts: cat 2, dog 6, bird 3, fish 4, total 15. For the graph draw that many circles bottom-up in each column.

2 + 6 + 3 + 4 = 15

Each table value becomes that many circles in its column, keeping the two views consistent.

Answer: Dog = 6 students (fish = 4); completed counts: cat 2, dog 6, bird 3, fish 4, total 15.

Review

The completed counts sum to 2 + 6 + 3 + 4 = 15, matching the given total, so the table and graph agree.

Add the known counts first (9), then 15 - 9 = 6 for dog — same result.

Standards · min grade 2

2.MD.D.10 Draw and interpret picture graphs and bar graphs — Reading a count from the graph circles and drawing each completed count back onto the graph.
2.OA.A.1 Solve one- and two-step word problems using addition and subtraction within 100 — Using the total of 15 with subtraction to find the missing count.

💡 This only needs Grade 2 graph-reading and subtraction — let the table and graph fill in each other!

Variant 6 answer: Kiwi = 1 students (pear = 3); completed counts: apple 5, pear 3, melon 6, kiwi 1, total 15.

Mr. Park's class surveyed the students' favorite fruits and recorded the results in a table and a picture graph. Complete both the table and the graph.

Number of students by favorite fruit (table)

Fruit	Apple	Pear	Melon	Kiwi	Total
Number of students	$5$		$6$		$15$

Number of students by favorite fruit (graph)

The vertical axis shows the number of students from $1$ to $7$ , one student per cell, and the horizontal axis lists the fruits (apple, pear, melon, kiwi). Only the pear column has circles drawn, filling cells 1, 2, 3 from the bottom ( $3$ circles); the apple, melon, kiwi columns are empty.

(1) How many circles are in the pear column, and so how many students like pear?

(2) Find the number of students who like kiwi. $(=15-5-6-\square)$

(3) Complete both the table and the graph.

Show solution

Understand

A favorite-fruit survey is shown in both a table and a picture graph. The table gives apple = 5; melon = 6, total = 15, with pear and kiwi blank. The graph shows only pear drawn with 3 circles. I must complete both the table and the graph.

Givens

Table: apple = 5; melon = 6, total = 15; pear and kiwi blank.
Graph: pear column has 3 circles drawn (one circle = 1 student); the other columns empty.

Unknowns

Number who like pear (from the graph).
Number who like kiwi (the missing table value).
The completed table and graph.

Constraints

Each circle stands for 1 student.
The 4 fruit counts must add to the total of 15.

Plan

#15 Organize Information in More Ways · also uses: #7 Identify Subproblems

Execute

#15 Organize Information in More Ways 2.MD.D.10

The pear column has 3 circles, and one circle is one student, so 3 students like pear. Write 3 in the pear cell of the table.

Counting the drawn circles transfers the count into the table.

#7 Identify Subproblems 2.OA.A.1

The 4 counts add to 15. Subtract the known ones: kiwi = 15 - 5 - 6 - 3 = 1 students.

15 - 5 - 6 - 3 = 1

Total minus the known fruits leaves the missing count.

#15 Organize Information in More Ways 2.MD.D.10

Completed counts: apple 5, pear 3, melon 6, kiwi 1, total 15. For the graph draw that many circles bottom-up in each column.

5 + 3 + 6 + 1 = 15

Each table value becomes that many circles in its column, keeping the two views consistent.

Answer: Kiwi = 1 students (pear = 3); completed counts: apple 5, pear 3, melon 6, kiwi 1, total 15.

Review

The completed counts sum to 5 + 3 + 6 + 1 = 15, matching the given total, so the table and graph agree.

Add the known counts first (14), then 15 - 14 = 1 for kiwi — same result.

Standards · min grade 2

2.MD.D.10 Draw and interpret picture graphs and bar graphs — Reading a count from the graph circles and drawing each completed count back onto the graph.
2.OA.A.1 Solve one- and two-step word problems using addition and subtraction within 100 — Using the total of 15 with subtraction to find the missing count.

💡 This only needs Grade 2 graph-reading and subtraction — let the table and graph fill in each other!

Variant 7 answer: Tangerine = 6 students (grape = 4); completed counts: apple 5, tangerine 6, banana 3, grape 4, total 18.

Mr. Park's class surveyed the students' favorite fruits and recorded the results in a table and a picture graph. Complete both the table and the graph.

Number of students by favorite fruit (table)

Fruit	Apple	Tangerine	Banana	Grape	Total
Number of students	$5$		$3$		$18$

Number of students by favorite fruit (graph)

The vertical axis shows the number of students from $1$ to $7$ , one student per cell, and the horizontal axis lists the fruits (apple, tangerine, banana, grape). Only the grape column has circles drawn, filling cells 1, 2, 3, 4 from the bottom ( $4$ circles); the apple, tangerine, banana columns are empty.

(1) How many circles are in the grape column, and so how many students like grape?

(2) Find the number of students who like tangerine. $(=18-5-3-\square)$

(3) Complete both the table and the graph.

Show solution

Understand

A favorite-fruit survey is shown in both a table and a picture graph. The table gives apple = 5; banana = 3, total = 18, with grape and tangerine blank. The graph shows only grape drawn with 4 circles. I must complete both the table and the graph.

Givens

Table: apple = 5; banana = 3, total = 18; grape and tangerine blank.
Graph: grape column has 4 circles drawn (one circle = 1 student); the other columns empty.

Unknowns

Number who like grape (from the graph).
Number who like tangerine (the missing table value).
The completed table and graph.

Constraints

Each circle stands for 1 student.
The 4 fruit counts must add to the total of 18.

Plan

#15 Organize Information in More Ways · also uses: #7 Identify Subproblems

Execute

#15 Organize Information in More Ways 2.MD.D.10

The grape column has 4 circles, and one circle is one student, so 4 students like grape. Write 4 in the grape cell of the table.

Counting the drawn circles transfers the count into the table.

#7 Identify Subproblems 2.OA.A.1

The 4 counts add to 18. Subtract the known ones: tangerine = 18 - 5 - 3 - 4 = 6 students.

18 - 5 - 3 - 4 = 6

Total minus the known fruits leaves the missing count.

#15 Organize Information in More Ways 2.MD.D.10

Completed counts: apple 5, tangerine 6, banana 3, grape 4, total 18. For the graph draw that many circles bottom-up in each column.

5 + 6 + 3 + 4 = 18

Each table value becomes that many circles in its column, keeping the two views consistent.

Answer: Tangerine = 6 students (grape = 4); completed counts: apple 5, tangerine 6, banana 3, grape 4, total 18.

Review

The completed counts sum to 5 + 6 + 3 + 4 = 18, matching the given total, so the table and graph agree.

Add the known counts first (12), then 18 - 12 = 6 for tangerine — same result.

Standards · min grade 2

2.MD.D.10 Draw and interpret picture graphs and bar graphs — Reading a count from the graph circles and drawing each completed count back onto the graph.
2.OA.A.1 Solve one- and two-step word problems using addition and subtraction within 100 — Using the total of 18 with subtraction to find the missing count.

💡 This only needs Grade 2 graph-reading and subtraction — let the table and graph fill in each other!

Variant 8 answer: Melon = 4 students (apple = 3); completed counts: apple 3, pear 5, melon 4, kiwi 2, total 14.

Mr. Park's class surveyed the students' favorite fruits and recorded the results in a table and a picture graph. Complete both the table and the graph.

Number of students by favorite fruit (table)

Fruit	Apple	Pear	Melon	Kiwi	Total
Number of students		$5$		$2$	$14$

Number of students by favorite fruit (graph)

The vertical axis shows the number of students from $1$ to $6$ , one student per cell, and the horizontal axis lists the fruits (apple, pear, melon, kiwi). Only the apple column has circles drawn, filling cells 1, 2, 3 from the bottom ( $3$ circles); the pear, melon, kiwi columns are empty.

(1) How many circles are in the apple column, and so how many students like apple?

(2) Find the number of students who like melon. $(=14-5-2-\square)$

(3) Complete both the table and the graph.

Show solution

Understand

A favorite-fruit survey is shown in both a table and a picture graph. The table gives pear = 5; kiwi = 2, total = 14, with apple and melon blank. The graph shows only apple drawn with 3 circles. I must complete both the table and the graph.

Givens

Table: pear = 5; kiwi = 2, total = 14; apple and melon blank.
Graph: apple column has 3 circles drawn (one circle = 1 student); the other columns empty.

Unknowns

Number who like apple (from the graph).
Number who like melon (the missing table value).
The completed table and graph.

Constraints

Each circle stands for 1 student.
The 4 fruit counts must add to the total of 14.

Plan

#15 Organize Information in More Ways · also uses: #7 Identify Subproblems

Execute

#15 Organize Information in More Ways 2.MD.D.10

The apple column has 3 circles, and one circle is one student, so 3 students like apple. Write 3 in the apple cell of the table.

Counting the drawn circles transfers the count into the table.

#7 Identify Subproblems 2.OA.A.1

The 4 counts add to 14. Subtract the known ones: melon = 14 - 5 - 2 - 3 = 4 students.

14 - 5 - 2 - 3 = 4

Total minus the known fruits leaves the missing count.

#15 Organize Information in More Ways 2.MD.D.10

Completed counts: apple 3, pear 5, melon 4, kiwi 2, total 14. For the graph draw that many circles bottom-up in each column.

3 + 5 + 4 + 2 = 14

Each table value becomes that many circles in its column, keeping the two views consistent.

Answer: Melon = 4 students (apple = 3); completed counts: apple 3, pear 5, melon 4, kiwi 2, total 14.

Review

The completed counts sum to 3 + 5 + 4 + 2 = 14, matching the given total, so the table and graph agree.

Add the known counts first (10), then 14 - 10 = 4 for melon — same result.

Standards · min grade 2

2.MD.D.10 Draw and interpret picture graphs and bar graphs — Reading a count from the graph circles and drawing each completed count back onto the graph.
2.OA.A.1 Solve one- and two-step word problems using addition and subtraction within 100 — Using the total of 14 with subtraction to find the missing count.

💡 This only needs Grade 2 graph-reading and subtraction — let the table and graph fill in each other!