← 4-1 · Convert a table into a bar graph · Read and Scale a Data Graph

Convert a table into a bar graph · 8 practice problems

3.MD.B.3

Generated variants — 8

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

Variant 1 answer: Cookies = 8 and chips = 3 in both the table and the bar graph

Lucas surveyed classmates about their favorite item and recorded the results in both a table and a bar graph. The table lists $8$ students for cookies and $3$ students for chips. The bar graph shows a bar of $8$ for cookies and a bar of $3$ for chips.

Find the data that is missing from the table by reading the graph, and find the data that is missing from the graph by reading the table, so that both the table and the bar graph are completed.

The bar graph's vertical axis shows the number of students, with gridlines marked at $0$ , $5$ , and $10$ . The horizontal axis lists cookies and chips. The cookies bar has a height of $8$ and the chips bar has a height of $3$ .

Show solution

Understand

The same survey of favorite items is shown both as a table and as a bar graph. The table says cookies 8 and chips 3, and the bar graph shows a cookies bar of 8 and a chips bar of 3. Use each representation to fill in what is missing in the other.

Givens

Table: cookies = 8, chips = 3
Bar graph: cookies bar height = 8, chips bar height = 3
Bar-graph gridlines are at 0, 5, and 10

Unknowns

The missing table entry (read from the graph)
The missing graph bar (read from the table)

Constraints

A table number and its matching bar height must be equal
Bar heights are read against the 0-5-10 scale

Plan

#15 Organize Information in More Ways · also uses: #1 Draw a Diagram

A table and a bar graph are two views of the same data. We translate between the two representations so each missing slot copies its partner's value.

Execute

#15 Organize Information in More Ways 3.MD.B.3

The cookies bar rises to 8 and the chips bar rises to 3, so the table values are cookies 8 and chips 3.

\text{cookies bar} = 8,\quad \text{chips bar} = 3

A bar's height tells you the count it stands for.

#1 Draw a Diagram 3.MD.B.3

The table lists cookies 8 and chips 3, so the cookies bar is drawn to 8 and the chips bar to 3.

8 \text{ (cookies)},\ 3 \text{ (chips)}

To draw a bar, raise it to the number the table gives.

#15 Organize Information in More Ways 3.MD.B.3

Both views now agree: cookies are 8 and chips are 3 in the table and in the graph.

8 = 8,\quad 3 = 3

Two correct pictures of the same survey must show the same numbers.

Answer: Cookies = 8 and chips = 3 in both the table and the bar graph

Review

Both bars sit on the 0-5-10 scale, and the table and graph agree, so the completed pair is consistent.

Draw a diagram (tool 1): sketch each bar against the gridlines and check its top lines up with the matching table number.

Standards · min grade 3

3.MD.B.3 Draw and interpret scaled picture graphs and bar graphs — Translating between a frequency table and a bar graph to complete both

💡 This only needs Grade 3 graph reading: a table number and its bar are the same fact in two outfits!

Variant 2 answer: Juice = 2 and milk = 6 in both the table and the bar graph

Emma surveyed classmates about their favorite item and recorded the results in both a table and a bar graph. The table lists $2$ students for juice and $6$ students for milk. The bar graph shows a bar of $2$ for juice and a bar of $6$ for milk.

Find the data that is missing from the table by reading the graph, and find the data that is missing from the graph by reading the table, so that both the table and the bar graph are completed.

The bar graph's vertical axis shows the number of students, with gridlines marked at $0$ , $5$ , and $10$ . The horizontal axis lists juice and milk. The juice bar has a height of $2$ and the milk bar has a height of $6$ .

Show solution

Understand

The same survey of favorite items is shown both as a table and as a bar graph. The table says juice 2 and milk 6, and the bar graph shows a juice bar of 2 and a milk bar of 6. Use each representation to fill in what is missing in the other.

Givens

Table: juice = 2, milk = 6
Bar graph: juice bar height = 2, milk bar height = 6
Bar-graph gridlines are at 0, 5, and 10

Unknowns

The missing table entry (read from the graph)
The missing graph bar (read from the table)

Constraints

A table number and its matching bar height must be equal
Bar heights are read against the 0-5-10 scale

Plan

#15 Organize Information in More Ways · also uses: #1 Draw a Diagram

A table and a bar graph are two views of the same data. We translate between the two representations so each missing slot copies its partner's value.

Execute

#15 Organize Information in More Ways 3.MD.B.3

The juice bar rises to 2 and the milk bar rises to 6, so the table values are juice 2 and milk 6.

\text{juice bar} = 2,\quad \text{milk bar} = 6

A bar's height tells you the count it stands for.

#1 Draw a Diagram 3.MD.B.3

The table lists juice 2 and milk 6, so the juice bar is drawn to 2 and the milk bar to 6.

2 \text{ (juice)},\ 6 \text{ (milk)}

To draw a bar, raise it to the number the table gives.

#15 Organize Information in More Ways 3.MD.B.3

Both views now agree: juice are 2 and milk are 6 in the table and in the graph.

2 = 2,\quad 6 = 6

Two correct pictures of the same survey must show the same numbers.

Answer: Juice = 2 and milk = 6 in both the table and the bar graph

Review

Both bars sit on the 0-5-10 scale, and the table and graph agree, so the completed pair is consistent.

Draw a diagram (tool 1): sketch each bar against the gridlines and check its top lines up with the matching table number.

Standards · min grade 3

3.MD.B.3 Draw and interpret scaled picture graphs and bar graphs — Translating between a frequency table and a bar graph to complete both

💡 This only needs Grade 3 graph reading: a table number and its bar are the same fact in two outfits!

Variant 3 answer: Blue = 7 and green = 5 in both the table and the bar graph

Noah surveyed classmates about their favorite item and recorded the results in both a table and a bar graph. The table lists $7$ students for blue and $5$ students for green. The bar graph shows a bar of $7$ for blue and a bar of $5$ for green.

Find the data that is missing from the table by reading the graph, and find the data that is missing from the graph by reading the table, so that both the table and the bar graph are completed.

The bar graph's vertical axis shows the number of students, with gridlines marked at $0$ , $5$ , and $10$ . The horizontal axis lists blue and green. The blue bar has a height of $7$ and the green bar has a height of $5$ .

Show solution

Understand

The same survey of favorite items is shown both as a table and as a bar graph. The table says blue 7 and green 5, and the bar graph shows a blue bar of 7 and a green bar of 5. Use each representation to fill in what is missing in the other.

Givens

Table: blue = 7, green = 5
Bar graph: blue bar height = 7, green bar height = 5
Bar-graph gridlines are at 0, 5, and 10

Unknowns

The missing table entry (read from the graph)
The missing graph bar (read from the table)

Constraints

A table number and its matching bar height must be equal
Bar heights are read against the 0-5-10 scale

Plan

#15 Organize Information in More Ways · also uses: #1 Draw a Diagram

A table and a bar graph are two views of the same data. We translate between the two representations so each missing slot copies its partner's value.

Execute

#15 Organize Information in More Ways 3.MD.B.3

The blue bar rises to 7 and the green bar rises to 5, so the table values are blue 7 and green 5.

\text{blue bar} = 7,\quad \text{green bar} = 5

A bar's height tells you the count it stands for.

#1 Draw a Diagram 3.MD.B.3

The table lists blue 7 and green 5, so the blue bar is drawn to 7 and the green bar to 5.

7 \text{ (blue)},\ 5 \text{ (green)}

To draw a bar, raise it to the number the table gives.

#15 Organize Information in More Ways 3.MD.B.3

Both views now agree: blue are 7 and green are 5 in the table and in the graph.

7 = 7,\quad 5 = 5

Two correct pictures of the same survey must show the same numbers.

Answer: Blue = 7 and green = 5 in both the table and the bar graph

Review

Both bars sit on the 0-5-10 scale, and the table and graph agree, so the completed pair is consistent.

Draw a diagram (tool 1): sketch each bar against the gridlines and check its top lines up with the matching table number.

Standards · min grade 3

3.MD.B.3 Draw and interpret scaled picture graphs and bar graphs — Translating between a frequency table and a bar graph to complete both

💡 This only needs Grade 3 graph reading: a table number and its bar are the same fact in two outfits!

Variant 4 answer: Math = 9 and music = 4 in both the table and the bar graph

Ethan surveyed classmates about their favorite item and recorded the results in both a table and a bar graph. The table lists $9$ students for math and $4$ students for music. The bar graph shows a bar of $9$ for math and a bar of $4$ for music.

Find the data that is missing from the table by reading the graph, and find the data that is missing from the graph by reading the table, so that both the table and the bar graph are completed.

The bar graph's vertical axis shows the number of students, with gridlines marked at $0$ , $5$ , and $10$ . The horizontal axis lists math and music. The math bar has a height of $9$ and the music bar has a height of $4$ .

Show solution

Understand

The same survey of favorite items is shown both as a table and as a bar graph. The table says math 9 and music 4, and the bar graph shows a math bar of 9 and a music bar of 4. Use each representation to fill in what is missing in the other.

Givens

Table: math = 9, music = 4
Bar graph: math bar height = 9, music bar height = 4
Bar-graph gridlines are at 0, 5, and 10

Unknowns

The missing table entry (read from the graph)
The missing graph bar (read from the table)

Constraints

A table number and its matching bar height must be equal
Bar heights are read against the 0-5-10 scale

Plan

#15 Organize Information in More Ways · also uses: #1 Draw a Diagram

A table and a bar graph are two views of the same data. We translate between the two representations so each missing slot copies its partner's value.

Execute

#15 Organize Information in More Ways 3.MD.B.3

The math bar rises to 9 and the music bar rises to 4, so the table values are math 9 and music 4.

\text{math bar} = 9,\quad \text{music bar} = 4

A bar's height tells you the count it stands for.

#1 Draw a Diagram 3.MD.B.3

The table lists math 9 and music 4, so the math bar is drawn to 9 and the music bar to 4.

9 \text{ (math)},\ 4 \text{ (music)}

To draw a bar, raise it to the number the table gives.

#15 Organize Information in More Ways 3.MD.B.3

Both views now agree: math are 9 and music are 4 in the table and in the graph.

9 = 9,\quad 4 = 4

Two correct pictures of the same survey must show the same numbers.

Answer: Math = 9 and music = 4 in both the table and the bar graph

Review

Both bars sit on the 0-5-10 scale, and the table and graph agree, so the completed pair is consistent.

Draw a diagram (tool 1): sketch each bar against the gridlines and check its top lines up with the matching table number.

Standards · min grade 3

3.MD.B.3 Draw and interpret scaled picture graphs and bar graphs — Translating between a frequency table and a bar graph to complete both

💡 This only needs Grade 3 graph reading: a table number and its bar are the same fact in two outfits!

Variant 5 answer: Spring = 5 and summer = 10 in both the table and the bar graph

Olivia surveyed classmates about their favorite item and recorded the results in both a table and a bar graph. The table lists $5$ students for spring and $10$ students for summer. The bar graph shows a bar of $5$ for spring and a bar of $10$ for summer.

Find the data that is missing from the table by reading the graph, and find the data that is missing from the graph by reading the table, so that both the table and the bar graph are completed.

The bar graph's vertical axis shows the number of students, with gridlines marked at $0$ , $5$ , and $10$ . The horizontal axis lists spring and summer. The spring bar has a height of $5$ and the summer bar has a height of $10$ .

Show solution

Understand

The same survey of favorite items is shown both as a table and as a bar graph. The table says spring 5 and summer 10, and the bar graph shows a spring bar of 5 and a summer bar of 10. Use each representation to fill in what is missing in the other.

Givens

Table: spring = 5, summer = 10
Bar graph: spring bar height = 5, summer bar height = 10
Bar-graph gridlines are at 0, 5, and 10

Unknowns

The missing table entry (read from the graph)
The missing graph bar (read from the table)

Constraints

A table number and its matching bar height must be equal
Bar heights are read against the 0-5-10 scale

Plan

#15 Organize Information in More Ways · also uses: #1 Draw a Diagram

A table and a bar graph are two views of the same data. We translate between the two representations so each missing slot copies its partner's value.

Execute

#15 Organize Information in More Ways 3.MD.B.3

The spring bar rises to 5 and the summer bar rises to 10, so the table values are spring 5 and summer 10.

\text{spring bar} = 5,\quad \text{summer bar} = 10

A bar's height tells you the count it stands for.

#1 Draw a Diagram 3.MD.B.3

The table lists spring 5 and summer 10, so the spring bar is drawn to 5 and the summer bar to 10.

5 \text{ (spring)},\ 10 \text{ (summer)}

To draw a bar, raise it to the number the table gives.

#15 Organize Information in More Ways 3.MD.B.3

Both views now agree: spring are 5 and summer are 10 in the table and in the graph.

5 = 5,\quad 10 = 10

Two correct pictures of the same survey must show the same numbers.

Answer: Spring = 5 and summer = 10 in both the table and the bar graph

Review

Both bars sit on the 0-5-10 scale, and the table and graph agree, so the completed pair is consistent.

Draw a diagram (tool 1): sketch each bar against the gridlines and check its top lines up with the matching table number.

Standards · min grade 3

3.MD.B.3 Draw and interpret scaled picture graphs and bar graphs — Translating between a frequency table and a bar graph to complete both

💡 This only needs Grade 3 graph reading: a table number and its bar are the same fact in two outfits!

Variant 6 answer: Apples = 3 and bananas = 8 in both the table and the bar graph

Mia surveyed classmates about their favorite item and recorded the results in both a table and a bar graph. The table lists $3$ students for apples and $8$ students for bananas. The bar graph shows a bar of $3$ for apples and a bar of $8$ for bananas.

Find the data that is missing from the table by reading the graph, and find the data that is missing from the graph by reading the table, so that both the table and the bar graph are completed.

The bar graph's vertical axis shows the number of students, with gridlines marked at $0$ , $5$ , and $10$ . The horizontal axis lists apples and bananas. The apples bar has a height of $3$ and the bananas bar has a height of $8$ .

Show solution

Understand

The same survey of favorite items is shown both as a table and as a bar graph. The table says apples 3 and bananas 8, and the bar graph shows a apples bar of 3 and a bananas bar of 8. Use each representation to fill in what is missing in the other.

Givens

Table: apples = 3, bananas = 8
Bar graph: apples bar height = 3, bananas bar height = 8
Bar-graph gridlines are at 0, 5, and 10

Unknowns

The missing table entry (read from the graph)
The missing graph bar (read from the table)

Constraints

A table number and its matching bar height must be equal
Bar heights are read against the 0-5-10 scale

Plan

#15 Organize Information in More Ways · also uses: #1 Draw a Diagram

A table and a bar graph are two views of the same data. We translate between the two representations so each missing slot copies its partner's value.

Execute

#15 Organize Information in More Ways 3.MD.B.3

The apples bar rises to 3 and the bananas bar rises to 8, so the table values are apples 3 and bananas 8.

\text{apples bar} = 3,\quad \text{bananas bar} = 8

A bar's height tells you the count it stands for.

#1 Draw a Diagram 3.MD.B.3

The table lists apples 3 and bananas 8, so the apples bar is drawn to 3 and the bananas bar to 8.

3 \text{ (apples)},\ 8 \text{ (bananas)}

To draw a bar, raise it to the number the table gives.

#15 Organize Information in More Ways 3.MD.B.3

Both views now agree: apples are 3 and bananas are 8 in the table and in the graph.

3 = 3,\quad 8 = 8

Two correct pictures of the same survey must show the same numbers.

Answer: Apples = 3 and bananas = 8 in both the table and the bar graph

Review

Both bars sit on the 0-5-10 scale, and the table and graph agree, so the completed pair is consistent.

Draw a diagram (tool 1): sketch each bar against the gridlines and check its top lines up with the matching table number.

Standards · min grade 3

3.MD.B.3 Draw and interpret scaled picture graphs and bar graphs — Translating between a frequency table and a bar graph to complete both

💡 This only needs Grade 3 graph reading: a table number and its bar are the same fact in two outfits!

Variant 7 answer: Soccer = 6 and tennis = 2 in both the table and the bar graph

Liam surveyed classmates about their favorite item and recorded the results in both a table and a bar graph. The table lists $6$ students for soccer and $2$ students for tennis. The bar graph shows a bar of $6$ for soccer and a bar of $2$ for tennis.

Find the data that is missing from the table by reading the graph, and find the data that is missing from the graph by reading the table, so that both the table and the bar graph are completed.

The bar graph's vertical axis shows the number of students, with gridlines marked at $0$ , $5$ , and $10$ . The horizontal axis lists soccer and tennis. The soccer bar has a height of $6$ and the tennis bar has a height of $2$ .

Show solution

Understand

The same survey of favorite items is shown both as a table and as a bar graph. The table says soccer 6 and tennis 2, and the bar graph shows a soccer bar of 6 and a tennis bar of 2. Use each representation to fill in what is missing in the other.

Givens

Table: soccer = 6, tennis = 2
Bar graph: soccer bar height = 6, tennis bar height = 2
Bar-graph gridlines are at 0, 5, and 10

Unknowns

The missing table entry (read from the graph)
The missing graph bar (read from the table)

Constraints

A table number and its matching bar height must be equal
Bar heights are read against the 0-5-10 scale

Plan

#15 Organize Information in More Ways · also uses: #1 Draw a Diagram

A table and a bar graph are two views of the same data. We translate between the two representations so each missing slot copies its partner's value.

Execute

#15 Organize Information in More Ways 3.MD.B.3

The soccer bar rises to 6 and the tennis bar rises to 2, so the table values are soccer 6 and tennis 2.

\text{soccer bar} = 6,\quad \text{tennis bar} = 2

A bar's height tells you the count it stands for.

#1 Draw a Diagram 3.MD.B.3

The table lists soccer 6 and tennis 2, so the soccer bar is drawn to 6 and the tennis bar to 2.

6 \text{ (soccer)},\ 2 \text{ (tennis)}

To draw a bar, raise it to the number the table gives.

#15 Organize Information in More Ways 3.MD.B.3

Both views now agree: soccer are 6 and tennis are 2 in the table and in the graph.

6 = 6,\quad 2 = 2

Two correct pictures of the same survey must show the same numbers.

Answer: Soccer = 6 and tennis = 2 in both the table and the bar graph

Review

Both bars sit on the 0-5-10 scale, and the table and graph agree, so the completed pair is consistent.

Draw a diagram (tool 1): sketch each bar against the gridlines and check its top lines up with the matching table number.

Standards · min grade 3

3.MD.B.3 Draw and interpret scaled picture graphs and bar graphs — Translating between a frequency table and a bar graph to complete both

💡 This only needs Grade 3 graph reading: a table number and its bar are the same fact in two outfits!

Variant 8 answer: Cats = 4 and dogs = 9 in both the table and the bar graph

Ava surveyed classmates about their favorite item and recorded the results in both a table and a bar graph. The table lists $4$ students for cats and $9$ students for dogs. The bar graph shows a bar of $4$ for cats and a bar of $9$ for dogs.

Find the data that is missing from the table by reading the graph, and find the data that is missing from the graph by reading the table, so that both the table and the bar graph are completed.

The bar graph's vertical axis shows the number of students, with gridlines marked at $0$ , $5$ , and $10$ . The horizontal axis lists cats and dogs. The cats bar has a height of $4$ and the dogs bar has a height of $9$ .

Show solution

Understand

The same survey of favorite items is shown both as a table and as a bar graph. The table says cats 4 and dogs 9, and the bar graph shows a cats bar of 4 and a dogs bar of 9. Use each representation to fill in what is missing in the other.

Givens

Table: cats = 4, dogs = 9
Bar graph: cats bar height = 4, dogs bar height = 9
Bar-graph gridlines are at 0, 5, and 10

Unknowns

The missing table entry (read from the graph)
The missing graph bar (read from the table)

Constraints

A table number and its matching bar height must be equal
Bar heights are read against the 0-5-10 scale

Plan

#15 Organize Information in More Ways · also uses: #1 Draw a Diagram

A table and a bar graph are two views of the same data. We translate between the two representations so each missing slot copies its partner's value.

Execute

#15 Organize Information in More Ways 3.MD.B.3

The cats bar rises to 4 and the dogs bar rises to 9, so the table values are cats 4 and dogs 9.

\text{cats bar} = 4,\quad \text{dogs bar} = 9

A bar's height tells you the count it stands for.

#1 Draw a Diagram 3.MD.B.3

The table lists cats 4 and dogs 9, so the cats bar is drawn to 4 and the dogs bar to 9.

4 \text{ (cats)},\ 9 \text{ (dogs)}

To draw a bar, raise it to the number the table gives.

#15 Organize Information in More Ways 3.MD.B.3

Both views now agree: cats are 4 and dogs are 9 in the table and in the graph.

4 = 4,\quad 9 = 9

Two correct pictures of the same survey must show the same numbers.

Answer: Cats = 4 and dogs = 9 in both the table and the bar graph

Review

Both bars sit on the 0-5-10 scale, and the table and graph agree, so the completed pair is consistent.

Draw a diagram (tool 1): sketch each bar against the gridlines and check its top lines up with the matching table number.

Standards · min grade 3

3.MD.B.3 Draw and interpret scaled picture graphs and bar graphs — Translating between a frequency table and a bar graph to complete both

💡 This only needs Grade 3 graph reading: a table number and its bar are the same fact in two outfits!