Fill a table and complete a line graph from clues
4.OA.A.35.MD.B.2
Generated variants — 8
The line graph shows the books sold recorded each month. In June the count was more than in May, and the number in June and July together is . Complete the line graph.
(Figure) A line graph titled "Books Sold." The horizontal axis shows the month - (March), (April), (May), (June), (July). The vertical axis shows the number of books, with major gridlines at , , , , and each small grid square worth books. Points are plotted and joined for March at ; April at ; May at ; the points for June and July have not yet been plotted.
Show solution
1 · Understandwhat's really being asked
A line graph of books sold each month shows March = 120, April = 220, May = 160; June and July are blank. June is 40 more than May, and June + July together is 500. I must find the June and July counts to complete the graph.
Givens
- March = 120 books, April = 220 books, May = 160 books
- June = May + 40
- June + July = 500
- Each small grid square = 20 books
Unknowns
- Number of books made in June
- Number of books made in July
Constraints
- Plotted June and July values must land on grid squares worth 20 each
2 · Planchoose the strategy
#7 Identify Subproblems
I solve in order from what I can already know: first June (May plus 40), then July (the 500 total minus June). Each is a one-step subproblem, and finding July uses the total backwards.
3 · Execute3 carry out the plan
1Find June
2Find July
3Plot the points
4 · Reviewdoes it hold up?
Check the clues: June 200 is indeed 40 more than May 160, and June 200 + July 300 = 500 as required. Both values land neatly on grid lines (multiples of 20), so the plotted points are valid.
Standardsmin grade 5
4.OA.A.3Solve multi-step word problems using four operations with whole numbers — Computing June from May and July from the total5.MD.B.2Make a line plot to display a data set and solve problems using the data — Placing the June and July values on the scaled graph
The line graph shows the tickets sold recorded each month. In July the count was more than in June, and the number in July and August together is . Complete the line graph.
(Figure) A line graph titled "Tickets Sold." The horizontal axis shows the month - (April), (May), (June), (July), (August). The vertical axis shows the number of tickets, with major gridlines at , , , , and each small grid square worth tickets. Points are plotted and joined for April at ; May at ; June at ; the points for July and August have not yet been plotted.
Show solution
1 · Understandwhat's really being asked
A line graph of tickets sold each month shows April = 240, May = 340, June = 220; July and August are blank. July is 80 more than June, and July + August together is 600. I must find the July and August counts to complete the graph.
Givens
- April = 240 tickets, May = 340 tickets, June = 220 tickets
- July = June + 80
- July + August = 600
- Each small grid square = 20 tickets
Unknowns
- Number of tickets made in July
- Number of tickets made in August
Constraints
- Plotted July and August values must land on grid squares worth 20 each
2 · Planchoose the strategy
#7 Identify Subproblems
I solve in order from what I can already know: first July (June plus 80), then August (the 600 total minus July). Each is a one-step subproblem, and finding August uses the total backwards.
3 · Execute3 carry out the plan
1Find July
2Find August
3Plot the points
4 · Reviewdoes it hold up?
Check the clues: July 300 is indeed 80 more than June 220, and July 300 + August 300 = 600 as required. Both values land neatly on grid lines (multiples of 20), so the plotted points are valid.
Standardsmin grade 5
4.OA.A.3Solve multi-step word problems using four operations with whole numbers — Computing July from June and August from the total5.MD.B.2Make a line plot to display a data set and solve problems using the data — Placing the July and August values on the scaled graph
The line graph shows the picture frames made recorded each month. In July the count was more than in June, and the number in July and August together is . Complete the line graph.
(Figure) A line graph titled "Picture Frames Made." The horizontal axis shows the month - (April), (May), (June), (July), (August). The vertical axis shows the number of frames, with major gridlines at , , , , and each small grid square worth frames. Points are plotted and joined for April at ; May at ; June at ; the points for July and August have not yet been plotted.
Show solution
1 · Understandwhat's really being asked
A line graph of picture frames made each month shows April = 280, May = 380, June = 180; July and August are blank. July is 80 more than June, and July + August together is 640. I must find the July and August counts to complete the graph.
Givens
- April = 280 frames, May = 380 frames, June = 180 frames
- July = June + 80
- July + August = 640
- Each small grid square = 20 frames
Unknowns
- Number of frames made in July
- Number of frames made in August
Constraints
- Plotted July and August values must land on grid squares worth 20 each
2 · Planchoose the strategy
#7 Identify Subproblems
I solve in order from what I can already know: first July (June plus 80), then August (the 640 total minus July). Each is a one-step subproblem, and finding August uses the total backwards.
3 · Execute3 carry out the plan
1Find July
2Find August
3Plot the points
4 · Reviewdoes it hold up?
Check the clues: July 260 is indeed 80 more than June 180, and July 260 + August 380 = 640 as required. Both values land neatly on grid lines (multiples of 20), so the plotted points are valid.
Standardsmin grade 5
4.OA.A.3Solve multi-step word problems using four operations with whole numbers — Computing July from June and August from the total5.MD.B.2Make a line plot to display a data set and solve problems using the data — Placing the July and August values on the scaled graph
The line graph shows the cups sold recorded each month. In August the count was more than in July, and the number in August and September together is . Complete the line graph.
(Figure) A line graph titled "Cups Sold." The horizontal axis shows the month - (May), (June), (July), (August), (September). The vertical axis shows the number of cups, with major gridlines at , , , , and each small grid square worth cups. Points are plotted and joined for May at ; June at ; July at ; the points for August and September have not yet been plotted.
Show solution
1 · Understandwhat's really being asked
A line graph of cups sold each month shows May = 200, June = 320, July = 260; August and September are blank. August is 40 more than July, and August + September together is 680. I must find the August and September counts to complete the graph.
Givens
- May = 200 cups, June = 320 cups, July = 260 cups
- August = July + 40
- August + September = 680
- Each small grid square = 20 cups
Unknowns
- Number of cups made in August
- Number of cups made in September
Constraints
- Plotted August and September values must land on grid squares worth 20 each
2 · Planchoose the strategy
#7 Identify Subproblems
I solve in order from what I can already know: first August (July plus 40), then September (the 680 total minus August). Each is a one-step subproblem, and finding September uses the total backwards.
3 · Execute3 carry out the plan
1Find August
2Find September
3Plot the points
4 · Reviewdoes it hold up?
Check the clues: August 300 is indeed 40 more than July 260, and August 300 + September 380 = 680 as required. Both values land neatly on grid lines (multiples of 20), so the plotted points are valid.
Standardsmin grade 5
4.OA.A.3Solve multi-step word problems using four operations with whole numbers — Computing August from July and September from the total5.MD.B.2Make a line plot to display a data set and solve problems using the data — Placing the August and September values on the scaled graph
The line graph shows the loaves baked recorded each day. In Day 4 the count was more than in Day 3, and the number in Day 4 and Day 5 together is . Complete the line graph.
(Figure) A line graph titled "Loaves Baked." The horizontal axis shows the day - (Day 1), (Day 2), (Day 3), (Day 4), (Day 5). The vertical axis shows the number of loaves, with major gridlines at , , , , and each small grid square worth loaves. Points are plotted and joined for Day 1 at ; Day 2 at ; Day 3 at ; the points for Day 4 and Day 5 have not yet been plotted.
Show solution
1 · Understandwhat's really being asked
A line graph of loaves baked each day shows Day 1 = 180, Day 2 = 280, Day 3 = 140; Day 4 and Day 5 are blank. Day 4 is 60 more than Day 3, and Day 4 + Day 5 together is 460. I must find the Day 4 and Day 5 counts to complete the graph.
Givens
- Day 1 = 180 loaves, Day 2 = 280 loaves, Day 3 = 140 loaves
- Day 4 = Day 3 + 60
- Day 4 + Day 5 = 460
- Each small grid square = 20 loaves
Unknowns
- Number of loaves made in Day 4
- Number of loaves made in Day 5
Constraints
- Plotted Day 4 and Day 5 values must land on grid squares worth 20 each
2 · Planchoose the strategy
#7 Identify Subproblems
I solve in order from what I can already know: first Day 4 (Day 3 plus 60), then Day 5 (the 460 total minus Day 4). Each is a one-step subproblem, and finding Day 5 uses the total backwards.
3 · Execute3 carry out the plan
1Find Day 4
2Find Day 5
3Plot the points
4 · Reviewdoes it hold up?
Check the clues: Day 4 200 is indeed 60 more than Day 3 140, and Day 4 200 + Day 5 260 = 460 as required. Both values land neatly on grid lines (multiples of 20), so the plotted points are valid.
Standardsmin grade 5
4.OA.A.3Solve multi-step word problems using four operations with whole numbers — Computing Day 4 from Day 3 and Day 5 from the total5.MD.B.2Make a line plot to display a data set and solve problems using the data — Placing the Day 4 and Day 5 values on the scaled graph
The line graph shows the kites made recorded each week. In Week 4 the count was more than in Week 3, and the number in Week 4 and Week 5 together is . Complete the line graph.
(Figure) A line graph titled "Kites Made." The horizontal axis shows the week - (Week 1), (Week 2), (Week 3), (Week 4), (Week 5). The vertical axis shows the number of kites, with major gridlines at , , , , and each small grid square worth kites. Points are plotted and joined for Week 1 at ; Week 2 at ; Week 3 at ; the points for Week 4 and Week 5 have not yet been plotted.
Show solution
1 · Understandwhat's really being asked
A line graph of kites made each week shows Week 1 = 140, Week 2 = 240, Week 3 = 180; Week 4 and Week 5 are blank. Week 4 is 80 more than Week 3, and Week 4 + Week 5 together is 580. I must find the Week 4 and Week 5 counts to complete the graph.
Givens
- Week 1 = 140 kites, Week 2 = 240 kites, Week 3 = 180 kites
- Week 4 = Week 3 + 80
- Week 4 + Week 5 = 580
- Each small grid square = 20 kites
Unknowns
- Number of kites made in Week 4
- Number of kites made in Week 5
Constraints
- Plotted Week 4 and Week 5 values must land on grid squares worth 20 each
2 · Planchoose the strategy
#7 Identify Subproblems
I solve in order from what I can already know: first Week 4 (Week 3 plus 80), then Week 5 (the 580 total minus Week 4). Each is a one-step subproblem, and finding Week 5 uses the total backwards.
3 · Execute3 carry out the plan
1Find Week 4
2Find Week 5
3Plot the points
4 · Reviewdoes it hold up?
Check the clues: Week 4 260 is indeed 80 more than Week 3 180, and Week 4 260 + Week 5 320 = 580 as required. Both values land neatly on grid lines (multiples of 20), so the plotted points are valid.
Standardsmin grade 5
4.OA.A.3Solve multi-step word problems using four operations with whole numbers — Computing Week 4 from Week 3 and Week 5 from the total5.MD.B.2Make a line plot to display a data set and solve problems using the data — Placing the Week 4 and Week 5 values on the scaled graph
The line graph shows the bottles filled recorded each day. In Day 4 the count was more than in Day 3, and the number in Day 4 and Day 5 together is . Complete the line graph.
(Figure) A line graph titled "Bottles Filled." The horizontal axis shows the day - (Day 1), (Day 2), (Day 3), (Day 4), (Day 5). The vertical axis shows the number of bottles, with major gridlines at , , , , and each small grid square worth bottles. Points are plotted and joined for Day 1 at ; Day 2 at ; Day 3 at ; the points for Day 4 and Day 5 have not yet been plotted.
Show solution
1 · Understandwhat's really being asked
A line graph of bottles filled each day shows Day 1 = 160, Day 2 = 260, Day 3 = 200; Day 4 and Day 5 are blank. Day 4 is 100 more than Day 3, and Day 4 + Day 5 together is 640. I must find the Day 4 and Day 5 counts to complete the graph.
Givens
- Day 1 = 160 bottles, Day 2 = 260 bottles, Day 3 = 200 bottles
- Day 4 = Day 3 + 100
- Day 4 + Day 5 = 640
- Each small grid square = 20 bottles
Unknowns
- Number of bottles made in Day 4
- Number of bottles made in Day 5
Constraints
- Plotted Day 4 and Day 5 values must land on grid squares worth 20 each
2 · Planchoose the strategy
#7 Identify Subproblems
I solve in order from what I can already know: first Day 4 (Day 3 plus 100), then Day 5 (the 640 total minus Day 4). Each is a one-step subproblem, and finding Day 5 uses the total backwards.
3 · Execute3 carry out the plan
1Find Day 4
2Find Day 5
3Plot the points
4 · Reviewdoes it hold up?
Check the clues: Day 4 300 is indeed 100 more than Day 3 200, and Day 4 300 + Day 5 340 = 640 as required. Both values land neatly on grid lines (multiples of 20), so the plotted points are valid.
Standardsmin grade 5
4.OA.A.3Solve multi-step word problems using four operations with whole numbers — Computing Day 4 from Day 3 and Day 5 from the total5.MD.B.2Make a line plot to display a data set and solve problems using the data — Placing the Day 4 and Day 5 values on the scaled graph
The line graph shows the toy cars made recorded each week. In Week 4 the count was more than in Week 3, and the number in Week 4 and Week 5 together is . Complete the line graph.
(Figure) A line graph titled "Toy Cars Made." The horizontal axis shows the week - (Week 1), (Week 2), (Week 3), (Week 4), (Week 5). The vertical axis shows the number of cars, with major gridlines at , , , , and each small grid square worth cars. Points are plotted and joined for Week 1 at ; Week 2 at ; Week 3 at ; the points for Week 4 and Week 5 have not yet been plotted.
Show solution
1 · Understandwhat's really being asked
A line graph of toy cars made each week shows Week 1 = 200, Week 2 = 300, Week 3 = 240; Week 4 and Week 5 are blank. Week 4 is 60 more than Week 3, and Week 4 + Week 5 together is 700. I must find the Week 4 and Week 5 counts to complete the graph.
Givens
- Week 1 = 200 cars, Week 2 = 300 cars, Week 3 = 240 cars
- Week 4 = Week 3 + 60
- Week 4 + Week 5 = 700
- Each small grid square = 20 cars
Unknowns
- Number of cars made in Week 4
- Number of cars made in Week 5
Constraints
- Plotted Week 4 and Week 5 values must land on grid squares worth 20 each
2 · Planchoose the strategy
#7 Identify Subproblems
I solve in order from what I can already know: first Week 4 (Week 3 plus 60), then Week 5 (the 700 total minus Week 4). Each is a one-step subproblem, and finding Week 5 uses the total backwards.
3 · Execute3 carry out the plan
1Find Week 4
2Find Week 5
3Plot the points
4 · Reviewdoes it hold up?
Check the clues: Week 4 300 is indeed 60 more than Week 3 240, and Week 4 300 + Week 5 400 = 700 as required. Both values land neatly on grid lines (multiples of 20), so the plotted points are valid.
Standardsmin grade 5
4.OA.A.3Solve multi-step word problems using four operations with whole numbers — Computing Week 4 from Week 3 and Week 5 from the total5.MD.B.2Make a line plot to display a data set and solve problems using the data — Placing the Week 4 and Week 5 values on the scaled graph