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1 Reasoning and Problem Solving Read and Interpret Line Graphs 1 National Curriculum Objective: Mathematics Year 5: Solve comparison, sum and difference problems using information presented in a line graph Differentiation: Developing Read and interpret line graphs with 2 lines using up to 3 digit numbers. Secure Read and interpret line graphs with 2 lines using digit numbers. Mastery Read and interpret line graphs with 3 lines using digit numbers and decimals. More Reasoning and Problem Solving Resources. Did you like this resource? Don t forget to review it on our website. Reasoning and Problem Solving Read and Interpret Line Graphs Teaching Information

2 Reasoning and Problem Solving Read and Interpret Line Graphs 1 1. The graph shows the temperatures in two different cities in the summer months of 217. Blue represents London and red represents Edinburgh Jun Jul Aug Sept How much warmer was London than Edinburgh in August? Which city has the hottest average temperature? Manchester is 2 degrees colder than Edinburgh every month. Plot Manchester on the graph. 2. The graph shows how many children were in two different classes each day for a week. Blue represents Class 1 and red represents Class Mon Tue Wed Thur Fri How many more children were in Class 2 than Class 1 on Friday? Over the week, which class had the most children? Class 3 had 2 more children than Class 2 each day. Plot their class on the graph. Class had 2 less children than Class 1 each day. Plot their class on the graph. 3. The graph shows the books borrowed from two different libraries over months. Blue represents Oxford and red represents Cambridge How many more books were borrowed from Oxford than Cambridge in February? Which library had the most books borrowed over The four months? Leeds library was quieter each month and had 5 less books borrowed than Oxford every month. Plot Leeds on the graph. Jan Feb Mar Apr. The graph shows the hot dogs sold by two different stalls over months. Blue represents Sausage Dogs and red represents Dogs and Buns. 15 Sept Oct Nov Dec In which month did both stalls sell the same amount of hot dogs? Which stall sold the most hot dogs over the four months? The sausage Shack sold 5 less hot dogs each month than the lowest selling stall. Plot The Sausage Shack on the graph. Reasoning and Problem Solving Read and Interpret Line Graphs Year 5 Developing

3 Reasoning and Problem Solving Read and Interpret Line Graphs 1 5. The graph shows how many cars were sold by two different companies in the first 5 months of 217. Blue represents Gem Motors and red represents Greens How many more cars did Greens sell than Gem Motors in April? For the first 3 months of the year compare the total sales for each company. Who sold more and by how many? Red Motors sold 25 more cars than Greens each month. Plot their sales on the graph. 7. The graph shows how many miles were driven by two different companies 5 months of 217. Blue represents 27 Delivery and red represents Gotcha How many more miles did 27 travel than Gotcha in December? Compare the total miles travelled for each company. Who travelled more and by how many? What is the average amount of miles travelled by each company? Jan Feb Mar Apr May Aug Sept Oct Nov Dec 6. The graph shows how many ice creams were sold by two different companies during the warmer months of 217. Blue represents Ice Dreams and red represents Mr Whippy. Apr May Jun Jul Aug How many more ice creams did Ice Dreams sell than Mr Whippy in August? For the last 3 months compare the total sales for each company. Who sold more and by how many? The Creamery sold 25 less ice creams than Mr Whippy each month. Plot their sales on the graph. 8. The graph shows how many eggs were sold by two different companies in the first months of 217. Blue represents Happy Eggs and red represents Cluckens Jan Feb Mar Apr Which company sold the most eggs across the months? If, for the first 3 months of the year Happy Eggs sold 5 more eggs. How many would they then have sold in total? Chucks Away sold 5 more eggs than Cluckens each month. Plot their sales on the graph. Reasoning and Problem Solving Read and Interpret Line Graphs Year 5 Secure

4 Reasoning and Problem Solving Read and Interpret Line Graphs 1 9. The graph shows how many cars were sold by different companies in the first 5 months of 217. Blue RGB Garage, red Blacks, green Smiths Jan Feb Mar Apr May How many more cars did Smiths sell than Blacks in February? For the first 3 months, compare the total sales for each company. Who sold more and by how many? What is the average for each over the 3 months? 1. The graph shows how many letters were delivered by different post routes in a week. Blue Route 1, red Route 2, green Route Mon Tues Weds Thur Fri Which route delivered the most letters? How many more letters did route 3 deliver than Route 1? Route delivers 1 more letters each day than Route 3. Plot Route on the graph. Does this change Route delivers the most letters? 11. The graph shows how many tins of beans were sold by different supermarkets in 5 months of 217. Blue Asda, red Tesco, green Sainsburys May Jun Jul Aug Sept What was the average number of beans sold in June? Which supermarket sold the most tins over time? Morrisons sold 5 more tins each month than the Highest selling supermarket. Plot Morrisons on the graph. 12. The graph shows the temperature in 3 different holiday destinations over months of 217. Blue Berlin, red Barcelona, green Venice. What was the average temperature in Barcelona? How much hotter was Berlin than Venice in May? What was the average temperature in July? Turin was.5 degrees colder than Venice each month. Plot Turin on the graph Reasoning and Problem Solving Read and Interpret Line Graphs Year 5 Mastery May Jun July Aug

5 Reasoning and Problem Solving Read and Interpret Line Graphs 1 Developing 1. 3 degrees; London 39, Edinburgh 39, The average temperature is the same; Points on graph are all one interval down from Edinburgh. 2. 6; Class 1 15, Class 2 1 Difference of 1, Class 1 had more; Points on graph are equivalent to one interval up from Class 2; Points on graph are equivalent to one interval down from Class ; Oxford 75, Cambridge 8, Difference of 5, Cambridge had the most books borrowed; Points on graph are all half an interval down from Oxford. October; Sausage Dogs 1,3, Dogs and Buns 1,2, Difference of 1, Sausage Dogs sold more; Points on graph are all half an interval down from the lowest point each month. Secure 5. 5; Greens 5,5, Gem Motors 5,5 Difference of therefore they sold the same; Points on graph are all half an interval up from Greens ; Ice Dreams 6,, Mr Whippy 5,75, Difference of 25, Ice Dreams sold more; Points on graph are all half an interval down from Mr Whippy. 7. 2,5; 27 17,75, Gotcha 1,25, Difference of 3,5, 27 travelled more; 27 17,75 5 = 3,55, Gotcha 1,25 5 = 2,85 8. Happy Eggs 23,25, Cluckens 2,25, Difference of 1,, Cluckens sold more; 2,75; Points on graph are all the equivalent of one interval up from Cluckens. Mastery 9. 9; RGB 17,39, Blacks 17,27, Smiths 17,31, Difference of 8 to Smiths, RGB sold more. Averages, RGB 5,797, Blacks 5,757 Smiths 5,77 1. Route 1-26,8, Route 2 27,75, Route 3 27,2, Route 2 delivers the most letters, ; Points on graph are all the equivalent of one interval up from Route 3, No Route 2 still delivers more. 11.,5 3 = 13,5; Asda 68,, Tesco 6,5, Sainsburys 7,, Sainsburys sold most; Points on graph are all half an interval up from the highest point each month ; 1.5 degrees; 38.5; Points on graph are all one interval down from Venice. Reasoning and Problem Solving Read and Interpret Line Graphs ANSWERS

6 Reasoning and Problem Solving Read and Interpret Line Graphs 2 National Curriculum Objective: Mathematics Year 5: Solve comparison, sum and difference problems using information presented in a line graph Differentiation: Developing Read and interpret line graphs with labelled axis and grid lines. Secure Read and interpret line graphs with distance and time labelled axis. Mastery Read and interpret line graphs with various labelled axis. More Reasoning and Problem Solving Resources. Did you like this resource? Don t forget to review it on our website. Reasoning and Problem Solving Read and Interpret Line Graphs Teaching Information

7 Height in cm in miles Amount of books in cm in miles Amount of children Reasoning and Problem Solving Read and Interpret Line Graphs 2 Altitude in ft Viewers in millions in metres Rainfall in mm Cakes sold Pieces of fruit 1. Match the graph to the activity. 2. Match the graph to the activity in minutes in minutes Apr May Jun Jul Birthday Month Year in minutes Sep Oct Nov Dec Month How many children have birthdays in which month The snail travelled 3cm in 3 minutes The car parked 2 miles from the owner s house How many books Sebastian read How tall Harry grew each year Jamal walked four miles to his house. Reasoning and Problem Solving Read and Interpret Line Graphs Year 5 Developing Jan Feb Mar Apr Month in seconds Mon Tue Wed Thu Days of the week , 18, 12, 6, Fri 1 Sat Sun Mon Weekday 2 3 Weeks in minutes A baker s record of how many cakes are sold in a week How far Mo ran in the sprint race The average rainfall at the beginning of the year 3. Match the graph to the activity.. Match the graph to the activity. Take off plan for an aeroplane Box office figures for the opening weekend of The Hulk Log for fruit eaten in the monkey enclosure

8 Reasoning and Problem Solving Read and Interpret Line Graphs 2 5. Match the graph to the activity. 6. Match the graph to the activity. A lorry travels at constant speed on the motorway. A car is parked outside a house. Leo cycles to the end of the road and back. 7. Match the graph to the activity. 8. Match the graph to the activity. Brian forgot his wallet, so went back home to collect it Mr Thompson travelled home on the train Lucy drives to a car park and parks while she goes shopping Joel ran two laps of the race track Amir stops at the red light, continues, then stops at the next set of lights After coffee with her friend, Elif walked home Reasoning and Problem Solving Read and Interpret Line Graphs Year 5 Secure A car travelling through town Someone walking to school A rocket going to the moon

9 Temperature Miles Reasoning and Problem Solving Read and Interpret Line Graphs 2 Visitors Visitors Visitors Litres 9. Match the graph to the activity. 1. Match the graph to the activity. Temperature Temperature The temperature of a cake, when it s taken out of the oven Average temperatures over a year A record of visitors to a theme park over the summer Visitors to a café (that serves lunch and dinner) during the day Boiling a kettle of water Visitors during the winter months to an outdoor park 11. Match the graph to the activity. 12. Match the graph to the activity. Miles Miles Mike was dropped in town, and walked home A bus that drives to the opposite side of town and back Litres Litres Re-filling a paddling pool that children are splashing in Emptying a bath A pizza delivery person Filling a bath Reasoning and Problem Solving Read and Interpret Line Graphs Year 5 Mastery

10 Developing 1. The first graph matches with the second Reasoning and Problem Solving Read and Interpret Line Graphs 2 2. The first graph matches with the third 3. The first graph matches with the second. The first graph matches with the second Second graph with the second Secure 5. The first graph matches with the second 6. The first graph matches with the second 7. The first graph matches with the third 8. The first graph matches with the second Second graph with the first Second graph with the second Second graph with the first Third graph with the third Third graph with the third Mastery 9. The first graph matches with the second 1. The first graph matches with the first 11. The first graph matches with the second 12. The first graph matches with the third Second graph with the first Third graph with the second Reasoning and Problem Solving Read and Interpret Line Graphs ANSWERS Third graph with the second

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