Using Bar Models to Solve Word Problems Effectively
Learn how to use bar models to solve complex word problems step by step. The provided examples cover various scenarios, including age differences, money distribution, and height comparisons. Through visual representation, you can understand relationships between quantities and solve the problems efficiently.
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You have two minutes to think about this problem. If you find an answer, use the time to think about how you can explain how you found your answer. Mrs Weasley is twice as old as her son Percy, who is three times as old as his sister, Ginny. If their total age is 70 years, How old is Percy? Today we will use the bar model to solve word problems
Using the bar model to solve word problems Mrs Weasley is twice as old as her son Percy, who is three times as old as his sister, Ginny. If their total age is 70 years, How old is Percy? Ginny 70 70 Percy Mrs Weasley How can you use this to solve the problem? Why was Ginny s block drawn first?
Using the bar model to solve word problems Tom has twice the amount of money as Eva who has four times as much as Kat. If the total amount of money they have is 39, how much money does Tom have? Whose block should we draw first? Why? Have a go at drawing blocks for this problem.
Using the bar model to solve word problems Tom has twice the amount of money as Eva who has four times as much as Kat. If the total amount of money they have is 39, how much money does Tom have? Kat 39 39 Eva Tom
Using the bar model to solve word problems Charlie, Sally and Eddie have a total of 570. Charlie has 80 more than Sally and Eddie has five times as much as Sally. How much does each of them have? Whose block should we draw first? Have a go at drawing blocks for this problem. How is this problem different to the previous problems?
Using the bar model to solve word problems Charlie, Sally and Eddie have a total of 570. Charlie has 80 more than Sally and Eddie has five times as much as Sally. How much does each of them have? Sally 570 570 80 Charlie Eddie
Using the bar model to solve word problems Anil is 3 times as tall as Bobby. Bobby is 30 cm shorter than Mia. Their total height is 330 cm. How tall is Anil? Whose block should we draw first? Have a go at drawing blocks for this problem.
Using the bar model to solve word problems Anil is 3 times as tall as Bobby. Bobby is 30 cm shorter than Mia. Their total height is 330 cm. How tall is Anil? Bobby 330 cm 330 cm Anil 30 cm Mia
Practice: Work out on whiteboards first, then write in your books 1. Ann has twice as many stamps as Mohammed. Mohammed has three times as many stamps as Claudia. If they have a total of 140 stamps, how many stamps does Ann have? 2. String A is half as long as string B. String B is one third of the length of string C. If the total length of strings A and B is 270 m, how long is string C? 3. Brian, Suha and Kamil pick apples. Suha picks twice as many apples as Brian. Kamil picks nine more apples than Suha. They pick a total of 94 apples. How many apples does Brian pick? 4. Amelia has 540 red, blue and yellow beads. The red beads are twice as many as the blue beads. There are 128 more yellow beads than blue beads. Find the number of yellow beads.
Practice: Work out on whiteboards first, then write in your books 5. Kieran, Jermaine and Jess play football. Kieran has scored 8 more goals than Jess. Jermaine has scored 5 more goals than Kieran. Altogether they have scored 72 goals. How many goals did they each score? 6. Han, Luke and Leia each watch a different film. Han s film is 30 minutes longer than Leia s film. Luke s film is twice as long as Leia s film. Altogether the films last 390 minutes. How long is each of the films? Challenge Challenge Two mangoes, three oranges and a watermelon cost 8.30. A mango costs three times as much as an orange. The orange costs 1.30 less than a watermelon. Find the cost of a watermelon.
Mark your work 1. Ann has twice as many stamps as Mohammed. Mohammed has three times as many stamps as Claudia. If they have a total of 140 stamps, how many stamps does Ann have? 84 2. String A is half as long as string B. String B is one third of the length of string C. If the total length of strings A and B is 270 m, how long is string C? 540 3. Brian, Suha and Kamil pick apples. Suha picks twice as many apples as Brian. Kamil picks nine more apples than Suha. They pick a total of 94 apples. How many apples does Brian pick? 17 4. Amelia has 540 red, blue and yellow beads. The red beads are twice as many as the blue beads. There are 128 more yellow beads than blue beads. Find the number of yellow beads. 231
Mark your work 5. Kieran, Jermaine and Jess play football. Kieran has scored 8 more goals than Jess. Jermaine has scored 5 more goals than Kieran. Altogether they have scored 72 goals. How many goals did they each score? Keiran scored 25, Jess 17 and Jermaine scored 30 goals 5. Han, Luke and Leia each watch a different film. Han s film is 30 minutes longer than Leia s film. Luke s film is twice as long as Leia s film. Altogether the films last 390 minutes. How long is each of the films? Han : 120 mins Leia : 90 mins Luke : 180 mins Challenge Challenge Two mangoes, three oranges and a watermelon cost 8.30. A mango costs three times as much as an orange. The orange costs 1.30 less than a
