Do Now – starter activities

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Presentation transcript:

Do Now – starter activities Word problems using bar models

Rope problem Tim had a rope that was 11 metres long. He cut it into 3 pieces. The first piece is 2.5 m longer than the second piece. The third piece is 1 m longer than the second piece. How long is the third piece of rope?

Answer Tim had a rope that was 11 metres long. He cut it into 3 pieces. The first piece is 2.5 m longer than the second piece. The third piece is 1 m longer than the second piece. How long is the third piece of rope? 1 m 2.5 m 11 − (2.5 + 1) = 7.5 1st piece 2.5 m 7.5 ÷ 3 = 2.5 2nd piece 2.5 m 3rd piece 2.5 m The 3rd piece of rope: 2.5 + 1 = 3.5 m

Rope 2 Tom had a rope that was 23 metres long. He cut it into 3 pieces. The first piece is 4.87 m longer than the second piece. The third piece is 1.99 m longer than the second piece. How long is the third piece of rope?

Answer Tim had a rope that was 23 metres long. He cut it into 3 pieces. The first piece is 4.87 m longer than the second piece. The third piece is 1.99 m longer than the second piece. How long is the third piece of rope? 1.99 m 4.87 m 23 − (4.87 + 1.99) = 16.14 1st piece 5.38 m 16.14 ÷ 3 = 5.38 2nd piece 5.38 m 3rd piece 5.38 m The 3rd piece of rope: 5.38 + 1.99 = 7.37 m

Cake and coffee The price of one slice of cake and one cup of coffee is £3.55. The price of two slices of cakes and one cup of coffee is £6.25. Work out the cost of one coffee. Explain how you found your answer.

Answer The price of one slice of cake and one cup of coffee is £3.55. The price of two slices of cakes and one cup of coffee is £6.25. Work out the cost of one coffee. Explain how you found your answer. £3.55 1 cake: £6.25 − £3.55 = £2.70 £2.70 Cake Cake £0.85 Coffee £6.25 Cake £2.70 Cake £2.70 Coffee £0.85 1 coffee: £3.55 − £2.70 = 85 pence

Number problem The sum of three numbers is 96. The largest number is 3 times as large as the smallest number. The middle number is twice as large as the smallest number. Find the value of the largest number. (Hint: draw a bar model to help you solve this problem)

Answer The sum of three numbers is 96. The largest number is 3 times as large as the smallest number. The middle number is twice as large as the smallest number. Find the value of the largest number. 1st number 96 2nd number 3rd number Smallest number: 96 ÷ 6 = 16 Largest number: 16 × 3 = 48 or 96 ÷ 2 = 48

Number of boys? There are a total of 28 children in a group. There are 6 more girls than boys. How many boys are there in the group?

Answer There are a total of 28 children in a group. There are 6 more girls than boys. How many boys are there in the group? 11 Boys 28 − 6 = 22 6 28 22 22 ÷ 2 = 11 11 Girls 11 boys in the group

Do Now There are a total of 28 children in a group. There are 14 more girls than boys. How many boys are there in the group?

Answer There are a total of 28 children in a group. There are 14 more girls than boys. How many boys are there in the group? 7 Boys 28 − 14 = 14 14 14 28 14 ÷ 2 = 7 7 Girls 7 boys in the group

Mum is 28 years older than Charlotte. Mum is 4 years younger than Dad Mum is 28 years older than Charlotte. Mum is 4 years younger than Dad. Their total age 84 years. What is Mum’s age?

Scott bought two cinema tickets and one bag of chocolates Scott bought two cinema tickets and one bag of chocolates. The total cost was £30. Ann bought one cinema tickets and three bags of chocolates. The total cost was £35. What is the cost of one cinema ticket?