# Reciprocal Teaching in Maths works well with word problems

Mixed word problems

- There are 305 children at St Luke’s School. 167 of them are girls. How many are boys?
- Charlie saves $3.20 in December and $1.95 in January. How much money does he have in total?
- There are 9 shelves of cereals in the supermarket. Each shelf has 120 packets of cereal on it. How many packs of cereal is this altogether?
- Jade’s mum buys a pack of 6 kiwi fruit. They cost 90cents. How much does each kiwi fruit cost?
- A machine makes nails. Between 9am and 10am it makes 1230 nails. Between 10am and 11am it makes 1267 nails. What is the total number of nails it makes between 9am and 11am?
- Mr Daw gives each child in his class 18 stickers during January. If there are 30 children in Mr Daw’s class, how many stickers has Mr Daw given out?
- Katie spends $3.65 on some magazines. If she had $8 to start with, how much does she have left?
- Mrs Sherwood puts sweets into bags before the disco. If she puts 12 sweets into each bag, how many bags will be needed to take 180 sweets?
- Mr Daw shows limited willpower and eats 17 biscuits every day in January. (Mrs Mole eats the rest.) How many biscuits will Mr Daw have eaten by the end of January?
- Being healthy, Mrs Wollington buys a 2-litre bottle of olive oil. She uses 567ml. How much does she have left in the bottle?

Mixed word problems

- A theatre holds 1060 people. If 389 seats remain unsold on one evening, how many seats have been sold?

- The school spends $186.20 on fresh fruit during January. In February, it spends $188.89. How much has been spent on fruit in total during these two months?
- A car salesroom sells 12 cars for $9,800 each. How much money have they taken altogether?
- Jade’s mum buys a pack of 6 kiwi fruit. They cost $1.32. How much does each kiwi fruit cost?
- What is the product of 19 and 3.6?
- Mr Daw gives each child in his class 18 stickers during January. If there are 29 children in Mr Daw’s class, how many stickers has Mr Daw given out?
- Katie spends $1.29 on a magazine and $8.95 on a CD. If she had $12.50 to start with, how much does she have left?
- Mrs Sherwood puts sweets into bags before the disco. If she puts 14 sweets into each bag, how many bags will be needed to take 196 sweets?
- Mr Daw shows limited willpower and eats 17 biscuits every day in 2009. (Mrs Mole eats the rest.) How many biscuits will Mr Daw have eaten by the end of the year?
- Being healthy, Mrs Wollington buys a 2-litre bottle of olive oil. She uses 567ml in one week, then 533 the next week. How much does she have left in the bottle by the end of the second week?

Mixed word problems

- A theatre sells 467 tickets for a matinee performance. A school group then books a further 118 tickets. If the theatre holds 1060 people, how many places are left unsold?

- The school buys 820 new books, which are put onto new bookshelves. If there are 34 books on each shelf, how many shelves must Mr Baldwin put up?
- A car salesroom has a sales target of $150,000. They sell 12 cars for $9,800 each. How many more cars do they need to sell to meet their target?
- Jade’s mum buys a pack of 8 kiwi fruit for $1.92. Individual kiwi fruit cost 30 cents each. How much cheaper is each kiwi fruit by buying in a pack?
- What is the difference between the product of 19 and 3.6, and the sum of 2.87 and 3.5?
- Mr Daw gives each child in his class 18 stickers during January. If there are 29 children in Mr Daw’s class, and Mr Daw had a pack of 1000 stickers to start with, how many stickers has Mr Daw left at the end of January?
- Katie buys two magazines for $1.29 each and spends $8.95 on a CD. If she had $12.50 to start with, how much does she have left?
- Pencils cost 72 cents for a pack of 12. In one year, the school has to buy 1440 pencils. How much do they cost altogether?
- Mr Daw shows limited willpower and eats 17 biscuits every day in 2009, except for Christmas Day when he eats 28. How many biscuits will Mr Daw have eaten by the end of the year?
- Being healthy, Mrs Wollington buys a 2.5 litre bottle of olive oil. She uses 567ml in one week, then 0.65 litres the next week. How much does she have left in the bottle by the end of the second week?

**Bailey has to solve 125 Math problems. She solved 46 problems yesterday and 53 problems today. How many problems yet to solve?**

**Emily bought 42 tomatoes and out of them 27 was rotten. Find the number of good ones.****Cooper had $126 in his savings. He has $78 after spending for a video game. Find the amount left in his savings.****In a garden, there are twenty-two guavas, eleven pine apples and fourteen bananas. Find the total number of fruits in the garden.****Edward Schools arranges for a camp. There are 39 girls and 43 boys in the camp. Find the total number of students in the camp.****Andrew counted the number of visitors in his shop. There are 134 males 123 females. Find the total number of visitors in the shop.**

Predicting

- What is this question about?
- Type of operations might we need to use?
- What might the answer look like?

Clarifying

- What words are we unfamiliar with?
- Highlight / underline important words.
- What operation would be used?
- Visualizing
- Can we draw a picture, diagram, table, or other representation to help solve the problem?
**Solving**- Students individually develop a solution using a problem solving strategy of their choice.
- Show all working – Re-read the problem and check for reasonableness of their answers. (Reversibility)Summarizing
- Explain the problem solving strategy you used.
- What is the best strategy?
- Reflect on group’s participation – What worked well? What could be improved?