Unit 2: Problem Solving with Mrs.Campbell Our objective today is: • Identify factor pairs of small two-digit numbers • Use factors as a strategy for mental multiplication. Identify factor pairs 36 What do we call 36? 6x6=36 What are the factors of: 40 24 64 Use factors as a strategy for mental multiplication 4x3x5 How would you work this one out? 15 x 3 x 2 And this one? 2x3x4x5 Ooh, what about this? 17 X 12 Let’s look at this problem lots of ways 17 X 12 17 X 6 X 2 17 x 3 x 2 x 2 = 51 x 2 x 2 = 102 x 2 = 204. Can you use this method to work out the following? 23 x 6 19 x 8 17 x 4 Now try these.. Day 2 • Order a set of positive and negative integers. • Solve simple word problems. • Begin to use brackets. -20 0 +20 -20 0 +20 I have just spent £9. What could I have bought? fish £2 chips £1 Fish 0 1 2 3 4 Chips 9 7 5 3 1 Say a cola cost 50p and pizza £1.50. If I spend £8 what can I buy? • In your pairs I want you to create a similar problem for other pairs to answer. You can have 10 minutes to sort something out • We will discuss the problems and solutions. Can you work out this puzzle fish £2 chips £1 A man goes to the chip shop, and asks for “two fish and chips”. The owner asks for £6, but the man expects the total to be £5. Is it ‘two (fish and chips)’ or ‘(two fish) and chips’ •2 x (£2 + £1) • (2 x £2) + £1. How would you work out this calculation? 6+3–2 6–3+2 What is the answer to these? • (6 + 3) – 2 6 + (3 – 2 ) What is the answer to these? • (6 – 3) + 2 6 – (3 + 2). How is the answer changed? Give me a number between 20 and 50 • Roll a dice 3 times and record the numbers. • Work with your partner to make a calculation using the 3 numbers and brackets to try and reach the target number Here is my one! 30 is my target number I rolled the dice 3 times and got a 6,1 and a 4. These are my calculations: (6 – 1) x 4 (6 x 4) + 1 6 x (4 + 1) (6 + 1) x 4. Reflect Now think about what we have been learning about. Can you apply your learning to these questions? Where could I place the brackets to make the largest number? 4+7x3 4+7+3 4x2x3 4–2x3 What about the smallest number? Teacher Notes • This slide show is intended to be used in close conjunction with the notes. I suggest you print off the notes and familiarise yourself with them before the lesson. Use the notes to guide you through the slides. • Additional problems will be needed for slide 12. Add as appropriate for your children.