A lesson to solve mathematical problems Problem solving 14/11/2018 Core: will be able to work as part of a team and understand mathematical terminology. Challenge: yourself to work strategically Aspire: to show understanding of a wide range of terminology and mathematical concepts Vivo Star: Display a high level of mathematical ability and quick thinking to solve problems efficiently. Keywords: Team work, strategy……. Various terminology A lesson to solve mathematical problems LO: To work on your problem solving skills

Maths at Workington academy M A T H S MIXED STARTER A warm up activity to see what you already know M A T H S ACQUIRE FLUENCY An opportunity to practice a key skill you will need M A T H S TALK ABOUT IT Where you will discover a new mathematical skill A lesson to solve mathematical problems M A T H S HAVE A GO Where you practice the new skill and earn rewards M A T H S SUM IT UP Where you assess your understanding of the topic LO: To work on your problem solving skills

A lesson to solve mathematical problems Core skills M A T H S MIXED STARTER 1) 5 5 . 1 - 2 3 . 5 2) 7 6 7 + 3 4 9 1) Seventeen out of twenty pupils said they eat pizza. What angle would show this on a pie chart? A lesson to solve mathematical problems 2) Work out the answers to each of these: Jenny and Mark share some money in the ratio two to five. Jenny’s share is one hundred and ten pounds. How much is Mark’s share? (a) -6 + -5 (d) 12 x 18 (b) 9 - -7 (e) 31 x 39 (c) -4 + 9 (f) 53 x 57 LO: To work on your problem solving skills

The pyramid of maths M A T H S ACQUIRE FLUENCY The sum of three different prime numbers is 40. What is the difference between the two biggest of these numbers? N 1,37 Factors of 37 1,11, 121 Factors of 121 1,3, 5, 15 Factors of 15 Explain what 37 can be categorised as given this results A lesson to solve mathematical problems 1, 8, 27, 64, 125, The first 5 cube numbers Give the first 6 powers of 2 2, 4, 8, 16, 32, 64 1, 4, 9, 16, 25, 36, 49 The first 7 square numbers 4, 8, 12, 16, 20, 24, 28, 32 The first 8 multiples of 4 LO: To work on your problem solving skills

A lesson to solve mathematical problems The task for today M A T H S TALK ABOUT IT You are going to work in groups of 3 or 4 There are 20 questions You must work as a team A tie breaker is available! A lesson to solve mathematical problems LO: To work on your problem solving skills

A lesson to solve mathematical problems The challenge for today M A T H S HAVE A GO 1 Find the sum of all the prime numbers less than 20. 2 When walking in the park I saw a number of dogs and their owners. There were 13 bodies and 44 legs. (All had the usual number of legs.) How many dogs were there? 3 The sequence 20, 21, 7, . . is formed using the rule “If the last number is a multiple of 3 then divide by 3. If not, add 1”. Complete the sequence until you reach 1, writing all the numbers in the sequence. A lesson to solve mathematical problems 77 9 8, 9, 3, 1 42 minutes 4 A teacher spends 4 hours doing her marking one evening. She spends half the time marking arithmetic, one fifth marking algebra and one eighth marking geometry. The only thing left to mark is probability. How many minutes does that take? LO: To work on your problem solving skills

A lesson to solve mathematical problems The challenge for today M A T H S HAVE A GO Two ordinary fair dice are rolled. The score is calculated by multiplying the difference of the numbers by their sum. What is the highest possible score? 5 A machine makes a thousand widgets. George removes three eighths of the total and Harry takes 24% of it. How many widgets are left? 6 A lesson to solve mathematical problems 7 When 49 litres of water escape from my pond, the amount of water in the pond is reduced by 35%. What is the volume of water left in the pond? 5) 35 6) 385 7) 91 litres 8) £4.13 I buy 3 CD’s at £5.29 each and pay with a £20 note. How much change should I get? 8 LO: To work on your problem solving skills

A lesson to solve mathematical problems The challenge for today M A T H S HAVE A GO 9 What is the smallest number of coins needed to make up the amount of change in question 8? 10 What is of 1 3 of 45 + 1 5 of 55 + 1 13 of 65? In a class of 30 pupils, 20 pupils like rock music, 15 like rap music, including 10 who like both. How many do not like either rock or rap music? 11 A lesson to solve mathematical problems 9) 5 10) 31 11) 5 12) 14 12 What is 20% of 20% of 350? LO: To work on your problem solving skills

A lesson to solve mathematical problems The challenge for today M A T H S HAVE A GO 13 A train arrives in York at 15:05 after a journey of 2 hours 15 minutes from London. At what time did the train leave London? 14 3 choc boxes and 2 drinks cost £3.40 while 2 choc boxes and 3 drinks cost £3.10. How much will 1 choc box and 1 drink cost? A lesson to solve mathematical problems 15 I have to run 1500 metres in 10 minutes for my gold award. I run at an average of 3m/s. By how many seconds do I succeed or fail in my quest for a gold award? 13) 12:50 £1.30 Succeed by 100 seconds 630 16 What is the sum of all the square numbers greater than 100 but less than 200? LO: To work on your problem solving skills

A lesson to solve mathematical problems The challenge for today M A T H S HAVE A GO 17 We know that 11 2 is 121. What is the value of 111 2 ? 18 What 2-digit number is both a square number and a cube number? 19 It takes 7.5 hours to fly to New York. The return flight takes 90% of the outward flight time. How long is the return flight? A lesson to solve mathematical problems 20 A computer priced at £325 has its price increased by 25%. A month later it is reduced by 20% in the sale. What is the sale price? 17) 12321 18) 64 19) 405 minutes 20) £325 LO: To work on your problem solving skills

A lesson to solve mathematical problems Scores and tie breaker M A T H S SUM IT UP How have you done? Beginner Good Excellent Genius Death Q club Tie Break Use the numbers 50, 2, 3, 4, 7 and 8 to make 468 3 7 A lesson to solve mathematical problems 11 15 N LO: To work on your problem solving skills