41 This time I have given you some totals and left you to work out the others! 231524is _is _is _
42 Q. Which of the three totals did you use to help you first? How did this help you?231524is _is _is _
43 Q. Which total did you use next? First you should have worked out that = 6 because 4 x 6 in the last column gives the total 24.Q. Which total did you use next?231524is 6is _is _
44 Q. Which total did you use last? Next you should have worked out that = 5 because on the top row 3x6= =23Q. Which total did you use last?231524is 6is 5is _
45 Last you should have worked out that = 2. In the row totalling 15 you already have = 11.15 – 11 = 4 , there are so each must be worth 2.231524is 6is 5is 2
46 Q. What are the other totals? 20What strategies will you use?1812is _is _is _
47 You should have found these answers. 1523201820212312is 3is 6is 7
48 Q. Does it matter which three totals you are given? is _is _is _
49 Work in pairs to choose your own number for each shape Work in pairs to choose your own number for each shape. Find the 8 totals.Then give 3 totals to another pair for them to find the missing totals.is _is _is _
50 Q. So, does it matter which three totals you are given? Are there any awkward ones?is _is _is _
51 You will do ACTIVITY Sheet 6b1 for HOMEWORKthis week but we will lookat the first grid now.WARNINGYou may find you need to change yourstrategy when you do the last 2 grids.
100 ½ the shapes are squares Now I shall give you the fractions but not the total number of shapes:½ the shapes are squares½ the shapes are circles.Two squares are replaced with two circles so now1/3 of the shapes are squares and2/3 of the shapes are circles.Q. How many shapes did we start with?2 minutes
101 What answers do you have? What strategies did you use?
102 Q. If 1/3 of the total number of shapes were squares what multiplication table will the total number of shapes be in?
103 Q. If 1/3 of the total number of shapes were squares what multiplication table will the total number of shapes be in?It must be in the 3x table.
104 Let’s fill in the table Total 1/3 Squares 2/3 Circles 3 6 9 12 15 18 21Let’s fill in the table
105 Total1/3 Squares2/3 Circles3691215182112345672468101214Q. As we have replaced two squares with two circles what would the original number of squares and circles be?
106 Let’s work it out. To answer this we need to add 2 more columns. Total 1/3 Squares2/3 Circles+2squares-2 circles3691215182112345672468101214Let’s work it out.
107 Q. When were half the shapes squares and half circles? Total1/3 Squares2/3 Circles+2squares-2 circles3691215182112345672468101214345678924681012Q. When were half the shapes squares and half circles?
108 The only time this happens is when there are 12 shapes. Total1/3 Squares2/3 Circles+2squares-2 circles3691215182112345672468101214345678924681012The only time this happens is when there are 12 shapes.
109 1/3 of the shapes are squares, 2/3 of the shapes are circles. Try these: use the grid to help you.Q1.1/3 of the shapes are squares, 2/3 of the shapes are circles.Three circles are replaced with three squares.Now ½ the shapes are squares, ½ the shapes are circles.How many squares and circles did we start with?Q2.1/4 of the shapes are squares, 3/4 of the shapes are circles.One circle is replaced by one square.Now 1/3 the shapes are squares, 2/3 the shapes are circles.How many squares and circles did we start with?
154 L.O.2To be able to solve problems and puzzles, recognise and explain patterns, relationships and reasoning.
155 Large batteries cost £1:60 Medium batteries cost £1:10Q.1 What would ten large batteries cost?Q.2 What would six medium batteries cost?Q.3 How many medium batteries could you buy for £10Q.4 How many large batteries could you buy for £10Q.5 How much change would you get in Q Q.4?
156 Answers are:1. £162. £6:60batteries with 10p. changebatteries with 40p. changep.
157 A farmer bought batteries with a £20 note. Q. How many of each size could the farmer buy?1 minute
158 18 medium batteries. He could have bought up to 12 large batteries or up to18 medium batteries.
159 many batteries did the farmer buy? If he spent exactly £20 howmany batteries did the farmer buy?2 minutes in pairs
160 Would it help if weused a list or a chartor a table?
161 Complete the table with your partner and use it to solve the problem. This may help:Medium12345678910Cost£1.10Large£1.60Complete the table with your partner and use it to solve the problem.
162 Q. What answers did you get? 8 medium + 7 large batteries is an answer.
163 This is the completed table Medium12345678910Cost£1.10£2.20£3.30£4.40£5.50£6.60£7.70£8.80£9.90£11Large£1.60£3.20£4.80£6.40£8.00£9.60£11.20£12.80£14.40£16This is the completed table
164 Work with a partner to find the answer. Small batteries cost 70p.Q. How many small and medium batteriescould we buy for exactly £5Work with a partner to find the answer.Would it help if you added two extra rows to the table?
165 Extra rows Medium 1 2 3 4 5 6 7 8 9 10 Cost Large Small £1.10 £2.20 £3.30£4.40£5.50£6.60£7.70£8.80£9.90£11Large£1.60£3.20£4.80£6.40£8.00£9.60£11.20£12.80£14.40£16Small£0.70Extra rows
166 Medium 1 2 3 4 5 6 7 8 9 10 Cost Large Small £1.10 £2.20 £3.30 £4.40 £5.50£6.60£7.70£8.80£9.90£11Large£1.60£3.20£4.80£6.40£8.00£9.60£11.20£12.80£14.40£16Small£0.70£1.40£2.10£2.80£3.50£4.20£4.90£5.60£6.30£7
168 Q. How many small and large batteries could we buy for exactly £9? Q. How many small, medium and large batteriescould we buy for exactly £8?For extension work try these:How many small + large for £11; £12 ; £14 ?How many medium + large for £7 ; £14 ; £20 ?How many small + medium for £10 ; £13 ; £14 ?How many small + medium + large for £11 ; £15 ?
169 Now do question 3 onSelf-assessment sheet 6b 1.
170 Now that you have finished the questions on the Self-assessment sheet think about what we have learned this week in maths and decide on what you would like to get better at.Write it as your target at the bottom of the sheet.
171 By the end of the lesson the children should be able to: Solve puzzles and problems involving money and listsExplain methods and reasoning