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Examples of Oral and Mental Starters. Think of a number. Think of an integer between 1 and 9. Multiply by 2. Add 5. Multiply by 50. Add 1753 if your birthday has passed... Add 1752 if your birthday hasn’t . Subtract your year of birth. ‘Multiplication makes bigger’.
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Think of a number... • Think of an integer between 1 and 9. • Multiply by 2. • Add 5. • Multiply by 50. • Add 1753 if your birthday has passed... • Add 1752 if your birthday hasn’t . • Subtract your year of birth.
‘Multiplication makes bigger’ Discuss the truth of the statement; ‘Multiplication makes bigger’. Is it always, sometimes or never true?
100% = 24 marks = = = = = = = = = = = = = = = Problem solving… “What is one mark worth as a percentage?”
Tables in code… G x C = BG J x C = AF H x C = JD I x C = DG B x C = C C x C = AC E x C = DE A x C = BE D x C = GD Each letter stands for the same number every time it appears. The table is not written out in order from 1x up to 9x. Which times table is this? What number does each letter represent?
Target boards How many ways can you find to make 3?
Complete the FDP Wall
Think carefully about these What could come next? Tell your partner and justify your choice. M, T, W, T, F, . . . 3, 3, 5, 4, . . . 1, 1, 2, 3, . . . 1, 5, 25, 125,
How well can you estimate? - Game 13.34 54 121.6 64 49 63.7 39 2584 3111 61 1349 6.7 31 3136 3.8 2499
2.3 × 5.8 32 × 3.8 71 × 19 6.5 × 9.8 38 × 68 51 × 61 49 × 51 49 × 64 How well can you estimate? These are the calculations 371.2 ÷ 5.8 5130 ÷ 95 1421 ÷ 29 2769 ÷ 71 44.89 ÷ 6.7 1769 ÷ 29 345.8 ÷ 91 2511 ÷ 81
a+2b+c 8 1 10 4 3 5 7 2 3b-2c 1 9 2 3 5 0 4 6 Algebra grid Let a = 1, b = 2, c = 3. Complete the grid below with algebraic expressions that give the values in the top grid. Possible Extensions: Use all 3 letters in each term. Use different values; eg d = 4, e = 8, f = 3. At least 5 must include division
Addition squares in number and algebra – Simplifying & collecting.. 2c + 3d 8c - 2d 4c + 5d 3c + d + 1. 6c + 8d 12c + 3d 5c + 4d 11c - d 5p - 8q p - 7q + 2. 3p + 4q 4p - 3q 3q - 5p 2q - p 8p - 4q 10q - 6p
Addition squares in number and algebra – How many solutions? 3. 3a + 5b 5a + 3b 2a + 7b 4a + 5b 3a + 5b - x 5a + 3b - x + x x - a + 2b
Perimeters The perimeter of a triangle is 48 cm. The length of the shortest side is x cm and the length of one of the other sides is 2x cm. Prove that 8 < x < 12.
Washing Up Give a plausible explanation for the shape of this graph.
Probing questions – a starting point • How do you know…? What do you look for? • How do you go about …? • What clues do you use when…? • Make up some question that… • Give me a … that is the same as … How did you do it? • Present a statement and ask:- Is it always true?- Why is it false?