9 x 14 9 x 12 Calculate the value of the following: 1 8 × 9 =

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Presentation transcript:

9 x 14 9 x 12 Calculate the value of the following: 1 8 × 9 = Starter: Answer the questions below in your books Calculate the value of the following: 1 8 × 9 = (9 + 7) × 11 = (48 ÷ 3) × (26 – 19) = 8 × (24 ÷ 6) = 20 × 54 = 25 × 248 = 9 x 14 9 x 12

9 x 14 9 x 12 Mark the starter: 1 8 × 9 = 72 (9 + 7) × 11 = 176 Starter: Answer the questions below in your books Mark the starter: 1 8 × 9 = 72 (9 + 7) × 11 = 176 (48 ÷ 3) × (26 – 19) =112 8 × (24 ÷ 6) =32 20 × 54 =1080 25 × 248 =6200 9 x 14 9 x 12

Search for patterns in data Finding a pattern Search for patterns in data Find the sum of each row. Spot a pattern in the sum of each row. Predict the sum of “unknown” rows.

Add up the numbers in each row. Do you notice anything about them Add up the numbers in each row. Do you notice anything about them? Can you spot a pattern in these numbers? Can you use the pattern you spot to predict what row 10 will add up to? What do you think the sum of row 15 would be? What about row 25?

The answers are next…

As you can see from the table, row 10 adds up to 1024. The pattern in these numbers is that the sum of each row is 2r where r is the number of the row. This only works if you say that the first row is row zero. You also need to know that anything to the power of zero is one. As you can see from the table, row 10 adds up to 1024. We can calculate the value of row 15. This is 32,768. The sum of the numbers on row 25 is 33,554,432. Row Total Pattern 1 20 2 21 4 22 3 8 23 16 24 5 32 25 6 64 26 7 128 27 256 28 9 512 29 10 1024 210 11 2048 211