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

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9 x 14 9 x 12 Calculate the value of the following: 1 8 × 12 = Starter: Answer the questions below in your books Calculate the value of the following: 1 8 × 12 = (9 + 7) × 8 = (45 ÷ 3) × (26 – 17) = 7 × (24 ÷ 6) = 20 × 61 = 25 × 243 = 9 x 14 9 x 12

9 x 14 9 x 12 Mark your starter: 1 8 × 12 = 96 (9 + 7) × 8 = 128 Starter: Answer the questions below in your books Mark your starter: 1 8 × 12 = 96 (9 + 7) × 8 = 128 (45 ÷ 3) × (26 – 17) = 135 7 × (24 ÷ 6) = 28 20 × 61 = 1220 25 × 243 = 6075 9 x 14 9 x 12

Finding a pattern Pascal’s Triangle Put together Pascal’s Triangle using cards Calculate Pascal’s Triangle on a piece of paper Start to spot patterns in Pascal’s Triangle

Above, is the start of a pattern of numbers called Pascal’s Triangle Above, is the start of a pattern of numbers called Pascal’s Triangle. It is named after a French mathematician called Blaise Pascal as he was the first person in Europe to study it in any particular detail. You will notice that the 6 and 4 are shaded in light green. The 10 beneath them is shaded in dark green. That is because each number is the sum of the two numbers above it.

Using the numbers provided, see if you can work out the first 11 rows of Pascal’s Triangle. If you finish doing this, see if you can spot any patterns in the numbers running down each of the diagonals of the triangle.

The answers are next…