𝒂+𝒃 𝒄 𝟐 𝟏+ 𝟑 Surds Multiplication

Surds – Multiplication KUS objectives BAT simplify and rationalise surds BAT solve equations using the rules for indices and surds Starter: 𝟏𝟑 𝟏𝟑 𝟑 𝟏𝟐 𝟕 𝟏𝟒 𝟑 𝟏𝟓 𝟑 𝟑 𝟐 𝟐 𝟑 × 𝟑

Challenge F Grids Fill in the missing numbers in these multiplication squares Extra challenge – make up your own question × 𝟏𝟎 𝟔 𝟖 × 𝟗 𝟐 𝟑 2 𝟑 3 𝟑 × 𝟔 𝟑 12 𝟕 × 𝟔 𝟒𝟖 𝟑𝟎 𝟕𝟐 45 × 𝟑 𝟔 𝟐 𝟖 𝟔 𝟑 × 2 𝟓 𝟔𝟎 10 4 𝟔

2 -3 4 + 3 Area = (2 - 3) (4 + 3) Area = 8 + 23 - 4√3 - 3 3 WB 26a Multiplication Example work out the area of the rectangle give an exact simplified answer 2 -3 4 + 3 Area = (2 - 3) (4 + 3) Area = 8 + 23 - 4√3 - 3 3 Use FOIL or a grid method Area = 8 - 23 - 3 Area = 5 - 23

WB26b Work out the Area of these rectangles 3 +2 2 + 3 1 + 2 1 +23 3 + 27 1 - 6 5 - 37 3 - 6

Practice Pair up and do these questions Check answers with a calculator

3 (3 + 1) (3 + 2) (3 + 1) 23 (3 + 4) 7 x 5 7 Practice 1 3 (3 + 1) (3 + 2) (3 + 1) 23 (3 + 4) 7 x 5 7 (4 + 7) (2 + 7 ) 57 (3 + 27 ) 5 x 35 (5 – 1) (5 + 1) (5 + 2) (25 + 1) 3 (3 - 5) (3 + 4) (3 - 5) (3 + 6) (3 - 6) 7 (6+ 7 ) (2 + 7) (8 - 7 ) (27- 3) (47 + 2) 5 (25 + 1) (5 – 4) (5 - 3) (35 + 2) (35 - 2)

A piece of rectangular card has a hole cut in it as shown WB 27 Area examQ A piece of rectangular card has a hole cut in it as shown a) Find the area of the large rectangle b) Find the area of the hole c) Express the area of the card that is left as a percentage of the area of the rectangle [4]

WB28 examQ A corner pice of a design has cross section ABC in the shape of a right angled triangle as shown k is a positive integer [5] Find the value of k

One thing to improve is – KUS objectives BAT simplify and rationalise surds BAT solve equations using the rules for indices and surds self-assess One thing learned is – One thing to improve is –

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TRIPODS: CHALLENGE X