Functions – Composite – Substitution – Bingo Method Students should choose nine answers from the grid and place them randomly into a 3x3 square in their book. You may want to pause your display and choose questions according to difficulty during the game. Depending on time, students could win with a line, an X, or a ‘full house’ (all).

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Substituting into Composite Functions BINGO! 45 54 23 82 37 12 76 25 91 Substituting into Composite Functions

Choose your numbers… 11 4 20 9 3 65 2 31 36 8 2.5 1 10 14 -4 -6 Draw a 3x3 grid in your book.

ℎ 𝑥 =𝑥+2 𝑓 𝑥 =2𝑥−5 𝑓 2 =−1 ℎ −1 =1 f first ℎ𝑓 2 = 1

𝑡 𝑥 =2𝑥−4 𝑘 𝑥 =3𝑥+3 𝑡 3 =2 𝑘 2 =9 t first 𝑘𝑡 3 = 9

𝑤 𝑥 =𝑥−3 𝑔 𝑥 =4𝑥−2 𝑔 4 =14 𝑤 14 =11 g first 𝑤𝑔 4 = 11

ℎ 𝑥 =𝑥−4 𝑔 𝑥 = 𝑥−3 2 𝑔 −1 =−2 ℎ −2 =−6 g first ℎ𝑔 −1 = −6

𝑘 𝑥 =2𝑥+4 𝑘 2 =8 𝑘 8 =20 𝑘𝑘 2 = 20

𝑑 𝑥 =3(𝑥−1) 𝑔 𝑥 =𝑥−6 𝑑 4 =9 𝑔 9 =3 d first 𝑔𝑑 4 = 3

𝑝 𝑥 =2𝑥−4 𝑡 𝑥 =2(𝑥−4) 𝑝 6 =8 𝑡 8 =8 p first 𝑡𝑝 6 = 8

𝑐 𝑥 =5𝑥−6 𝑐 2 =4 𝑐 4 =14 𝑐𝑐 2 = 14

𝑘 𝑥 =3𝑥+5 𝑔 𝑥 = 𝑥−2 3 𝑘 3 =14 𝑔 14 =4 k first 𝑔𝑘 3 = 4

𝑡 𝑥 =3(𝑥+4) 𝑓 𝑥 =4𝑥−5 𝑡 −1 =9 𝑓 9 =31 t first 𝑓𝑡 −1 = 31

ℎ 𝑥 = 𝑥−3 2 𝑖 𝑥 =4𝑥−10 ℎ 9 =3 𝑖 3 =2 h first 𝑖ℎ 9 = 2

𝑤 𝑥 =2(𝑥+3) 𝑟 𝑥 =3(𝑥−5) 𝑟 10 =15 𝑤 15 =36 r first 𝑤𝑟 10 = 36

𝑘 𝑥 = 1 2 𝑥−4 𝑓 𝑥 = 1 2 𝑥−4 𝑓 8 =0 𝑘 0 =−4 f first 𝑘𝑓 8 = −4

𝑑 𝑥 = 𝑥−7 2 𝑡 𝑥 =2𝑥+6 𝑡 3 =12 𝑑 12 =2.5 t first 𝑑𝑡 3 = 2.5

𝑏 𝑥 =4𝑥−6 𝑑 𝑥 =𝑥+7 𝑑 −3 =4 𝑏 4 =10 d first 𝑏𝑑 −3 = 10

𝑔 𝑥 =4𝑥−3 𝑔 2 =5 𝑔 5 =17 𝑔 17 =65 𝑔𝑔𝑔 2 = 65

tom@goteachmaths.co.uk Questions? Comments? Suggestions? …or have you found a mistake!? Any feedback would be appreciated . Please feel free to email: tom@goteachmaths.co.uk