Quadratic Equations – Mixed – Card Match In this activity students work individually or in groups to match questions and answers. Instead of cutting out cards, students can letter questions and answers that go together.

Printing To print handouts from slides - Select the slide from the left. Then click: File > Print > ‘Print Current Slide’ To print multiple slides - Click on a section title to highlight all those slides, or press ‘Ctrl’ at the same time as selecting slides to highlight more than one. Then click: File > Print > ‘Print Selection’ To print double-sided handouts - Highlight both slides before using ‘Print Selection’. Choose ‘Print on Both Sides’ and ‘Flip on Short Edge’.

𝑥2+7𝑥+1=0 𝑥2+8𝑥+4=0 𝑥2−𝑥−12=0 4𝑥2−7=0 3𝑥2+3𝑥−4=0 𝑥2+6𝑥−2=0 2𝑥2+8𝑥+6=0 Rearrange & Quadratic Formula 𝑥 =4 or 𝑥 =−3 𝑥2+8𝑥+4=0 Completing the Square 𝑥 =0.76 𝑥 =−1.76 𝑥2−𝑥−12=0 Factorisation 𝑥 =0.32 𝑥 =−6.32 4𝑥2−7=0 𝑥 =0 𝑥 =−2 3𝑥2+3𝑥−4=0 𝑥 =−4 𝑥 =2 𝑥2+6𝑥−2=0 𝑥 =−0.15 𝑥 =−6.85 2𝑥2+8𝑥+6=0 Rearrange 𝑥 =−0.59 𝑥 =−3.41 3𝑥2+6𝑥=0 𝑥 =1.32 𝑥 =−1.32 5𝑥2−9𝑥=−3 & Factorisation 𝑥 =−1 𝑥2+4𝑥=−2 𝑥 =1.36 𝑥 =0.44 𝑥2+2𝑥=8 𝑥 =−0.54 𝑥 =−7.46

Solving Quadratic Equations Checklist Does it need rearranging? 𝑥2+8𝑥+4=0 2𝑥2−7=0 𝑥2−𝑥−12=0 Solving Quadratic Equations Checklist Does it need rearranging? Rearrange to find a, b & c Does b = 0 ? Rearrange to solve Does c = 0 ? Factorise into a single bracket Can you factorise quickly? (with or without coefficients) Factorise into double brackets. Does b half? Complete the square Quadratic Formula 𝑥= −𝑏± 𝑏 2 −4𝑎𝑐 2𝑎

Half Answers 𝑥2+7𝑥+1=0 𝑥2+8𝑥+4=0 𝑥2−𝑥−12=0 4𝑥2−7=0 3𝑥2+3𝑥−4=0 Quadratic Formula 𝑥 =−0.15 or 𝑥 =−6.85 𝑥2+8𝑥+4=0 Completing the Square 𝑥 =−0.54 𝑥 =−7.46 𝑥2−𝑥−12=0 Factorisation 𝑥 =4 𝑥 =−3 4𝑥2−7=0 Rearrange 𝑥 =1.32 𝑥 =−1.32 3𝑥2+3𝑥−4=0 𝑥 =0.76 𝑥 =−1.76 𝑥2+6𝑥−2=0 2𝑥2+8𝑥+6=0 3𝑥2+6𝑥=0 5𝑥2−9𝑥=−3 𝑥2+4𝑥=−2 𝑥2+2𝑥=8 Half Answers

Answers 𝑥2+7𝑥+1=0 𝑥2+8𝑥+4=0 𝑥2−𝑥−12=0 4𝑥2−7=0 3𝑥2+3𝑥−4=0 𝑥2+6𝑥−2=0 Quadratic Formula 𝑥 =−0.15 or 𝑥 =−6.85 𝑥2+8𝑥+4=0 Completing the Square 𝑥 =−0.54 𝑥 =−7.46 𝑥2−𝑥−12=0 Factorisation 𝑥 =4 𝑥 =−3 4𝑥2−7=0 Rearrange 𝑥 =1.32 𝑥 =−1.32 3𝑥2+3𝑥−4=0 𝑥 =0.76 𝑥 =−1.76 𝑥2+6𝑥−2=0 𝑥 =0.32 𝑥 =−6.32 2𝑥2+8𝑥+6=0 𝑥 =−1 3𝑥2+6𝑥=0 𝑥 =0 𝑥 =−2 5𝑥2−9𝑥=−3 Rearrange & 𝑥 =1.36 𝑥 =0.44 𝑥2+4𝑥=−2 𝑥 =−0.59 𝑥 =−3.41 𝑥2+2𝑥=8 & Factorisation 𝑥 =−4 𝑥 =2 Answers

𝑥2+7𝑥+1=0 𝑥2+8𝑥+4=0 𝑥2−𝑥−12=0 4𝑥2−7=0 3𝑥2+3𝑥−4=0 𝑥2+6𝑥−2=0 2𝑥2+8𝑥+6=0 Rearrange & Quadratic Formula 𝑥 =4 or 𝑥 =−3 𝑥2+8𝑥+4=0 Completing the Square 𝑥 =0.76 𝑥 =−1.76 𝑥2−𝑥−12=0 Factorisation 𝑥 =0.32 𝑥 =−6.32 4𝑥2−7=0 𝑥 =0 𝑥 =−2 3𝑥2+3𝑥−4=0 𝑥 =−4 𝑥 =2 𝑥2+6𝑥−2=0 𝑥 =−0.15 𝑥 =−6.85 2𝑥2+8𝑥+6=0 Rearrange 𝑥 =−0.59 𝑥 =−3.41 3𝑥2+6𝑥=0 𝑥 =1.32 𝑥 =−1.32 5𝑥2−9𝑥=−3 & Factorisation 𝑥 =−1 𝑥2+4𝑥=−2 𝑥 =1.36 𝑥 =0.44 𝑥2+2𝑥=8 𝑥 =−0.54 𝑥 =−7.46 𝑥2+7𝑥+1=0 Rearrange & Quadratic Formula 𝑥 =4 or 𝑥 =−3 𝑥2+8𝑥+4=0 Completing the Square 𝑥 =0.76 𝑥 =−1.76 𝑥2−𝑥−12=0 Factorisation 𝑥 =0.32 𝑥 =−6.32 4𝑥2−7=0 𝑥 =0 𝑥 =−2 3𝑥2+3𝑥−4=0 𝑥 =−4 𝑥 =2 𝑥2+6𝑥−2=0 𝑥 =−0.15 𝑥 =−6.85 2𝑥2+8𝑥+6=0 Rearrange 𝑥 =−0.59 𝑥 =−3.41 3𝑥2+6𝑥=0 𝑥 =1.32 𝑥 =−1.32 5𝑥2−9𝑥=−3 & Factorisation 𝑥 =−1 𝑥2+4𝑥=−2 𝑥 =1.36 𝑥 =0.44 𝑥2+2𝑥=8 𝑥 =−0.54 𝑥 =−7.46

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