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Published byKyle Watchorn Modified about 1 year ago

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Starter

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Use the formula to solve

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What makes the difference?

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The Discriminant

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3 possible outcomes 2 roots 2 ‘zeros’ 2 x-intercepts 1 root, ‘zero’, x-intercept No real roots, ‘zeros’ or x-intercepts

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Time for notes

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Cut out the square and fold each corner to the centre like this

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Write on each of the flaps Glue the shape into your notes

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Under the first flap -------------

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Under the second flap

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Under the 3rd flap -------------

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Under the final flap -------------

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Homework On Moodle – look for the Quadratics topic To be completed on file paper – NOT IN YOUR INDEPENDENT STUDY BOOKS To be named, dated and set out properly Questions and answers Marked in a second colour Comments in a third colour HAND IN DATE – MONDAY 6 th OCTOBER

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Task – match up 2 sheets – one all numbers other algebra Note: If the value of b 2 —4ac is a positive square number then you should be able to factorise the quadratic If the value of b 2 - 4ac is positive but not square then just use the formula and leave surds in your answer to find the roots

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Factorises (with integers)Does not factorise Has one real root (2 identical roots) Graph just touches the x-axis If the quadratic equation has one root then it always factorises Has two real and different roots Graph crosses the x-axis Has no real roots Graph does not touch or cross the x-axis If the quadratic equation has no real roots then it never factorises

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Factorises (with integers)Does not factorise Has one real root (2 identical roots) Graph just touches the x-axis If the quadratic equation has one root then it always factorises Has two real and different roots Graph crosses the x-axis Has no real roots Graph does not touch or cross the x-axis If the quadratic equation has no real roots then it never factorises

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Factorises (with integers)Does not factorise Has one real root (2 identical roots) Graph just touches the x-axis If the quadratic equation has one root then it always factorises Has two real and different roots Graph crosses the x-axis Has no real roots Graph does not touch or cross the x-axis If the quadratic equation has no real roots then it never factorises

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Factorises (with integers)Does not factorise Has one real root (2 identical roots) Graph just touches the x-axis If the quadratic equation has one root then it always factorises Has two real and different roots Graph crosses the x-axis Has no real roots Graph does not touch or cross the x-axis If the quadratic equation has no real roots then it never factorises

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Factorises (with integers)Does not factorise Has one real root (2 identical roots) Graph just touches the x-axis If the quadratic equation has one root then it always factorises Has two real and different roots Graph crosses the x-axis Has no real roots Graph does not touch or cross the x-axis If the quadratic equation has no real roots then it never factorises Can you factorise them?

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Extension Find the possible values of the constant given that the equation has a repeated root. For a repeated root,

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