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Quadratics

quadratic equations

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Quadratics

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  1. Starter: Multiplication Grids 310 times 24: 310 x 24 =6000+200+1200+40 =7440 DECK GRASS GRASS POOL

  2. The Quadratic Format Z ax2 + bx + c The constant A number on its own The coefficient of x2 The coefficient of x How many lots of x2 there are How many lots of xthere are a, b & c can be zero, positive numbers or negative numbers

  3. Factorising Quadratics Z We are going to start with a = 1, so we have: • = (x±?)(x±?) x2 + bx + c (x±?) x2 Part of bx* DECK GRASS (x±?) Part of bx* c GRASS POOL * Add the two parts together to make bx

  4. Factorising Quadratics Z Looking at an example: x2 + 4x + 3 = (x )(x ) Steps: Create the Pool Check if the Grass fits If not, find alternative sizes for the pool & repeat DECK x2 GRASS Part of bx* GRASS Part of bx* c POOL

  5. Factorising Quadratics Z Including negatives: x2 – 4x + 3 = (x )(x ) Steps: Create the Pool Check if the Grass fits If not, find alternative sizes for the pool & repeat DECK x2 GRASS Part of bx* GRASS Part of bx* c POOL

  6. Factorising Quadratics Z Sometimes you will have lots of options for the pool: x2 + 2x – 8 = (x )(x ) Steps: Create the Pool Check if the Grass fits If not, find alternative sizes for the pool & repeat x2 DECK GRASS Part of bx* GRASS Part of bx* c POOL

  7. Your Turn Z 1. x2 + 5x + 6 = (x )(x ) 2. t2 + 5t + 4 = (t )(t ) 3. m2 + 7m + 10 = (m )(m ) q2 – q – 56 Steps: Create the Pool Check if the Grass fits If not, find alternative sizes for the pool & repeat x2 DECK GRASS Part of bx* GRASS Part of bx* c POOL

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