Further Factorising

Twenty questions to factorise the numerator and denominator quadratic expressions and then cancel.

Quadratic Discs

Six questions to find everything out about the quadratic expressions.

Factorising Quadratic Types

Prompt for learning where to put + & - symbols when factorising quadratics.

GCSE A Grade Algebra Question Match-up Cards

A set of 26 A-Grade algebra questions on simplifying, rearranging and solving. Pupils match up questions to answers and then use as support, or just for checking, to solve questions. Here is set of 'rich questions' to go with the activity.

Big Quadratic Formula

Powerpoint slide of quadratic formula, very big for pupils to copy!

Quadratic Formulae

MS Excel program that makes quadratic formula easy - just input the a, b & c values and you're done!

NB - Only use once you've practiced using the formula by hand first.

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image Completing the Square

Some questions that lead students to discover completing the square for themselves. Answers included.

   

The Discriminant

Three examples of expressions with differing discriminants and thier affect on the graphs. Here is the Autograph file used.

Quadratic Practice

Three quadratic equations, of varying difficulty, to solve via each of the three methods: Factorising, Completing the Square & Quadratic Formula.

Three versions of this: Easy, Medium or Hard.

Practice at completing the square.

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image Solving Quadratics by the 3 Methods

Three sets of four questions: solving by factorising, solving by quadratic formula, solving by completing the square. In each set one question straightforward, one harder, one requiring rearrangment, one from another format. Answers included.

   

Factorising Quadratics Lead In

Ten quadratics to expand which lead to the concept of factorising with differing +/- symbols

Expanding Quadratics

Twelve quadratic expansions to rewrite without the brackets. Then twelve more plus twelve to factorise.

Quadratic Matching

Match up the factorised quadratic expressions with the expanded versions. I used this as a topic consolidation activity.

Quadratic Expansions

Ppt file that attempts to highlight similarities between long multiplication and expanding quadratics.

Quadratics

Cut them up then match up each expression in the expanded, factorised, completed square, graphical and the quadratic formula forms.