 Algebra and Functions 1 Resource description INDICES AND SURDS Basic indices - introduction Basic rules of indices and spot the mistake Rules of indices-algebra Multiplying, dividing, brackets and fractional powers Rules of indices jigsaw puzzle Mixture of basic, fractional and negative powers where the value of x is to be found Writing indices in a different way Converting terms written using roots into powers and vice versa. Rules of Indices (mathsnet.net) Rules of indices including multiplication, division, brackets, fractions and negatives. Three exam questions on rules of indices Easiteach file with a variety of exponential equations to use as a starter with whiteboards or a main lesson activity Surds Numbers written in the form a root b, expand double brackets and simplify fractions. Simplifying Surds (mathsnet.net) Writing surds in the form a root b, multiplying out brackets and simplifying fractional surds Surds exam questions (mathsnet.net) Five exam questions on surds EXPAND BRACKETS AND FACTORISE Expand double brackets Expand Double Brackets (mathsnet.net) Expand double brackets Expand brackets - powerpoint starter Expand brackets with quadratic and cubic answers Factorise quadratics Factorise quadratics Factorise quadratics. Factorise quadratics (mathsnet.net) Factorise quadratics including the difference of two squares Factorise quadratics, difference of two squares, factorise into one bracket SOLVE QUADRATICS, DISCRIMINANTS AND COMLETING THE SQUARE Solve quadratics by factorisation, including the difference of two squares. Find the discriminant and determine how many roots the equation has. Understanding the Discriminant Investigate using Autograph or Omnigraph to visually understand the number of solutions of a quadratic graph Discriminants (mathsnet.net) Interactive graph allows you to discover what happens when you find the discriminant Discriminants exam questions (mathsnet.net) One discriminant exam question Investigate complete the square Use omnigraph or autograph to investigate lines of symmetry and turning points Investigate completing the square visually (mathsnet.net) See effect on curve of changing the values of a, b and c Completing the square Complete the square to determine the line of symmetry of the curve. Completing the square (mathsnet.net) Completing the square of quadratic expressions Completing the square exam questions (mathsnet.net) Six exam questions on completing the square Solve by completing the square (mathsnet.net) Solve quadratics by completing the square Quadratic formula Solve quadratics using the formula Solve and leave answers in surd form Solve quadratics exam question (mathsnet.net) Solve simultaneous equation by solving the quadratic Solve by factorising exam question (mathsnet.net) Solve by factorising and finding equal roots SIMULTANEOUS EQUATIONS AND INEQUALITIES SIMULTANEOUS EQU SOLVER Solve simple linear simultaneous equations Simultaneous Equations Solve simple linear simultaneous equations Rearrange the method to solve the simultaneous equation when one is linear and one quadratic. Simultaneous Equtions 5 exam questions (mathsnet.net) Solve 5 exam questions involving linear and quadratic simultaneous equations Inequalities Solving simple inequalities Solve linear inequalities of the form ax+b