## LINEAR & QUADRATIC EQUATIONS

## OVERVIEW

Students will be revisiting and then building on their understanding of how to form and solve linear equations from KS3 to find the solution of simultaneous equations by both algebraic and graphical methods.

Expanding brackets will be revisited as an introduction to factorising and solving quadratics. Higher tier students will then have the knowledge and understanding required to solve sets of simultaneous equations where one is linear and the other is quadratic following learning all methods of solving a quadratic equation.

The previous lessons for this half term can be found here.

## Lesson Resources

Lesson 1 – Forming algebraic expressions

Lesson 2 – Solving linear equations

Lesson 3 – Forming and solving linear equations

Lesson 4 – Solving simultaneous equations by elimination (subtraction)

Lesson 5 – Solving simultaneous equations by elimination (addition)

Lesson 6 – Difference or sum

Lesson 7 – Balancing coefficients

Lesson 8 – Simultaneous scenarios

Lesson 9 – Olaf’s boat hire

Lesson 10 – Points of intersection

Lesson 11 – Expanding a single bracket

Lesson 12 – Expanding single brackets

Lesson 13 – Expanding double and triple brackets

Lesson 14 – Drawing quadratic graphs

Lesson 15 – Finding the roots of quadratic equations by factorising

Lesson 16 – Solving quadratic equations by factorising

Lesson 17 – Further factorising quadratics (Higher only)

Lesson 18 – Forming and solving quadratics where a > 1 (Higher only)

Lesson 19 – Completing the square (Higher only)

Lesson 20 – Solving quadratics by completing the square (Higher only)

Lesson 21 – The Quadratic Formula (Higher only)

Lesson 22 – Solving non-linear simultaneous equations (Higher only)

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