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.
Lesson Resources
Simultaneous Equations
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 – Using Substitution to solve simultaneous equations
Working with Quadratics
Lesson 11 – Expanding a single bracket
Lesson 12 – Expanding single brackets
Lesson – Expanding double brackets
Lesson – Expanding triple brackets (Higher)
Lesson 13 – Expanding double and triple brackets (needs splitting)
Lesson 14 – Factorising Quadratics (a=1)
Lesson 15 – Drawing quadratic graphs
Lesson 16 – Finding the roots of quadratic equations by factorising
Lesson 17 – Solving quadratic equations by factorising
Lesson 18 – Further factorising quadratics (Higher)
Lesson 19 – Forming and solving quadratics where a > 1 (Higher)
Lesson – Complete the square (Higher)
Lesson – Complete the square and the vertex of a quadratic (Higher)
Lesson 20 – Completing the square (Higher only) (needs editing)
Lesson 21 – Solving quadratics by completing the square (Higher only)
Lesson 22 – The Quadratic Formula (Higher only)
Lesson 23 – Solving non-linear simultaneous equations (Higher only)
Lesson – Solving quadratic inequalities