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GCSE Solving Quadratics By Factorisation
Includes forming quadratic equations from context.
Forming & Solving Equations
(Used for Tiffin Year 7 scheme of work)
(a) Solve equations, including with unknowns on both sides and with brackets.
(b) Form equations from context (with emphasis on quality of written communication, e.g. "Let x be..."), linked in with previous 'forming expressions' topic. Contexts may include:
* Algebraic angles (e.g. sum of angles in a triangle)
* Simple problems involving consecutive numbers (n, n+1, n+2, ...)
* Problems involving mean with an unknown number of items.
Covers use of the quadratic formula (and its proof).
Based on the AQA syllabus.
Full Coverage: Solving Quadratic Equations
GCSE question compilation which aims to cover all types of questions that might be seen on the topic of solving quadratic equations (including estimating solutions by use of a graph). Students can complete this set of questions interactively on the DFM Homework Platform. Also contains answers.
Full Coverage: Solving Linear Equations
GCSE question compilation which aims to cover all types of questions that might be seen on the topic of solving linear equations. Students can complete this set of questions interactively on the DFM Homework Platform. Also contains answers.
Algebraic Fractions (GCSE/IGCSE FM)
Covers adding/subtracting algebraic fractions, multiplying/dividing algebraic fractions, simplifying algebraic fractions, and solving equations involving algebraic fractions.
Solving Equations using Graphs
Solve equations by first sketching the graph. Includes cases where you first need to manipulate the equation.
a) Solve quadratics using graphical methods.
b) Sketch parabolas from quadratic equations, considering intercepts with the axis.
c) Find the minimum or maximum point of a quadratic by completing the square.
Solving Quadratic Equations
(a) Solve quadratic equations using factorising.
(b) Rearrange equations in to the form ax2 + bx + c = 0 in order to solve, when not already in this form.
(c) Solve problems involving formation of quadratic equations, including using Pythagoras with algebraic sides and areas of shapes involving algebraic sides.
Year 8 Algebra Recap
(a) Revision of simplifying algebraic expressions (multiplying, dividing, adding, expanding single brackets).
(b) Revision of solving simple equations, e.g. (x2 - 7)/2 = 9 and 1 - 3x = 2x - 7
Sherlocked - Solving Equations (KS3)
A variety of puzzles. Allows students to select questions. Perfect for interactive whiteboards.
Equations with Fractions
(From the Tiffin Year 8 scheme of work)
(a) Solve simple equations involving fractions, e.g. x/3 - 4 = x
(b) Solve equations where the variable is in the denominator, e.g. 1/(1 - 3x) = x
(c) Solve equations requiring cross multiplication, e.g 3/(2x + 1) = 4/(3 - x)