(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
Covers adding/subtracting algebraic fractions, multiplying/dividing algebraic fractions, simplifying algebraic fractions, and solving equations involving algebraic 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)
A variety of puzzles. Allows students to select questions. Perfect for interactive whiteboards.
(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.
(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.
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.
Solve equations by first sketching the graph. Includes cases where you first need to manipulate the equation.