3 hours

Year 9 Extension

Spring Term

Unit 13

Equations, formulae and identities

NNS 126-129

Autumn Term

Spring Term

Summer Term

Support (from Y9 teaching programme) • Construct and solve linear equations with integer coefficients (with and without brackets, negative signs anywhere in the equation, positive or negative solution) using an appropriate method
Core (from Y9 objectives for able pupils) • Solve a pair of simultaneous linear equations by eliminating one variable; link a graphical representation of an equation or a pair of equations to the algebraic solution ; consider cases that have no solution or an infinite number of solutions.

Starters	Main	ICT	Scaffolding	Key Questions	Notes
ATM What Kind of Game... ~ Quadratic 4 in a line MEDIAN - Rearrangement ~ Operating ~ Stepping out MEDIAN - Simultaneous equations ~ Bits and bobs ~ Harder simultaneous equations (discussion sheets) ~ Families 2 Find two numbers so that they add up to 10, but the difference between them is two. Write this as simultaneous equations. MEDIAN - Quadratics ~ Pictures 1 and 2	ATM What Kind of Game... ~ Match and solve 1, 3 MAP Simultaneous rearrangement MEDIAN - Expanding brackets ~ a + b = p; ab = q ~ Multiplying brackets to get trinomials MEDIAN - Simultaneous equations ~ Bits and bobs ~ Simple simultaneous equations ~ Slightly harder simultaneous equations ~ More slightly harder simultaneous equations ~ Harder simultaneous equations ~ Even harder simultaneous equations ~ Small change - big change ~ Families 3 MEDIAN - Solving quadratics ~ Approaching completing the square ~ Squaring a multiple of 5 MEDIAN - Substitution ~ Puzzles ~ Magic square	HORN, Cornwall ~ Points of Intersection MEDIAN - Substitution ~ Greatest value	MEDIAN Factorising quadratics ~ Forming quadratics: e.g. multilink algebra, or using squares, rows and extra dots, reforming to show factorisation	How can we prove the index laws for multiplication and dvision? What method would you use to multiply 16 x18? Grid method leads to expanding two brackets. Why does the point of intersection show the solution to a pair of simultaneous equations? Link graphical and algebraic representations. Can an equation have more than one solution? Can an equation have no solutions? What's the point in changing the subject of a formula?	MAP – Level Ladders ~ Equations, formulae, identities MEDIAN : Solving simultaneous equations by the elimination method - discussion