6 hours

Year 9 Core

Autumn Term

Unit 3

Equations, formulae and identities

NNS 112–113, 122–125, 132–137

Autumn Term

Spring Term

Summer Term

Support (from Y8 teaching programme) • Know the meanings of the words formula and function • Construct and solve linear equations with integer coefficients (unknown on either or both sides) using appropriate methods (e.g. inverse operations, transforming both sides in the same way) • Begin to use graphs and set up equations to solve simple problems involving direct proportion
Core (from Y9 teaching programme) • Distinguish the different roles played by letter symbols in equations, identities, formulae and functions • 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 • Use systematic trial and improvement methods and ICT tools to find approximate solutions of equations such as x 3 + x = 20 • Solve problems involving direct proportion using algebraic methods, relating algebraic solutions to graphical representations of the equations; use ICT as appropriate.
Extension (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 40 Problems ~ p2 Cows sheep and ducks ATM What Kind of Game.. ~ Fix the machine ~ Substitution 4 in a line ~ Multiplication and division 4 in a line ~ Two sided equations sheet 2 MAP ~ Constructing Equations	Mymaths Simple Equations Solving Equations Trial and Improvement Equation Pairs - Game Simultaneous equations 1 Active worksheets Various activities Keymaths 9-2 Chapter 2,8,14 ATM card activity (see Mo) ~ Excellent activity to help build up the idea of sim equations. ATM 40 Problems ~ p9 Consecutive numbers (1) ATM What Kind of Game... ~ Loopy Powers 2 KS3 ConSolEq ~ Lesson 9A1 Matching expressions ~ Lesson 9A2 solving pairs of linear equations KS3 Y9 Intervention ~ Misconceptions D Algebraic notation	30 Calculator lessons for KS3 ~ Lessons 11 Puzzling pairs; 13 Think of a number HORN, Cornwall ~ Deriving formulae 3 MAP ~ Spreadsheet for trial & improvement (can even use '=if()' to get 'too big', 'too small')	KS3 - Use the number line for solving simple equations / spider diagrams for building up expressions and equations / Coloured cards / pens for coefficients, variables, operations, constants / Symbol sense	The area of a rectangle is 20cm². What could the dimensions be? Give me six equations with the same solution? How do you work this out? If x 3 + 2x = 30, give me two numbers x is between How can you decide which is closest? How long would you continue this process?	MAP - Level Ladders ~ Equations, formulae, identities