6 hours Year 9 Extension Spring Term Unit 2 Equations, formulae and identities

NNS 52–59, 116–121, 138–143

Autumn Term

Spring Term

Summer Term

Support (from Y9 teaching programme)
• Simplify or transform algebraic expressions by taking out single-term common factors
• Use formulae from mathematics and other subjects; substitute numbers into expressions and formulae; derive a formula and, in simple cases, change its subject.

Core (from Y9 objectives for able pupils)
Construct & solve linear equations with integer coefficients (with & without brackets, negative signs anywhere in the equation, positive / negative solution) using an appropriate method (Y9 KO)
• Solve linear inequalities in one variable, and represent the solution set on a number line; begin to solve inequalities in two variables
Square a linear expression, expand the product of two linear expressions of the form x ± n and simplify the corresponding quadratic expression
• Derive and use more complex formula and change the subject of a formula

Establish identities such as a^2 – b^2 = (a + b)(a – b)

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Starters

Main

ICT

Scaffolding

Key Questions

Notes

ATM 40 Problems
~ Find the numbers

ATM What Kind of Game...
~ Quadratic add and subtract 1
~ Quadratic loop game A

 

Mymaths

Substitution 2

Rearranging 1

Brackets (expanding double)

Factorising Linear

Inequations

Solving Equations

Equations With Fractions

Equation Pairs - Game

Active worksheets

Various activities

Keymaths

9-3 Chapter 8

ATM 40 Problems
~ p5 Bike ride
~ p9 Consecutive numbers (1)

ATM What Kind of Game...
~ Equation cards fractional solutions

 

SHELL
~ Manufacturing a computer

 


~ 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.

 

Can an equation have more than one solution?

 

Can an equation have no solutions?

MAP – Level Ladders
~ Equations, formulae, identities

Extended task: SHELL Manufacturing a Computer