3 hours Year 9 Core Summer Term Unit 14 Equations, formulae and identities

NNS 116–121, 138–143

Autumn Term

Spring Term

Summer Term

Support (from Y8 teaching programme)
Simplify or transform linear expressions by collecting like terms; multiply a single term over a bracket

Core (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
• Add simple algebraic fractions

Extension (from Y9 objectives for able pupils)
Square a linear expression, expand the product of two linear expressions of the form x ± n and simplify the corresponding quadratic expression; establish identities such as
a 2 – b 2 = ( a + b )( a b ).
Solve linear inequalities in one variable, and represent the solution set on a number line; begin to solve inequalities in two variables.

Starters

Main

ICT

Scaffolding

Key Questions

Notes

KS3 / MAP
~ Rearranging equations - pupil answers OHT
~ True or false OHT

KS3 T5 Snappers
~ 7 Twelve days of Christmas
~ 8 Substitution spider

MAP
~ Simultaneous real things

 

CORNWALL / Framework
~ Algebra 3

KS3 Booster
~ Lessons 6 (Algebraic expressions) and 13 (Algebraic equations)
~ Level 6 Lessons 6 (Algebraic expressions) and 13 (Algebraic equations)

KS3 T5
~ Add-on 5: Expressions
~ Stinger 9 Substitution; 10 Simplifying and solving

MEDIAN - Formulae
~ Rearrangement 1

MEDIAN - Linear equations
~ False position

MEDIAN - Simultaneous equations
~ Bits and bobs

MEDIAN - Substitutions
~ Sometimes / always the same 3
 

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

MEDIAN - Rearrangement
~ Transformer / spider diagram
~ Cuisenaire rods

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