Yr 8 Unit 4 – Algebra – Equations and formulae
5 lessons
Support Objectives
1 Construct and solve simple linear equations with integer
coefficients (unknown on one side only) using an appropriate method
(e.g. inverse operations).
NT pgs 156, 157
FVT solve equations 1
FVT Solve equations break it up
FVT Equation solver unknown on one side
Core Objectives
1 Construct and solve linear equations with integer coefficients
(unknown on either or both sides, without and with brackets) using
appropriate methods (e.g. inverse operations, transforming both
sides in the same way).
Nt pgs 181,184 & 188
Maths Guru (power point presentation) Simple equations
FVT solve equations 1
FVT Solve equations break it up
FVT Equation solver unknown on one side
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Level
NNS Ref
5
122-152
Level
6
NNS Ref
122-125
Level
6
NNS Ref
122-125
Balance Interactive
Balance Interactive, including negatives
Solving Linear Equations, unknowns both sides
Equation Buster
Solving Linear Equations (5 mins)
Maths Net worksheets
Extension Objectives
1 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.
NT pages 175 & 178
Maths Guru (power point presentation) simple equations
FVT solve equations 1
FVT Solve equations break it up
FVT Equation solver unknown on one side
FVT Equation solver unknowns on both sides 1
FVT Equation solver unknowns on both sides 2
Maths Net worksheets –linear equations
2 Use formulae from mathematics and other subjects;
substitute numbers into expressions and formulae;
NT pages 168 & 172
BBC Mathsfile –Algebra Games
FVT substitution
FVT Substituting into expressions
FVT substitution with squares and cubes
3 derive a formula and, in simple cases, change its subject.
5
138-143
7
Vocabulary
Brackets, collect like terms, evaluate, expression, formula, formulae, inverse operations,
solution, substitute, symbol, verify, Algebra, symbol, variable, simplify, solve, term, equation,
unknown
Ideas for starters
Think of a number
Students act as function machines, others act as inverses
Inverses of movements (maths through dance)
Emptying baskets of letters from repro for removing brackets
HOLS/maths investigations
Pyramids (NNS page 122)
Triangular arithmagon (NNS page 123)
NNS Magic squares page 139
MathsNet Linear equations-ordering
ICT links / citizenship
www.mathsnet.net/gcse/worksheets.html
www.mathsguru.com
Ideas for plenaries
Forming equations using everyday situations
Ideas for homework
Webmaths Substitution
Webmaths Solving Equations
Webmaths Mixed Solving Equations
Ideas for Formative Comments – ALL LINKS ARE FROM WEBMATHS
(1) I need to practice questions on using function machines
Unit 3 Function machines
(2) I need to practice questions on solving linear equations with the unknown on one side
Unit 4 Solving equations 1
(3) I need some further practice in constructing an equation and then solving this equation
Unit 3 Building equations and working backwards
(4) I need to practice solving equations which have a single bracket
Unit 4 Solving Equations 2
(5) I need to practice solving equations with the unknown on both sides
Unit 3 Solving Equations (mixed)
(6) I need to practice solving equations with brackets and the unknown on both sides
Unit 1 Harder solving uations