Yr 9 Unit 1 –Number–Support and Core
Yr 8 Unit 4 – Algebra – Equations and formulae
5 lessons
| |Support Objectives |Level |NNS Ref |
|1 |Construct and solve simple linear equations with integer coefficients (unknown on one side only) using an |5 |122-152 |
| |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 |Level |NNS Ref |
|1 |Construct and solve linear equations with integer coefficients (unknown on either or both sides, without and with |6 |122-125 |
| |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 | | |
| |Balance Interactive | | |
| |Balance Interactive, including negatives | | |
| |Solving Linear Equations, unknowns both sides | | |
| |Equation Buster | | |
| |Solving Linear Equations (5 mins) | | |
| | | | |
| |Maths Net worksheets | | |
| |Extension Objectives |Level |NNS Ref |
|1 |Construct and solve linear equations with integer coefficients (with and without brackets, negative signs anywhere |6 |122-125 |
| |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; |5 |138-143 |
| |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. |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
gcse/worksheets.html
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
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