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Yr 8 Unit 2 – Algebra – Equations and formulae
4 lessons
Support Objectives
Level
NNS Ref
4
112
4
116
Level
NNS Ref
4
113
2 Know that algebraic operations follow the same conventions and
order as arithmetic operations;
Nt pg 158, 160, 164
3 use index notation for small positive integer powers.
Nt pg 158, 160, 164
FVT Powers
4 Simplify or transform linear expressions by collecting like terms;
NT pg 166-168
FVT Algebra Pyramids 1
FVT Algebra Pyramids 2
FVT Algebra Pyramids 3
FVT Simplify, expand, factorise
ET Simplifying expressions
Collecting Like Terms (Lgfl)
5 multiply a single term over a bracket.
Nt pg 178-179
FVT Simplify, expand, factorise
Expanding Brackets (Lgfl)
ET A and B expressions
4
115
5
115
5
117
5
117
6 Use formulae from mathematics and other subjects; substitute
6
139
1 Use letter symbols to represent unknown numbers or variables;
know the meanings of the words term, expression and equation
Nt pg 142
2 Simplify linear algebraic expressions by collecting like terms
Nt pg 143
FVT Simplify, expand, factorise
Easiteach Algebra journies
FVT Algebra Pyramids 1
FVT Algebra Pyramids 2
Core Objectives
1 Begin to distinguish the different roles played by letter symbols in
equations, formulae and functions; know the meanings of the words
formula and function.
Nt pg 158
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Creating Expressions from Words (5 mins)
Function Machines (easy)
Function Machines (more complex) click 'Machines' to load
Visualising Expressions using Area
integers into simple formulae, and positive integers into
expressions involving small powers (e.g. 3x2 + 4 or 2x3);
Nt pg 172, 175
FVT Substituting
FVT Substituting into expressions
ET Equalize
ET Substitution starter 1
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Substitution 1,2,3,4,5,6,7
Substitution Matching (MathsNet)
Simple Substitution Game (BBC)
Substitution Worksheet
7 derive simple formulae.
Nt pg 182
Extension Objectives
1 Use index notation for integer powers and simple instances of the
index laws
Nt pg 50, 155
FVT Powers
FVT Power problems
FVT Rules of indices algebra
2 Simplify or transform algebraic expressions by taking out single
term common factors.
Nt pg 163
FVT Simplify, expand, factorise
6
143
Level
6/7
NNS Ref
115
7
117
Vocabulary
Substitute, formula, term, expression, bracket, distributive, graph, co-ordinates
Ideas for starters
Think of a number
Algebra bingo
Loop cards for collecting terms
Substitution in a given formula
Shopping baskets for collecting terms
HOLS/maths investigations
Make a pairs matching game – terms and simplified expression
Generate equivalent expressions
Find the perimeter of a shape whose sides are given algebraically.
Give two sides of a rectangle algebraically, express the other parallel sides using equivalent
expressions.
Make a pairs matching game – single bracket and its expansion
Spot the errors – explain and write the correct expression
Give two sides of a rectangle algebraically, express the other parallel sides using equivalent
expressions.
Find area of a rectangle with one side expressed algebraically
ICT links / citizenship
Boardworks: Algebra Cards, Addition Pyramids, Multiplication Pyramids
Kaleidos: Bracket Brains (Easiteach), Candy Challenge (Easiteach)
Ideas for plenaries
Algebra pyramids – pupils make up pyramid on whiteboards, rub out some of the cells and ask
their partner to complete the pyramid
Algebra pyramids.
What expression would multiply to give…… (factorising)
Given the area of a rectangle algebraically, suggest suitable lengths for the sides.
Ideas for homework
Webmaths A and B substitution spiders
Webmaths Y7 substitution
Webmaths Y7 Expand brackets
Webmaths Multiply out brackets and simplify 1
Webmaths Multiply out brackets and simplify 2
Webmaths Factorise expressions
Ideas for Formative Comments:
(1) I need to know how to simplify expressions by collecting like terms
Unit 1 Collect like terms
(2) I need to know how to multiply a single term over a bracket
Unit 2 Multiply out brackets and simplify 1
(3) I need to know how to substitute values into a variety of algebraic expressions
Unit 2 A and B substitution spiders
Unit 2 Substitution
Unit 2 Substitution spiders
(4) I need to know how to factorise linear expressions Unit 2 Factorise expressions