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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 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 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