SMART Notebook 8.1Sep 28 - 1:40 PMTeacher Notes Subject: Numeracy Topic: Algebra Title: Introduction to Algebra Years(s): KS2 and KS3 Cross-curricular link(s): Non-specific Intended learning outcome(s)· Students identify the differences and similarities between algebraic expressions and algebraic equations.· Students solve algebraic equations and expressions. Recommended usage: · Be sure to look behind green boxes and yellow circles to find answers to questions and examples for definitions.· The matching game on the last page is designed to be like any matching game that you can buy at the store.How to use Notebook(TM) softwareLearn helpful tips and tricks for developing and presenting lesson activities.© 2004 SMART Technologies Inc. All rights reserved. For further information, please see copyright notice.Sep 28 - 1:40 PMIntroduction to AlgebraWindows(R) operating system and Mac OS X operating system software Submitted by:Cristy HoltzclawAug 22 - 6:07 PMAlgebraa type of maths that uses letters and symbols to represent unknown numbersAug 22 - 6:15 PMYou have probably used algebra before and didn't realize it...Jeff had 300 toy cars in his collection. After Christmas, he had a total of 420 toy cars. How many cars was Jeff given for Christmas?300 cars + C = 420 cars300 cars plus some number of cars equals 420 carsWrite as a math problem.This means...300 + c = 420Algebra...Aug 22 - 6:15 PMThe letters/symbols in algebra are called variables.Circle all the items that could be variables.x + 21= 82z - 35y * 8 = 5672 - b = 2426 ÷ m = 13Aug 22 - 8:42 PMWhy is it called a variable??Because it can vary (change) depending on the situation.In one problem, x can equal 4 and in another problem x can equal 19. Variables may change according the algebra problem being evaluated.Aug 22 - 6:15 PMIn the problem, you would replace the y in the expression with the number it equals. y + 9 2 + 9 = 11If y = 2, evaluate the expression y + 9.Example We have two ways to use algebra...Expressions involve variables, operations, and numbers.1Aug 22 - 6:15 PM9 + x 13 z - 4y 2 6y ÷ 3 4 xy ÷ 4 2 z - xy + 4 6z + 4 14 2y - 3 1 70 ÷ z 7 z + x + y 16 xy + 14 22If x = 4, y = 2, and z = 10, evaluate the following expressions.Practice with algebraic expressions...Aug 22 - 9:06 PM2471016610241214893203060If b = 3, c = 6, and a = 12, evaluate the following expressions.More practice...a ÷ b _____ 4 + c _____ bc - a _____ b - a ÷ c _____ a - 4b _____ 5c - 2b _____Possible answersAug 22 - 6:15 PMTry different numbers to replace x. Once the statement is true, you know what x equals.x + 9 = 2111 + 9 = 2110 + 9 = 21x = 1212 + 9 = 21Example Equations describe two things that are equal. They may include variables, operations, numbers and will always have an equal sign.2Aug 22 - 9:06 PMPractice with algebraic equations...17 - x = 15 x = _____ m + 5 = 10 m = _____ 12 + y = 17 y = _____ 15 ÷ n = 3 n = _____ 2 + z = 10 z = _____ 2j = 6 j = _____Aug 22 - 9:06 PMEquation MatchEquation MatchEquation MatchEquation MatchEquation MatchEquation MatchEquation MatchEquation MatchEquation MatchEquation MatchEquation MatchEquation MatchEquation MatchEquation MatchEquation MatchEquation MatchEquation MatchEquation MatchEquation MatchEquation Matchx + 23 = 3210 - b = 2x = 945 ÷ x = 949 ÷ x = 7x + 5 = 1124 ÷ x = 6x = 89 - x = 64x = 812x = 12x = 7x = 6x = 2x = 3x = 5x = 4x = 0x = 110 + x = 10More practice...Discard PileGirlsBoys