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Pre-Algebra. PRE-ALGEBRA & MathLine. Pre-Algebra. Pre-algebra is difficult because of the confusing language. Equality Principle Balancing an Equation Definition of a Variable, etc. Pre-Algebra. MathLine makes Algebraic concepts EASY TO UNDERSTAND!. Pre-Algebra.
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Pre-Algebra PRE-ALGEBRA & MathLine
Pre-Algebra • Pre-algebra is difficult because of the confusing language. • Equality Principle • Balancing an Equation • Definition of a Variable, etc.
Pre-Algebra MathLine makes Algebraic concepts EASY TO UNDERSTAND!
Pre-Algebra MathLine makes Algebraic concepts EASY TO UNDERSTAND! By introducing abstract ideas with simple language
Pre-Algebra Let’s solve 2x + 5 = 17
Pre-Algebra So ask the student, what do we know in this sentence: 2x + 5 = ? 17 So put 17 on MathLine We know our sum is17
Pre-Algebra With 2x + 5 = 17 We know we added 5 to 2x to get 17
Pre-Algebra So ask, “If we added 5 to get 17, can we subtract 5 from 17?”
Pre-Algebra If we added 5 to get 17 Can we subtract 5?
Pre-Algebra So subtract 5 from 17… 5 4 3 2 1
Pre-Algebra So subtract 5 from 17…
Pre-Algebra 2x = 12 So ask, “What number times 2 equals 12?”
Pre-Algebra There are two ways of finding X for 2x = 12
Pre-Algebra Divide by 12 by two’s..
Pre-Algebra Divide by 12 by two’s..
Pre-Algebra Divide by 12 by two’s..
Pre-Algebra Divide by 12 by two’s..
Pre-Algebra Divide by 12 by two’s..
Pre-Algebra Divide by 12 by two’s..
Pre-Algebra Divide 12 by two’s.. 1 2 3 4 5 6
Pre-Algebra Or divide 12 into two GROUPS… 6 6
Pre-Algebra Either way x = 6 6 6
Pre-Algebra On paper the Algebra looks like this…
Pre-Algebra To get x by itself subtract 5 from both sides of the equation. 2x + 5 = 17 – 5 –5 This is the Equality Principle
Pre-Algebra What is done to one side of the equation… must be done to the other side to keep it equal.
Pre-Algebra 5’s cancel out 2x + 5 = 17 – 5 –5
Pre-Algebra and 17 – 5 equals 12 2x = 17 - 5
Pre-Algebra and 17 – 5 equals 12 2x = 12
Pre-Algebra 2x = 12 So divide by 2 on each side 2 x12 2 2 = Or 2 x ÷ 2 = 12÷ 2
Pre-Algebra So, x = 12÷ 2 Or x = 6
Pre-Algebra Using MathLine to introduce Pre-Algebra is effective and simple.
Pre-Algebra MathLine makes Pre-Algebra Easy to visualize And keeps the confusing language simple.