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Published byShanon Sharp Modified over 9 years ago
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Equation Invasion Objective: I can create and solve one-step equations using inverse operation.
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What’s the Big Idea? What is an equation? How can I use the inverse operation to solve an equation? What is a variable? How do I solve for the unknown quantity?
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What is Missing? +?= + ? = 13+? =25
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What is an Equation?...It is like a puzzle, and YOU are trying to find the missing piece!!...It is like a puzzle, and YOU are trying to find the missing piece!!
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This is what an Equation Looks Like... 14 + x = 23 This is the variable, or the unknown amount. An equation always has an equal sign.
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Before we go on... We need to know about... Before we go on... INVERSE OPERATIONS!!!
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Before we go on... INVERSE (OPPOSITE) OPERATIONS!!! What is the opposite of addition? What is the opposite of multiplication? What is the opposite of subtraction? What is the opposite of division?
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Also...You NEED to know Before we go on... 15 + x = 43 If there is no sign in front of a number, it is POSITIVE, which means it is hidden addition. +
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One MORE thing... Before we go on... 12x = 132 If there is a number RIGHT NEXT TO a variable, it means MULTIPLICATION!
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Alright, I Think You’re Ready for the Steps... Before we go on... Step 1: Isolate the variable, use the INVERSE OPERATION to get the variable by itself! x - 12 = 32 Hmmm...here I have a MINUS 12, what is the opposite of a minus?
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Alright, I Think You’re Ready for the Steps... Before we go on... Step 1: Isolate the variable, use the INVERSE OPERATION to get the variable by itself! x - 12 = 32 A PLUS 12!!!
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Alright, I Think You’re Ready for the Steps... Before we go on... Step 2: Whatever I do to one side, I have to do to the other! x - 12 = 32 A PLUS 12!!! + 12+ 12
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Alright, I Think You’re Ready for the Steps... Before we go on... Step 3: Cancel out and re- write the variable. x - 12 = 32 A negative + a positive cancels each other out + 12 44 x =
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Alright, I Think You’re Ready for the Steps... Before we go on... Step 4: CHECK your work by plugging the answer back into the original equation! - 12 = 32 Yes, yes, yes...I must check my work!! 44 x x =
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Let’s try one more together... Step 1: Isolate the variable, use the INVERSE OPERATION to get the variable by itself! Step 2: Whatever I do to one side, I have to do to the other! Step 3: Cancel out and re-write the variable. Step 4: CHECK your work by plugging the answer back into the original equation! 16 + x = 72
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Please take out your slates Step 1: Isolate the variable, use the INVERSE OPERATION to get the variable by itself! Step 2: Whatever I do to one side, I have to do to the other! Step 3: Cancel out and re-write the variable. Step 4: CHECK your work by plugging the answer back into the original equation! 6x = 24 Solve for x... x - 17 = 54 14 + z = 56 y ÷ 4 = 12
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