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If...Then? Today I can construct function tables with if...then statements using simple equations.

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Essential Questions What is mathematical reasoning? How does it relate to if...then statements? What is an algebraic function? What are the rules of computation?

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**For starters.... Think...what operations do we use in math?**

List as many as you can on your whiteboard. Share with your face partner. Discuss as a class.

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**What operation is this problem? How did you come to that conclusion?**

I have a PS3 and have 12 games next to the machine. If I had 20 games total then how many am I missing? What operation is this problem? How did you come to that conclusion?

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**Mathematical reasoning:**

Vocabulary Mathematical reasoning: Thinking through math problems logically in order to arrive at solutions. A function involving addition, subtraction, multiplication, and/or division to solve a problem such as finding what X is. Algebraic function:

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**Order of Operations Parenthesis Exponents Multiplication Division**

Please Excuse My Dear Aunt Sally! Parenthesis Exponents Multiplication Division Addition Subtraction

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**. . Mathematical Symbols 30÷5 or 30/5 Division: ÷ /**

Multiplication: x ( ) . 4x3 or 4(3) or 4 3 Division: ÷ / 30÷5 or 30/5

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**Let’s try a few using PEMDAS!**

2(3) + 4(7) = 2(3+2) = 30/5 - 4(1) =

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**Now on your own... (3+11) + (34-16) = 32 7(8) - 54 = 2 144/12 + 15 =**

Don’t forget PEMDAS! (3+11) + (34-16) = 7(8) - 54 = 144/ = 32 2 27

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If...then statements 4 x A = B 4 x 5 = ? If...A = 5 then...B = ?

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Try one! If... X = 13 then...Y =? 25 + X = Y = 38 Y = 38

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**Function Tables 3+X=Y 5 7 2 6 3 4 If X is 2...then Y is... Y X**

If I were to continue this table...using mathematical reasoning...what would come next? How did you come to that conclusion?

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**Let’s try one together! 3X+6=Y Y 9 69 33 X 45 57 13 17 21**

Don’t forget PEMDAS! 3X+6=Y X Y 9 33 13 45 17 57 21 69

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**On your own complete the function table.**

Don’t forget PEMDAS! (A+3)2=B A B 20 23 26 46 52 58 64 29

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**Closure What are the rules for computation? (Order of Operations)**

How do if...then statements help me to complete a function table? Share...in your table groups share your summary. Share...with me!

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