If...Then?•Today I can construct

function tables with if...then statements using simple equations.

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?

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.

For starters....

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?

VocabularyMathematical

reasoning:Thinking through math problems logically in order to arrive at solutions.

Algebraic function:A function involving addition, subtraction, multiplication, and/or division to solve a problem such as finding what X is.

Order of Operations

ParenthesisExponentsMultiplicationDivisionAdditionSubtraction

PPlease lease EExcuse xcuse

MMy y DDear ear AAunt unt SSally!ally!

Mathematical Symbols

Multiplication: x ( )

Division: ÷ /

4x3 or 4(3) or 4 3

30÷5 or 30/5

.

.

Let’s try a few using PEMDAS!

2(3) + 4(7) = 2(3+2)

= 30/5 - 4(1) =

Now on your own...(3+11) + (34-16) =

7(8) - 54 =

144/12 + 15 =

32

2

27

Don’t Don’t forget forget

PEMDAS!PEMDAS!

If...then statements

4 x A = B

If...A = 5then...B

= ?

4 x 5 = ?

Try one!25 + X = Y

If... X = 13then...Y =?

25 + 13 = 38Y = 38

Function Tables

XX YY

2 5

3 6

4 7

3+X=YIf I were to If I were to

continue this continue this table...using table...using

mathematical mathematical reasoning...whreasoning...wh

at would at would come next? come next? How did you How did you come to that come to that conclusion?conclusion?

If X is 2...then Y is...

Let’s try one together!

XX YY

3X+6=Y

9 334513

17 576921

Don’t Don’t forget forget

PEMDAS!PEMDAS!

On your own complete the function table.

AA BB202326

(A+3)2=B

4652586429

Don’t Don’t forget forget

PEMDAS!PEMDAS!

ClosureWhat 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!