algebra foundations series- 1.2 order of operations

1.2 Part 1 Order of OperationsI CAN:- Simplify expressions involving exponents.- Use the order of operations to evaluate expressions.

You’ve Won a Prize!

• You’ve won! For your prize, you get to choose between the two options shown:

Prize 1:You get $60 immediately.

Prize 2:You get $1 on the first day. Then, each day for the next five days, you get twice the previous day’s amount.

Which would you choose?

Openera) Write this in math language: eight less than twice a number.

b) What is the result if the original number is 40?

c) What is the result if the original number is 20?

d) If the result is 0, what is the original number?

e) What was the most popular baby girl name in 1994? Boy name?

Chocolate Math1. Pick the number of times per week you’d like to have chocolate. (At least once but less than ten times.)2. Multiply this number by 2.3. Add 5.4. Multiply it by 50.5. If you have already had your birthday, add 1758. If you haven’t, add 1757.6. Now subtract the four-digit year you were born in.7. You should have a three-digit number.

THE FIRST DIGIT OF THIS IS YOUR ORIGINAL NUMBER

THE NEXT TWO NUMBERS ARE YOUR AGE

3. Make A Number Line

4. Use The Number Line

7 + 8

4. Use The Number Line

7 - 8

4. Use The Number Line

7 - 8 + 5

4. Use The Number Line

4 - 7 + 12 - 16 + 7

4. Use The Number Line

4 - (-7) + (-12) - (+16) + 7

Quiz

Practice

Challenge

3 712 6 (7)

3 ( 7) (12) 6 (7)

Focus Question…

• How does simplifying an expression with an exponent involve multiplication?

Vocabulary to Know

• Power– Has two parts: a base and an

exponent

Vocabulary to Know

• Power– Has two parts: a base and an

exponent• Exponent

– Tells you how many times you use the base as a repeated factor

Vocabulary to Know

• Power– Has two parts: a base and an

exponent• Exponent

– Tells you how many times you use the base as a repeated factor

• Base– The repeated factor

Vocabulary to Know

• Power– Has two parts: a base and an

exponent• Exponent

– Tells you how many times you use the base as a repeated factor

• Base– The repeated factor

Vocabulary to Know

• Simplify– Replace an expression with its

numerical value

Vocabulary to Know

• Simplify– Replace an expression with its

numerical value• 2 · 8

Vocabulary to Know

• Simplify– Replace an expression with its

numerical value• 2 · 8 Expression• 16 Simplified

BIG Ideas

• Power can be used to shorten the representation of repeated multiplication.

BIG Ideas

• Power can be used to shorten the representation of repeated multiplication.2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

BIG Ideas

• Power can be used to shorten the representation of repeated multiplication.2 x 2 x 2 x 2 x 2 x 2 x 2 x 228

BIG Ideas

• Power can be used to shorten the representation of repeated multiplication.2 x 2 x 2 x 2 x 2 x 2 x 2 x 228

• When simplifying an expression operations must be performed in the right order.

Simplifying Powers

• What is the simplified form of each expression?

107

3 (0.2)2

Simplifying Powers

• What is the simplified form of each expression?

107 = 10 · 10 · 10 · 10 · 10 · 10 · 10

3 =

(0.2)2 = (0.2) · (0.2)

Simplifying Powers

• What is the simplified form of each expression?

107 = 10 · 10 · 10 · 10 · 10 · 10 · 1010,000,000

3 =

(0.2)2 = (0.2) · (0.2)0.04

Simplifying Powers

• What is the simplified form of each expression?

34

(0.5)3

Simplifying Powers

• What is the simplified form of each expression?

34 = 3 · 3 · 3 · 3

=

(0.5)3 = (0.5) · (0.5) · (0.5)

Simplifying Powers

• What is the simplified form of each expression?

34 = 3 · 3 · 3 · 3 81

=

(0.5)3 = (0.5) · (0.5) · (0.5)0.125

Focus Question Answer Time

• How does simplifying an expression with an exponent involve multiplication?

Focus Question

• Why is it necessary to use the order of operations to evaluate an expression?

Try This…

2 + 3 · 5 add first

2 + 3 · 5multiply first

Try This…

2 + 3 · 5 add first

2 + 3 · 5multiply first

Uh Oh! We got different answers!

Order of Operations

• 1. Perform any operations inside grouping symbols, such as parentheses ( ) and brackets [ ]. A fraction bar also acts as a grouping symbol.

• 2. Simplify powers.• 3. Multiply and divide from left to

right.• 4. Add and subtract from left to

right.

3. Order of Operations

20 - 3 + 4

3. Order of Operations

(20)(-3)(4)

3. Order of Operations

20 + 5 • 4

3. Order of Operations

20 + 5 • (4 - 1)

3. Order of Operations

20 + 5 • (4 - 1)2

3. Order of Operations

20 ÷ 5 • 2 + 5 • (4 - 1)2

3. Order of Operations

5 4 • 23

52 4(2)(3)

42 2(3)(9)

(6 8)2 • (1 7)

4 • 32

6 • 22

93• 2 3 2 72

15 23 505 3 4(3)2 1 2 3 4 12 • 22

Simplifying a Numerical Expression(6 – 2)2 ÷ 2

Simplifying a Numerical Expression

𝟐𝟒−𝟏𝟓

Simplifying a Numerical Expression5 · 7 – 42 ÷ 2

Simplifying a Numerical Expression12 -

Simplifying a Numerical Expression(5 – 2)3 ÷ 3

Focus Question Answer

• Why is it necessary to use the order of operations to evaluate an expression?

Your Assignment

• Pages 13-141-29-33

Attributes

• Textbook: Prentice Hall Algebra I Foundations Series

• Certain slides were lifted from Dan Meyer’s amazing algebra curricula through use of a Creative Commons attribution license. If you haven’t been to Mr. Meyer’s website and teach math, you’re surely missing out! http://blog.mrmeyer.com/