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AIM: How do we apply the laws of exponents (product, power, quotient, and zero rules)? Take two minutes to get your Do­Now and Signals before we begin today's lesson.

Do­Now Begins! Independent Thinking and Work: Partner Share and Discussion: Finished ? Write down the homework. Alert! A l e r t ! HOMEWORK 1) HW 1.1 Q#11 ­ 18 Due Tomorrow

Aim: How do we apply the laws of exponents (product, power, quotient, and zero rules)? HW: Worksheet 1.1 Do­Now Review

Aim: How do we apply the laws of exponents (product, power, quotient, and zero rules)? HW: Worksheet 1.1 Do­Now Review

Aim: How do we apply the laws of exponents (product, power, quotient, and zero rules)? HW: Worksheet 1.1 Do­Now Review

Aim: How do we apply the laws of exponents (product, power, quotient, and zero rules)? HW: Worksheet 1.1 Do­Now Review

Announcements : 1) Seating chart starts next Monday 2) Turn in contracts and surveys. (Supplies due this Friday) 3) Pre­Regents Exam next week Monday & Tuesday

Aim: How do we apply the laws of exponents (product, power, quotient, and zero rules)? HW: Worksheet 1.1 Look at the completed problems below, and discuss a shortcut that works for ALL of them . Use your shortcut to simplify this expression:

Aim: How do we apply the laws of exponents (product, power, quotient, and zero rules)? HW: Worksheet 1.1 What is the shortcut? x 3 (x 5 ) = x 8 Multiplying Exponents Multiplying exponents with the same base RULE: ADD THE EXPONENTS and Multiply the Coefficients x 3 x 2 x 5 Use Commutative Property (x x x) (x x) (x x x x x)

Aim: How do we apply the laws of exponents (product, power, quotient, and zero rules)? HW: Worksheet 1.1 CW 1.1 ­ Try it! Try it yourself Simplify each expression (x 2 )(x 3 ) 1) ­3m 5 (7m) 2) (x ­3 )(x 4 ) 2x 3 y (11x 5 y 4 ) 3) 4)

Aim: How do we apply the laws of exponents (product, power, quotient, and zero rules)? HW: Worksheet 1.1 0 ­ 1 2 ­ 3 4 Try it yourself Correct Correct Correct Simplify each expression (x 2 )(x 3 ) 1) ­3m 5 (7m) 2) (x ­3 )(x 4 ) 2x 3 y (11x 5 y 4 ) 3) 4)

Aim: How do we apply the laws of exponents (product, power, quotient, and zero rules)? HW: Worksheet 1.1 How about dividing??? Look at the completed problems below, and discuss a shortcut that works for ALL of them . Use your shortcut to simplify this expression:

Aim: How do we apply the laws of exponents (product, power, quotient, and zero rules)? HW: Worksheet 1.1 Dividing Exponents What is the shortcut? x 6 x 2 = x 4 Dividing exponents with the same base RULE: SUBTRACT THE EXPONENTS and Divide the Coefficients

Aim: How do we apply the laws of exponents (product, power, quotient, and zero rules)? HW: Worksheet 1.1 CW 1.1 ­ Try it! Simplify each expression 5) 6) 8) 7)

Aim: How do we apply the laws of exponents (product, power, quotient, and zero rules)? HW: Worksheet 1.1 Try it yourself 0 ­ 1 2 ­ 3 4 Correct Correct Correct Simplify each expression 5) 6) 7) 8)

Aim: How do we apply the laws of exponents (product, power, quotient, and zero rules)? HW: Worksheet 1.1 Raising a Power to a Power Look at the completed problems below, and discuss a shortcut that works for ALL of them . Completely Expanded form Simplified Exponential Form Expanded Form (2 2 ) 3 (c 3 ) 4 Use your shortcut to simplify this expression:

Aim: How do we apply the laws of exponents (product, power, quotient, and zero rules)? HW: Worksheet 1.1 What is the shortcut? Raising a power to a power RULE: MULTIPLY THE EXPONENTS and Raise the Coeffient to the Power or Exponent (a b ) c = a bc

Aim: How do we apply the laws of exponents (product, power, quotient, and zero rules)? HW: Worksheet 1.1 CW #11 ­ Try it! Simplify each expression 9) 10) 11)

Aim: How do we apply the laws of exponents (product, power, quotient, and zero rules)? HW: Worksheet 1.1 0 ­ 1 2 3 Correct Correct Correct Try it yourself Simplify each expression 9) 11) 10) 12)

Aim: How do we apply the laws of exponents (product, power, quotient, and zero rules)? HW: Worksheet 1.1 Let's Take a Closer Look at #12 Two interesting things appear in this problem using the shortcut: 1) an exponent of zero 2) a negative exponent What do they really mean???? First method of understanding: Looking at a pattern

Aim: How do we apply the laws of exponents (product, power, quotient, and zero rules)? HW: Worksheet 1.1 Second method of understanding: Using Variables and expanded form Negative Exponents Zero Exponents x 2 x 2­7 = x ­5 x 5 x x x x x = x 7 1 = = x x x x x x 5 ­or­ x 2 ­or­ x x 1 1 = = x x x x x = x 5 x x x x x x x x 7 x 5 x 5­5 x 0 1 1 = = = x ­5 x 5 = x 5 Answers with negative and/ Zero as an or zero exponents exponent: are NOT simplified! a 0 =1 1 a ­n = a n This is the key touch

Aim: How do we apply the laws of exponents (product, power, quotient, and zero rules)? HW: Worksheet 1.1 Simplifying Zero Exponents Ex. 1 CW #13 CW #14

Aim: How do we apply the laws of exponents (product, power, quotient, and zero rules)? HW: Worksheet 1.1 Simplifying Zero Exponents CW #13 CW #14

Aim: How do we apply the laws of exponents (product, power, quotient, and zero rules)? HW: Worksheet 1.1 Simplifying Negative Exponents Ex. 2 Ex. 1 CW # 15 CW #16 Ex. 3 CW #17

Aim: How do we apply the laws of exponents (product, power, quotient, and zero rules)? HW: Worksheet 1.1 Simplifying Negative Exponents CW # 15 CW #16 Ex. 3 CW #17

Aim: How do we apply the laws of exponents (product, power, quotient, and zero rules)? HW: Worksheet 1.1 As a With Your Class Partner Ex. 4

Aim: How do we apply the laws of exponents (product, power, quotient, and zero rules)? HW: Worksheet 1.1 Ex. 10

Aim: How do we apply the laws of exponents (product, power, quotient, and zero rules)? HW: Worksheet 1.1

Aim: How do we apply the laws of exponents (product, power, quotient, and zero rules)? HW: Worksheet 1.1 Exit Ticket! Simplify each expression. 2) 1)

Aim: How do we apply the laws of exponents (product, power, quotient, and zero rules)? HW: Worksheet 1.1 Simplify each expression. 2) 1)

Aim: How do we apply the laws of exponents (product, power, quotient, and zero rules)? HW: Worksheet 1.1 Exit Ticket! Simplify using only positive exponents.

Aim: How do we apply the laws of exponents (product, power, quotient, and zero rules)? HW: Worksheet 1.1 Exit Ticket Simplify using only positive exponents.

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