Math 8Chapter 1Lesson3 page 23

Page 23

Essential Question: Why is it helpful to write numbers in different ways?

Common Core State Standards:8.EE.1

Mathematical Practices:1,3,4, 7

I can simplify real number expressions by multiplying and dividing monomials.

Without Calculators

Engage

Vocabulary

Notes

Vocabulary Words Numbers Symbols

monomial A number, a variable, or a product of a number and one or more variables.

Product of Powers

To multiply powers with the same base, add their exponents.

32*34 = 32+4=36

Quotient of Powers

To divide powers with the same base, subtract their exponents.

57

____ = 57-4 = 53

54

Notes

Explore/Explain

Chart

ActivityMonomial/Polynomial

Power to a power:

http://www.learnalberta.ca/content/mejhm/index.html?l=0&ID1=AB.MATH.JR.NUMB&ID2=AB.MATH.JR.NUMB.EXPO&lesson=html/object_interactives/exponent_laws/use_it.html

Examples - CompleteProblem Answer

52*5

c3*c5

-3x2*4x5

48

____ = 42

n9

____ = n4

25*35*52

__________ = 22*34*5

Examples - CompleteProblem Answer

52*5 52+1 = 53

c3*c5 c3+5 = c8

-3x2*4x5 (-3*4)(x2*x5) = -12(x2+5) = -12x7

48

____ = 42

48-2 = 46

n9

____ = n4

n9-4 = n5

25*35*52

__________ = 22*34*5

(25-2)*(35-4)*(52-1) = 23*31*51 = 8*3*5 = 120

Elaborate

Guided Practice

Guided Practice page 26

ODD Problems and Answers

Guided Practice Page 26

Guided Practice Page 26

Guided Practice Page 26

Guided Practice Page 26

Guided Practice page 26

EVEN Answers

Guided Practice Page 26 - Even

2. -6a5

4. k3

6. (-3) 2 * (-4) 2 * 5 or 720

8. If multiplication or division expression contain powers with the same base, you can use the properties to simplify before you multiply or divide.

Explore/Explain

Got It Problems

Got It A-C Problems page 24

Simplify

A. 93 * 92

B. a3 * a2

C. -2m(-8m5)

Got It A-C Answers page 24

Simplify

A. 93 * 92 = 93+2 = 95 or 9*9*9*9*9 =59,049

B. a3 * a2 = a3+2 or = a5

C. -2m(-8m5) = (-2 * -8)*(m*m5) = 16*m1+5

= 16m6

Got It D-I Problems page 24

Got It D Answer page 24

Got It E Answer page 24

Got It F Answer page 24

Got It G Answer page 24

Got It H Answer page 24

Got It I Answer page 24

Evaluate

Classwork Activities

Classwork1. Find Someone Who

Grade/Collect

2. Extra Practice pgs 29-30 FSW(20 problems – 20 minutes)

Exchange and grade

3. WorksheetsPreAlgw/pizzazpg62

Algw/pizzazpg8

4. Foldable – File in FolderFrom Text page FL3

5. Initial Activity 5=A, 1 minute timer

Homework

Independent Practice pages 27-28