Transcript Exploring Factor and Fractions

Chapter 4

Week 1 - 11/26

◦ M - 4.1 - Factors and
Monomials
◦ T - 4.2 - Powers and
Exponents
◦ B - 4.4 - Prime Factorization
◦ F - Quiz 4A

Week 2 - 12/3
◦ M - 4.5 - Greatest Common
Factor (GCF)
◦ T - 4.6 - Simplifying Fractions
◦ B - 4.7 - Least Common
Multiple/Denominator (LCD)
◦ F - Quiz 4B
Week 3 - 12/10
◦ M - 4.8 - Multiplying and
Dividing Monomials
◦ T - 4.9 - Negative Exponents
◦ B - Review for Test
◦ F - Chapter 4 Test

Week 4 - 12/17
◦
◦
◦
◦
◦
M - Final Exam Review
T - FINALS
W - FINALS
Th- FINALS
F - NO SCHOOL!!

OBJECTIVE: To determine if one number is a factor of

Warm-up:
another
◦ State whether each number is divisible by these factors:
2, 3, 4, 5, 6, 8, 9, or 10:
Multiples:
1. 862
2. 240
3. 111
4. 118
5. 876
6. 5,010
7. 39
Review Divisibility Rules

NOTES:
◦ The factors of a whole number divide that number
with a remainder of 0.
 For example, 4 is a factor of 12 because 12 = 4 x 3.
 Another way of saying that 3 is a factor of 12, is to say
that 12 is divisible by 3.
Homework
p173 (6-26 and 44-50
ALL)
“Recognizing Divisibility”
&
“Level 1 Exponents”
BOOK
KHAN


OBJECTIVE: To use powers and equations
Warm-up:
◦ State whether each number is divisible by 2, 3, 5, 6,
or 10:
1.
2.
3.
4.
5.
6.
7.
1
33
1,224
443,454
33,312
501
93
So, what is an “exponent”?
So, what is an “exponent”?
So, what is an “exponent”?
Homework
p177 (6-11 ALL
and 17 - 43 ODD)
“Level 2 Exponents”
&
“Prime Factorization”
BOOK
KHAN

Section A - Individual
◦ p187 (4-12 EVEN and 15 - 43 ODD)

Section B - Teacher
◦ 4.4 Prime Factorization videos and quizzes

Section C - Group
◦ “Divisibility Tests”
◦ “Prime Numbers”


OBJECTIVE: To identify prime and
composite numbers and write the prime
factorization of composite numbers
PRIME NUMBERS
FACTORING
Homework
p187 (4-12 EVEN
and 14 - 43 ODD)
“Prime Numbers”
&
“Divisibility Tests”
BOOK
KHAN

Week 1 - 11/26

◦ M - 4.1 - Factors and
Monomials
◦ T - 4.2 - Powers and
Exponents
◦ B - 4.4 - Prime Factorization
◦ F - Quiz 4A

Week 2 - 12/3
◦ M - 4.5 - Greatest Common
Factor (GCF)
◦ T - 4.6 - Simplifying Fractions
◦ B - 4.7 - Least Common
Multiple/Denominator (LCD)
◦ F - Quiz 4B
Week 3 - 12/10
◦ M - 4.8 - Multiplying and
Dividing Monomials
◦ T - 4.9 - Negative Exponents
◦ B - Review for Test
◦ F - Chapter 4 Test

Week 4 - 12/17
◦
◦
◦
◦
◦
M - Final Exam Review
T - FINALS
W - FINALS
Th- FINALS
F - NO SCHOOL!!


OBJECTIVE: To find the greatest common factor
of two or more integers and/or monomials
Warm-up:
◦ Prime Factor these numbers:
1.
2.
3.
4.
5.
108
117
-88
72x²y
-25xy³
1.
2.
3.
4.
5.
ANSWERS:
2∙2∙3∙3∙3
3∙3∙13
-1∙2∙2∙2∙11
2∙2∙2∙3∙3∙x∙x∙y
-1∙5∙5∙x∙y∙y∙y

NOTES:
GCF and Fractions

NOTES:
LCD and Fractions
Homework
p192-193 (12-36 EVEN)
BOOK
Greatest Common Divisor
&
Least Common Multiple
KHAN


OBJECTIVE: To simplify fractions using GCF
Warm-up:
◦ Prime Factor these problems:
1. 18
2. 20
3. 12
4. 20
5. 35
6. 45

NOTES:

Simplify:
Remember to SUBTRACT exponents when you divide!
Homework
P198 (6 - 42 EVEN)
Comparing Fractions 2
&
Ordering Fractions
BOOK
KHAN
4.5-4.7 MATH LAB
What are the numbers?
Section A - Individual Review
p 216
(10 - 56 EVEN)
Section B - In E2 Lab
Answer:
48
180
KHAN:
Equivalent fractions
Equivalent fractions 2


OBJECTIVE: To use the least common
multiple of two or more numbers and
compare fractions.
Warm-up:
◦ Write each fraction in simplest form:
1. 8/24
2. 15/25
ANSWERS:
3. 100/40
1. 1/3
4. 15x²/18xy
2.
3.
4.
3/5
5/2 or 2½
5x/6y

NOTES:

First Method:
MULTIPLE LIST
NOTES:
Second Method:
PRIME FACTORS
DON’T FORGET TO GROUP THEM UP!!

Week 1 - 11/26

◦ M - 4.1 - Factors and
Monomials
◦ T - 4.2 - Powers and
Exponents
◦ B - 4.4 - Prime Factorization
◦ F - Quiz 4A

Week 2 - 12/3
◦ M - 4.5 - Greatest Common
Factor (GCF)
◦ T - 4.6 - Simplifying Fractions
◦ B - 4.7 - Least Common
Multiple/Denominator (LCD)
◦ F - Quiz 4B
Week 3 - 12/10
◦ M - 4.8 - Multiplying and
Dividing Monomials
◦ T - 4.9 - Negative Exponents
◦ B - Review for Test
◦ F - Chapter 4 Test

Week 4 - 12/17
◦
◦
◦
◦
◦
M - Final Exam Review
T - FINALS
W - FINALS
Th- FINALS
F - NO SCHOOL!!


Period 1: D◦ 12.25 - 61%
◦ KHAN ENERGY POINTS - 1,189,428
 Behind by 582,465 points
Period 2: F
◦ 11.25 - 56%
◦ KHAN ENERGY POINTS - 1,067,528
 Behind by 704,365 points

Period 3: C+
◦ 15.5 - 78%
◦ KHAN ENERGY POINTS - 1,771,893


OBJECTIVE: To multiply and divide
monomials
Warm-up:
◦ Find the GCF and LCM of each pair of numbers:
1. 8
&
24
ANSWERS:
2. 15
&
25
1. GCF - 8
3. 100 &
20
LCM - 24
4. 15x² &
18xy
2.
3.
4.
GCF - 5
LCM - 75
GCF- 20
LCM - 100
GCF- 3x
LCM - 90x²y

NOTES: Dividing Exponents

NOTES: Dividing Exponents

NOTES: Dividing Exponents

NOTES: Dividing Exponents
PRACTICE
P207 (5-12 ALL
&
14-36 EVEN)
BOOK
TO BE PROFICIENT IN:
1. 4.1 - Recognizing
Divisibility
2. 4.1 - Level 1 Exponents
3. 4.2 - Level 2 Exponents
4. 4.2 - Prime Factorization
5. 4.4 - Prime Numbers
6. 4.4 - Divisibility Test
KHAN

OBJECTIVE: To use negative exponents in
expression and equations

NOTES:

NOTES:

NOTES:
PRACTICE
P212 (4-11 ALL
&
13 - 35 ODD)
BOOK
TO BE PROFICIENT IN:
1. 4.5 - Greatest Common
Divisor
2. 4.5 - Least Common
Multiple
3. 4.6 - Comparing Fractions 2
4. 4.6 - Ordering Fractions
5. 4.7 - Equivalent Fractions 1
6. 4.7 - Equivalent Fractions 2
KHAN
MATH LAB
Chapter 4 Review
Section A – Mr. Kruska
Quiz Reviews
p 777
(1-25 ALL)
Section B - In E2 Lab
KHAN:
Finish your 12 Assignment to
PROFICIENT!