Exploring Factors 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!!

Chapter 4:Exploring Factors and Fractions

OBJECTIVE: To determine if one number is a factor of another

Warm-up:◦ State whether each number is divisible by these factors:

2, 3, 4, 5, 6, 8, 9, or 10:

Multiples:1. 8622. 2403. 1114. 1185. 8766. 5,0107. 39

4.1 Factors and Monomials

Review Divisibility Rules

Game Time!

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.

4.1 Factors and Monomials

4.1 Factors and Monomials

BOOK KHAN

 p173 (6-26 and 44-50 ALL)

“Recognizing Divisibility”&

“Level 1 Exponents”

Homework

OBJECTIVE: To use powers and equations Warm-up:

◦ State whether each number is divisible by 2, 3, 5, 6, or 10:

1. 12. 333. 1,2244. 443,4545. 33,3126. 5017. 93

4.2 Powers and Exponents

4.2 Powers and ExponentsSo, what is an “exponent”?

4.2 Powers and ExponentsSo, what is an “exponent”?

4.2 Powers and ExponentsSo, what is an “exponent”?

4.2 Powers and Exponents

4.2 Powers and Exponents

BOOK KHAN

 p177 (6-11 ALL and 17 - 43 ODD)

“Level 2 Exponents”&

“Prime Factorization”

Homework

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”

MATH LAB:4.4 Prime Factorization

OBJECTIVE: To identify prime and composite numbers and write the prime factorization of composite numbers

PRIME NUMBERS FACTORING

MATH LAB:4.4 Prime Factorization

4.4 Prime Factorization

BOOK KHAN

p187 (4-12 EVEN and 14 - 43 ODD)

“Prime Numbers” &

“Divisibility Tests”

Homework

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!!

Chapter 4:Exploring Factors and Fractions

OBJECTIVE: To find the greatest common factor of two or more integers and/or monomials

Warm-up:◦Prime Factor these numbers:1. 1082. 1173. -884. 72x²y5. -25xy³

4.5 Greatest Common Factor (GCF)

ANSWERS:1. 2∙2∙3∙3∙32. 3∙3∙133. -1∙2∙2∙2∙114. 2∙2∙2∙3∙3∙x∙x∙y5. -1∙5∙5∙x∙y∙y∙y

NOTES:

4.5 Greatest Common Factor (GCF)

GCF and Fractions

NOTES:

4.5 Greatest Common Factor (GCF)

LCD and Fractions

4.5 Greatest Common Factor (GCF)

BOOK KHAN

p192-193 (12-36 EVEN) Greatest Common Divisor &

Least Common Multiple

Homework

OBJECTIVE: To simplify fractions using GCF

Warm-up:◦ Prime Factor these problems:1. 182. 203. 124. 205. 356. 45

4.6 Simplifying Fractions

NOTES:

4.6 Simplifying Fractions

Simplify:

Remember to SUBTRACT exponents when you divide!

4.6 Simplifying Fractions

4.6 Simplifying Fractions

BOOK KHAN

P198 (6 - 42 EVEN) Comparing Fractions 2 & 

Ordering Fractions

Homework

What are the numbers?

Answer: 48 180

Section A - Individual Reviewp 216

(10 - 56 EVEN)

Section B - In E2 Lab KHAN:

Equivalent fractions Equivalent fractions 2

4.5-4.7 MATH LAB

OBJECTIVE: To use the least common multiple of two or more numbers and compare fractions.

Warm-up:◦ Write each fraction in simplest form:1. 8/242. 15/253. 100/40

4. 15x²/18xy

4.7 Using the Least Common Multiple (LCM)

ANSWERS:1. 1/32. 3/53. 5/2 or 2½4. 5x/6y

4.7 Using the Least Common Multiple (LCM)

First Method:MULTIPLE LIST

Second Method: PRIME FACTORS

NOTES: NOTES:

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!!

Chapter 4:Exploring Factors and Fractions

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

Quiz 4B - Summary

OBJECTIVE: To multiply and divide monomials

Warm-up:◦ Find the GCF and LCM of each pair of numbers:1. 8 & 242. 15 & 253. 100 & 20

4. 15x² & 18xy

4.8 Multiplying and Dividing Monomials

ANSWERS:1. GCF - 8

LCM - 242. GCF - 5

LCM - 753. GCF- 20

LCM - 1004. GCF- 3x

LCM - 90x²y

NOTES: Dividing Exponents

4.8 Multiplying and Dividing Monomials

NOTES:

4.8 Multiplying and Dividing Monomials NOTES: Dividing Exponents

NOTES:

4.8 Multiplying and Dividing Monomials NOTES: Dividing Exponents

NOTES:

4.8 Multiplying and Dividing Monomials NOTES: Dividing Exponents

4.8 Multiplying and Dividing Monomials

BOOK KHAN

P207 (5-12 ALL &

14-36 EVEN)

TO BE PROFICIENT IN:1. 4.1 - Recognizing

Divisibility2. 4.1 - Level 1

Exponents3. 4.2 - Level 2

Exponents4. 4.2 - Prime

Factorization5. 4.4 - Prime Numbers 6. 4.4 - Divisibility Test

PRACTICE

OBJECTIVE: To use negative exponents in expression and equations

4.9 Negative Exponents

NOTES:

4.9 Negative Exponents

NOTES:

4.9 Negative Exponents

NOTES:

4.9 Negative Exponents

4.9 Negative Exponents

BOOK KHAN

P212 (4-11 ALL &

13 - 35 ODD)

TO BE PROFICIENT IN:1. 4.5 - Greatest Common

Divisor2. 4.5 - Least Common

Multiple3. 4.6 - Comparing Fractions

2 4. 4.6 - Ordering Fractions 5. 4.7 - Equivalent Fractions 16. 4.7 - Equivalent Fractions 2

PRACTICE

Section A – Mr. Kruska Quiz Reviews

p 777 (1-25 ALL)

Section B - In E2 Lab KHAN:

Finish your 12 Assignment to

PROFICIENT!

MATH LABChapter 4 Review