Chapter 4

 Week /26 ◦ M Factors and Monomials ◦ T Powers and Exponents ◦ B Prime Factorization ◦ F - Quiz 4A  Week /3 ◦ M Greatest Common Factor (GCF) ◦ T Simplifying Fractions ◦ B Least Common Multiple/Denominator (LCD) ◦ F - Quiz 4B  Week /10 ◦ M Multiplying and Dividing Monomials ◦ T Negative Exponents ◦ B - Review for Test ◦ F - Chapter 4 Test  Week /17 ◦ M - Final Exam Review ◦ T - FINALS ◦ W - FINALS ◦ Th- FINALS ◦ F - NO SCHOOL!!

factor  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: ,

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.

BOOKKHAN p173 (6-26 and 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: , , ,

So, what is an “exponent”?

BOOKKHAN p177 (6-11 ALL and ODD) “Level 2 Exponents” & “Prime Factorization” Homework

 Section A - Individual ◦ p187 (4-12 EVEN and 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 NUMBERSFACTORING

BOOKKHAN p187 (4-12 EVEN and ODD) “Prime Numbers” & “Divisibility Tests” Homework

WWeek /26 ◦M◦M Factors and Monomials ◦T◦T Powers and Exponents ◦B◦B Prime Factorization ◦F◦F - Quiz 4A WWeek /3 ◦M◦M Greatest Common Factor (GCF) ◦T◦T Simplifying Fractions ◦B◦B Least Common Multiple/Denominator (LCD) ◦F◦F - Quiz 4B WWeek /10 ◦M◦M Multiplying and Dividing Monomials ◦T◦T Negative Exponents ◦B◦B - Review for Test ◦F◦F - Chapter 4 Test WWeek /17 ◦M◦M - Final Exam Review ◦T◦T - FINALS ◦W◦W - FINALS ◦T◦Th- FINALS ◦F◦F - NO SCHOOL!!

 OBJECTIVE: To find the greatest common factor of two or more integers and/or monomials  Warm-up: ◦ Prime Factor these numbers: x²y 5.-25xy ³ ANSWERS: 1.2∙2∙3∙3∙3 2.3∙3∙ ∙2∙2∙2∙11 4.2∙2∙2∙3∙3∙x∙x∙y 5.-1∙5∙5∙x∙y∙y∙y

 NOTES: GCF and Fractions

 NOTES: LCD and Fractions

BOOKKHAN p (12-36 EVEN) Greatest Common Divisor & Least Common Multiple Homework

 OBJECTIVE: To simplify fractions using GCF  Warm-up: ◦ Prime Factor these problems:

 NOTES:

 Simplify: Remember to SUBTRACT exponents when you divide!

BOOKKHAN P198 ( EVEN) Comparing Fractions 2 & Ordering Fractions Homework

What are the numbers? Answer: Section A - Individual Review p 216 ( EVEN) Section B - In E2 Lab KHAN: Section A - Individual Review p 216 ( EVEN) Section B - In E2 Lab KHAN: Equivalent fractions Equivalent fractions 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/ / / x ² /18xy ANSWERS: 1.1/3 2.3/5 3.5/2 or 2½ 4.5x/6y

First Method: MULTIPLE LIST Second Method: PRIME FACTORS  NOTES: DON’T FORGET TO GROUP THEM UP!!

WWeek /26 ◦M◦M Factors and Monomials ◦T◦T Powers and Exponents ◦B◦B Prime Factorization ◦F◦F - Quiz 4A WWeek /3 ◦M◦M Greatest Common Factor (GCF) ◦T◦T Simplifying Fractions ◦B◦B Least Common Multiple/Denominator (LCD) ◦F◦F - Quiz 4B WWeek /10 ◦M◦M Multiplying and Dividing Monomials ◦T◦T Negative Exponents ◦B◦B - Review for Test ◦F◦F - Chapter 4 Test WWeek /17 ◦M◦M - Final Exam Review ◦T◦T - FINALS ◦W◦W - FINALS ◦T◦Th- FINALS ◦F◦F - NO SCHOOL!!

 Period 1: D- ◦ % ◦ KHAN ENERGY POINTS - 1,189,428  Behind by 582,465 points  Period 2: F ◦ % ◦ KHAN ENERGY POINTS - 1,067,528  Behind by 704,365 points  Period 3: C+ ◦ % ◦ 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 & & & x ² & 18xy ANSWERS: 1.GCF - 8 LCM GCF - 5 LCM GCF- 20 LCM GCF- 3x LCM - 90x ² y

 NOTES: Dividing Exponents

 NOTES:  NOTES: Dividing Exponents

 NOTES:  NOTES: Dividing Exponents

 NOTES:  NOTES: Dividing Exponents

BOOKKHAN P207 (5-12 ALL & EVEN) PROFICIENT TO BE PROFICIENT IN: Recognizing Divisibility Level 1 Exponents Level 2 Exponents Prime Factorization Prime Numbers Divisibility Test PRACTICE

 OBJECTIVE: To use negative exponents in expression and equations

 NOTES:

BOOKKHAN P212 (4-11 ALL & ODD) PROFICIENT TO BE PROFICIENT IN: Greatest Common Divisor Least Common Multiple Comparing Fractions Ordering Fractions Equivalent Fractions Equivalent Fractions 2 PRACTICE

Section A – Mr. Kruska Quiz Reviews p 777 (1-25 ALL) Section B - In E2 Lab KHAN: Section A – Mr. Kruska Quiz Reviews p 777 (1-25 ALL) Section B - In E2 Lab KHAN: Finish your 12 Assignment to PROFICIENT! MATH LAB Chapter 4 Review