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Chapter 4

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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!!

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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: 1.862 2.240 3.111 4.118 5.876 6.5,010 7.39

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Review Divisibility Rules

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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.

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BOOKKHAN p173 (6-26 and 44-50 ALL) “Recognizing Divisibility” & “Level 1 Exponents” Homework

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OBJECTIVE: To use powers and equations Warm-up: ◦ State whether each number is divisible by 2, 3, 5, 6, or 10: 1.1 2.33 3.1,224 4.443,454 5.33,312 6.501 7.93

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So, what is an “exponent”?

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BOOKKHAN p177 (6-11 ALL and 17 - 43 ODD) “Level 2 Exponents” & “Prime Factorization” Homework

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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”

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

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BOOKKHAN p187 (4-12 EVEN and 14 - 43 ODD) “Prime Numbers” & “Divisibility Tests” Homework

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WWeek 1 - 11/26 ◦M◦M - 4.1 - Factors and Monomials ◦T◦T - 4.2 - Powers and Exponents ◦B◦B - 4.4 - Prime Factorization ◦F◦F - Quiz 4A WWeek 2 - 12/3 ◦M◦M - 4.5 - Greatest Common Factor (GCF) ◦T◦T - 4.6 - Simplifying Fractions ◦B◦B - 4.7 - Least Common Multiple/Denominator (LCD) ◦F◦F - Quiz 4B WWeek 3 - 12/10 ◦M◦M - 4.8 - Multiplying and Dividing Monomials ◦T◦T - 4.9 - Negative Exponents ◦B◦B - Review for Test ◦F◦F - Chapter 4 Test WWeek 4 - 12/17 ◦M◦M - Final Exam Review ◦T◦T - FINALS ◦W◦W - FINALS ◦T◦Th- FINALS ◦F◦F - NO SCHOOL!!

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OBJECTIVE: To find the greatest common factor of two or more integers and/or monomials Warm-up: ◦ Prime Factor these numbers: 1.108 2.117 3.-88 4.72x²y 5.-25xy ³ ANSWERS: 1.2∙2∙3∙3∙3 2.3∙3∙13 3.-1∙2∙2∙2∙11 4.2∙2∙2∙3∙3∙x∙x∙y 5.-1∙5∙5∙x∙y∙y∙y

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NOTES: GCF and Fractions

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NOTES: LCD and Fractions

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BOOKKHAN p192-193 (12-36 EVEN) Greatest Common Divisor & Least Common Multiple Homework

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OBJECTIVE: To simplify fractions using GCF Warm-up: ◦ Prime Factor these problems: 1.18 2.20 3.12 4.20 5.35 6.45

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NOTES:

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Simplify: Remember to SUBTRACT exponents when you divide!

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BOOKKHAN P198 (6 - 42 EVEN) Comparing Fractions 2 & Ordering Fractions Homework

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What are the numbers? Answer: 48 180 Section A - Individual Review p 216 (10 - 56 EVEN) Section B - In E2 Lab KHAN: Section A - Individual Review p 216 (10 - 56 EVEN) Section B - In E2 Lab KHAN: Equivalent fractions Equivalent fractions 2 4.5-4.7 MATH LAB

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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 3.100/40 4.15x ² /18xy ANSWERS: 1.1/3 2.3/5 3.5/2 or 2½ 4.5x/6y

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

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WWeek 1 - 11/26 ◦M◦M - 4.1 - Factors and Monomials ◦T◦T - 4.2 - Powers and Exponents ◦B◦B - 4.4 - Prime Factorization ◦F◦F - Quiz 4A WWeek 2 - 12/3 ◦M◦M - 4.5 - Greatest Common Factor (GCF) ◦T◦T - 4.6 - Simplifying Fractions ◦B◦B - 4.7 - Least Common Multiple/Denominator (LCD) ◦F◦F - Quiz 4B WWeek 3 - 12/10 ◦M◦M - 4.8 - Multiplying and Dividing Monomials ◦T◦T - 4.9 - Negative Exponents ◦B◦B - Review for Test ◦F◦F - Chapter 4 Test WWeek 4 - 12/17 ◦M◦M - Final Exam Review ◦T◦T - FINALS ◦W◦W - FINALS ◦T◦Th- FINALS ◦F◦F - NO SCHOOL!!

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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

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OBJECTIVE: To multiply and divide monomials Warm-up: ◦ Find the GCF and LCM of each pair of numbers: 1.8 & 24 2.15 & 25 3.100 & 20 4.15x ² & 18xy ANSWERS: 1.GCF - 8 LCM - 24 2.GCF - 5 LCM - 75 3.GCF- 20 LCM - 100 4.GCF- 3x LCM - 90x ² y

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NOTES: Dividing Exponents

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NOTES: NOTES: Dividing Exponents

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NOTES: NOTES: Dividing Exponents

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NOTES: NOTES: Dividing Exponents

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BOOKKHAN P207 (5-12 ALL & 14-36 EVEN) PROFICIENT 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 PRACTICE

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OBJECTIVE: To use negative exponents in expression and equations

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NOTES:

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BOOKKHAN P212 (4-11 ALL & 13 - 35 ODD) PROFICIENT 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 PRACTICE

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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

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Chapter 4 Jeopardy Divisibility and factors Prime Factorization GCF Simplify Fractions Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400.

Chapter 4 Jeopardy Divisibility and factors Prime Factorization GCF Simplify Fractions Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400.

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