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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!