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Exploring Factors and Fractions

Exploring Factors and Fractions. Chapter 4. Chapter 4: Exploring Factors and Fractions. 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)

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Exploring Factors and Fractions

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  1. Exploring Factors and Fractions Chapter 4

  2. Chapter 4:Exploring Factors and Fractions • 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!!

  3. 4.1 Factors and Monomials • 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: • 862 • 240 • 111 • 118 • 876 • 5,010 • 39

  4. Review Divisibility Rules Game Time!

  5. 4.1 Factors and Monomials • 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.

  6. 4.1 Factors and Monomials Homework  p173 (6-26 and 44-50 ALL) “Recognizing Divisibility” & “Level 1 Exponents” BOOK KHAN

  7. 4.2 Powers and Exponents • OBJECTIVE: To use powers and equations • Warm-up: • State whether each number is divisible by 2, 3, 5, 6, or 10: • 1 • 33 • 1,224 • 443,454 • 33,312 • 501 • 93

  8. 4.2 Powers and Exponents So, what is an “exponent”?

  9. 4.2 Powers and Exponents So, what is an “exponent”?

  10. 4.2 Powers and Exponents So, what is an “exponent”?

  11. 4.2 Powers and Exponents

  12. 4.2 Powers and Exponents Homework  p177 (6-11 ALL and 17 - 43 ODD) “Level 2 Exponents” & “Prime Factorization” BOOK KHAN

  13. MATH LAB:4.4 Prime Factorization • 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”

  14. MATH LAB:4.4 Prime Factorization • OBJECTIVE: To identify prime and composite numbers and write the prime factorization of composite numbers • PRIME NUMBERSFACTORING

  15. 4.4 Prime Factorization Homework p187 (4-12 EVEN and 14 - 43 ODD) “Prime Numbers” & “Divisibility Tests” BOOK KHAN

  16. Chapter 4:Exploring Factors and Fractions • 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!!

  17. 4.5 Greatest Common Factor (GCF) • OBJECTIVE: To find the greatest common factor of two or more integers and/or monomials • Warm-up: • Prime Factor these numbers: • 108 • 117 • -88 • 72x²y • -25xy³ 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

  18. 4.5 Greatest Common Factor (GCF) • NOTES: GCF and Fractions

  19. 4.5 Greatest Common Factor (GCF) • NOTES: LCD and Fractions

  20. 4.5 Greatest Common Factor (GCF) Homework p192-193 (12-36 EVEN) Greatest Common Divisor & Least Common Multiple BOOK KHAN

  21. 4.6 Simplifying Fractions • OBJECTIVE: To simplify fractions using GCF • Warm-up: • Prime Factor these problems: • 18 • 20 • 12 • 20 • 35 • 45

  22. 4.6 Simplifying Fractions • NOTES:

  23. 4.6 Simplifying Fractions • Simplify: Remember to SUBTRACT exponents when you divide!

  24. 4.6 Simplifying Fractions Homework P198 (6 - 42 EVEN) Comparing Fractions 2 & Ordering Fractions BOOK KHAN

  25. 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

  26. 4.7 Using the Least Common Multiple (LCM) • OBJECTIVE: To use the least common multiple of two or more numbers and compare fractions. • Warm-up: • Write each fraction in simplest form: • 8/24 • 15/25 • 100/40 • 15x²/18xy ANSWERS: 1/3 3/5 5/2 or 2½ 5x/6y

  27. 4.7 Using the Least Common Multiple (LCM) • NOTES: • NOTES: First Method: MULTIPLE LIST Second Method: PRIME FACTORS DON’T FORGET TO GROUP THEM UP!!

  28. Chapter 4:Exploring Factors and Fractions • 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!!

  29. Quiz 4B - Summary • 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

  30. 4.8 Multiplying and Dividing Monomials • OBJECTIVE: To multiply and divide monomials • Warm-up: • Find the GCF and LCM of each pair of numbers: • 8 & 24 • 15 & 25 • 100 & 20 • 15x² & 18xy • ANSWERS: • GCF - 8 • LCM - 24 • GCF - 5 • LCM - 75 • GCF- 20 • LCM - 100 • GCF- 3x • LCM - 90x²y

  31. 4.8 Multiplying and Dividing Monomials • NOTES: Dividing Exponents

  32. 4.8 Multiplying and Dividing Monomials • NOTES: • NOTES: Dividing Exponents

  33. 4.8 Multiplying and Dividing Monomials • NOTES: • NOTES: Dividing Exponents

  34. 4.8 Multiplying and Dividing Monomials • NOTES: • NOTES: Dividing Exponents

  35. 4.8 Multiplying and Dividing Monomials PRACTICE P207 (5-12 ALL & 14-36 EVEN) TO BE PROFICIENT IN: • 4.1 - Recognizing Divisibility • 4.1 - Level 1 Exponents • 4.2 - Level 2 Exponents • 4.2 - Prime Factorization • 4.4 - Prime Numbers • 4.4 - Divisibility Test BOOK KHAN

  36. 4.9 Negative Exponents • OBJECTIVE: To use negative exponents in expression and equations

  37. 4.9 Negative Exponents • NOTES:

  38. 4.9 Negative Exponents • NOTES:

  39. 4.9 Negative Exponents • NOTES:

  40. 4.9 Negative Exponents PRACTICE P212 (4-11 ALL & 13 - 35 ODD) TO BE PROFICIENTIN: • 4.5 - Greatest Common Divisor • 4.5 - Least Common Multiple • 4.6 - Comparing Fractions 2 • 4.6 - Ordering Fractions • 4.7 - Equivalent Fractions 1 • 4.7 - Equivalent Fractions 2 BOOK KHAN

  41. Section A – Mr. KruskaQuiz Reviewsp 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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