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Understanding Common Denominators and Equivalent Fractions in Mathematics

This educational resource focuses on the concepts of common denominators and equivalent fractions. Students will learn how multiples relate to common denominators and how to determine equivalent fractions. Various activities, including measuring objects and practical quizzes, will enhance understanding. Multimedia resources such as engaging videos are included to reinforce learning. By the end of this module, students will be able to model, explain, and apply their knowledge of these essential mathematical concepts.

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Understanding Common Denominators and Equivalent Fractions in Mathematics

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  1. Review Factors – Multiples – Prime Numbers Learn Alberta http://www.learnalberta.ca/content/mesg/html/math6web/index.html?page=lessons&lesson=m6lessonshell07.swf

  2. Activity Let’s add and subtract mixed numbers

  3. Videos Ways to Measure • Day 1 • http://www.youtube.com/watch?v=9caqSJ4sN8Y • Day 2 • http://www.youtube.com/watch?v=mKarbrOme_Y • Day 3 • http://www.youtube.com/watch?v=UUZ517r3PYk

  4. Activity Let’s Measure Objects • Measure your shoe • Measure your pencil • Measure your textbook • Measure you desk top • Find a friend 5 different times and measure 5 different objects.

  5. Common Denominators Student Outcome: I will learn about multiples and how it relates to common denominators • What is a common denominator?

  6. Common Denominators Student Outcome: I will learn about multiples and how it relates to common denominators • What is a common denominator?

  7. Common Denominators Student Outcome: I will learn about multiples and how it relates to common denominators • What is a common denominator?

  8. Determine the “Equivalent Fraction” Student Outcome: I will be able to model and explain equivalent fractions • Which of the models below are examples of common denominators?

  9. Determine the “Equivalent Fraction” Student Outcome: I will be able to model and explain equivalent fractions • Which of the models below are examples of common denominators?

  10. Equivalent Fractions Equivalent Fractions http://www.learnalberta.ca/content/memg/index.html?term=Division03/Equivalent_Fractions/index.html

  11. Modelling Equivalent Fractions Student Outcome: I will be able to model and explain equivalent fractions • How can you make the fraction into more equal parts (a larger, but equal fraction) • Multiples: the product of a given number and a natural number like 1,2,3,... • Example: multiples of 2 are 4,6,8,10,...

  12. Make Equivalent Fractions Student Outcome: I will be able to model and explain equivalent fractions • Make equivalent for the examples below. • 1. • 2. 1 = 3 = 6 = = 12 = 15 • 3 9 12 27 36 Fill in the correct numerator and denominator. One fraction is incorrect when compared to 1/3. Which one? Why?

  13. Make Equivalent Fractions Student Outcome: I will be able to model and explain equivalent fractions • Make equivalent for the examples below. • 1. • 2. = = = = =

  14. Make Equivalent Fractions Student Outcome: I will be able to model and explain equivalent fractions • Make equivalent for the examples below. • 1. 4 = = = = • 5 • 2. 2 = = = = • 3 • Have you notice a pattern (rule) of equivalent fractions? • Hint…denominators and numerators

  15. Make Equivalent Fractions Student Outcome: I will be able to model and explain equivalent fractions Using Pattern Blocks make equivalent fractions for: 142 2 6 3

  16. Homework • Page 234-235: • 2,11,14,19,20 • 12b,d 2,5,6,10,11,14 • 2,5,6,9,10,12a,c

  17. Practical Quiz #1

  18. Adding Fractions of Different Denominators Student Outcome: I will understand adding fractions with different (unlike) denominators. Multiples http://www.learnalberta.ca/content/memg/index.html?term=Division03/Multiple/index.html Common Multiples http://www.learnalberta.ca/content/memg/index.html?term=Division03/Common_Multiple/index.html

  19. Adding Fractions of Different Denominators Student Outcome: I will understand adding fractions with different (unlike) denominators. • You will be able to model and understand how to add fractions of different denominators • 1 + 1 • 2 3 • How can you add the two fractions together if they are NOT equal • sections (denominators)? Hint…find the lowest common multiple! New Addition Fraction Statement

  20. Adding Fractions of Different Denominators Student Outcome: I will understand adding fractions with different (unlike) denominators. • You will be able to model and understand how to add fractions of different denominators • 1 + 1 • 2 3 • How can you add the two fractions together if they are NOT equal • sections (denominators)? Hint…find the lowest common multiple! New Addition Fraction Statement + 2 6 6

  21. Adding Fractions of Different Denominators Student Outcome: I will understand adding fractions with different (unlike) denominators. • You will be able to model and understand how to add fractions of different denominators • + • How can you add the two fractions together if they are NOT equal • sections (denominators)? Hint…find the lowest common multiple! New Addition Fraction Statement

  22. Adding Fractions of Different Denominators Student Outcome: I will understand adding fractions with different (unlike) denominators. • You will be able to model and understand how to add fractions of different denominators • + • How can you add the two fractions together if they are NOT equal • sections (denominators)? Hint…find the lowest common multiple! New Addition Fraction Statement

  23. What have you NOTICED??? • When adding fractions of different denominators the rules are…

  24. What have you NOTICED??? • When adding fractions of different denominators the rules are… • Both denominators must be the same • Find the lowest common denominator (multiple) • The numerators are multiplied by the same # it’s denominator is multiplied by.

  25. What have you NOTICED??? • When adding fractions of different denominators the rules are… • Both denominators must be the same • Find the lowest common denominator (multiple) • The numerators are multiplied by the same # it’s denominator is multiplied by.

  26. Write the Subtraction or Addition Statement • a) _ • b) • + • c) • _

  27. Write the Subtraction or Addition Statement • a) • b) • c)

  28. Write the Subtraction or Addition Statement • a) • b) • c)

  29. Homework • Page 242-243 • 5a,8b,9c,15,19a,22 • 16 3,6cd,9be,14,19a • 21 • 3,4,6ace,9,11ace

  30. Practical Quiz #2 On the front On the back

  31. Mixed Numbers Learn Alberta – Mixed Numbers and Improper Fractions http://www.learnalberta.ca/content/mesg/html/math6web/index.html?page=lessons&lesson=m6lessonshell02.swf

  32. Mixed Numbers Student Outcome: I will learn the relationship between mixed numbers and improper fractions. What is a mixed number? : contains a whole number with a fraction. : is the cousin of the improper fraction. 3 6 1 9 6 = How? Use pattern blocks to try and prove!!! How did you show this?

  33. Mixed Numbers Student Outcome: I will learn the relationship between mixed numbers and improper fractions. 3 6 9 6 1 =

  34. Mixed Numbers Student Outcome: I will learn the relationship between mixed numbers and improper fractions. What is a mixed number? : contains a whole number with a fraction. : is the cousin of the improper fraction. 3 1 2 7 2 = Use pattern blocks to try and prove!!! How did you show this?

  35. Mixed Numbers Student Outcome: I will learn the relationship between mixed numbers and improper fractions. 1 2 7 2 3 =

  36. Mixed Numbers Student Outcome: I will learn the relationship between mixed numbers and improper fractions. 2 2 3 8 3 =

  37. Improper Fractions Mixed Numbers Student Outcome: I will learn the relationship between mixed numbers and improper fractions. 23 = 6 18 = 5

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