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Comparing & Ordering Fractions

Comparing & Ordering Fractions. Essential Question: How can I compare and order fractions with like and unlike denominators? Common Core Objective/Student Friendly Terms:

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Comparing & Ordering Fractions

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  1. Comparing & Ordering Fractions

  2. Essential Question: How can I compare and order fractions with like and unlike denominators? Common Core Objective/Student Friendly Terms: (4.NF.2 & 5.NF.1) Students will be able to compare and order sets of two, three, and four fractions with like and unlike denominators with at least 80% accuracy. Comparing & Ordering Fractions

  3. Comparing & Ordering Fractions • Vocabulary: • Numerator– the “top” number in a fraction. • Denominator – the “bottom” number in a fraction. • Least Common Denominator (LCD) – a common multiple between fractions with unlike denominators. • Mixed Number – a number containing a fraction and whole number. • Improper Fraction – a fraction with a numerator that is larger than the denominator.

  4. Lets talk about pizza…yummy… Meet Joe the Pizza Man Comparing & Ordering Fractions

  5. Comparing & Ordering Fractions Lets talk about pizza…yummy… Here is the pizza Joe was just holding up. How many slices are there? So we could say this pizza is cut into _____? And if I eat this slice I have eaten how much?

  6. Comparing & Ordering Fractions Lets talk about pizza…yummy… How much of this pizza did I eat? How do you know that?

  7. Comparing & Ordering Fractions Lets talk about pizza…yummy… How much of this pizza did I eat? How do you know that?

  8. Comparing & Ordering Fractions Why do I need this…where will I ever see it again?

  9. Comparing Like Denominators Example 1:Replace each □ with <, >, or = to make a true sentence. Comparing & Ordering Fractions a) 1/4 □ 3/4 b) 5/10 □ 3/10

  10. Comparing Like Denominators Example 1:Replace each □ with <, >, or = to make a true sentence. Comparing & Ordering Fractions a) 1/4 □ 3/4 b) 5/10 □ 3/10

  11. Comparing Like Denominators Example 1:Replace each □ with <, >, or = to make a true sentence. Comparing & Ordering Fractions a) 1/4 □ 3/4 b) 5/10 □ 3/10 ¼ ¾ <

  12. Comparing Like Denominators Example 1:Replace each □ with <, >, or = to make a true sentence. Comparing & Ordering Fractions a) 1/4 □ 3/4 b) 5/10 □ 3/10 ¼ ¾ <

  13. Comparing Like Denominators Example 1:Replace each □ with <, >, or = to make a true sentence. Comparing & Ordering Fractions a) 1/4 □ 3/4 b) 5/10 □ 3/10 3 5 ¼ ¾ < > 10 10

  14. Comparing Unlike Denominators Example 2:Replace each □ with <, >, or = to make a true sentence. Comparing & Ordering Fractions a) 1/2 □ 3/8 b) 1/4 □ 9/12

  15. Comparing Unlike Denominators Example 2:Replace each □ with <, >, or = to make a true sentence. Comparing & Ordering Fractions a) 1/2 □ 3/8 b) 1/4 □ 9/12

  16. Comparing Unlike Denominators Example 2:Replace each □ with <, >, or = to make a true sentence. Comparing & Ordering Fractions a) 1/2 □ 3/8 b) 1/4 □ 9/12 First, we need to find aCOMMON DENOMINATORso we can rewrite the fraction using equivalent denominators.

  17. Comparing Unlike Denominators Example 2:Replace each □ with <, >, or = to make a true sentence. Comparing & Ordering Fractions a) 1/2 □ 3/8 b) 1/4 □ 9/12 First, we need to find aCOMMON DENOMINATORso we can rewrite the fraction using equivalent denominators. This is why we learned how to find common multiples

  18. Comparing Unlike Denominators Example 2:Replace each □ with <, >, or = to make a true sentence. Comparing & Ordering Fractions a) 1/2 □ 3/8 b) 1/4 □ 9/12 First, we need to find aCOMMON DENOMINATORso we can rewrite the fraction using equivalent denominators. This is why we learned how to find common multiples We use multiples to find common denominators

  19. Comparing Unlike Denominators Example 2:Replace each □ with <, >, or = to make a true sentence. Comparing & Ordering Fractions a) 1/2 □ 3/8 b) 1/4 □ 9/12 We use multiples to find common denominators

  20. Comparing Unlike Denominators Example 2:Replace each □ with <, >, or = to make a true sentence. Comparing & Ordering Fractions a) 1/2 □ 3/8 b) 1/4 □ 9/12 9 4 4/8 3/8 > < 12 12

  21. Ordering Fractions Example 3:Order the fractions from least to greatest: 3/4, 2/5, 5/8, 1/2. Comparing & Ordering Fractions FIND THE LCD

  22. Ordering Fractions Example 3:Order the fractions from least to greatest: 3/4, 2/5, 5/8, 1/2. Comparing & Ordering Fractions FIND THE LCD 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44

  23. Ordering Fractions Example 3:Order the fractions from least to greatest: 3/4, 2/5, 5/8, 1/2. Comparing & Ordering Fractions FIND THE LCD 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44 5: 5, 10, 15, 20, 25, 30, 35, 40, 45

  24. Ordering Fractions Example 3:Order the fractions from least to greatest: 3/4, 2/5, 5/8, 1/2. Comparing & Ordering Fractions FIND THE LCD 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44 5: 5, 10, 15, 20, 25, 30, 35, 40, 45 8: 8, 16, 24, 32, 40

  25. Ordering Fractions Example 3:Order the fractions from least to greatest: 3/4, 2/5, 5/8, 1/2. Comparing & Ordering Fractions FIND THE LCD 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44 5: 5, 10, 15, 20, 25, 30, 35, 40, 45 8: 8, 16, 24, 32, 40 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42

  26. Ordering Fractions Example 3:Order the fractions from least to greatest: 3/4, 2/5, 5/8, 1/2. Comparing & Ordering Fractions FIND THE LCD 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44 5: 5, 10, 15, 20, 25, 30, 35, 40, 45 8: 8, 16, 24, 32, 40 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42

  27. Ordering Fractions Example 3:Order the fractions from least to greatest: 3/4, 2/5, 5/8, 1/2. Comparing & Ordering Fractions LCD = 40 3 5 4 8 2 1 5 2

  28. Ordering Fractions Example 3:Order the fractions from least to greatest: 3/4, 2/5, 5/8, 1/2. Comparing & Ordering Fractions LCD = 40 3 5 4 40 8 40 2 1 5 40 2 40

  29. Ordering Fractions Example 3:Order the fractions from least to greatest: 3/4, 2/5, 5/8, 1/2. Comparing & Ordering Fractions 3 2 1 5 , , , 4 5 2 8

  30. Guided Practice Replace each □ with <, >, or = to make a true sentence. Comparing & Ordering Fractions a) 4/15 □ 3/10 b) 4/6 □ 16/24 c) 3/4 □ 15/20 Order the fractions from least to greatest: 5/8, 3/4, 5/12, 5/6

  31. Guided Practice Replace each □ with <, >, or = to make a true sentence. Comparing & Ordering Fractions a) 4/15 □ 3/10 b) 4/6 □ 16/24 c) 3/4 □ 15/20 a) < b) = c) = Order the fractions from least to greatest: 5/8, 3/4, 5/12, 5/6 5/12, 5/8, 3/4, 5/6

  32. Independent Practice Replace each □ with <, >, or = to make a true sentence. Comparing & Ordering Fractions a) 2/3 □ 4/7 b) 1/7 □ 5/6 c) 3/4 □ 4/6 Order the fractions from least to greatest: 2/3, 2/9, 5/6, 11/18

  33. Independent Practice Replace each □ with <, >, or = to make a true sentence. Comparing & Ordering Fractions a) 2/3 □ 4/7 b) 1/7 □ 5/6 c) 3/4 □ 4/6 a) > b) < c) > Order the fractions from least to greatest: 2/3, 2/9, 5/6, 11/18 2/9, 11/18, 2/3, 5/6

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