Comparing & Ordering Fractions

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

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. Comparing & Ordering Fractions

Lets talk about pizza…yummy… Meet Joe the Pizza Man 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?

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Guided Practice Replace each □ with, or = to make a true sentence. Comparing & Ordering Fractions a) 4/15 □ 3/10 b) 4/6 □ 16/24c) 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

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

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

Homework p.180 #21-30, all Comparing & Ordering Fractions