Comparing Ordering Fractions Comparing Ordering Fractions Essential Question

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Comparing & Ordering Fractions Example 3: Order the fractions from least to greatest: 3/4, 2/5, 5/8, 1/2. D C L E H FIND T 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

Comparing & Ordering Fractions Example 3: Order the fractions from least to greatest: 3/4, 2/5, 5/8, 1/2. D C L E H T D N I F 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

Comparing & Ordering Fractions Example 3: Order the fractions from least to greatest: 3/4, 2/5, 5/8, 1/2. LCD E H T D FIN 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

Comparing & Ordering Fractions Example 3: Order the fractions from least to greatest: 3/4, 2/5, 5/8, 1/2. 0 4 = LCD 3 4 5 8 2 5 1 2

Comparing & Ordering Fractions Example 3: Order the fractions from least to greatest: 3/4, 2/5, 5/8, 1/2. 0 4 = LCD 3 4 2 5 40 5 8 40 40 1 2 40

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

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

Comparing & Ordering Fractions Guided Practice Replace each □ with <, >, or = to make a true sentence. a) 4/15 □ 3/10 15/20 a) < b) 4/6 □ 16/24 c) 3/4 □ 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

Comparing & Ordering Fractions Independent Practice Replace each □ with <, >, or = to make a true sentence. 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

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