Objective: Add fractions with sums between 1 and 2. Module 3 – Lesson 4

Fluency Practice: Adding Fractions to Make One Whole Name a fraction with the same denominator that together add up to 1 whole. 1 3 + ___ = 3 3 or 1 3 4 + ____ = 4 4 or 1 1 5 + ___ = 5 5 or 1 2 10 + ___ = 10 10 or 1 9 16 + ___ = 16 16 or 1 12 25 + ____ = 25 25 or 1 5 10 + ____ = 10 10 or 1 1 2 + ____ = 2 2 or 1 6 7 + ____ = 7 7 or 1 5 9 + ____ = 9 9 or 1 2 3 1 4 4 5 8 10 7 16 13 25 5 10 1 2 1 7 4 9

Fluency Practice – Division as a Fraction Write the following division sentences as a fraction. 3 ÷ 2 = 2 ÷ 3 = 3 ÷ 4 = 6 ÷ 4 = 1 ÷ 4 = 9 ÷ 3 = 9 ÷ 25 = 5 ÷ 10 = 4 ÷ 12 = 4 ÷ 5 = 10 ÷ 3 = 6 ÷ 8 = 3 2 2 3 3 4 6 4 1 4 9 3 4 12 9 25 5 10 4 5 10 3 6 8

Application Problem Leslie has 1 liter of milk in her fridge to drink today. She drank ½ liter of milk for breakfast and 2/5 liter of milk for dinner. How many liters did Leslie drink during breakfast and dinner? (Bonus: How much milk does Leslie have left over to go with her dessert?) What is a whole? 1 liter How do you think we can solve the problem? Can we add these two fractions? No because the units are not alike. (denominators) What must we do before being able to add them? We must find equal fractions to them. (equivalent fractions) 1 2 2 5 + Now that we have alike fractions we can add them. ( 5 10 + 4 10 = 9 10 ) - Does this answer the question? Yes. How much did Leslie drink for breakfast and dinner? Leslie drank 9 10 L of milk for dinner and breakfast. 5 10 + 4 10

Concept Development – Problem 1 1 3 + 1 4 Can you estimate the answer? Will it be more or less than 1? Yes, the answer will be less than one because both 1 3 and 1 4 are less than 1 2 . Note: When 2 fractions are added together and they are both less than 1 2 your answer will not be over 1. (see pictures on next slide) 1 2 + 3 4 Estimate the answer. Will the answer be more than one? Why or Why not. The answer would be more than 1, because on fraction is 1/2 and the other one is more than 1/2 so when adding two fractions that are both 1/2 or greater you will get more than 1. (see pictures on next slide.)

Concept Development – Problem 1 1 3 + 1 4 = 4 12 + 3 12 = 7 12 1 2 + 3 4 = 4 8 + 6 8 = 10 8 or 1 2 8 or 1 1 4

Concept Development - Problem 2 4 5 + 1 2 Estimate – Think will it be more or less than 1. It will be more than 1 because 4/5 is more than 1/2 and 1/2 is right at the half way mark. Draw a diagram to help support your estimate. Before moving on we need to make sure everyone is clear on an improper fraction and a mixed number. What is an improper fraction and mixed number? Improper fraction is when the numerator is larger than the denominator indicating there is at least 1 whole group. Mixed number is where there is a whole number and a fraction. Now discuss how you can change an improper fraction to a mixed number. 8 10 + 5 10 = 13 10 = 1 3 10

Concept Development - Problem 3 2/3 + 3/5 Estimate – Think will it be more or less than 1. It will be more than 1 because 2/3 is more than 1/2 and 3/5 is more than 1/2. Draw a diagram to help support your estimate. Now discuss how you can change an improper fraction to a mixed number. 2/3 + 3/5 = 10/15 + 9/15 = 19/15 = 1 4/15

Concept Development – Problem 4 3/8 + 2/3 Solve – by using a visual and equivalent fractions. + = 9/24 + 16/24 = 25/24 = 1 1/24 What are you doing to get 24? Timings the denominators together. What do you have to do to make equivalent fractions? - Times the numerators by the same thing.

End of Lesson Activities Debrief Problem Set Exit Ticket Homework

Exit Ticket Draw a model to help solve the following problems. Write your answer as a mixed number in simplest form. 5/6 + 1/4 Patrick drank 3/4 liter of water Monday before going jogging. He drank 4/5 liter of water after his jog. How much water did Patrick drink altogether? Write your answer as a mixed number.

Problem Set For the following problems, draw a picture using the rectangular fraction model and write the answer. When possible, write your answer as a mixed number. A. 2/3 + 1/2 B. 3/4 + 2/3 C. 1/2 + 3/5 D. 5/7 + 1/2 E. 3/4 + 5/6 F. 2/3 + 3/7 Solve the following problems. Draw a picture and/or write the number sentence that proves the answer. Simplify your answer. 2. Penny used 2/5 lb of flour to bake a vanilla cake. She used another 3/4 lb of flour to bake a chocolate cake. How much flour did she use altogether? 3. Carlos wants to practice piano 2 hours each day. He practices piano for 3/4 hour before school and 7/10 hour when he gets home. How many hours has Carlos practiced piano? How much longer does he need to practice before going to bed in order to meet his goal?

Homework Directions: For the following problems, draw a picture using the rectangular fraction model and write the answer. When possible, write your answer as a mixed number and/or in simplest form. A. 3/4 + 1/3 B. 3/4 + 2/3 C. 1/3 + 3/5 D. 5/6 + 1/2 E. 2/3 + 5/6 F. 4/3 + 4/7 Solve the following problems. Draw a picture and/or write the number sentence that proves the answer. Simplify your answer. Sam made 2/3 liter of punch and 3/4 liter of tea to take to a tea party. How many liters of beverages did Sam bring to the party? Mr. Sinofsky used 5/8 of a tank of gas on a trip to visit relatives for the weekend and another half of a tank commuting to work the next week. He then took another trip and used 1/4 tank of gas. How many tanks of gas did Mr. Sinofsky use altogether.