OBJECTIVE: problems.
5.AR.1.3
– Solve real-world problems involving division of a unit
fraction by a whole number and a whole number by a unit
Students will learn and understand how to divide unit fractions in word
MATERIALS: (teacher)
1 Recipe Cards Answer Key
MATERIALS: (per 3 students)
1 set of Recipe Cards
1 envelope
1 Recording Sheet printout
1 Write and Wipe holder
3 dry erase boards
3 dry erase markers
3 dry erasers
1 regular die (six-sided)
LESSON DISCUSSION: fraction.
Review that a unit fraction is any fraction whose numerator is 1. It represents one shaded part of a whole.
Review common unit fractions: 1/, 1/, 1/, 1 2 3 4 /8, etc.
Review how many unit fractions are in a whole.
Review how to divide a fraction by a whole number using a model. For the example, 1/ ÷ 4 = 1 3 /12:
Review how to divide a whole by a unit fraction using a model. For example, 4 ÷ 1/3 = 12: Whole
/3
Teacher preparation:
Step 1: Print and cut out recipe cards for each group of students. Place the cards in an envelope.
Step 2: Print and place a Recording Sheet in a Write and Wipe holder for each group.
Procedure:
Step 1: Divide students into groups of 3 and pass out their materials.
Step 2: Instruct students to roll the die. The student who rolled the largest number will select a card from the envelope first, then the student with the second largest roll will go next, followed by the last student who gets the last card.
Step 3: Explain to students that they will need to divide the ingredients by the whole number or unit fraction given based on the instructions on the recipe card they selected.
Step 4: The students in the group will work independently to solve their recipe cards using their dry erase boards and fill out the Recording Sheet with their answers. They will check each other’s work for accuracy. The first group to finish their Recording Sheet with the correct answers first will win.
Step 5: Once all the groups are done, review all the answers with the class.
Extension Activity
Step 1: Ask each group to create their own recipe card with ingredients and instructions, along with an answer key on the back of their Write and Wipe holder.
Step 2: Groups will trade Write and wipe holders and solve each other’s recipes, checking the answer keys when finished.
Essential Questions for Discussion or Journaling:
(1) When dividing a unit fraction by a whole number, does the unit fraction become smaller or bigger?
(2) When dividing a whole number by a unit fraction, does the whole number become smaller or bigger?
Card 2: MAIN COURSE
Ingredients:
10 mini pizza crusts
4 cups tomato sauce
3 cups mozzarella cheese
2 cups pepperoni
1 cup olives
Instructions:
1. Divide the pizza crusts by 1/2.
2. Divide the tomato sauce and mozarella cheese by 1/4.
3. Divide the pepperoni by 1/8.
4. Divide the olives by 1/6.
Recipe Card 3: DESSERT
Ingredients: 12
strawberries 6 peaches 5 oranges 3 cups pineapple
chunks 2 cups grapes
1 1
/10 of a watermelon
/2 lb apples
Instructions:
1. Divide the peaches and strawberries by 1/5.
2. Divide the oranges and pineapple chunks by 1/3.
3. Divide the grapes by 1/10.
4. Divide the amount of watermelon by 5.
5. Divide the amount of apples by 6.
Recording Sheet
Recipe Card #1: Appetizer
Veggie Dippers
Recipe Card #2: Main Course
Mini Pizzas
cup baby carrots
cup cherry tomatoes
cup sliced cucumbers
cup hummus
cup of ranch
cup of tzatziki sauce
mini pizza crusts
cups tomato sauce
cups mozzarella cheese
cups pepperoni
cup olives
Recipe Card #3: Dessert
Fruit Kabobs
strawberries peaches oranges
cups pineapple chunks
cups of grapes of a watermelon
Recipe Card 1: ANSWER KEY
Instructions:
1. Divide the baby carrots and cherry tomatoes by 6. (/
2. Divide the cucumbers by 5. (1/20)
3. Divide the hummus by 3. (1/15)
4. Divide the ranch by 4. (1/24)
Instructions:
1. Divide the pizza crusts by 1/2. (20)
5. Divide the tzatziki sauce by 2. (1/16) (16, 12) ) 1 12, 1/18
Recipe Card 2: ANSWER KEY
2. Divide the tomato sauce and the mozarella cheese by 1/4.
3. Divide the pepperoni by 1/8. (16)
4. Divide the olives by 1/6. (6)
Recipe Card 3: ANSWER KEY
Instructions:
1. Divide the strawberries and peaches by 1/5. (60, 30)
2. Divide the oranges and pineapple chunks by 1/3. (15, 9)
3. Divide the grapes by 1/10. (20)
4. Divide amount of watermelon by 5. (/ )
5. Divide the amount of apples by 6. (/
12)
Name:
LEVELED PRACTICE 1 – 5.AR.1.3
DIRECTIONS: Complete the following word problems.
1
A recipe calls for 1/4 cup of sugar to make 12 cookies. How much sugar is needed to make one cookie?
2
Maria wants to make pancakes for breakfast. The recipe calls for 1/2 cup of milk to make 4 pancakes. How much milk is needed to make one pancake?
3
Emily wants to share a bag of candy equally between herself and four friends. If the bag is only 1/3 full of candy, what fraction of the bag will each person receive?
How can you use a model to divide a unit fraction by a whole number?
Name:
DIRECTIONS: Complete the following word problems.
2
3 LEVELED PRACTICE 2 – 5.AR.1.3
A 12-meter long rope is cut into 1/6 meter pieces. How many pieces are there?
A construction worker needs 1/3 of a bag of cement to complete one section of a wall. If he has 3 bags of cement, how many sections of the wall can he complete?
A baker uses 1/8 of a bag of flour for one batch of cookies. If he has 4 bags of flour, how many batches of cookies can he make?
How can you use a model to divide a whole number by a unit fraction?
Name:
LEVELED PRACTICE 3 – 5.AR.1.3
DIRECTIONS: Complete the following word problems.
1
Gabby and Preston are painting a mural. They have 1/2 gallon of purple paint and 1 /6 gallon of gold paint. If they only use half the amount of each color of paint for their mural, how much of each color of paint will they use?
2
Patricia is tie dyeing T-shirts for her dance team. She has 1/ cup of red dye, 1 2 /3 1 4
cup of orange dye, and / cup of blue dye. She is splitting the dye among 6 shirts. How much of each color of dye will each shirt have?
3
Horatio is making scones for a bake sale. If he needs 1/ cup butter and 18/3 cup sugar to make six scones, how much of each ingredient does Horatio need to make a single scone?
How does the quotient differ when a unit fraction is divided by a whole number versus when a whole number is divided by a unit fraction?
