Vocabulary
What is a fraction? Give an example.
A fraction is a number that expresses EQUAL PARTS of a WHOLE.
(examples will vary)
Write an equation to express the fraction 3/4 as a sum of unit fractions.
1/4 + 1/4 + 1/4 = 3/4
Write an equivalent fraction to 1/2. Be ready to explain your thinking.
Answers will vary, explain strategy.
(1/2 = 2/4, 3/6, 4/8, 10/20, etc.)
Compare the fractions using >, <, or =.
a) 2/5 ____ 4/5
b) 6/8 ____ 4/8
c) 5/10 ____ 1/2
a) 2/5 < 4/5
b) 6/8 > 4/8
c) 5/10 = 1/2
Add or subtract. Write the sum or difference in fraction form.
a) 1/4 + 2/4
b) 5/6 - 3/6
c) 5/12 + 11/12
d) 10/10 - 7/10
a) 1/4 + 2/4 = 3/4
b) 5/6 - 3/6 = 2/6
c) 5/12 + 11/12 = 16/12
d) 10/10 - 7/10 = 3/10
Casey says 5/12 is greater than 1/2. Deepa says 5/12 is less than 1/2. Is Casey or Deepa correct? Explain.
Deepa is correct. I know because if I find an equivalent fraction for 1/2, it equals 6/12 (multiply numerator and denominator by 2). 5/12 is less than 6/12, so 5/12 is less than 1/2.
What is a mixed number? Give an example.
A mixed number consists of a whole number AND a fraction.
(examples will vary)
Write an equation to decompose the fraction 6/4.
Answers will vary.
(1/4 + 5/4, 2/4 + 4/4, 1/4 + 1/4 + 1/4 + 1/4 + 1/4 + 1/4, etc.)
Show that the fractions are equivalent by drawing a model.
1/5 and 2/10
Student work will vary.
(1/5 x 2/2 = 2/10)
Compare the fractions using >, <, or =.
a) 1/3 ____ 1/6
b) 3/6 ____ 3/8
c) 2/5 ____ 2/10
a) 1/3 > 1/6
b) 3/4 > 3/8
c) 2/10 < 2/5
Use the three numbers to write two addition and two subtraction equations.
3/8, 4/8, 7/8
3/8 + 4/8 = 7/8
4/8 + 3/8 = 7/8
7/8 - 3/8 = 4/8
7/8 - 4/8 = 3/8
David and Oka order mini pizzas to share. David eats 3 3/4 pizzas. Oka eats 15/4 pizzas. Who eats more pizza? Explain.
David and Oka eat the same amount of pizza. I know because I converted the improper fraction 15/4 into a mixed number by dividing 15 by 4. I got 3 3/4, which is the same amount that David ate, so they ate the same amount of pizza.
What is an equivalent fraction? Give an example.
An equivalent fraction is a fraction that is the same as another fraction. They take up the SAME amount of space.
(examples will vary)
Write two different equations to show the fraction decomposed into a sum of fractions.
Fraction: 9/10
Answers will vary.
(1/10 + 8/10, 2/10 + 7/10, 3/10 + 6/10, etc.)
How do you find an equivalent fraction?
To find an equivalent fraction, you multiply or divide the numerator and denomindtor by the SAME number.
Plot the fractions on a numberline. Use >, <, or = to compare the fractions: 2/5, 7/8, 1/3.
a) 1/2 ____ 1/3
b) 2/5 ____ 1/2
c) 2/5 ____ 7/8
Students need to show the fractions plotted on a nuberline.
a) 1/2 > 1/3
b) 2/5 < 1/2
c) 2/5 < 7/8
Subtract.
a) 1 - 3/5
b) 3 - 7/8
a) 1 - 3/5 = 2/5
b) 3 - 7/8 = 2 1/8
Carla makes food for a bake sale. Each recipe lists vanilla as an ingredient. The cake recipe uses 23/8 teaspoons. The pie recipe uses 9/8 teaspoons. The cookie recipe uses 3/8 teaspoons. The cupcake recipe uses 11/8 teaspoons. How many teaspoons of vanilla does Carla use? Write your answer as a mixed number.
Carla uses 5 6/8 teaspoons of vanilla. I know because 23/8 + 9/8 + 3/8 + 11/8 = 46/8. If I divide 46 by 8, it is equal to 5 6/8 (5 3/4).
What is a unit fraction? Give an example.
A unit fraction is a fraction whose numerator is 1, and it represents what EACH PIECE of the whole is worth.
(examples will vary)
Rename the fraction 14/4 as a mixed number. Show your strategy.
14/4 = 3 2/4
(students need to show a strategy)
Show an equivelent fraction for 6/8 by using multiplication. Then show an equivalent fraction for 6/8 by using division.
Answers will vary for multiplication (6/8 = 12/16, 30/40, 60/80, etc.)
Division: 6/8 = 3/4 (divide by 2)
Compare the fractions using >, <, or =.
a) 2/5 ___ 8/10
b) 9/12 ___6/8
c) 4/5 ___ 2/3
a) 2/5 < 8/10
b) 9/12 = 6/8
c) 4/5 > 2/3
Find the sum of the mixed numbers:
a) 3 4/5 + 6 1/5
b) 8 7/10 + 2 9/10
a) 3 4/5 + 6 1/5 = 10
b) 8 7/10 + 2 9/10 = 11 7/10
Ray bikes 4 4/10 km. Zara bikes 2 7/10 km.
a) How many more kilometers does Ray bike than Zara?
b) How many kilometers do Ray and Zara bike together?
Student work will vary.
a) Ray bikes 1 7/10 more km than Zara.
b) Ray and Zara bike 7 1/10 km together.
What is a proper fraction? What is an improper fraction? Give an example of both.
A proper fraction is where the numerator is LESS THAN than the denominator, it is LESS than a whole.
An improper fraction is where the numerator is GREATER THAN the denominator, and it is MORE than a whole.
(examples will vary)
Rename the mixed numbers into an improper fraction. Show your strategy.
1) 4 1/6
2) 5 5/8
1) 4 1/6 = 25/6
2) 5 5/8 = 45/8
(make sure students show a strategy)
Ray needs 3/4 cups of flour. He only has two measuring cups, a 1/3 cup and a 1/8 cup.
a) Which cup should Ray use? Explain.
b) How many of the cups you chose in part (a) will it take to measure 3/4 cups of flour? Explain.
a) Ray should use the 1/8 cup of flour. I know because if I multiply 3/4 by 2/2 I can get an equivalent fraction of 6/8, and I can use the equivalent fraction because the denominator is the same.
b) Ray will need 6- 1/8 cups of flour. I know because 6 x 1/8 = 6/8 which I can compose to 3/4 by dividing the numerator and denominator by 2.
Ray runs 7/10 miles. Zara runs 4/6 miles. Did Ray or Zara run the least number of miles? Explain.
Zara ran the least number of miles. I know because I found a common denominator between the fractions. I renamed 7/10 to 42/60 (Ray), and 4/6 to 40/60 (Zara). 40/60 is less than 42/60, so Zara ran less miles than Ray.
Find the difference between the mixed numbers, show your strategy:
a) 4 2/4 - 2 3/4
b) 6 2/10 - 3 9/10
a) 4 2/4 - 2 3/4 = 1 3/4
b) 6 2/10 - 3 9/10 = 2 3/10
There are 15 players on Mrs. Smith's soccer team. They are having a pizza party. If each player eats 3/8 of a pizza, how many pizzas does Mrs. Smith need to buy. Explain.
Mrs. Smith needs to buy 6 pizzas. I know because if each player eats 3/8 pizas, and there are 15 players on the team, my equation would be 15 x 3/8 = 45/8 pizzas. I converted the improper fraction to a mixed number, and got 5 5/8. However, you can't order 5/8 of a pizza, so Mrs. Smith needed to go to the next whole number.