Area Model
Draw an area model for 2/3
Look at google slide
Solve for the missing numbers:
1/6 x _ / _ = 3/_
1/6 x3/3 = 3/18
Solve for the missing numbers:
6/15 divided by _ /_ = 2/_
6/15 divided by 3/3 = 2/5
Compare these two fractions using <,>, or =:
5/4 ____ 3/4
5/4 > 3/4
Draw an area model for 2/3 then create one equivalent fractions using your area model.
2/3 = 4/6
2/3 = 8/12
Find the equivalent fractions to 7/6:
a. 2/6
b. 6/7
c. 14/12
d. 12/14
e. 21/18
c. 14/12
e. 21/18
Divide, to create one equivalent fractions for 3/27
1/9
Compare these two fractions using <,>, or =:
2/10 _____ 1/6
2/10 > 1/6
Draw an area model for 1/5 and create two equivalent fractions with the model.
1/5 = 3/15
1/5 = 4/20
Create three equivalent fractions for 1/4 using multiplication.
2/8, 3/12, 4/16, 5/20, 6/24
Divide, to create two equivalent fractions for 24/18
4/3
8/6
Compare these two fractions using <,>, or =:
6/12 ____ 4/8
6/12 = 4/8
What does the shaded part in an area model represent?
The numerator
Create four equivalent fraction for 3/9 using multiplication.
6/18, 9/27, 12/36, 15/45, 18/54
Miles shows Alexis his work and said that he thought this was how to solve his problem. What do you think Miles is correct? Why?
2/6 divided by 2/3 = 1/2
No, Miles forgot to divide the top and bottom by the same number.
What should he have divided both the top and bottom by? Bonus points!! (100)
Emma said you can compare two fractions with the same denominator by only comparing the numerators. Is Emma correct? Explain.
Yes; If two factions have the same denominator, then the fractions with the greater numerator will be the greater fraction.
Bonus points (200): Can you use Emma's strategy to compare two fractions with the same numerator? Explain.
River, Raelynn, and Ryder each ate 1/4 of their own pizza. Each pizza was the same size, but River ate 1 slice, Raelynn ate 2 slices, and Ryder ate 3 slices. How is that possible?
The pizza's are the same size but slices of pizza are different sizes.
Sadie said, "I can use this to find equivalent fractions but n must be 0."
a/b = (a x n)/(b x n)
Which statement best describes Sadie's error?
a. Sadie is incorrect because if n=0, then (a x 0)/(b x 0) = 0/0. You cannot divide by zero.
b. Sadie is incorrect because if n=0, then (a x 0)/(b x 0) = 0/0. 0/0 is equivalent to all fractions.
c. Sadie is incorrect because if n=0, then (a x 0)/(b x 0) = 1/1. 1/1 is equivalent to 1 whole.
d. Sadie is incorrect because if n=0, then (a x 0)/(b x 0) = 0/0. 0/0 is equivalent to 0.
a. Sadie is incorrect because if n=0, then (a x 0)/(b x 0) = 0/0. You cannot divide by zero.
Skylur ate 4/8 of her sandwich. Iris ate 1/2 of her sandwich. The sandwiches were the same size.
a. Whose sandwich had more equal parts? How many parts does it have?
b. Whose sandwich had larger equal parts?
c. Who ate more? Explain.
a. Skylur, she has 8 equal parts on her sandwich
b. Iris's sandwich has larger equal parts
c. They both ate the same amount.
Carter played a video game for 1/6 hour. Avery played a video game for 1/3 hour. Who played the video game for a greater amount of time? Explain.
Avery;
1/3 = 2/6
2/6 > 1/6
1/3 > 1/6