Color Tile Conundrums

How can I determine an equivalent fraction using a quantity of a set?

Use color tiles to solve each story problem.

1. Record your solution on a grid. Each square of the grid represents a color tile.

2. Express your solution on a number line, too.

Third Grade AKS

15.NF.1 understand a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b equal parts; understand a fraction a/b as the

quantity formed by a parts of size 1/b

18.NF.2_a. represent a fraction 1/b on a number line diagram by defining the interval from 0 to 1 as the whole and partitioning it into "b" equal parts;

recognize that each part has size 1/b and that the endpoint of the part based at 0 locates the number 1/b on the number line

22.NF.3_b. recognize and generate simple equivalent fractions (e.g., 1/2 = 2/4, 4/6 = 2/3); explain why the fractions are equivalent by using a visual

fraction model

Vertical Alignment

2nd Grade: 31.G.3 partition circles and rectangles into two, three, or four equal shares, describe the shares using the words halves, thirds, half of, a third of, etc., and describe

the whole as two halves, three thirds, four fourths. Recognize that equal shares of identical wholes need not have the same shape

4th Grade: 18.NF.1 explain why a fraction a/b is equivalent to a fraction (n x a/n x b) by using visual fraction models with attention to how the number and size of the parts

differ even though the two fractions themselves are the same size; use this principle to recognize and generate equivalent fractions

Greg Tang Websites

Satisfractionhttp://gregtangmath.com/Games/Satisfraction

Kakooma Fractionshttp://

gregtangmath.com/Kakooma/Kakooma?gameType=Fractions

Greg Tang E-Bookshttp://gregtangmath.com/Books

Joe has 15 candies. One third are yellow, and 1/5 are red. The rest are blue. How many of each

color candy does Joe have?

1

Brad has 18 jellybeans. One third are green, and ½ are red. One

sixth are yellow. How many jellybeans of each color does Brad

have?

2

Cindy has 20 gumballs. One fifth are yellow, and ½ are blue. One

fourth are green, and the rest are red. How many gumballs of each

color does Cindy have?

3

Doug has 12 candy hearts. One fourth are blue, and 1/3 are green. One sixth are yellow, and the rest are red. How many candy hearts of each color does Doug have?

4

Gail has 24 gumdrops. One third are green, and 1/6 are blue. One fourth are yellow, and the rest are red. How many gumdrops of each

color does Gail have?

5

Helen has 9 t-shirts. One third are red, and 1/3 are yellow. Two

ninths are blue, and the rest are green. How many of each color t-

shirt does Helen have?

6

Jason has 16 bouncy balls. One eighth are yellow, and ¼ are blue. Three eighths are red, and the rest

are green. How many of each color bouncy ball does Jason have?

7

Mike has 8 pool balls. One fourth are green, and there is one more red than blue. There is also one more yellow than green. How

many pool balls of each color does Mike have?

8

Lisa has 25 bows. One fifth are yellow, and 4/25 are red. Two fifths are blue, and the rest are green. How many bows of each

color does Lisa have?

9

Marie has 30 flowers. One third are blue, and 1/5 are yellow. One sixth are green, and the rest are red. How many flowers of each

color does Marie have?

10

Paul has 36 toy cars. One third are green, and 2/9 are yellow. One

sixth are blue, and 5/18 are red. How many toy cars of each color

does Paul have?

11