Decomposing Fractions
Adding Fractions and Mixed Numbers
Subtracting Fractions and Mixed Numbers
Angles/Symmetry
Number Stories
100
Decompose 4/5 into unit fractions.
1/5 + 1/5 + 1/5 + 1/5 = 4/5
100
4/8 + 3/8 =
7/8
100
11/13 - 7/13 =
4/13
100

Draw an acute, right, and obtuse angle.

Answers will vary.

100

Danielle took ⅚ gallon of water on a camping trip. She drank ⅙ gallon on the first day and 2/6 gallon on the second day. How much water did Danielle have when she got home?

3/6 or 1/2 gallon

200

Decompose 7/9 in three different ways.

1/9 + 6/9 = 7/9 ; 4/9 + 3/9 = 7/9 ; 3/9 + 3/9 + 1/9 = 7/9

200
1 3/5 + 3/5 =
2 1/5 or 11/5
200

4 3/5 - 2 1/5 =

2 2/5

200

Draw a ray pointing towards 3:00 on a clock. Draw a dashed line to show a ray 1/2 turn clockwise. What type of angle do these rays create?

Straight angle

200

Ian worked on his homework for 7/10 hour. He spent 1/10 hour on math and 3/10 hour on reading. The rest of the time he spent on his French homework. How long did Ian spend working on French?

3/10 hour, or 18 minutes

300
Decompose 10/8 into unit fractions.
1/8 + 1/8 + 1/8 + 1/8 + 1/8 + 1/8 + 1/8 + 1/8 +1/8 + 1/8 = 10/8
300
4 7/10 + 8 3/10 =
13
300

7 4/9 - 3 6/9 =

34/9 or 3 7/9

300

Draw a ray pointing towards 12:00 on a clock. Draw a dashed line to show a ray 1/4 turn counterclockwise. What type of angle do these rays create?

Right angle

300

Ms. Serangeli drank 3 7/10 liters of coffee on Saturday and 4 1/10 liters on Sunday. Ms. Carbonetto drank 9 6/10 liters over the weekend. How many more liters did Ms. Carbonetto drink than Ms. Serangeli?

1 8/10 or 1 ⅘ liters

400

Decompose 1 4/7 in two different ways.

7/7 + 4/7 = 1 and 4/7 ; 5/7 + 6/7 = 11/7

400

Emily ate 3/8 of a pizza. Sasha ate 2/8 of the same pizza. How much did they eat in all?

5/8 of the pizza

400
Miss L had 7/10 of a pizza. She ate 4/10 of the pizza. How much pizza is left?
3/10
400

Define the following: right angle, acute angle, obtuse angle.

Right angle: 90 degrees

Acute angle: 0 to 90 degrees

Obtuse angle: 90 to 180 degrees

400

Andrea practiced the piano for ⅔ hours for 3 straight days. On the fourth day she practiced 1 ⅓ hours. 

How many hours did Andrea practice in all? 

Bonus: How many minutes?

3 ⅓ hours = 3 hours 20 minutes = 200 minutes

500

Decompose 1 9/12 in two different ways.

11/12 + 10/12 = 1 9/12 ; 12/12 + 6/12 + 3/12 = 1 9/12

500

Declan and Jake were racing. Declan ran 2 4/7 miles. Jake ran 2 5/7 miles. How far did they run in all?

5 2/7 miles

500

Mia drew a line that was 6 2/8 inches long. She then erased 2 4/8 inches. How long is the line now?

30/8 or 3 6/8

500

Draw a polygon that has NO lines of symmetry.

Answers will vary.

500

Vanessa swam ¾ mile each day for 7 days. She has a goal to swim 10 ¾ miles. How much more does she need to swim to meet her goal?

5 2/4 or 5 ½ miles