Decomposing Fractions
Adding Fractions
Subtracting Fractions
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, obtuse, straight, and reflex angle. Make sure to label the spread.

Answers will vary.

100

Students in 5th grade want to buy materials for a science project. 4 students each need a ruler and a calculator. Rulers cost $4 each and a calculator costs $11. How much will they spend in total to get all of their supplies?

Number Model: 4 x $4 + 4 x $11 = x ; Answer: $60

200
Decompose 7/9
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 and 3/5 - 2 and 1/5 =
2 and 2/5
200

See Picture 1: What type of angle is this? What is an approximate measure of this angle?

Angle Type: Acute ; Estimate Measure: 45 degrees

200

A movie theater has 6 rows of seats! Each row has 12 seats. If each ticket costs $9, how much money will the theater make if all seats are filled?

Number Model: 6 x 12 x $9 = x ; Answer: $648

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 and 4/9 - 3 6/9 =
34/9 or 3 and 7/9
300

Picture 2 ; Draw the line of symmetry

4 lines of symmetry

300

A lemonade stand sells 9 pitchers of lemonade each day. Each pitcher holds 12 cups of lemonade. If they sell lemonade for 6 days, how many cups of lemonade do they sell?

Number Model: 9 x 12 x 6= x ; Answer: 648 cups of lemonade

400
Decompose 1 and 4/7.
7/7 + 4/7 = 1 and 4/7 ; 5/7 + 6/7 = 11/7
400
Emily ate 3/7 of a pie. AiVy ate 2/7 of the same pie. How much did they eat in all?
5/7 of the pie
400
Miss L had 7/10 of a pizza. She ate 4/10 of the pizza. How much pizza is left?
3/10
400
Picture 3
Angle Type: Reflex ; Estimate Measure: 225 degrees
400

A bicycle factory makes 5 bicycles every day. If they work for 5 days, and each bicycle has 2 wheels, how many wheels will there be in total at the end of the 5 days?

Number Model: 5 x 5 x 2 = x ; Answer: 50 Wheels

500
Decompose 1 and 9/12 in two ways.
11/12 + 10/12 = 1 and 9/12 ; 12/12 + 6/12 + 3/12 = 1 and 9/12
500
Declan and Jake were racing. Declan ran 2 and 4/7 miles. Jake ran 2 and 5/7 miles. How far did they run in all.
5 and 2/7 miles
500
Mia drew a line that was 6 and 2/8 inches long. She then erased 2 and 4/8 inches. How long is the line now?
30/8 or 3 and 6/8
500

See Picture 4: Draw the line of symmetry

One line of symmetry 

500

A school library has 7 shelves, each shelf has 15 rows of books. Each row holds 12 books. How many books total are in the school library?

Number Model: 7 x 15 x 12 = x ; Answer: 1260 Books