Lesson: 8-13
C.C.S.S. - 5.NF.2.2, 5.NF.2.3, 5.NF.2.4
Warm-Up:
Look at this problem. Don’t solve it! Decide what you need to be able to
do to solve it and write an I can statement.
Central Park in New York City is ½ mile wide and 2 ½ miles long.
Multiply ½ by 2 ½ to find the area.
Target Statement: I can solve a word problem involving multiplication of fractions and mixed numbers.
Instruction/Guided Practice:
Warm-Up Problem: ½ X 2 ½
1. Write the mixed number fraction as an improper fraction.
a. 2 ½ = (2 X 2 + 1)/ 2 (same denominator always). 2 ½ = 5/2
2. Multiply as you would multiply fractions.
a. 1/2 X 5/2 = (1 X 5)/(2 X 2) = 5/4
3. Simplify the product and make it a proper fraction.
a. 5/4 = 1 ¼ miles.
Guided Practice:
1. 4 ½ X 1 ⅓ = 6.
a. (4 X 2 + 1)/2 X (1 X 3 +1)/3 = 9/2 X 4/3 = (9 X 4)/(2 X 3) = 36/6 = 6
2. 3 ½ X 1 ¼ = 4 ⅜
a. (3 X 2 + 1)/2 X (1 X 4 + 1)/4 = 7/2 X 5/4 = (7 X 5)/(2 X 4) = 35/8 = 4 ⅜
3. 3 ⅛ X 1 ⅖ = 4 3/8
a. (3 X 8 + 1)/8 X (1 X 5 + 2)/5 = 25/8 X 7/5 = 175/40 = 4 15/40 = 4 ⅜
4. 1 ⅕ X 6 ½ = 7 ⅘
a. (1 X 5 + 1)/5 X (6 X 2 + 1)/2 = 6/5 X 13/2 = 78/10 = 7 8/10 = 7 4/5
Independent Practice:
OC 69: #1-3, #3-7 (on the back page)
OC 73: #1-4, #2-8 (on the back page)
Exit Ticket: Edmodo quiz