Download Chapter 13C - Fractions (After TAKS)

COMPACTED MATHEMATICS
CHAPTER 13C
FRACTIONS – ALL OPEARTIONS
TOPICS COVERED:



Fraction Sense, Adding and Subtracting w/ like denominators
Adding and Subtracting Mixed Numbers
Subtracting Mixed Numbers by Renaming
Fraction Sense, Adding and Subtracting w/ like
denominators – After TAKS
Activity 13-17
Name:
1-4. Round the fraction or mixed number to nearest whole number.
1
7
9
22
27
8
4
4
15
1.
2.
3.
4.
5-8. Find the sum or difference. Simplify
1 2
5.
5+ 5
5
6.
- 2
18 18
25
+ 1
7.
52 52
19
- 3
8.
20 20
9-11. Algebra – Use mental math to find x. Simplify your answers.
x+ 1 = 5
9.
8 8
3
10.
x 1
4- = 2
x+ 2 = 1
11.
7
12-13. Find the perimeter of the figures.
1 mm
4
12.
13.
6 mm
7
6 mm
7
1 mm
4
12.
13.
5 mm
7
14.
Mr. Mangham, Mrs. Landry, and Mrs. McKnight are competing in a swim race. Mrs.
Landry and Mr. Mangham each swim 1 of the race. Mrs. McKnight swims 3 of the race.
5
5
How much more of the race does Mrs. McKnight swim than Mr. Mangham and Mrs.
Landry combined?
A weather report states that 3 inch of rain fell on Saturday and on Sunday. Rainfall on
4
15.
16.
Monday was 1 inch less than on Sunday. How many inches of rain fell in total on the
4
three days?
Mr. Hoag made a home movie using 5 hour of family trips and 5 hour of birthday
6
6
parties. If the tape is 2 hours long, how many hours are left on the tape?
Activity 13-18
Adding and Subtracting w/ unlike denominators – After
TAKS
Name:
Find the sum or difference. Simply if possible.
1.
Problem
2/9 + 1/3
LCD
2.
9/10 + 1/2
3.
7/8 – 2/3
4.
7/10 – 1/8
5.
7/10 + 5/24
6.
17/20 + 2/15
7.
3/4 – 1/6
8.
5/8 – 1/3
Answer
Evaluate expression when x = 1/3 and y = 3/4
9.
Problem
x+½
10.
5/6 + y
11.
y–x
12.
x – 2/9
Answer
Find the sum or difference. Express it as a fraction or mixed number. Simplify if possible.
Problem
13.
3/10 + 0.15
14.
7/8 – 0.125
Answer
Tell whether the LCD is the product of the denominators, less than the product of the denominators, or
equal to one of the denominators. Explain your reasoning.
15.
Problem
5/12 + 1/8
16.
17.
7/9 – 4/27
6/11 + 4/5
Answer
18-20. Your peppermint plant is 3/10 inch tall. After one week it is ½ inch tall.
Problem
18.
How much did the plant grow in one week?
If it grows at the same rate, how tall would you expect the plant
19.
to be after two weeks? After 3 weeks?
If it grows at the same rate, how many weeks total will it take
20.
the plant to reach a height of 1 7/10 inches?
Answer
Activity 13-19
Adding and Subtracting Mixed Numbers – After TAKS
Improper fraction
1.
2.
3.
Name:
Mixed number
2
3
7
3
4
23
8
4
Find the sum and differences. Simplify if possible.
2
5
5 4
4.
9
9
3 1
2 1
5.
5 5
3
1
9 3
5.
4
12
7
1
9 1
7.
10 4
Describe and correct the error made in the solution
2
4
6
1
7 1  8  8
8.
5
5
5
5
1
1
and y = 1
3
2
y+5-x
1
7+y- 6
3
2
x+y+ 2 +x
3
Evaluate the expression when x = 2
9.
10.
11.
Write the next three numbers in the pattern. Describe rule you used.
Next three numbers
5 1 5 1
1 , 2 , 2 ,3
12.
8 8 8 8
1 1 1
12,10 ,8 , 6
13.
6 3 2
rule
3
feet farther than 13 feet. Your friend’s frog jumps
16
5
1
1 feet farther than your frog. Then it jumps foot in the opposite direction.
12
3
14. In the end, how far did your friend’s frog jump forward?
1
Your cousin’s frog jumps 1 feet farther than your frog. Did
15.
3
you cousin’s frog jump farther than your friends frog? Explain.
In a frog jumping contest, your frog jumps 2
Activity 13-20
Subtracting Mixed Numbers by Renaming– After TAKS
Name:
Rename fractions
1
3
2
2
5
5
8
8
7
3
10
4
1.
2.
3.
4.
Find the difference. Simplify if possible.
1
5
4 2
6
6
5 7
3 
8 8
4 6
5 
7 7
8
10 
15
2 7
4 1
3 8
1
3
9 4
4
10
1 3
6 1
4 5
5.
6.
7.
8.
9.
10.
11.
12.
When subtracting mixed numbers, how do you know whether
you need to rename?
Evaluate the expression when x  3
13.
14.
15.
5
1
and y  6 .
6
4
1
5 x y
6
8  ( y  x)
(10  y )  x
Members of a unicycle club are taking a two day road trip. The trip is a total of
1
1
16. 16 miles. They travel 6 miles on the first day. How far will they travel on the
2
4
second day.
2
A professional ice hockey goal is 4 feet tall. You buy a hockey goal that is 3 feet
17.
3
tall. How much taller is the professional goal than your goal?
3
18. A goalie is 5 feet tall. How much taller is the goalie, than the smaller goal?
4
3
1
6
3
5
8
27
10
1
A fisherman catches a blue crab that is 2 inches wide. Blue crabs that are less than
3
19.
5 inches are returned back to the water. How much wider must the crab be before it
will be 5 inches wide?
3
1
A road sign says that Exit 1 is 1 miles ahead and Exit 2 is 3 miles ahead. How far
20.
2
4
is Exit 2 from Exit 1?