
Applying operations with rational numbers
Presentation
•
Mathematics
•
4th - 6th Grade
•
Practice Problem
•
Medium
+4
Standards-aligned
Andrew Jones
Used 14+ times
FREE Resource
7 Slides • 11 Questions
1
- Start new section (new paper) of math notes
- Please, take out whiteboard, marker and eraser
2
Open Ended
How can you solve problems involving multiplication
and division of fractions and decimals?
3
Multiple Select
Select the rational numbers
4
13.33
43
-3
4
Makana earned $54 mowing lawns in two days. He worked 2.5 hours yesterday and 4.25 hours today. If Makana was paid the same amount for every hour he works, how much did he earn per hour?
Example:
When you solve a word problem involving rational numbers, you often need to think about the problem to decide which operations to use
Interpreting a word problem
5
• The total amount he earned divided by the total hours he worked
gives the amount he earns per hour.
• Use the expression 54 ÷ (2.5 + 4.25) to find the amount she earned
per hour.
Formulate a plan
Identify the important information.
• Makana made $54 mowing lawns.
• Makana worked 2.5 hours yesterday and 4.25 hours today.
• You are asked to find how much he earned per hour.
Analyze information
Makana earned $54 mowing lawns in two days. He worked 2.5 hours yesterday and 4.25 hours today. If Makana was paid the same amount for every hour he works, how much did he earn per hour?
WRITE IN NOTES
6
You added 2.5 and 4.25 first to find the total number of hours worked.
Then you divided 54 by the sum to find the amount earned per hour.
Justify and Evaluate
Follow the order of operations.
(2.5 + 4.25) = 6.75 Add inside parentheses.
54 ÷ 6.75 = 8. Divide.
Makana earned $8 per hour mowing lawns.
Solve
Makana earned $54 mowing lawns in two days. He worked 2.5 hours yesterday and 4.25 hours today. If Makana was paid the same amount for every hour he works, how much did he earn per hour?
WRITE IN NOTES
7
Reorder
After reading the problem, order the steps to solving a word problem? Hint: refer to notes
Analyze information
Formulate a plan
Solve
Justify and evaluate
8
Multiple Choice
Anela earned $60 washing cars in two days. She worked 1.5 hours
yesterday and 3.25 hours today. Anela was paid the same amount for
every hour she works, how much did she earn per hour? Hint: Analyze, Plan, Solve, Justify and Evaluate.
$12.63
$13.00
$11.11
$8.00
9
Poll
What do you prefer?
Washing Car
Mowing Lawn
Homework
Washing Dishes
10
Open Ended
What was the last thing you or anyone you know bought at the store? How can you count money?
11
Converting Fractions and Decimals to Solve Problems
Each part of a multipart question on a test is worth the same number of
points. The whole question is worth 37.5 points. Kai got 1/2 of the parts of a question correct. How many points did Kai receive?
12
Multiple Select
The bill of a pizza at Dominos was $14.50. Michelle paid for 3/5 of the bill. What are two ways to find out how much she paid?
53×229=1087. 87÷10=
53=0.60. 0.60×14.50=
14.50−3.50=
1421−53=
13
Poll
What is your favorite pizza restaurant?
Dominos
Pizza Hut
Boogie Woogie Pizza
14
Multiple Choice
Keanu and Kalani are taking a road trip from Pahoa to Kona. The trip is 93 miles. Kalani drove 5/8 of the total distance. How many miles did Kalani drive?
58.125 miles
58 miles
58.58 miles
59 miles
15
16
Multiple Choice
To prepare for a race, Lloyd ran every day for two weeks. He wan a total of 67,592 meters. Lloyd ran the same distance everyday. He took a two-day rest and then started running again. The first day after his rest, he ran the same distance plus 1,607.87 meters more. How far did Lloyd run that day?
6,444.87 meters
6,435.78 meters
6,435.87 meters
6,453.87 meters
17
Lloyd ran every day for two weeks. He ran a total of 67,592 meters. Lloyd ran the same distance everyday. He took a two-day rest and then started running again. The first day after his rest, he ran the same distance plus 1,607.87 meters more. How far did Lloyd run that day?
18
Open Ended
What is the most difficult part of solving word problems?
- Start new section (new paper) of math notes
- Please, take out whiteboard, marker and eraser
Show answer
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