Balancing Equations (addition)
Balancing Equations (subtraction)
Problem Situations
(Real life math)
(Real life math)
Strategies Explained
Two Step Problems
100
4 + 7 = ____
11
100
15 - 6 = ____
9
100
Steve measured his book and it is 32 cm long. His brother's book is 18 cm long. How much longer is Steve's book than his brothers?
Steve's book is 14 cm longer than his brothers.
100
Explain how you would solve 13 - 6.
Explanations will vary.
Example: I would break 6 into a three and a three so that I could take 3 from 13 and get to 10. Then I would take 3 more from 10 to get to 7.
Example: I would start at 6 and count up until I get to 13 and see what the difference is.
Example: I see that 13 is close to 12 and I know 6+6=12 so 6+7 would be 13. That means 13-6 is 7.
100
Lindsay made 20 bracelets to pass out to her friends to give them glow. On Monday she passed out 7 bracelets. On Tuesday she passed out 5 more. How many more bracelets does she have to give away?
So far Lindsay has passed out 12 bracelets.
She still has 8 more to give away.
200
14 = 7 + ___
7
200
____ = 17 - 8
9
200
Julie and her friend Jade are participating in a reading challenge. Julie has read 38 pages this week and Jade has read 43 pages. How many pages did they read together?
Together Jade and Julie have read 81 pages.
200
Write an equation that could represent the beads on the left side of the number rack.
8+9
or
(8+8) + 1
or
20-3
200
George wants to be the fastest runner in third grade. The current winner was able to finish three races in 82 seconds. If George finishes the first race in 28 seconds, the second race in 35 seconds and the third race in 21 seconds, is he the fastest? How much faster or slower did he finish all races? Show your thinking.
George finished all three races in 84 seconds.
(28 + 35 + 21)
He missed being the fastest by 2 seconds.
300
19 = ___ + 9
10
300
____ = 13 - 5
8
300
Trey is measuring the playground for fencing. He recorded the measurements on the diagram. Based on this information, how many meters of fencing does Trey need?
Trey will need 65 meters of fencing
300
Carol says she can use 9+9 to figure out how many beads are on the left side of the number rack. How can she do that?
Answers will vary.
Example: She could imagine one more being on the top rack to make 9+9 and then take one away to find 8+9.
Example: Because she knows that 9+9 leaves only 2 on the right side, she can notice that 8+9 leaves just one more making the answer 17.
300
Julie and her friend Jade are participating in a reading challenge. Julie has read 38 pages this week and Jade has read 43 pages. If their goal is to read 100 altogether, how many more pages do they need to read?
Together Julie and Jade have read 81 pages.
They need 19 more pages to make their goal.
400
9 + 3 = 10 + ____
2
400
____ = 7 - 3
10
400
Jack is 63 inches tall. His younger sister is only 47 inches tall. How much taller is Jack than his sister?
Jack is 16 inches taller than his sister.
400
Joey says that all double facts have even sums. Do you agree with Joey? Why or why not?
Yes, all doubles facts have even sums because when you double a number each number has a partner which makes it even.
400
Kendal and her sister are making brownies for a bake sale. On Monday Kendal made 17 brownies and her sister made 21. On Tuesday Kendal made 24 brownies and her sister made 22. Who made more brownies for the sale, Kendal or her sister? How many more brownies were made?
Kendal made 41 brownies in all (17 + 24)
Her sister made 43 brownies in all (21 + 22)
Kendal's sister made more brownies. She made exactly 2 more brownies than her sister.
500
5 + 7 = 6 + ____
6
500
15 = ____ - 5
20
500
Maggie's book is 23 cm long. The book is 7 cm longer than her pencil. How long is her pencil?
Maggie's pencil is 16 cm long.
500
Solve 8 + 5 using two different strategies you have learned. Show your thinking.
Answers will vary.
Examples:
(5+5) + 3
(8+2) + 3
500
Jack and Diane are keeping track of how many dojo points they got this week. Jack got 11 dojo points on Monday, 15 dojo points on Tuesday and 9 dojo points on Wednesday. Diane got 17 dojo points on Monday, 3 dojo points on Tuesday and 10 dojo points Wednesday. Who has more dojo points this week? How many more dojo points were earned? Show your thinking and label your answer.
Jack earned 35 dojo points (11 + 15 + 9)
Diane earned 30 dojo points.
Jack earned 5 more dojo points than Diane.