3rd grade · Math · Unit 12 of 14
Two-Step Stories
Solve problems in two steps
What your child practices
Word problems that take two steps with any of the four operations, choosing an equation with a letter for the unknown, and checking an answer by estimating.
Arizona Academic Standards learning standard: 3.OA.D.8 · solving two-step problems with the four operations and checking answers by estimating
How we explain it
Children can open this short lesson before they practice.
- Read the story and find the two steps.
- Do the first step, then use its answer in the second.
- Check: is the answer close to an estimate?
Example: Maya buys 4 packs of 6 stickers and gives away 5. How many are left? Step 1: 4 × 6 = 24. Step 2: 24 − 5 = 19. Answer: 19
Two-Step Stories in Arizona
In the Arizona Academic Standards, this is unit 12 of 14 in 3rd grade Math, after Times Tens and before Halves & Fourths of an Inch.
Gradelings describes a child's practice on this unit as Beginning, Approaching, Meeting or Exceeding (Four practice steps). That reflects practice, not a report-card mark: the teacher decides the mark.
Source: Arizona Department of Education
Sample questions
A taste of this unit. In the app, questions change every time and get easier or harder to match your child.
Question 1
Zoe has 5 bags with 5 grapes in each and eats 4. Which equation finds the grapes left, g?
- 5 × 5 + 4 = g
- 5 × (5 + 4) = g
- 5 + 5 − 4 = g
- 5 × 5 − 4 = g
5 × 5 − 4 = g
Hint: First find all the grapes (equal groups). Then take away the ones eaten.
Question 2
Ana picks 5 apples in the morning and 15 in the afternoon. Ana puts them in bags of 5. How many bags are filled?
- 3
- 5
- 1
- 4
- 20
4
Hint: Add first: 5 + 15 = 20. Then 20 ÷ 5.
Question 3
Sam buys 3 books that cost $6 each and pays with $20. How many dollars of change?
- 12
- 3
- 5
- 1
- 2
2
Hint: The books cost 3 × 6 = $18. Then 20 − 18.
Question 4
Zoe adds 518 + 731 and gets 1549. Round to the nearest hundred to check. Is that answer reasonable?
- Yes, it is close to the estimate
- No, it is far from the estimate
No, it is far from the estimate
Hint: Round: about 500 + 700 = 1200.
Question 5
Zoe has 3 cards and gets 17 more. Zoe shares all the cards equally among 4 friends. How many cards does each friend get?
- 8
- 4
- 6
- 15
- 5
5
Hint: First 3 + 17 = 20. Then 20 ÷ 4.
Question 6
Zoe adds 883 + 390 and gets 1273. Round to the nearest hundred to check. Is that answer reasonable?
- No, it is far from the estimate
- Yes, it is close to the estimate
Yes, it is close to the estimate
Hint: Round: about 900 + 400 = 1300.