Place Value, Rounding, Addition, and Subtraction
Lesson 13
Objective
Fluently add multi-digit whole numbers using the standard algorithm involving up to two compositions. Solve one-step word problems involving addition.
Common Core Standards
Core Standards
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4.NBT.B.4 — Fluently add and subtract multi-digit whole numbers using the standard algorithm.
Foundational Standards
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3.NBT.A.2
Criteria for Success
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- Add multi-digit numbers with up to two compositions.
- Solve one-step word problems involving addition with up to two compositions, using a letter to represent the unknown (MP.4).
Tips for Teachers
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- The following materials are needed for today's lesson: Millions Place Value Chart base ten blocks
- When discussing how to line up numbers in order to add or subtract them vertically, emphasize that units need to be lined up because one can only add or subtract like units (ones with ones and tens with tens) as opposed to saying that numbers need to be lined up from right to left. This is an important distinction since lining numbers up from right to left no longer works when students begin working with decimals (e.g., adding 6.4 and 2.08 would result in an incorrect sum if lined up from right to left).
- Students have solved one-step word problems involving addition in previous grade levels (1.OA.1, 2.OA.1, 3.OA.8), so the intention here is to have students solve contextual problems that involve computations expected of this grade level (4.NBT.4) as well as prepare students to solve multi-step word problems involving addition and subtraction later in the unit, and eventually multiplication (Unit 3) and division (Unit 4) (4.OA.3).
- Before the Problem Set, you could have students play "Climbing Chimney Rocks" from Building Conceptual Understanding and Fluency Through Games by the Public Schools of North Carolina. (This game only includes small computational cases, so it may be especially helpful if students would benefit from some practice with smaller values that can be modeled using proportional base ten blocks before working with larger values.)
Remote Learning Guidance
If you need to adapt or shorten this lesson for remote learning, we suggest prioritizing Anchor Task 1 (benefits from worked example). You might decide to facilitate this Anchor Task and Lesson 14's Anchor Task 2 before assigning Problem Sets from either lesson. Find more guidance on adapting our math curriculum for remote learning here.
Anchor Tasks
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Problem 1
Ms. Cole and Ms. Dowling want to know the largest number they can represent with their base ten blocks.
Ms. Dowling has 3 thousands, 3 tens, 1 hundred, and 4 ones. Ms. Cole has 2 thousands, 4 hundreds, 9 tens, and 3 ones. What’s the largest number they could represent with their base ten blocks? Show or explain how you know.
Guiding Questions
Problem 2
Estimate. Then solve.
- 40,762 + 30,473 = _________
- _________ = 121,398 + 50,427
Guiding Questions
References
Grade 4 Mathematics > Module 7 > Topic B > Lesson 11 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..
Modified by Fishtank Learning, Inc.Problem 3
The Lane family took a road trip. During the first week, they drove 907 miles. The second week they spent more time in each place they visited and only drove 287 miles. How many miles did they drive during both weeks?
Guiding Questions
References
Grade 4 Mathematics > Module 1 > Topic D > Lesson 11 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..
Modified by Fishtank Learning, Inc.Problem Set & Homework
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- Problem Set Answer Key
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- Homework Answer Key
Discussion of Problem Set
- Look at #1b. What is the largest place value in the sum? What is the largest place value in each of the addends? Why are they different?
- Look at #1g. Did anyone solve a different way? Are either or both addends near benchmark numbers that can be added together and then adjusted for after adding? How could you use a similar strategy for #2?
- Look at #3. What was Elizabeth’s mistake? How did you fix it?
- Look at #5. This seems to be a takeaway problem. So why can you solve it using addition?
- Do you prefer adding on a place value chart or with the standard algorithm? Why?
- How is recording the regrouped number in the next column when using the standard algorithm related to regrouping on the place value chart?
- If you have 2 addends, can you ever have enough ones to make 2 tens, or enough tens to make 2 hundreds, or enough hundreds to make 2 thousands? Try it out with your partner. What if you have 3 addends?
Target Task
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Solve. Show or explain your work.
- 8,653 + 10,744
- 204,708 + 22,543
Mastery Response
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Additional Practice
Unit Practice
With Fishtank Plus you can access our Daily Word Problem Practice and our content-aligned Fluency Activities created to help students strengthen their application and fluency skills.
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