# Place Value, Rounding, Addition, and Subtraction

## Objective

Fluently add multi-digit whole numbers using the standard algorithm involving multiple 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.

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• 3.NBT.A.2

## Criteria for Success

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1. Add multi-digit numbers with multiple compositions.
2. Add up to three different numbers with multiple compositions.
3. Solve one-step word problems involving addition with multiple compositions, using a letter to represent the unknown (MP.4).

## Tips for Teachers

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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).

### Remote Learning Guidance

If you need to adapt or shorten this lesson for remote learning, we suggest prioritizing Anchor Task 2 (benefits from worked example). Find more guidance on adapting our math curriculum for remote learning here.

#### Fishtank Plus

• Problem Set
• Student Handout Editor
• Vocabulary Package

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### Problem 1

The teacher will randomly select a number 0–9 (by using a ten-sided die, a spinner, or a random number generator). Whatever number it lands on, enter it in one of the eight spots below. After eight turns, the board becomes an addition problem with two 4-digit numbers to add together. The goal is to place the numbers in strategic places to get the highest sum without going over 10,000.

#### References

Math for Love Don't Break the Bank!

### Problem 2

Estimate. Then solve.

1.          2 0 7 , 4 2 6

+   1 2 8 , 7 4 4

1.    252, 393 = $\square$ – 747,607

1.    $k$  = 94,989 + 619,732 + 4,506

#### References

EngageNY Mathematics Grade 4 Mathematics > Module 1 > Topic D > Lesson 11Concept Development

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 3

Tom Brady has 66,159 career passing yards. Peyton Manning, the all-time leading quarterback with the most career passing yards, has 5,781 more passing yards than Tom Brady does. How many passing yards does Peyton Manning have?

## Problem Set & Homework

### Discussion of Problem Set

• Look at #1(a) and #1(b). How could you have used #1(a) to solve #1(b)?
• Look at #1(e). What did you get? Why is your answer larger than the two numbers in the problem if it’s a subtraction problem?
• Look at #1(g). What is the value of g?
• Look at #4(a). How did you model this problem? What made it more difficult than the previous two problems?
• Look at #4(b). How did you model this problem? What made it different from the previous three problems?

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### Problem 1

Solve. Show or explain your work.

a.            23,607

+   2,307

b.     _____ = 3,948 + 278

c.       5,983

+  2,097

#### References

EngageNY Mathematics Grade 4 Mathematics > Module 1 > Topic D > Lesson 11Exit Ticket, Question #1

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 2

The office supply closet had 25,473 large paperclips, 13,648 medium paperclips, and 15,306 small paperclips. How many paperclips were in the closet?

#### References

EngageNY Mathematics Grade 4 Mathematics > Module 1 > Topic D > Lesson 11Exit Ticket, Question #2

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..