Place Value, Rounding, Addition, and Subtraction

Lesson 14

Math

Unit 1

4th Grade

Lesson 14 of 19

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

  • 4.NBT.B.4 — Fluently add and subtract multi-digit whole numbers using the standard algorithm.

Foundational Standards

  • 3.NBT.A.2

Criteria for Success


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

Tips for Teachers


Students have solved one-step word problems involving addition in previous grade levels (1.OA.1, 2.OA.1, 3.OA.8), just not yet with whole numbers of this magnitude. So, the intention of the word problems in this lesson 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).

Lesson Materials

  • Random number generator (1 per teacher) — Teachers can use any 1 of these materials: a ten-sided die, a spinner of digits 0-9, Digit Cards for 0-9, or an online random number generator
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Anchor Tasks


Problem 1

Randomly select a digit 0–9 (by using a ten-sided die, a spinner, or a random number generator). Whatever number it lands on, enter the digit 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.

Guiding Questions

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References

Math for Love Don't Break the Bank!

Problem 2

Estimate. Then solve. 

a.   $$\begin{align} 207,426 \\ {+ \ 128,744}& \\ \hline \end{align}$$

b.   252, 393 = $$\square$$ − 747,607

c.    $$k$$  = 94,989 + 619,732 + 4,506

Guiding Questions

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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? 

Guiding Questions

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Problem Set


Answer Keys

Unlock the answer keys for this lesson's problem set and extra practice problems to save time and support student learning.

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?

Target Task


Problem 1

Solve. Show or explain your work.

a.   5,638 + 4,274 = $$\square$$

b.   _____ = 6,895 + 25,194

c.   $$\begin{align} 680,453 \\ {+\ 243,679}& \\ \hline \end{align}$$

Student Response

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Problem 2

The Miami Marlins played the New York Mets for three games. They sold 16,352 to the first game, 12,673 tickets to the second game, and 8,706 tickets to the third game. How many tickets did they sell to the three games?

Student Response

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Additional Practice


The Extra Practice Problems can be used as additional practice for homework, during an intervention block, etc. Daily Word Problems and Fluency Activities are aligned to the content of the unit but not necessarily to the lesson objective, therefore feel free to use them anytime during your school day.

Extra Practice Problems

Answer Keys

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Word Problems and Fluency Activities

Word Problems and Fluency Activities

Help students strengthen their application and fluency skills with daily word problem practice and content-aligned fluency activities.

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Lesson 13

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Lesson 15

Lesson Map

A7CB09C2-D12F-4F55-80DB-37298FF0A765

Topic A: Place Value of Multi-Digit Whole Numbers

Topic B: Reading, Writing, and Comparing Multi-Digit Whole Numbers

Topic C: Rounding Multi-Digit Whole Numbers

Topic D: Multi-Digit Whole-Number Addition and Subtraction

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