Multi-Digit Multiplication

Lesson 23

Objective

Solve multi-step word problems involving multiplication, addition, and subtraction and assess the reasonableness of answers.

Common Core Standards

Core Standards

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  • 4.OA.A.3 — Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations, including problems in which remainders must be interpreted. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding.

Foundational Standards

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  • 3.MD.C.7.B

  • 3.MD.D.8

  • 4.NBT.B.4

  • 3.OA.D.8

Criteria for Success

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  1. Make sense of a three-act task and persevere in solving it (MP.1).
  2. Solve multi-step word problems involving multiplication, addition, and subtraction (MP.4). 
  3. Assess the reasonableness of an answer (MP.1).

Tips for Teachers

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  • This lesson provides an opportunity to connect two domains in the grade, 4.OA and 4.NBT, since students will be solving multi-step word problems involving addition, subtraction, and multiplication and assessing the reasonableness of their answers using rounding, thus connecting standards 4.OA.3, 4.NBT.3, 4.NBT.4, and 4.NBT.5.
  • Let students work on each problem in the Problem Set independently and circulate to see whether students are solving correctly. If not, come back together to discuss how/what to draw on a tape diagram, then allow them to try again on their own. 
  • Encourage students to use a strategy of their choice to assess the reasonableness of their answer.

Remote Learning Guidance

This lesson does not have any identified priority Anchor Tasks, but students should complete the Problem Set independently rather than skipping the lesson entirely. Find more guidance on adapting our math curriculum for remote learning here.

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  • Problem Set
  • Student Handout Editor
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Anchor Tasks

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Problem 1

Act 1: Look at the following images.

 

 

 

 

 

 

 

Which batch of chocolate chip cookies has the most chocolate chips in it? How many more?

Guiding Questions

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References

101Questions Cookie Problem

Cookie Problem by Gaelen is made available on 101Questions under the CC BY 3.0 license. Accessed Jan. 8, 2018, 2:47 p.m..

Modified by The Match Foundation, Inc.
101Questions Chocolate Chip Cookie Problem

Chocolate Chip Cookie Problem by Gaelen is made available on 101Questions under the CC BY 3.0 license. Accessed Jan. 8, 2018, 2:46 p.m..

Modified by The Match Foundation, Inc.

Problem 2

Act 2: Use the following information to solve.

Batch 1 Batch 2

One cookie:

One cookie:

I counted three times as many chocolate chips in this cookie than in the cookie from Batch 1.

 

 

 

 

The whole batch:

The whole batch:

Guiding Questions

Create a free account or sign in to access the Guiding Questions for this Anchor Problem.

References

101Questions Chocolate Chip Cookie Problem

Chocolate Chip Cookie Problem by Gaelen is made available on 101Questions under the CC BY 3.0 license. Accessed Jan. 8, 2018, 2:46 p.m..

Modified by The Match Foundation, Inc.
101Questions Cookie Problem

Cookie Problem by Gaelen is made available on 101Questions under the CC BY 3.0 license. Accessed Jan. 8, 2018, 2:47 p.m..

Modified by The Match Foundation, Inc.

Problem 3

Act 3: 

Batch 1 Batch 2

Guiding Questions

Create a free account or sign in to access the Guiding Questions for this Anchor Problem.

References

101Questions Chocolate Chip Cookie Problem

Chocolate Chip Cookie Problem by Gaelen is made available on 101Questions under the CC BY 3.0 license. Accessed Jan. 8, 2018, 2:46 p.m..

Modified by The Match Foundation, Inc.
101Questions Cookie Problem

Cookie Problem by Gaelen is made available on 101Questions under the CC BY 3.0 license. Accessed Jan. 8, 2018, 2:47 p.m..

Modified by The Match Foundation, Inc.

Problem 4

Act 4: There are about 300 chocolate chips in a cup. About how many cups of chocolate chips are in both batches?

Guiding Questions

Create a free account or sign in to access the Guiding Questions for this Anchor Problem.

References

101Questions Cookie Problem

Cookie Problem by Gaelen is made available on 101Questions under the CC BY 3.0 license. Accessed Jan. 8, 2018, 2:47 p.m..

Modified by The Match Foundation, Inc.
101Questions Chocolate Chip Cookie Problem

Chocolate Chip Cookie Problem by Gaelen is made available on 101Questions under the CC BY 3.0 license. Accessed Jan. 8, 2018, 2:46 p.m..

Modified by The Match Foundation, Inc.

Problem Set & Homework

Discussion of Problem Set

  • How was #1 similar to the other problems we did today? How was it different? 
  • How was setting up #2 similar to setting up #3? At what point did the two problems become quite different? 
  • What piece of information did you need to know to solve #2 that was not given to you in the problem? 

Target Task

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Solve. Show or explain your work. 

Michael earns $9 per hour. He works 28 hours each week. David earns $8 per hour. He works 40 hours each week. After 6 weeks, who earns more money? How much more money?

References

EngageNY Mathematics Grade 4 Mathematics > Module 3 > Topic D > Lesson 13Exit Ticket, Questions #1-3

Grade 4 Mathematics > Module 3 > Topic D > Lesson 13 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 The Match Foundation, Inc.

Mastery Response

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Additional Practice

Unit Practice

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