Multiplication and Division, Part 1

Lesson 16

Math

Unit 2

3rd Grade

Lesson 16 of 21

Objective


Solve two-step word problems involving all four operations.

Common Core Standards


Core Standards

  • 3.OA.D.8 — Solve two-step word problems using the four operations. 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. This standard is limited to problems posed with whole numbers and having whole-number answers; students should know how to perform operations in the conventional order when there are no parentheses to specify a particular order (Order of Operations).

Foundational Standards

  • 3.NBT.A.2

Criteria for Success


  1. Make sense of a three-act task and persevere in solving it (MP.1).
  2. Solve two-step word problems involving addition, subtraction, multiplication, and division (MP.4). 
  3. Represent word problems using equations with a letter standing for the unknown quantity (see Tips for Teachers) (MP.2).
  4. Assess the reasonableness of an answer (MP.1).

Tips for Teachers


  • As mentioned in Lesson 15, students should write separate equations for each step of the problem. This is because students have not yet encountered parentheses, which play an important role in many multi-step equations. Students will be introduced to parentheses in Unit 3, at which point they will represent two-step word problems with a single equation in limited cases.
  • Today's lesson is the first one in which students will solve a 3-Act Task in 3rd grade. To learn more about this lesson structure, read Dan Meyer's blogpost, The Three Acts of a Mathematical Story.
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Anchor Tasks

25-30 minutes


Problem 1

Act 1: Watch the video Sugar Act 1.

a.   What do you notice? What do you wonder?

b.   How many sugar packets are there? Make an estimate. 

Guiding Questions

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Student Response

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References

Exit 10A Hey Look! I Made a 3-Act!

Hey Look! I Made a 3-Act! is made available by Joe Schwartz on Exit 10A. Accessed Oct. 10, 2018, 4:10 p.m..

Modified by Fishtank Learning, Inc.

Problem 2

Act 2: Use the following information to determine how many total packets there are –

Guiding Questions

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Student Response

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References

Exit 10A Hey Look! I Made a 3-Act!

Hey Look! I Made a 3-Act! is made available by Joe Schwartz on Exit 10A. Accessed Oct. 10, 2018, 4:10 p.m..

Modified by Fishtank Learning, Inc.

Problem 3

Act 3: There are 110 packets of sweetener. Was your estimate reasonable? Why or or why not?

Guiding Questions

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Student Response

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References

Exit 10A Hey Look! I Made a 3-Act!

Hey Look! I Made a 3-Act! is made available by Joe Schwartz on Exit 10A. Accessed Oct. 10, 2018, 4:10 p.m..

Modified by Fishtank Learning, Inc.

Problem 4

Act 4 (sequel): 

The teachers have used 75 of the packets in the video. If they use 5 packets of sweetener per day, how many days will the remaining packets last? 

Guiding Questions

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Student Response

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Problem Set

15-20 minutes


Discussion of Problem Set

  • What made #3 a bit more difficult than the previous problems? What information did you use first to solve? Where did that information show up in the problem? 
  • What made #6 a bit more difficult than the previous problems? 
  • Did anyone attempt the challenge in #7? How did you approach solving?

Target Task

5-10 minutes


Mason buys a container of strawberries. There are 27 strawberries in total in the container. He eats 3 strawberries right when he gets home. He then puts the remaining strawberries into baggies of 4 strawberries each to have every day as a snack. How many days will his strawberries last? Show or explain your work.

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.

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.

Next

Create scaled picture graphs where the scale is provided.

Lesson 17
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Lesson Map

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

Topic A: The Meaning of Multiplication and Division

Topic B: Multiplication and Division by 2, 5, and 10

Topic C: Multiplication and Division by 3 and 4

Topic D: More Complex Multiplication and Division Problems

Topic E: Scaled Picture and Bar Graphs

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