Multiplication and Division of Whole Numbers

Lesson 3

Math

Unit 2

5th Grade

Lesson 3 of 20

Objective


Write expressions that represent real-world situations and evaluate them.

Common Core Standards


Core Standards

  • 5.OA.A.1 — Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols.
  • 5.OA.A.2 — Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation "add 8 and 7, then multiply by 2" as 2 × (8 + 7). Recognize that 3 × (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product.

Foundational Standards

  • 3.OA.D.8
  • 4.OA.A.3

Criteria for Success


  1. Make sense of a three-act task and persevere in solving it (MP.1). 
  2. Write an expression or equation to represent a real-world context, including using a letter to represent an unknown (MP.2, MP.7). 
  3. Evaluate an expression that represents a real-world context (MP.2, MP.7). 
  4. Interpret an expression that represents a real-world context without evaluating it (MP.2).

Tips for Teachers


For the Problem Set, let students work on each problem on 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 and how to represent that tape diagram with an expression, then allow them to try again on their own. 

Fishtank Plus

Unlock features to optimize your prep time, plan engaging lessons, and monitor student progress.

Anchor Tasks


Problem 1

Act 1: Watch the video The Beanbag Dartboard Round 1 Act One.

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

b.   Based on how you score points in this game, how many points did the girl get? Make an estimate.

Guiding Questions

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

Problem 2

Act 2: Use the following information to solve:

The child earned 44 points in total.

Write expressions that could represent how the student earned all 44 points.

Guiding Questions

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

Problem 3

Act 3: Watch the video, The Beanbag Dartboard Round 1 Act Three, to see the solution. Was your answer reasonable? Why or why not?

Guiding Questions

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

Problem 4

Act 4 (The Sequel): The girl played another round. She represented her tosses with the equation $$(3 \times 5) + 2 \times (1 \times 7) + (2 \times 4) = s$$, where $$s$$ represents the student’s final score.

a.   What was the student’s final score?

b.   What must the student have tossed?

Guiding Questions

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

References

Illustrative Mathematics Video Game Scores

Video Game Scores, accessed on March 20, 2018, 3:23 p.m., is licensed by Illustrative Mathematics under either the CC BY 4.0 or CC BY-NC-SA 4.0. For further information, contact Illustrative Mathematics.

Modified by Fishtank Learning, Inc.

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 #2. Did anyone solve without finding the total amount earned by both Natalie and Drew? How did you do it? 
  • Look at #3. What expression did you write? How did you use that to figure out what may have happened in Leila’s game? 
  • Look at #4. What expression did you write for Part (a)? Is there more than one correct answer? How did your expression change for when Mr. Lee doubled the number of boxes?

Target Task


a.   A baker has 32 ounces of flour. They will use 8 ounces of flour for each of 2 loaves of bread and 5 ounces of flour for each of 3 batches of cookies. 

  • Write an expression that represents the number of ounces of flour left after they use what they need for the bread and cookies. 
  • Then evaluate your expression to determine how much flour the baker has left.

b.   A different baker has 48 ounces of flour. They will use 6 ounces of flour for each cake that they make. Write an equation to show how many cakes they can make with all of their flour. Use $$c$$ as the unknown number of cakes in your question. Do not solve the equation.

Student Response

Create a free account or sign in to view Student Response

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

Answer keys for Problem Sets and Extra Practice Problems are available with a Fishtank Plus subscription.

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.

icon/arrow/right/large copy

Lesson 2

icon/arrow/right/large

Lesson 4

Lesson Map

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

Topic A: Writing and Interpreting Numerical Expressions

Topic B: Multi-Digit Whole Number Multiplication

Topic C: Multi-Digit Whole Number Division

Request a Demo

See all of the features of Fishtank in action and begin the conversation about adoption.

Learn more about Fishtank Learning School Adoption.

Contact Information

School Information

What courses are you interested in?

ELA

Math

Are you interested in onboarding professional learning for your teachers and instructional leaders?

Yes

No

Any other information you would like to provide about your school?

Effective Instruction Made Easy

Effective Instruction Made Easy

Access rigorous, relevant, and adaptable math lesson plans for free