Numerical and Algebraic Expressions

Lesson 12

Math

Unit 5

6th Grade

Lesson 12 of 12

Objective


Write algebraic expressions for application situations (Part 2).

Common Core Standards


Core Standards

  • 6.EE.B.6 — Use variables to represent numbers and write expressions when solving a real-world or mathematical problem; understand that a variable can represent an unknown number, or, depending on the purpose at hand, any number in a specified set.

Foundational Standards

  • 4.OA.A.3

Criteria for Success


  1. Define variables for real-world contexts with precision (MP.2 and MP.6).
  2. Write expressions with variables to represent real-world situations involving addition, subtraction, multiplication, or division, or a combination of operations.

Tips for Teachers


Lessons 11 and 12 focus on writing expressions with variables to represent real-world contexts and situations. Lesson 12 includes situations where more than one operation is involved.

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Anchor Problems


Problem 1

Some of the students at Kahlo Middle School like to ride their bikes to and from school. They always ride unless it rains.

Let $$d$$ be the distance in miles from a student’s home to the school. Write two different expressions that represent how far a student travels by bike in a four-week period if there is one rainy day each week.

Guiding Questions

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References

Illustrative Mathematics Distance to School

Distance to School, accessed on Dec. 19, 2017, 11:50 a.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.

Problem 2

The Italian Villa Restaurant has square tables that the servers can push together to create longer tables and seat larger groups of customers. Only one chair fits along a side of the square table. A few examples are shown below.

Complete the chart below to determine how many seats a long rectangular table can hold when square tables are pushed together. In the last row, write an expression using $$T$$ to represent the number of square tables making up a long rectangular table.

Number of square tables Number of seats at the table
1  
2  
3  
4  
50  
200  
T  

Guiding Questions

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References

EngageNY Mathematics Grade 6 Mathematics > Module 4 > Topic F > Lesson 21Mathematical Modeling Exercise

Grade 6 Mathematics > Module 4 > Topic F > Lesson 21 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

Jackson is collecting school spirit points that he can use at the school store at the end of the year. He has $${90}$$ points from September and sets a plan to earn $${110}$$ points each month starting in October. 

If Jackson sticks to his plan, how many points will he have after $$m$$ months?

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Guiding Questions

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Problem Set

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Target Task


Ms. Pearson buys a large package of $${75}$$ batteries. She uses $$8$$ batteries right away and anticipates using $$6$$ batteries every month. How many batteries will Ms. Pearson have left after $$m$$ months?

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Additional Practice


The following resources include problems and activities aligned to the objective of the lesson that can be used for additional practice or to create your own problem set.

  • Include multiple-choice problems similar to Anchor Problem #3 and the Target Task
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Lesson 11

Lesson Map

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

Topic A: Numerical Expressions with Exponents

Topic B: Introduction to Algebraic Expressions

Topic C: Equivalent Expressions & Applications

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