Curriculum / Math / 6th Grade / Unit 5: Numerical and Algebraic Expressions / Lesson 12
Math
Unit 5
6th Grade
Lesson 12 of 12
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Lesson Notes
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Write algebraic expressions for application situations (Part 2).
The core standards covered in this lesson
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.
The foundational standards covered in this lesson
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.
The essential concepts students need to demonstrate or understand to achieve the lesson objective
Suggestions for teachers to help them teach this lesson
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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Problems designed to teach key points of the lesson and guiding questions to help draw out student understanding
25-30 minutes
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.
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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.
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.
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..
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?
A set of suggested resources or problem types that teachers can turn into a problem set
15-20 minutes
Give your students more opportunities to practice the skills in this lesson with a downloadable problem set aligned to the daily objective.
A task that represents the peak thinking of the lesson - mastery will indicate whether or not objective was achieved
5-10 minutes
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?
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.
Topic A: Numerical Expressions with Exponents
Understand the meaning of exponents.
Standards
6.EE.A.1
Evaluate numerical expressions involving whole-number exponents.
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Topic B: Introduction to Algebraic Expressions
Use variables to write algebraic expressions.
6.EE.A.26.EE.A.2.C6.EE.B.6
Evaluate algebraic expressions.
6.EE.A.26.EE.A.2.C
Write expressions for verbal statements and vice versa (Part 1).
6.EE.A.2.A6.EE.A.2.B
Write expressions for verbal statements and vice versa (Part 2).
Topic C: Equivalent Expressions & Applications
Identify equivalent expressions (Part 1).
6.EE.A.36.EE.A.4
Identify equivalent expressions (Part 2).
Write equivalent expressions using the distributive property (Part 1).
Write equivalent expressions using the distributive property (Part 2).
Write algebraic expressions for application situations (Part 1).
6.EE.B.6
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