Curriculum / Math / 6th Grade / Unit 5: Numerical and Algebraic Expressions / Lesson 11
Math
Unit 5
6th Grade
Lesson 11 of 12
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Write algebraic expressions for application situations (Part 1).
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 11 focuses on situations with only one operation involved.Â
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Problems designed to teach key points of the lesson and guiding questions to help draw out student understanding
Read each story problem. Identify the unknown quantity, and write an addition or subtraction expression to represent the problem. Finally, evaluate your expression using the information given in the fourth column.
Grade 6 Mathematics > Module 4 > Topic F > Lesson 18 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..
Kelly and Cristina share a birthday, but Kelly is older. The table below shows some of their ages.
Cristina's age (in years)
a. If Cristina is $${16}$$ years old, how old is Kelly?
b. If Cristina is $$C$$ years old, how old is Kelly?
c. If Kelly is $$K$$ years old, how old is Cristina?
Grade 6 Mathematics > Module 4 > Topic F > Lesson 19 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..
In Massachusetts, there is a deposit on all carbonated beverage cans and bottles. When you return the empty can or bottle, you get the deposit back in a refund. The table below shows the amount of money refunded for different numbers of cans or bottles.
a. If $$C$$ represents the number of containers returned, what expression represents the amount of refund in dollars?
b. How much money would you receive in a refund if you returned 222 cans?
c. If you received a refund of $4.50, how many containers did you return?
Grade 6 Mathematics > Module 4 > Topic F > Lesson 20 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..
A set of suggested resources or problem types that teachers can turn into a problem set
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
Abel runs at a constant rate. The table below shows how far Abel has run after a certain number of hours.
a. How many miles did Abel run after $$3$$ hours?
b. Write an expression to represent the number of miles Abel ran after $$h$$ hours.
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.
Lesson 10
Lesson 12
Topic A: Numerical Expressions with Exponents
Understand the meaning of exponents.
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.2 6.EE.A.2.C 6.EE.B.6
Evaluate algebraic expressions.
6.EE.A.2 6.EE.A.2.C
Write expressions for verbal statements and vice versa (Part 1).
6.EE.A.2.A 6.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.3 6.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).
6.EE.B.6
Write algebraic expressions for application situations (Part 2).
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