Curriculum / Math / 6th Grade / Unit 5: Numerical and Algebraic Expressions / Lesson 8
Math
Unit 5
6th Grade
Lesson 8 of 12
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Identify equivalent expressions (Part 2).
The core standards covered in this lesson
6.EE.A.3 — Apply the properties of operations to generate equivalent expressions. For example, apply the distributive property to the expression 3 (2 + x) to produce the equivalent expression 6 + 3x; apply the distributive property to the expression 24x + 18y to produce the equivalent expression 6 (4x + 3y); apply properties of operations to y + y + y to produce the equivalent expression 3y.
6.EE.A.4 — Identify when two expressions are equivalent (i.e., when the two expressions name the same number regardless of which value is substituted into them). For example, the expressions y + y + y and 3y are equivalent because they name the same number regardless of which number y stands for.
The essential concepts students need to demonstrate or understand to achieve the lesson objective
Suggestions for teachers to help them teach this lesson
Lessons 7 and 8 introduce the concept of equivalent expressions to students. In these two lessons, they develop the understanding that $${y+y+y}$$ is equivalent to $${3y}$$, regardless of what y represents. Lessons 9 and 10 will address the distributive property.Â
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Problems designed to teach key points of the lesson and guiding questions to help draw out student understanding
Watch the video "Consecutive Sums" by Mike Wiernicki
a. What do you notice? What do you wonder?
b. How can the performer know the sum so quickly for any number chosen? Determine how the trick works and how you can quickly find the sum for any number chosen.
Consecutive Number Sums by Mike Wiernicki is made available on Under the Dome at https://mikewiernicki.com/consecutive-number-sums/. Accessed Dec. 18, 2017, 5:01 p.m..
A pentagon and a rectangle are shown below.
Do the two polygons have equivalent perimeters? Explain your reasoning.
Are the two expressions below equivalent? Explain your reasoning.
$${4+x+2+y}$$ $${4x+2y}$$
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
Students were asked to write a pair of equivalent expressions. The work of four students is shown below.
Which student(s) wrote an equivalent pair of expressions? Justify your answer.
An example response to the Target Task at the level of detail expected of the students.
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 7
Lesson 9
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
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
Write algebraic expressions for application situations (Part 2).
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