Grade 6 Math-Expressions & Equations

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Content Area Algebra Target Course/Grade level
Essential Questions
6
Unit Title Expressions and Equations
Unit Overview Serves as an abstract; a brief paragraph summarizing the unit or project
6.EE
Apply and extend previous understandings of
arithmetic to algebraic expressions.
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Process Standards:
Problem Solving
Reasoning and Proof
Communication
Connections
Representation
Evidence of
Learning
Formative and
Summative measures
Lessons and Activities
The learning experiences that will facilitate
engagement and achievement
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Discuss the difference between an expression 
and an equation.
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Explain that when using exponents that 2 to the
3rd power is not the same as 2x3.
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Review order of operations.
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Explain that order must be the same as they are
in the written words.
After lesson is taught, play Millionaire as a class.
(In resources)
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Have students create their own examples and
quiz their classmates.
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Show that b+b+b is the same as 3b and prove
by inserting numbers in for variables.
Ask why b+b+b is not equal to b to the 3rd
power.
Write word problems like “Bill has c cookies. His
brother gives him 10 more. Write an expression
for how many he now has.”
Set Up Shop with Algebra activity – see
Resources
Pre Assessment
Quizzes
Tests
Homework
Written and auditory
responses given by
children during daily
lessons
Mini projects: in class
and out
Culminating Activity
Resources
Books, articles, text, etc.
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Glencoe textbook and
practice worksheets,
including enrichment
worksheets
Skills Intervention for
Pre-Algebra book
Writing Algebraic
Expressions:
http://www.mathgoodi
es.com/lessons/vol7/e
xpressions.html
Millionaire:
http://www.mathplay.com/AlgebraicExpressionsMillionaire/algebraicexpressionsmillionaire.html
Set Up Shop:
http://www.education.
com/activity/article/Sh
op_Algebra_middle/
Study Island
Ixl.com
Brainpop.com
Glencoe textbook and
practice worksheets,
including enrichment
worksheets
Skills Intervention for
Pre-Algebra book
Inequality Jeopardy:
http://www.monroe.ed
u/webpages/gberger/r
esources.cfm?subpage
North Arlington Public Schools
1
Unit Learning Targets
As a result of this segment of learning, students
will…
Page
Standards/
CPI’s
Content Area Algebra Target Course/Grade level
Essential Questions
6
Unit Title Expressions and Equations
Unit Overview Serves as an abstract; a brief paragraph summarizing the unit or project





Process Standards:
Problem Solving
Reasoning and Proof
Communication
Connections
Representation
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Discussion about what makes an equation and 
inequality different from one another.
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Use of guess and check/test strategy for solving
equations and inequalities.
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Use problems like “Johnny has 8 crayons in his 
crayon box. He needs to have a total of 15 for
his project. Write an equation to find how many
crayons Johnny needs. Solve the equation.”
Answer: 8 + c = 15, c = 7 or 7 crayons are
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needed.
Have students create similar types of problems in
groups and present to other classmates to
critique and solve.
Inequalities: I have worked 24 hours so far this
week. I need to work a minimum of 40 hours.
At least how many more hours do I need to
work? Write an inequality and solve. (Can also
be used as an introduction and students can
explain in words how they know the answer.)
Have students create their own inequality
problems as well.
Determine the differences between real world
equation problems vs. inequality problems: one
solution for equation vs. multiple solutions for
inequalities.
Using a number line, graph the results of
equations and inequalities.
For inequalities, students should be aware that
greater than and greater than or equal to will
have different graphs: open circles for greater
than and a closed circle (point) for greater than
or equal to.
Inequality Jeopardy (see resources)
Pre Assessment
Quizzes
Tests
Homework
Written and auditory
responses given by
children during daily
lessons
Mini projects: in class
and out
Culminating Activity
=897
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Inequality Wars game:
http://www.xpmath.co
m/forums/arcade.php?
do=play&gameid=87
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Algebra worksheet
generator:
http://www.math.com/
students/worksheet/al
gebra_sp.htm
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Tutorial:
http://www.shmoop.co
m/basicalgebra/solving-onestep-equations.html
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Game:
http://www.math10.co
m/en/mathgames/games/equalitie
s/games-equationwith-one-variable.html
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Brainpop.com
Glencoe textbook and
practice worksheets,
including enrichment
worksheets
Skills
Intervention for PreAlgebra book
http://nces.ed.gov/nce
skids/help/user_guide/
graph/variables.asp
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Function Machine:
http://www.mathplayg
North Arlington Public Schools
2
Reason about and solve one-variable equations
and inequalities.
Page
6.EE
Content Area Algebra Target Course/Grade level
Essential Questions
6
Unit Title Expressions and Equations
Unit Overview Serves as an abstract; a brief paragraph summarizing the unit or project

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
Process Standards:
Problem Solving
Reasoning and Proof
Communication
Connections
Representation
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To introduce, ask students how they can solve an
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equation with one variable. Then ask how they
can solve an equation with two variables. Can 
you use the same strategy?
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Discuss the meaning of independent and
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dependent outside of math class first. Then, see
if the students can relate the words to math and
equations.
Ask students if they have ever done something 
like this before. Brainstorm words like function,
function tables, x and y, input and output.
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Create function tables out of tissue boxes.
Create function machines out of construction
paper.
Use functions in real world problems like, “I
make $15 an hour. Create a function table
showing how much I would make for working 5,
6, 7, and 8 hours. Write an equation to show
how to solve.”
What’s the function rule? problems
Pre Assessment
Quizzes
Tests
Homework
Written and auditory
responses given by
children during daily
lessons
Mini projects: in class
and out
Culminating Activity

round.com/functionma
chine.html
Game:
http://www.education.
com/activity/article/Eq
uation_Race_fifth/
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Function Machine:
http://teams.lacoe.edu
/documentation/classr
ooms/amy/algebra/56/activities/functionma
chine/functionmachine
5_6.html
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Literature
Connections:
http://www.mathwire.
com/algebra/growingp
atterns.html
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Brainpop.com
3
Represent and analyze quantitative
relationships between dependent and
independent variables.
Page
6.EE
North Arlington Public Schools
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