Roselle School District
Grade 7 Pre-Algebra Honors Curriculum
Unit 2
Essential Question(s)
How are the four basic operations related to one another?
When are algebraic and numeric expressions used?
What strategies can be used to solve for unknowns in algebraic
expressions?
What does it mean to solve an equation?
How do you know your solution is correct?
Enduring Understanding(s)
Relationships among quantities can often be expressed symbolically
in more than one way.
A variety of phenomena and relationships in mathematics can be
represented, modeled, and analyzed using patterns and functions.
Problem solving is knowing what to do when confronted with
unfamiliar problems.
Common Core Standards, 2010
EE 1. Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.
EE 2. Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are
related.
EE 3. Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers,
fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as
appropriate; and assess the reasonableness of answers using mental computation and estimation strategies.
EE 4. Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations.
EE 4a. Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve
equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each
approach.
EE 4b. Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational numbers. Graph the
solution set of the inequality and interpret it in the context of the problem.
W.7.2. Write informative/explanatory texts to examine a topic and convey ideas, concepts, and information through the selection, organization, and
analysis of relevant content.
Learning Expectations
TLWBAT…
Activities/Resources
Student Strategies
Formative
Assessments
Solve simple linear
equations informally and
graphically.
Using paper-and-pencil,
calculators, graphing
calculators, spreadsheets,
and other technology
Introductory power point presentation:
Translating Words into Expressions;
Combining Like Terms; Equations & True
Solutions; Solving Equations with Integers
Teacher introduces lessons with
introductory interactive power point,
modeling creation of expressions for
students, combining like terms, equations
and their solutions, and solving equations
with integers
Students solve practice problems on the
SmartBoard/Starboard and explain how
their answers for classmates
Independent practice:
“Online Classroom” Google site
Students practice above-mentioned skills
at their own pace while teacher circulates
doing small-group instruction and
interventions for those students who need
extra help
Students complete “Integers Face Math”
activity wherein students solve one and
two-step equations involving integers and
create a mystery picture based upon their
responses
Students solve one-step equations using
all operations to isolate the variable in
real-world situations (p. 88-92)
Small group instruction
Individualized instruction
Peer tutoring
Computer activities for
remediation
Choice activities: 2-5-8 Menu
Solving Equations
Chunking information
Rephrasing of questions
Working with partner
Exit ticket:
1. Luis solved for the
variable in the
equation n/2 = 18.
His answer is n =
9. Is Luis correct?
Why or why not?
Explain.
Solve one-step equations
using all four operations
Solve word problems
using real-life examples
and equations

Review three guiding
questions:
1. What is the variable?
2. What operation is
being performed on
it?
3. What is the inverse
operation?
Writing Expressions &
Combining Like Terms
Solving One-step
Equations
Solving Two-Step
Equations
Solving Multi-step
Equations
Do now
Quiz: Formative
Assessments:
Writing Expressions
and Combining Like
Terms
Solving Two-step and
Multi-step Equations
Test
Oral questioning
Directed paraphrasing
One-sentence
summary
Homework
Combining Like
Terms, Writing
Expressions & Solving
Equations Quiz
Technology
Infusion/Resources
Teacher-created
interactive Power Point
Presentations with
Smartboard/Starboard
Teacher-created
“OnlineClassroom”
Google site
http://www.saddleback.e
du/faculty/lperez/alg
ebra2go/prealgebra/a
ddition/wordStateAd
dSub1.html
Solve multi-step
equations using all four
operations
Solve multi-step
equations with rational
coefficients
Check reasonableness of
answers using estimation
Students create an equations fortune
teller and solve it with friends.
http://www.teacherspayteachers.com/P
roduct/Solving-Equations-Fortune-TellerPacket
Introductory interactive Power point
modeling multi-step equation solutions by
isolation of the variable using the inverse
operations
Students complete “Solving Equations 2-58 Menu”
Students solve multistep equations with
paper and pencil (pg. 349-352)
Teacher models solving two-step
equations with decimals by isolating the
variable using all four operations
Students solve two-step equations with
decimals (pgs. 353-357)
Model checking reasonableness of
answers using estimation for students
Have students estimate their answers
prior to solving equations
"Order, Please!" card on which you
have written an equation. Each student
is to solve the equation, showing the
appropriate steps, then on the signal,
"Order, please!" all students should
line up in the order of the solutions.
Starting at the negative end, students
should pair up. Beginning with the
partner with the least value, they
should show and describe their
solution. Partner feedback should be
Small group instruction
Individualized instruction
Peer tutoring
Use of manipulatives
Computer activities for
remediation
Choice activities: Solving
Equations 2-5-8 Menu
Chunking information
Rephrasing of questions
Working with partner
Video tutorials from
textbook
Exit ticket: Solving
multi-step equations
Journal entry: Explain
how to solve multistep equations
Do now
Quiz
Oral questioning
Homework
A certain Math Club
makes 35 bars of
laundry soap a week
and sells these at $20
each. Before the soap
can all be sold, the
pupils found out that 6
bars were destroyed
by mice. How much
will be the total sale at
the end of a four-week
month? Write an
expression and show
your work and answer
2-5-8 Menu
http://mathsnet.net/alge
bra/equation.html
http://www.quia.com/rr
/4096.html
http://www.makebeliefsc
omix.com/Comix/
http://www.readwrit
ethink.org/files/reso
urces/interactives/co
mic/index.html
http://gasbuddy.com/gb_
gastemperaturemap.aspx
PenCast using LiveScribe
Pen
Power point
Microsoft Publisher
Flip Camera
http://www.mathplay.com/One-StepEquation-Game.html
Jeopardy Game
https://jeopardylabs.co
m/play/solvingequations-review6
given, as well as teacher help when
needed.
Equations Bingo Game
Students create an Algebra Sandwich
using each piece of the sandwich to
display every step taken to solve an
equation.
Multi-Step Equation Row Game – Students
work with a partner to solve two separate
equations. They should both get the same
answers.
Construct simple
equations and
inequalities to solve
problem
Graph the solution set of
the inequality
Teacher provides inequality scenario
where students explain the inequality in
words and teacher models the written
inequality from students’ word
Teacher models inequalities and their
graphs on a number line
Students graph solutions of inequalities on
a number line and write inequalities to
describe graphs presented to them or
from real-world scenarios provided
Students select activities from the tic-tactoe menu to demonstrate mastery of
solving inequalities with one-step, twostep, and multi-step inequalities and
graphing of the solution sets
Students will get into groups of 4. On
a poster board located around the
room will be 5 different word
problems. Students will go up to each
Small group instruction
Individualized instruction
Peer tutoring
Computer activities for
remediation
Choice activities
Chunking information
Rephrasing of questions
Working with partner
Video tutorials on
“inequality online
classroom”
Exit ticket: Solving and
graphing inequalities
Do now
Quiz
Test
Oral questioning
Homework
Inequalities Tic-Tac-Toe
Menu
http://www.brainpop.co
m/math/dataanalysis/gr
aphingandsolvinginequal
ities
http://www.aaamath.co
m/equ725x7.htm
http://www.brainpop.co
m/math/dataanalysis/in
equalities/
http://www.quia.com/rr
/438640.html
one and highlight what they think are
the keywords. Beneath it they will
write down the equation and solve it
in their notebooks. They will then
move onto to the next problem. We
will go over it as a class. The group
with the most correct answers will
each win a Wildcat Buck.
Solve word problem
inequalities with a
starting amount and a
rate of change (variables
on one side of the
equation only)
Introductory interactive Power Point:
Reading, writing and graphing
inequalities
Solving Inequalities by Adding and
Subtracting
Solving Inequalities by Multiplying and
Dividing
Teacher models solution of one-step
inequalities by using all four operations
with specific emphasis on word problems
and real-world scenarios
Students solve one-step inequalities using
all operations with real-world word
problems (pgs. 106-114)
Students will be placed into two
teams. Each team will chose their
own team captain. Students will be
shown a word problem on the board
on which they will be given only 5
minutes to solve as a group. Teacher
will pick randomly pick a name from
each group to come up and present
how they found their answer. In order
Small group instruction
Individualized instruction
Peer tutoring
Computer activities for
remediation
Choice activities
Chunking information
Rephrasing of questions
Working with partner
Video tutorials from
textbook
Exit ticket
Do now
Quiz
Test
Oral questioning
Homework
Introductory Power
Point
Students use
responders
http://www.algebralab.
org/practice/practice.as
px?file=word_inequalitie
s.xml
to determine who goes first, those 2
students must answer basic skills
problem. Whoever answers the fastest
goes last. The team who wins will
receive Wildcat Bucks.
Inequality Heart Puzzle- Students will
match pieces of the puzzle with
equivalent inequality creating a heart.
Inequality Scavanger Hunt
Students are provided word problems in a
tic-tac-toe template. They must choose
and solve problems in tic-tac-toe format.
Students are provided a bag of 10 index
cards with word problems on them. They
must chose 6 word problems and one of
them has to have a smiley face on it
(those are challenging). They can work in
pairs or groups.
Summative Assessment Task
Unit Map
Unit # and
Timeline
Topic(s)
Unit 1
Fraction

Fraction Operation
Integers

Integer Operation
Equations


Inequalities


Distributive Property
Creating, and solving equations from realworld problems.
Isolating the Variable
Creating, Solving and graphing
inequalities from real world problems
Fraction Operation
Converting Fraction to Decimal to Percent
Sept. 2012 – October 22, 2012
( 7 weeks)
Unit 2
October 24, 2012– January 04, 2012
Skill(s)
(6 weeks)
*Hurricane Sandy, Thanksgiving break +
Winter Break
Unit 3
January 7, 2013 –January 24, 2013
(3 weeks)
Rational Numbers

