Roselle School District
Grade 7 Pre-Algebra Honors Curriculum
Unit 1
Essential Question(s)
How are integers and whole numbers alike and different?
What do negative numbers represent?
Enduring Understanding(s)
Integers are useful for noting relative changes or values.
Every numerical operation has an inverse.
Mathematical properties reveal multiple appropriate methods to
compute.
Rational numbers can be expressed in multiple ways.
Common Core Standards, 2010
NS 1b. Understand p + q as the number located a distance |q| from p, in the positive or negative direction depending on whether q is positive or
negative. Show that a number and its opposite have a sum of 0 (are additive inverses).
NS 1c. Understand subtraction of rational numbers as adding the additive inverse, p – q = p + (–q). Show that the distance between two rational
numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts.
NS 2b. Understand that integers can be divided, provided that the divisor is not zero, and every quotient of integers (with non-zero divisor) is a
rational number. If p and q are integers, then –(p/q) = (–p)/q = p/(–q). Interpret quotients of rational numbers by describing real-world contexts.
EE 1. Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.
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
WAL To/That …
Activities/Instructional Procedures
Explain that adding
rational numbers
means having a starting
Introductory video clip: Absolute Value:
www.brainpop.com/math/numbersandoperations/absoluteval
ue/
Student
Strategies/
Modifications/
Differentiation
Small group
instruction
Individualized
Formative
Assessments
Exit ticket
Do now
Quiz
Technology
Infusion/
Resources
Laptops
Smartboard
Starboard
a number and moving
in a positive or negative
direction from that
number depending on
what you are adding to
it
Illustrate and explain
that a number and its
opposite have a sum of
zero (additive inverses)
Use and explain
procedures for
performing calculations
with integers and all
number types named
above with:
http://www.ixl.com/math/grade-7/absolute-value-andopposite-integers
Pencil-and-paper; .
Mental math; Calculator
Model a “zero pair” for students (Unit 2 Zero Principle from
Algebra Tiles for the Overhead Projector or The Zero Principle
from Algebra Tiles p.7)
“Zero the Hero” Smart Notebook Activity for rooms with
Smartboards and Smart software
Have students model different “zero pairs” using “Pairing it Up”
activity p. 491 Hands-On Math Text
Have students perform addition and subtraction using integer
models
(pgs. 25 -34)
Multiply and divide integers using rules (pgs. 44-49)
Additional Practice:
Integers can be
divided as long as the
divisor is not zero
following the same
rules for division as
whole number
Algebra Readiness Text:
Modeling Integers p. 23
Utilize yellow and red squares to represent positive and
negative integers
Introduce integers with “Don’t Be Negative” rap video:
http://www.teachertube.com/viewVideo.php?title=Integ
ers&video_id=121930
Play Integers Jeopardy with responders:
http://www.math-play.com/Integers-Jeopardy/IntegersJeopardy.html
http://www.math-play.com/multiplying-and-dividingintegers-game.html
http://www.funbrain.com/cgi-bin/osa.cgi?A1=s&A2=4
http://www.dositey.com/2008/addsub/Mystery11.htm
http://www.math-play.com/multiplying-and-dividingintegers-game.html
Students complete Tic-Tac-Toe choice board of various
activities related to integers, absolute value, and zero pairs to
demonstrate mastery of the concepts
instruction
Peer tutoring
Use of manipulatives
Computer activities
for remediation
Choice activities
Chunking
information
Rephrasing of
questions
Working with
partner
Video tutorials from
textbook
Oral questioning
Homework
Stations work
Tic-Tac-Toe Choice
Board with Rubric
Formative
Assessment Quiz:
Applying Integers in
Real-World
Situations
www.brainpop.c
om/math/numbe
rsandoperations/
absolutevalue/
http://www.ixl.
com/math/grad
e-7/absolutevalue-andoppositeintegers
duce integers
with “Don’t Be
Negative” rap
video:
http://www.tea
chertube.com/
viewVideo.php
?title=Integers
&video_id=121
930
Play Integers
Jeopardy with
responders:
http://www.ma
thplay.com/Integ
ersJeopardy/Integ
ersJeopardy.html
http://www.ma
thplay.com/multi
plying-anddividing-
integersgame.html
The distance between
two rational numbers
on the number line is
the absolute value of
their difference
Model integers on a number line
Graph and order integers on a number line pgs. 19-22
1. Use graphing
techniques on a number
line.
. Absolute value
. Arithmetic operations
represented by vectors
(arrows) (e.g., “-3 + 6” is
“left 3, right 6”)
Explain situations in
which opposite
quantities combine to
make zero.
Have students create real-world situations in which two
numbers combine to make zero
(Ex. A student walks five steps to the right and then is called to
go to another classroom that is five steps to the left; where
does the student end up?)
Small group
instruction
Individualized
instruction
Peer tutoring
Use of manipulatives
Computer activities
for remediation
Choice activities
Chunking
information
Rephrasing of
questions
Working with
partner
Video tutorials from
textbook and online
Small group
instruction
Individualized
instruction
Peer tutoring
Use of manipulatives
Computer activities
for remediation
Choice activities
Chunking
information
Rephrasing of
questions
Working with
partner
Video tutorials from
textbook
Exit ticket
Do now
Quiz
Oral questioning
Homework
Smartboard
Starboard
Smartboard
notebook
templates for
number lines
Exit ticket
Journal entry
Do now
Oral questioning
Homework
Smartboard
Starboard
Smartboard
notebook
templates for
number lines
Use exponentiation to
find whole number
powers of numbers.
Use order of
operations to simplify
expressions
Recognize, describe,
extend, and create
patterns involving whole
numbers, rational
numbers, and integers.
Patterns & Exponents Activity Lab (p. 177)
Students complete a 2-5-8 menu of activities to explain and
apply PEMDAS with specific examples created by the students
Students complete the Patterns Project working to decipher
codes and create codes and to write a friendly letter explaining
what a cipher is and how to use the cipher to send messages in
code
Small group
instruction
Individualized
instruction
Peer tutoring
Computer activities
for remediation
Choice activities
Chunking
information
Rephrasing of
questions
Working with
partner
Exit ticket
Journal entry
Do now
Oral questioning
Homework
Formative
Assessment Quiz:
Applying Order of
Operations
2-5-8 Menu
Laptops
Starboard
Smartboard
www.readwrit
ethink.org/files
/resources/inte
ractives/comic
/index.html
www.makebeli
efscomix.com/
Comix
www.learnalbe
rta.ca/content/
mejhm/index.h
tml?D1=AB.MA
TH.JR.NUMB&I
D2=AB.MATH.J
R.NUMB.INTE&
lesson=html/o
bject_interacti
ves/order of
operations/use
_it.html
www.quia.com
/mc/281615.ht
ml
Utilize properties of
operations to add,
subtract, and factor
Review properties of numbers: pgs. 68-77 (practice as needed)
Create chart of different properties for reference in notebooks:
Property
Arithmetic Example
Algebraic
Example
Commutative
Property (+ and x)
Associative Property
Identify Property (+ and x)
Distributive Property
Students work in groups to create Google site of a specific
property with examples of the property’s use; students review
classmates’ Google sites to review properties of numbers
Assess students level of understanding, the students will
complete an online activity
http://www.mytestbook.com/worksheet.aspx?test_id=1332&g
rade=7&subject=Math&topics=Properties%20of%20operations
Students will be given strips of paper with a number
sentence on it. They will turn to their partner for 2 min to
identify the property. They will then get up and tape it
onto the board under the respective property. As a class
we will go over each sentence.
Play four corners by displaying a number sentence on the
Smart Board and asking students to identify what
property is being shown by moving to a certain corner of
the room.
Working in groups
Chunking
information
Copy of power point
presentation from
teacher, if necessary,
for notetaking
Google Site Rubric
Starboard
Smartboard
Google docs to
make Google
sites
Assess students
level of
understanding,
the students will
complete an
online activity
http://www.myt
estbook.com/wo
rksheet.aspx?tes
t_id=1332&grade
=7&subject=Mat
h&topics=Proper
ties%20of%20op
erations