Content Area Number Systems
Target Course/Grade level
7
Unit Title Number System
Essential Questions
7.NS
Unit Learning Targets
As a result of this segment of learning, students
will…
Lessons and Activities
The learning experiences that will facilitate
engagement and achievement
Apply and extend previous understandings
of operations with fractions to add,
subtract, multiply and divide rational
numbers
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Process Standards:
 Problem Solving
 Reasoning and Proof
 Communication
 Connections
 Representation
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KWL Chart: Have students first brainstorm
what they remember about fractions so far
in their notebook/journal (Use examples/
definitions/etc); discuss as a class
(*This could include simplifying, adding,
subtracting, mixed numbers, etc.)
Make connection between fractions and
ratios (Two equivalent fractions =
proportion)
Remedial: Using pictures: to take ½ of ½,
color ½ of a rectangle. Of the shaded
portion, shade ½ of the ½ with a different
color.
____x____= ¾ (Give multiple answers.)
Include notes for process of multiplication
and division of fractions.
Include vocabulary, such as reciprocal
Menu Math activities – using menus,
calculate totals spent, tax, tip, etc.
Explain difference between GCF and LCM.
Ask questions like: If one bus stops every
10 minutes and the other stops every 15
minutes, when is the first time they will stop
at the same time?
Have students write a descriptive phrase for
what -6+8 could represent, then ask them
to explain by writing how to find the sum
Have students make 4 cards with a different
positive integer on each one and 4 other
cards with a different negative integer on
each. Then have them ask another student
to draw two cards randomly and subtract
the second card from the first card drawn.
Give each student a large index card with a
Evidence of
Learning
Formative and
Summative measures
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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
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Flash cards
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Decks of cards
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http://math.rice.e
du/~lanius/fractions/index.
html
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Study Island
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Ixl.com
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Brainpop.com
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Webquest Idea:
http://www.district87.org/s
taff/powelln/Eureka/Fender
/fraction_webquest.html

Fabulous
Fractions: Games and
Activities That Make Math
Easy and Fun by Lynette
Long
1
Standards/
CPI’s
Serves as an abstract; a brief paragraph summarizing the unit or project
Page
Unit Overview
North Arlington Public Schools
Content Area Number Systems
Target Course/Grade level
7
Unit Title Number System
Essential Questions
Serves as an abstract; a brief paragraph summarizing the unit or project

7.NS
Compute fluently with multi-digit numbers and
find common factors and multiples.
Process Standards:
 Problem Solving
 Reasoning and Proof
 Communication
 Connections
 Representation









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
Pre
Assessment
Quizzes
Tests
Homework
Written and
auditory
responses
given by
children
during daily
lessons
Mini projects:
in class and
out
Culminating
Activity





Glencoe
textbook and
practice
worksheets,
including
enrichment
worksheets
Target or other
store circulars
Menu Math
workbooks
(Add and
Subtract/
Multiply and
Divide)
Go Figure! A
Totally Cool
Book about
Numbers by
Johnny Ball
A Million Dots
by Andrew
Clements
Jeopardy:
http://www.ma
thplay.com/Facto
rs-andMultiples-
North Arlington Public Schools
2
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fraction or mixed number on one side. Each
student should rewrite the number as a
decimal on the backside of the card. Then
have students line up in the front of the
classroom in order to from the least value to
the greatest value.
Have students create a Real/Complex
Number system Venn Diagram. Place the
numbers on the appropriate circles.
Students will be able to recognize that the
square root of 25 belongs in each category
(except Irrational Numbers), however, the
best answer is a Natural Number
Have students explain how to explain
terminating and repeating decimals as
fractions
Ask students to find 4/9 x 3/8 in two ways.
Which do they prefer and why.
Writing: have students write an outline
explaining a procedure to divide fractions.
Students should include at least one
illustration to explain their ideas.
Advance/Group work: Give students several
pairs of fractions. Ask them to explain how
they would find the LCD in each case. Also
ask them to discuss what would happen if
they used a common denominator that
wasn’t the LCD
Advance: Make a serious of cards with
equations. Put each solution on a separate
card. Scramble the cards. Lay the cards
face down the table. Have groups of
students play a memory type game.
Remedial: practice having students find the
absolute value of a number by making a
number line of masking tape on the floor
and having the students take steps from
various positive and negative integers
towards zero.
Page
Unit Overview
Content Area Number Systems
Target Course/Grade level
7
Unit Title Number System
Essential Questions
Serves as an abstract; a brief paragraph summarizing the unit or project
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Have students each find 3 examples of
positive and negative integers in the
newspaper. Have them plot the integers on
a large number line.
Have students write an explanation of how
they order positive and negative integers.
Have them include a number line to
illustrate this process.
Have students write problems that can be
solved by writing and solving equations with
integers.
Have students explain how to determine the
sign of the quotient based on the signs of
the dividend and the divisor.

7.NS
Apply and extend previous understandings of
numbers to the system of rational numbers.
Process Standards:
 Problem Solving
 Reasoning and Proof
 Communication
 Connections
 Representation






Pre
Assessment
Quizzes
Tests
Homework
Written and
auditory
responses
given by
children
during daily
lessons
Mini projects:
Jeopardy/Facto
rs-andMultiplesJeopardy.html

The Factor
Game:
http://illuminati
ons.nctm.org/a
ctivitydetail.asp
x?id=12

Study Island

Ixl.com

Brainpop.com

Glencoe
textbook and
practice
worksheets,
including
enrichment
worksheets

Internet for
researching
monthly expenses
Game:
http://www.educati
on.com/activity/arti
cle/Face_Off_middl
e/
http://www.money
nowusa.com/v1/arti
cles/an-educatorsguide-to-integerlessons.php
Power Points:
http://math.pppst.c
om/integers.html
North Arlington Public Schools
3
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Page
Unit Overview
Content Area Number Systems
Target Course/Grade level
7
Unit Title Number System
Essential Questions
Serves as an abstract; a brief paragraph summarizing the unit or project
Coordinate Grid
game:
http://www.mrnuss
baum.com/stockshe
lves1.htm
Game:
http://www.xpmath
.com/forums/arcad
e.php?do=play&ga
meid=59
XP Math games:
http://www.xpmath
.com/forums/arcad
e.php?categoryid=4
Study Island
Ixl.com
Brainpop.com
4

in class and
out
Culminating
Activity
Page
Unit Overview
North Arlington Public Schools