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Progressive Mathematics Initiative
www.njctl.org
Mathematics Curriculum
Unit Plan #2
Title: Number System
Grade Level: 7th Grade
Length of Time: 4 weeks
Unit Summary: This unit will allow students to further their understanding of the number system. They
will explore rational numbers and perform numerous operations using them. They will add, subtract,
multiply, and divide rational numbers when solving equations. They will also extend their knowledge of
rational numbers to decimals and real world applications.
Learning Targets
Domain: The Number System
Cluster: Apply and extend previous understandings of operations with fractions to add, subtract,
multiply, and divide rational numbers
Standard #s:
Standards:
Apply and extend previous understandings of addition and subtraction to add and
subtract rational numbers; represent addition and subtraction on a horizontal or vertical
7.NS.1
number line diagram.
Apply and extend previous understandings of multiplication and division and of fractions
7.NS.2
to multiply and divide rational numbers.
Solve real-world and mathematical problems involving the four operations with rational
numbers. Computations with rational numbers extend the rules for manipulating fractions
7.NS.3
to complex fractions.
Unit Essential Question:
Unit Enduring Understandings:
 How do operations affect rational numbers?
 How can we use rational numbers to solve real

Previous understanding of operations of
numbers can be directly applied to rational
numbers.

Rational numbers can be used to solve real
word problems.
world application problems?
Unit Objectives:

Students will be applying their prior knowledge of the number system to problems involving
rational numbers.



Students will be able to add, subtract, multiply and divide rational numbers.
Students will transform rational numbers into decimals.
Students will solve real world problems using rational numbers.
Evidence of Learning
Formative Assessments:
 SMART Response questions used throughout the unit.
 7 Quizzes
Summative Assessment:

Unit Test
Lesson Plans
Lessons
Lesson #1: Number System, Opposites &
Absolute Value/ Quiz #1
Lesson #2: Comparing and Ordering Rational
Numbers/ Quiz #2
Lesson #3: Adding Rational Numbers/ Quiz #3
Lesson #4: Turning Subtraction Into Addition/
Quiz #4
Lesson #5: Adding and Subtracting Rational
Numbers Review/ Quiz #5
Lesson #6: Multiplying Rational Numbers
Timeframe
Lesson #7: Dividing Rational Numbers/ Quiz #6
2 days
Lesson #8: Operations with Rational Numbers
Lesson #9: Converting Rational Numbers to
Decimals/ Quiz #7
Review and Unit Test
1 day
Curriculum Resources:
 https://njctl.org/courses/math/7th-grade/
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