Addition and Subtraction of Integers and Rational Numbers
7th Grade Math
Essential Question:
How do we use integers and rational numbers in the real world?
Key Ideas and Questions
How do you add integers and rational numbers?
How do you subtract integers and rational numbers?
How can we use a number line to help solve real life problems?
I. Definitions
A. Irrational Numbers
B. Integers
C. Rational Numbers
II. Using a Number Line
A. Move to the Right for Positive
B. Move to the Left for Negative
III. Real World Applications
A. Temperature Change
B. Distance Traveled
C. Money Spent
IV. Rules
A. Addition
B. Subtraction
Follow Up Activities
1. Interactive Smart Board Activity
2. Homework Assignment: Explore interactive websites and complete practice problems
Assessment
1. Group project: Create a Glogster describing another real world application of integers and rational numbers
2. Unit Test: Using a Number Line; Addition and Subtraction of Integers and Rational Numbers
Technology Used
Smart Board
Glogster
Websites
Computers
Common Core Standards Addressed
7.NS.1.a.b.c.d:
a. Describe situations in which opposite quantities combine to make 0. For example, a hydrogen atom has 0 charge because its two constituents are oppositely charged.
b. 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). Interpret sums of rational numbers by describing real-world contexts
c. 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.
d .Apply properties of operations as strategies to add and subtract rational numbers.
ISTE Standards Addressed
1. Creativity and Innovation
2. Communication and Collaboration
3. Research and Information Fluency
4. Critical Thinking, Problem Solving, and Decision Making