Unit 11
Rational Number Arithmetic
Accelerated Lesson
( Note, some activities are marked "OPTIONAL" in the student workbook to meet the accelerated pace.)
Standards
Learning Targets
Additional Resources
1
Addressing:
NC.7.NS.1
Building Toward:
NC.7.NS.1
Building On:
NC.6.NS.5
NC.6.NS.6
NC.6.NS.7
NC.6.NS.8
NC.6.NS.9
I can use a number line to add positive and negative numbers.
I understand how to add positive and negative numbers in general.
Changing Temperatures
Khan Academy Videos
Adding Numbers with Different Signs
YouTube Video
Khan Academy Practice
Changing Elevation
Khan Academy Videos
Adding Negative Numbers on the Number Line
Adding Fractions with Different SIgns
YouTube Video
Khan Academy Practice
Adding Negative Numbers on the Number Line
Number Equations and Number Lines
Video Lesson Summary: Adding Rational Numbers From Illustrative Mathematics
2
Addressing:
NC.7.NS.1
NC.7.NS.3
Building Toward:
NC.7.EE.4
Building On:
NC.7.NS.1
I can solve problems that involve adding and subtracting rational numbers.
Khan Academy Videos
Interpreting Negative Number Statements
YouTube Video
Adding and Subtracting to Solve Problems
Khan Academy Practice
Interpreting Negative Number Statements
Negative Number Addition and Subtraction: Word Problems
Video Lesson Summary: Subtracting Rational Numbers From Illustrative Mathematics
3
Addressing:
NC.7.NS.2
NC.7.RP.2
Building Toward:
NC.7.EE.3
NC.7.EE.4
Building On:
NC.6.RP.3
NC.6.EE.2
I can multiply a positive number with a negative number.
I can use rational numbers to represent speed and direction.
I can explain what it means when time is represented with a negative number in a situation about speed and direction.
I can multiply two negative numbers.
I can solve problems that involve multiplying rational numbers.
Position, Speed, and Direction
YouTube Video
Position, Speed, and Direction
IXL Math
Multiplication and Division Equations with Integers
Multiplying Rational Numbers
Khan Academy Videos
Why a Negative Times a Negative Makes Intuitive Sense
Why a Negative Times a Negative is a Positive
YouTube Video
Khan Academy Practice
Multiply!
Khan Academy Video
Multiplying Negative and Positive Fractions
YouTube Video
Khan Academy Practice
Multiplying Positive and Negative Fractions
Video Lesson Summary: Multiplying and Dividing Rational Numbers From Illustrative Mathematics
4
Addressing:
NC.7.NS.2
Building Toward:
NC.7.EE.4
Building On:
NC.7.NS.1
NC.7.NS.2
NC.7.NS.3
I can divide rational numbers.
5
I can solve problems that involve negative rates.
I can solve problems that involve multiplying and dividing rational numbers.
Addressing:
NC.7.NS.3
NC.7.RP.2
Building Toward:
NC.7.EE.4
Building On:
NC.6.EE.7
I can add, subtract, multiply, and divide rational numbers.
I can evaluate expressions that involve rational numbers.
I can solve problems using the four operations with rational numbers.
I can represent situations with expressions that include rational numbers.
Expressions with Rational Numbers
Khan Academy Videos
Situation with Negative Numbers
Negative Signs in Numerators and Denominators
Expressions with Rational Numbers
Khan Academy Practice
Substitution with Negative Numbers
Ordering Negative Number Expressions
Solving Problems with Rational Numbers
Khan Academy Videos
Khan Academy Practice
Order of Operations with Negative Numbers
Video Lesson Summary: Solving with Rational Numbers From Illustrative Mathematics
7
Addressing:
NC.7.EE.4
NC.7.NS.3
Building Toward:
NC.7.EE.4
Building On:
NC.6.EE.5
NC.7.NS.1
NC.7.NS.2
NC.7.NS.3
I can solve equations that include rational numbers and have rational solutions.
I can write and solve equations to represent situations that involve rational numbers.
I can explain what the solution to an equation means for the situation.
Solving Equations with Rational Numbers
YouTube Videos
Solving Equations with Rational Numbers
Solving Equations with Rational Coefficients
Khan Academy Practice
One-Step Equations with Negatives
Representing Contexts with Equations
YouTube Video
One Step Equation Word Problems
IXL Math
Video Lesson Summary: Solving with Rational Numbers From Illustrative Mathematics