Unit 10 Rational Numbers
Accelerated Lesson
( Note, some activities are marked "OPTIONAL" in the student workbook to meet the accelerated pace.)
Standards
Learning Targets
Additional Resources
I can explain what 0, positive numbers, and negative numbers mean in the context of temperature and elevation.
I can use positive and negative numbers to describe temperature and elevation.
I know what positive and negative numbers are.
Digital Manipulatives
Virtual Nerd
What are positive and negative numbers?
YouTube Videos
Understand integers using altitude
Understanding integers using temperature
Khan Academy Practice
Interpreting Negative Numbers (Temperature and Elevation)
Video Lesson Summary: What are Negative Numbers? From Illustrative Mathematics
2
I can determine or approximate the value of any point on a number line.
I can represent negative numbers on a number line.
I understand what it means for numbers to be opposites.
I can explain how to use the positions of numbers on a number line to compare them.
I can explain what a rational number is.
I can use inequalities to compare positive and negative numbers.
Points on the Number Line
Khan Academy Videos
Decimals and Fractions on a Number Line
Khan Academy Practice
Negative Numbers on the Number Line
Negative Numbers on the Number Line
Comparing Positive and Negative Numbers
Digital Manipulatives
3.3 Rational Numbers on a Number Line
YouTube Videos
Comparing and Ordering Integers
Math Antics - Negative Numbers
Math is Fun
Khan Academy Practice
Writing Numerical Inequalities
Compare Rational Numbers Using a Number Line
Video Lesson Summary: What are Negative Numbers? From Illustrative Mathematics
Addressing:
Building Toward:
Building On:
I can compare and order rational numbers.
I can use phrases like “greater than,” “less than,” and “opposite” to compare rational numbers.
I can explain and use negative numbers in situations involving money.
I can interpret and use negative numbers in different contexts.
Ordering Rational Numbers
Khan Academy Videos
Khan Academy Practice
Ordering Small Negative Numbers
Using Negative Numbers to Make Sense of Contexts
Math Antics
Math Antics - Negative Numbers
Khan Academy Video
Khan Academy Practice
Video Lesson Summary: What are Negative Numbers? From Illustrative Mathematics
4
Addressing:
Building Toward:
Building On:
I can explain what the absolute value of a number is.
I can find the absolute values of rational numbers.
I can recognize and use the notation for absolute value.
I can explain what absolute value means in situations involving elevation.
I can use absolute values to describe elevations.
I can use inequalities to compare rational numbers and the absolute values of rational numbers.
Absolute Value of Numbers
Digital Manipulatives
YouTube Videos
Integers Song: With Introduction to Absolute Value
Introduction to Absolute Value
Khan Academy
Absolute value and number lines | Negative numbers and absolute value
Khan Academy Practice
Comparing Numbers and Distance from Zero
Khan Academy Videos
Sorting Absolute Values on a Number Line
Khan Academy Practice
Compare and Order Absolute Values
Video Lesson Summary: Absolute Value From Illustrative Mathematics
5
Addressing:
Building Toward:
Building On:
I can use a number line to add positive and negative numbers.
I understand how to add positive and negative numbers in general.
Temperature Changes
Digital Manipulatives
Geogebra - Thermometer - Positive and Negative Numbers
YouTube Videos
Temperatures and Negative Numbers
Compare temperatures involving negative numbers
IXL Math
Add Integers Using Number Lines
Subtract Integers Using Number Lines
Elevation Changes
Digital Manipulatives
YouTube Videos
Negative Numbers and Elevation
IXL Math
6
Addressing:
Building Toward:
Building On:
I understand what positive and negative numbers mean in a situation involving money.
7
Addressing:
Building Toward:
Building On:
I can explain the relationship between addition and subtraction of rational numbers.
I can use a number line to subtract positive and negative numbers.
8
I can solve problems that involve adding and subtracting rational numbers.
9
I can graph inequalities on a number line.
I can write an inequality to represent a situation.
Digital Manipulatives
Khan Academy Videos
Plotting Simple Inequality on a Number Line
How to Describe Real World Situations With Inequalities
Khan Academy Practice
Video Lesson Summary: Inequalities From Illustrative Mathematics
10
I can determine if a particular number is a solution to an inequality.
I can explain what it means for a number to be a solution to an inequality.
I can graph the solutions to an inequality on a number line.
11
I can explain what the solution to an inequality means in a situation.
I can write inequalities that involve more than one variable.
12
Addressing:
Building Toward:
I can describe a coordinate plane that has four quadrants.
I can plot points with negative coordinates in the coordinate plane.
I know what negative numbers in coordinates tell us.
When given points to plot, I can construct a coordinate plane with an appropriate scale and pair of axes.
Points on the Coordinate Plane
Digital Manipulatives
Khan Academy Videos
Coordinate Plane Missing Point
Coordinate Plane: Graphing Points and Naming Quadrants
Khan Academy Practice
Points on the Coordinate Plane
Quadrants on the Coordinate Plane
Constructing the Coordinate Plane
Digital Manipulatives
Coordinate Plane Song
Coordinate Plane Song ★ Plotting Points on all 4 Quadrants
YouTube Videos
Plotting Points on the Coordinate Plane
Coordinate Plane and Plotting Points
IXL Math
Graph Points on a Coordinate Plane
Video Lesson Summary: The Coordinate Plane From Illustrative Mathematics
13
I can explain how rational numbers represent balances in a money context.
I can explain what points in a four-quadrant coordinate plane represent in a situation.
I can plot points in a four-quadrant coordinate plane to represent situations and solve problems.
YouTube Videos
Interpreting Graphs on Real-World Situations (Basic 1 )
Khan Academy Videos
Khan Academy Practice
Coordinate Plane Problems in all four Quadrants
Video Lesson Summary: The Coordinate Plane From Illustrative Mathematics
14
I can find horizontal and vertical distances between points on the coordinate plane.
Digital Manipulatives
14.2 Signs of Numbers in Coordinates
14.3 Finding Distances on a Coordinate Plane
YouTube Videos
Finding the Distance Between Two Points on a Coordinate Plane
Distance Between Points on a Coordinate Plane
Khan Academy Practice
Distances Between Points; vertical or horizontal
Video Lesson Summary: The Coordinate Plane From Illustrative Mathematics
15
Addressing:
Building Toward:
Building On:
I can find the lengths of horizontal and vertical segments in the coordinate plane.
I can plot polygons on the coordinate plane when I have the coordinates for the vertices.
Digital Manipulatives
15.1 Figuring Out The Coordinate Plane
15.3 Four Quadrants of A-Maze-ing
Khan Academy Videos
Area of a Parallelogram on a Coordinate Plane
Finding Coordinates of Missing Vertex,
Example of Shapes on a Coordinate Plane
Parallelogram on the Coordinate Plane
Khan Academy Practice
Drawing Polygons with Coordinates
Area and Perimeter on the Coordinate Plane
Video Lesson Summary: The Coordinate Plane From Illustrative Mathematics