Unit 6 Linear Relationships
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.8.F.4
Building On:
NC.6.NS
NC.7.RP.2
I can find the rate of change of a linear relationship by figuring out the slope of the line representing the relationship.
2
Addressing:
NC.8.F.4
NC.5.OA.3
NC.7.RP.2
I can interpret the vertical intercept of a graph of a real-world situation.
I can match graphs to the real-world situations they represent by identifying the slope and the vertical intercept.
3
Addressing:
NC.8.F.4
Building Toward:
NC.8.F.4
Building On:
NC.5.MD.4
I can write an equation for the relationship between the total volume in a graduated cylinder and the number of objects added to the graduated cylinder.
I can use patterns to write a linear equation to represent a situation.
4
I can write equations of lines using y=mx+b.
I can explain where to find the slope and vertical intercept in both an equation and its graph.
Khan Academy Video
Graph from Slope Intercept Equation
Digital Manipulative
YouTube Song
IXL Math
Write a Linear Equation from a Slope and a Point
Video Lesson Summary: Representing Linear Relationships From Illustrative Mathematics
5
I can look at a graph and tell if the slope is positive or negative and explain how I know.
I can give an example of a situation that would have a negative slope when graphed.
Khan Academy Videos
Slope Intercept Equation from Slope and Point
Linear and Non-Linear Functions
Digital Manipulative
9.2: Stand Clear of the Closing Doors, Please
Khan Academy Practice
Graph from Slope-Intercept Form
Slope Intercept Equation from a Graph
Video Lesson Summary: Finding Slopes From Illustrative Mathematics
6
Addressing:
NC.8.F.4
Building On:
NC.7.NS.3
NC.7.G .1
NC.7.G.2
I can describe a line precisely enough that another student can draw it.
I can calculate positive and negative slopes given two points on the line.
I can write equations of lines that have a positive or a negative slope.
I can write equations of vertical and horizontal lines.
Calculating Slope
YouTube Song
Khan Academy Practice
Equations of All Kinds of Lines
Khan Academy Video
Linear Equation to Slope Intercept
Digital Manipulative
IXL Math
Write a linear equation from two points
Video Lesson Summary: Finding Slopes From Illustrative Mathematics
Video Lesson Summary: Linear Equations From Illustrative Mathematics
7
Addressing:
NC.8.F.4
NC.8.EE.7
Building Toward:
NC.8.EE.7
Building On:
NC.6.G.1
I understand what the solution to an equation in two variables is.
I know that the graph of an equation is a visual representation of all the solutions to the equation.
I can find solutions (x,y) to linear equations given either the x- or the y-value to start from.
Solutions to Linear Equations
Khan Academy Videos
Solutions to 2 Variable Equations
Solutions to 2 Variable Equations Example 2
Khan Academy Practice
Solutions to 2-Variable Equations
More Solutions to Linear Equations
Khan Academy Videos
Solutions to 2 Variable Equations
Solutions to 2 Variable Equations Example 2
Khan Academy Practice
Solutions to 2-Variable Equations
Video Lesson Summary: Linear Equations From Illustrative Mathematics
I can write linear equations to reason about real-world situations.
I can find solutions (x,y) to linear equations given either the x- or the y-value to start from.
Using Linear Relations to Solve Problems
Khan Academy Video
Modeling with Linear Equations
IXL Math
Write Linear Functions - Word Problems
More Solutions to Linear Equations
Khan Academy Video
Completing Solutions to 2-Variable Equations
Khan Academy Practice