Unit 8 Introducing Proportional Relationships
Accelerated Lesson
( Note, some activities are marked "OPTIONAL" in the student workbook to meet the accelerated pace.)
Standards
Learning Targets
Additional Resources
I understand the terms proportional relationship and constant of proportionality.
I can use a table to reason about two quantities that are in a proportional relationship.
2
Addressing:
NC.7.RP.2
Building On:
NC. 5.MD.1
I can find missing information in a proportional relationship using a table.
I can find the constant of proportionality from information given in a table.
Addressing:
NC.7.RP.2
NC.5.NBT.7
NC.5.OA.3
I can write the constant of proportionality as an entry in a table.
I can write an equation of the form y=kx to represent a proportional relationship described by a table or a story.
I can find two constants of proportionality for a proportional relationship.
I can write two equations representing a proportional relationship described by a table or story.
Proportional Relationships and Equations
Khan Academy Videos
Identifying the Constant of Proportionality from Equation
Proportionality Constant Table
Equations of Proportional Relationships
Writing an Equation for a Proportional Relationship
Khan Academy Practice
Constant of Proportionality from Tables (with Equations)
Constant of Proportionality from Equations
Writing Proportional Equations from Tables
Summary
Two Equations for Each Relationship
Khan Academy Video
Interpret Proportionality Constants
Khan Academy Practice
Interpret Constants of Proportionality
Summary
4
Addressing:
NC.7.RP.2
Building On:
NC.5.NBT.7
NC.6.RP.2
I can relate all parts of an equation like y=kx to the situation it represents.
I can find missing information in a proportional relationship using the constant of proportionality.
5
Addressing:
NC.7.RP.2
Building Toward:
NC.7.RP.1
Building On:
NC.6.RP.3
I can decide if a relationship represented by a table could be proportional and when it is definitely not proportional.
Khan Academy Videos
Proportional Relationship from a Table
Is Area Proportional to Side Lengths?
Proportionality Between Side Length and Perimeter
Khan Academy Practice
Identify Proportional Relationships
Summary
6
Addressing:
NC.7.G.6
NC.7.RP.1
NC.7.RP.2
NC.4.OA.5
NC.6.EE.2
I can decide if a relationship represented by an equation is proportional or not.
Summary
Khan Academy Videos
Equations for Proportional Relationships
Writing Proportional Equations
Writing Proportional Equations from Tables
Khan Academy Practice
Writing Proportional Equations from Tables
Writing Proportional Equations
Addressing:
NC.7.RP.2
Building Toward:
NC.7.RP.2
Building On:
NC.5.G.1
NC.6.NS.8
I can ask questions about a situation to determine whether two quantities are in a proportional relationship.
I can solve all kinds of problems involving proportional relationships.
I know that the graph of a proportional relationship lies on a line through (0,0).
Solving Problems about Proportional Relationships
Khan Academy Videos
Comparing Proportionality Constants
Worked Example: Proportion with Unknown Variable
Setting Up Proportions to Solve Word Problems
Proportion Word Problems: Cookies
Proportion Word Problem: Hot Dogs
Khan Academy Practice
Introducing Graphs of Proportional Relationships
Khan Academy Video
Identifying Proportional Relationships from Graphs
Digital Manipulatives
Khan Academy Practice
Identify Proportional Relationships from Graphs
Summary
8
I understand the information given by graphs of proportional relationships that are made up of points or a line.
I can find the constant of proportionality from a graph.
I can draw the graph of a proportional relationship given a single point on the graph (other than the origin).
Khan Academy Video
Constant of Proportionality from Graph
Digital Manipulatives
Khan Academy Practice
Interpreting Graphs of Proportional Relationships
Constant of Proportionality from Graphs
Summary
9
I know that the steeper graph of two proportional relationships has a larger constant of proportionality.
I can compare two, related proportional relationships based on their graphs.
Khan Academy Video
Preparing Constants of Proportionality
Khan Academy Practice
Compare Constants of Proportionality
Digital Manipulatives
10
I can interpret a graph of a proportional relationship using the situation.
I can write an equation representing a proportional relationship from a graph.
Digital Manipulatives
13.2 Tables, Graphs, and Equations
Summary
Khan Academy Practice
Interpret Constant of Proportionality in Graphs
11
I can use the constant of proportionality to compare the pace of different animals.
I can graph a proportional relationship from a story.
I can graph a proportional relationship from an equation.
I can tell when two graphs are of the same proportional relationship even if the scales are different.
Understanding Proportional Relationships
YouTube Video
Compare Constants of Proportionality and Rates
Khan Academy Video
Comparing Proportionality Constants
Interpret Proportionality Constants
Khan Academy Practice
Compare Constants of Proportionality
Interpret Constants of Proportionality
Interpret Constant of Proportionality in Graphs
Graphs of Proportional Relationships
Khan Academy Videos
Interpreting Graphs of Proportional Relationships
Graphing Proportional Relationships from an Equation
Khan Academy Practice
Identify Proportional Relationships from Graphs
Interpreting Graphs of Proportional Relationships
Graphing Proportional Relationships
Video Lesson Summary: Representing Proportional Relationships From Illustrative Mathematics
12
Addressing:
NC.7.RP.2
Building Toward:
NC.7.RP.2
NC.7.RP.2
NC.6.EE.3
NC.6.NS.1
NC.6.NS.3
I can graph a proportional relationship from an equation.
I can tell when two graphs are of the same proportional relationship even if the scales are different.
I can scale and label a coordinate axes in order to graph a proportional relationship.
Graphs of Proportional Relationships
Khan Academy Videos
Interpreting Graphs of Proportional Relationships
Graphing Proportional Relationships from an Equation
Khan Academy Practice
Identify Proportional Relationships from Graphs
Interpreting Graphs of Proportional Relationships
Graphing Proportional Relationships
Representing Proportional Relationships
YouTube Video
Representing Proportional Relationships
IXL Math
https://www.ixl.com/math/grade-7/graph-a-proportional-relationship-using-slope
Khan Academy Videos
Graphing Proportional Relationships: Unit Rate
Graphing Proportional Relationships from a Table
Graphing Proportional Relationships from an Equation
Khan Academy Practice
Graphing Proportional Relationships
Video Lesson Summary: Representing Proportional Relationships From Illustrative Mathematics
13
Addressing:
NC.7.RP.2
NC.6.EE.3
NC.6.NS.1
NC.6.NS.3
I can scale and label a coordinate axes in order to graph a proportional relationship.
I can compare proportional relationships represented in different ways.
Representing Proportional Relationships
YouTube Video
Representing Proportional Relationships
IXL Math
https://www.ixl.com/math/grade-7/graph-a-proportional-relationship-using-slope
Khan Academy Videos
Graphing Proportional Relationships: Unit Rate
Graphing Proportional Relationships from a Table
Graphing Proportional Relationships from an Equation
Khan Academy Practice
Graphing Proportional Relationships
Comparing Proportional Relationships
Khan Academy Video
IXL Math
Complete a table and graph a proportional relationship
Video Lesson Summary: Representing Proportional Relationships From Illustrative Mathematics