Embedded Files
Accelerated Lesson
Accelerated Lesson
( Note, some activities are marked "OPTIONAL" in the student workbook to meet the accelerated pace.)
Standards
Standards
Learning Targets
Learning Targets
Additional Resources
Additional Resources
Addressing:
NC.6.RP.1
Building On:
NC.3.MD.5
NC.5.NF.3
I can write or say a sentence that describes a ratio.
I know how to say words and numbers in the correct order to accurately describe the ratio.
I include labels when I draw a diagram representing a ratio, so that the meaning of the diagram is clear.
I can draw a diagram that represents a ratio and explain what the diagram means.
Introducing Ratios and Ratio Language
Khan Academy Videos
Finding Ratios: An Introduction
Khan Academy Practice
Representing Ratios with Diagrams
Khan Academy Video
Khan Academy Practice
Equivalent Ratios with Equal Groups
Video Lesson Summary: What are Equivalent Ratios From Illustrative Mathematics
2
2
I include labels when I draw a diagram representing a ratio, so that the meaning of the diagram is clear.
I can draw a diagram that represents a ratio and explain what the diagram means.
I can use a diagram to represent a recipe, a double batch, and a triple batch of a recipe.
I know what it means to double or triple a recipe.
I can explain the meaning of equivalent ratios using a recipe as an example.
Representing Ratios with Diagrams
Khan Academy Video
Khan Academy Practice
Equivalent Ratios with Equal Groups
Recipes
Khan Academy Video
Khan Academy Practice
Video Lesson Summary: What are Equivalent Ratios From Illustrative Mathematics
3
3
Addressing:
NC.6.RP.1
Building On:
NC.3.OA.1
NC.3.OA.3
NC.4.NBT.5
I can use a diagram to represent a recipe, a double batch, and a triple batch of a recipe.
I know what it means to double or triple a recipe.
I can explain the meaning of equivalent ratios using a recipe as an example.
I know what it means to double or triple a color mixture.
I can use a diagram to represent a single batch, a double batch, and a triple batch of a color mixture.
I can explain the meaning of equivalent ratios using a color mixture as an example.
If I have a ratio, I can create a new ratio that is equivalent to it.
If I have two ratios, I can decide whether they are equivalent to each other.
Recipes
Khan Academy Video
Khan Academy Practice
Color Mixtures
Digital Manipulatives
Khan Academy Video
Understanding Equivalent Ratios
Khan Academy Practice
Equivalent Ratios in the Real World
Defining Equivalent Ratios
Khan Academy Video
YouTube Video
Equivalent Ratios and Fractions Explained
Khan Academy Practice
Video Lesson Summary: What are Equivalent Ratios From Illustrative Mathematics
Addressing:
NC.6.RP.3
Building On:
NC.5.NBT.7
NC.4.NF.2
When I have a double number line that represents a situation, I can explain what it means.
I can label a double number line diagram to represent batches of a recipe or color mixture.
I can create a double number line diagram and correctly place and label tick marks to represent equivalent ratios.
I can explain what the word per means.
Introducing Double Number Line Diagrams
Ratios and Double Number Lines
Khan Academy Practice
Relate Double Number Lines and Ratio Tables
Ratios with Double Number Lines
Creating Double Number Line Diagrams
YouTube Video Ratios with Double Number Lines
Khan Academy Practice
Video Lesson Summary: Double Number Line Diagrams From Illustrative Mathematics
5
5
I can choose and create diagrams to help me reason about prices.
I can explain what the phrase “at this rate” means, using prices as an example.
If I know the price of multiple things, I can find the price per thing.
6
6
Addressing:
NC.6.RP.2
NC.6.RP.3
Building On:
NC.5.NBT.1
If I know an object is moving at a constant speed, and I know two of these things: the distance it travels, the amount of time it takes, and its speed, I can find the other thing.
I can choose and create diagrams to help me reason about constant speed.
I can decide whether or not two situations are happening at the same rate.
I can explain what it means when two situations happen at the same rate.
I know some examples of situations where things can happen at the same rate.
Constant Speed
Digital Manipulatives
Khan Academy Practice
Ratios with Double Number Lines
Comparing Situations by Examining Ratios
Digital Manipulatives
YouTube Video
Comparing Ratios to Make Decisions
Vimeo Video
Khan Academy Practice
Understand Equivalent Ratios in the Real World
Video Lesson Summary: Comparing Situations by Examining Ratios From Illustrative Mathematics
7
7
Addressing:
NC.6.RP.3
Building on:
NC.5.OA.3
NC.5.NF.4
When I see a table representing a set of equivalent ratios, I can come up with numbers to make a new row.
If I am looking at a table of values, I know where the rows are and where the columns are.
When I see a table representing a set of equivalent ratios, I can explain what the numbers mean.
I can solve problems about situations happening at the same rate by using a table and finding a “1” row.
I can use a table of equivalent ratios to solve problems about unit price.
Representing Ratios with Tables
Digital Manipulatives
11.2: A Huge Amount of Sparkling Orange Juice
Khan Academy Practice
IXL Math
Navigating a Table of Equivalent Ratios
Khan Academy Practice
Equivalent Ratio Word Problems
Video Lesson Summary: Tables of Equivalent Ratios From Illustrative Mathematics
8
8
I can create a table that represents a set of equivalent ratios.
I include column labels when I create a table, so that the meaning of the numbers is clear.
I can explain why sometimes a table is easier to use than a double number line to solve problems involving equivalent ratios.
I can decide what information I need to know to be able to solve problems about situations happening at the same rate.
I can explain my reasoning using diagrams that I choose.
Tables and Double Number Line Diagrams
From Ratio Tables to Double Number Lines
Khan Academy Practice
Relate Double Number Lines and Ratio Tables
Solving Equivalent Ratio Problems
YouTube Video
Solving Ratio Problems Using a Tape Diagram
Khan Academy Practice
Equivalent Ratio Word Problems
Equivalent Ratios in the Real World
Understand Equivalent Ratios in the Real World
Video Lesson Summary: Tables of Equivalent Ratios From Illustrative Mathematics
Addressing:
NC.6.RP.3
Building On:
NC.3.OA.1
NC.5.NF.7
I can solve problems when I know a ratio and a total amount.
I can create tape diagrams to help me reason about problems involving a ratio and a total amount.
I can use diagrams to help someone else understand why my solution makes sense.
I can choose and create diagrams to help think through my solution.
I can solve all kinds of problems about equivalent ratios.
Khan Academy Video
Khan Academy Practice
Video Lesson Summary: Using Diagrams to Solve Ratio Problems From Illustrative Mathematics
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