OAT Lesson 18: Two-Related Quantities (I)

Last updated over 2 years ago

16 questions

Cool Down: - (5 min)

Required

OAT Lesson 18: Two-Related Quantities (I)

Last updated over 2 years ago

16 questions

Develop Understanding
Today's Learning Goal: (G6, U6, L16)
Compare and contrast (orally) graphs and equations that represent a relationship between the same quantities but have the independent and dependent variables switched.  
Comprehend the terms “independent variable” and “dependent variable” (in spoken and  written language).  
Create a table, graph, and equation to represent the relationship between quantities in a set  of equivalent ratios
Today's Materials:
Laptop
Laptop charger
Pen/Pencil/Paper/Expo Marker (optional)
Please complete the Jump Start (activator). You have 5 minutes before we review. This is independent it should be silent.
Reminders:
1. Ready for class
2. No cellphones
3. Volume must be low.
4. Read and follow all directions
5.) Take your bag off and immediately begin the Activator.

JUMP START: Which One Would You Choose? - (5min) 

Required

Launch: Practice Problems - (10 min) 
I do (question
We do (question 
You do (question) 

Required

Activity 1: Paint Set (25 min) 

Required

Lesson Synthesis: - (5 min)

Required

We wrote two equations to represent the relationship between cups of red paint and cups of yellow paint. How were these the same and how were they different?

Required

Cool Down: - (5 min)

A brownie recipe calls for 1 cup of sugar and 1/2 cup of flour to make one batch of brownies. To make multiple batches, the equation 
 where f is the number of cups of flour and s is the number of cups of sugar represents the relationship. 

Required

Which graph also represents the relationship? Explain how you know.

Closure Questions:
What is an independent variable?
What is an dependent variable?
What is a function?

OAT Lesson 18: Two-Related Quantities (I)

Cool Down: - (5 min)

OAT Lesson 18: Two-Related Quantities (I)

JUMP START: Which One Would You Choose? - (5min)

Launch: Practice Problems - (10 min)

Activity 1: Paint Set (25 min)

Lesson Synthesis: - (5 min)

We wrote two equations to represent the relationship between cups of red paint and cups of yellow paint. How were these the same and how were they different?

Cool Down: - (5 min)

Which graph also represents the relationship? Explain how you know.

Closure Questions:

JUMP START: Which One Would You Choose? - (5min)

Which one would you choose? Be prepared to explain your reasoning.

Launch: Practice Problems - (10 min)

Complete the table so that the pair of numbers in each column represents the coordinates of a point on the graph.

What does the point (8,4) mean in terms of the amount of sugar and number of batches of brownies?

Write an equation that shows the amount of sugar in terms of the number of batches.

Kiran shops for books during a 20% off sale.What percent of the original price of a book does Kiran pay during the sale?

Complete the table to show how much Kiran pays for books during the sale.

Write an equation that relates the sale price, s, to the original price p.

On graph paper, create a graph showing the relationship between the sale price and the original price by plotting the points from the table.

Activity 1: Paint Set (25 min)

Lin needs to mix a specific shade of orange paint for the set of the school play. The color uses 3 parts yellow for every 2 parts red.Complete the table to show different combinations of red and yellow paint that will make the shade of orange Lin needs.

Lin notices that the number of cups of red paint is always 2/5 of the total number of cups. She writes the equation: to describe the relationship. Which is the independent variable? Which is the dependent variable? Explain how you know.

Write an equation that describes the relationship between r and y where y is the independent variable.

Write an equation that describes the relationship between y and r where r is the independent variable.

Use the points in the table to create two graphs that show the relationship between r and y.

Lesson Synthesis: - (5 min)

We wrote two equations to represent the relationship between cups of red paint and cups of yellow paint. How were these the same and how were they different?

Which graph also represents the relationship? Explain how you know.

Closure Questions:

Which one would you choose? Be prepared to explain your reasoning.

Complete the table so that the pair of numbers in each column represents the coordinates of a point on the graph.

What does the point (8,4) mean in terms of the amount of sugar and number of batches of brownies?

Write an equation that shows the amount of sugar in terms of the number of batches.

Kiran shops for books during a 20% off sale.What percent of the original price of a book does Kiran pay during the sale?

Complete the table to show how much Kiran pays for books during the sale.

Write an equation that relates the sale price, s, to the original price p.

On graph paper, create a graph showing the relationship between the sale price and the original price by plotting the points from the table.

Lin needs to mix a specific shade of orange paint for the set of the school play. The color uses 3 parts yellow for every 2 parts red.Complete the table to show different combinations of red and yellow paint that will make the shade of orange Lin needs.

Lin notices that the number of cups of red paint is always 2/5 of the total number of cups. She writes the equation: to describe the relationship. Which is the independent variable? Which is the dependent variable? Explain how you know.

Write an equation that describes the relationship between r and y where y is the independent variable.

Write an equation that describes the relationship between y and r where r is the independent variable.

Use the points in the table to create two graphs that show the relationship between r and y.

Kiran shops for books during a 20% off sale.
What percent of the original price of a book does Kiran pay during the sale?

Lin needs to mix a specific shade of orange paint for the set of the school play. The color uses 3 parts yellow for every 2 parts red.
Complete the table to show different combinations of red and yellow paint that will make the shade of orange Lin needs.

Lin notices that the number of cups of red paint is always 2/5 of the total number of cups. She writes the equation:
to describe the relationship. Which is the independent variable? Which is the dependent variable? Explain how you know.

Kiran shops for books during a 20% off sale.
What percent of the original price of a book does Kiran pay during the sale?

Lin needs to mix a specific shade of orange paint for the set of the school play. The color uses 3 parts yellow for every 2 parts red.
Complete the table to show different combinations of red and yellow paint that will make the shade of orange Lin needs.

Lin notices that the number of cups of red paint is always 2/5 of the total number of cups. She writes the equation:
to describe the relationship. Which is the independent variable? Which is the dependent variable? Explain how you know.