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
1 point
1
Question 1
1.
Which one would you choose? Be prepared to explain your reasoning.
Launch: Practice Problems - (10 min)
I do (question
We do (question
You do (question)
Here is a graph that shows some values for the number of cups of sugar, "s", required to make "x" batches of brownies.
Required
0 points
0
Question 2
2.
Complete the table so that the pair of numbers in each column represents the coordinates of a point on the graph.
Required
0 points
0
Question 3
3.
What does the point (8,4) mean in terms of the amount of sugar and number of batches of brownies?
Required
0 points
0
Question 4
4.
Write an equation that shows the amount of sugar in terms of the number of batches.
Required
0 points
0
Question 5
5.
Kiran shops for books during a 20% off sale.
What percent of the original price of a book does Kiran pay during the sale?
Required
1 point
1
Question 6
6.
Complete the table to show how much Kiran pays for books during the sale.
Required
0 points
0
Question 7
7.
Write an equation that relates the sale price, s, to the original price p.
Required
1 point
1
Question 8
8.
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)
Required
0 points
0
Question 9
9.
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.
Required
0 points
0
Question 10
10.
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.
Required
1 point
1
Question 11
11.
Write an equation that describes the relationship between r and y where y is the independent variable.
Required
1 point
1
Question 12
12.
Write an equation that describes the relationship between y and r where r is the independent variable.
Required
1 point
1
Question 13
13.
Use the points in the table to create two graphs that show the relationship between r and y.
Lesson Synthesis: - (5 min)
Required
1 point
1
Question 14
14.
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
1 point
1
Question 15
15.
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
1 point
1
Question 16
16.
Which graph also represents the relationship? Explain how you know.
