Lesson Standard: 8.F.4

Content Objective: Students will come to understand the rate of change of a linear relationship

Mathematical practice(s): 4

Lesson Design / What will the teacher be doing? (lesson structure) / What will the students be doing?
(teacher moves- student discourse) / Assessing Questions (“stuck”) / Advancing Questions (further learning)
Engage
(Launch) / I just got back from Thanksgiving break in Mexico City. It was 30 degrees. Was it hot or cold there? / Turn and talk
Class share out
Activity or Task 1 / Provide worksheet
If the Celsius temperature was 30, what would the Fahrenheit temperature be?
Ask them to complete table.
Did you change your guess? If so, why? / Look at data
Turn and talk
Class share out
Complete the table
(corresponding F as well) / We know it is less than 90.
What does it have to be greater than? (73)
Which do you think it is closer to?
Activity or Task 2 / Now lets plot the points to see if that will help.
We will put C on the horizontal axis. What if I called this first hash mark 1, how many people think that is a good idea?
What should we use for the vertical axis?
Point on graph and have students tell you to stop where 30 C would go. / Plot the points
Activity or Task 3 / What do you notice mathematically about the graph?
Closure
Location / C / F
Hiroshima / (6 / 43)
Panama City / (32 / 90)
Juneau / (3 / 37)
Fairfield / (12 / 54)
Atotonilco / (23 / 73)
Los Angeles / (16 / 61)
Acapulco / (33 / 91)
Nogales / (21 / 70)
Mexico City / (30 / ? )

A. Enter the data into the table with the Celsius temperatures in ascending order.

C
F

B. Plot the points. (How did you decide on your ‘scale?’)

c) What relationship have you noticed?

·  Does the data points suggest a proportional relationship?

·  ‘Draw’ 1 line of best fit through your data points.

·  Determine the slope (Key) of your line of best fit.

·  Determine the ‘Y – Intercept.’ What does this point mean?

·  Give the Equation of the line in Y = mX + B (Slope, intercept form)

D. Using your table, graph, and or your equation, determine the following values.

F / 0 / 212
C / 0 / 130

E. Explain thoroughly. Appropriately use as many Target Vocabulary in your explanation.

* What have you discovered?

* How would your current results change if the Celsius and Fahrenheit were switched?