a ride on a carousel costs $3 per person. using at least six points, draw a scatter plot with the...
TRANSCRIPT
A ride on a carousel costs $3 per person. Using at least six points, draw a scatter plot with the number of riders on the horizontal axis and the total cost on the vertical axis.
Warm-Up: October 22, 2014
Homework Questions?
Basic Graphs and Translations
Investigation 3BAdvanced Integrated Math I
What are direct variation and indirect variation?
What do the graphs look like for direct variation and indirect variation?
Essential Questions
A direct variation is a relation between two variables that have a constant ratio.
If one variable doubles, the other also doubles.
Examples:◦ Number of weeks until an event and number of
days until the event◦ Mass of an object and its weight (on Earth)◦ Time interval and distance traveled (for constant
velocity)
Direct Variation
Graphs are always straight lines that pass through the origin, or part of such a line.
Equations are always of the form
Direct Variation
xcy
How is the graph from the warm-up different than the graph of ?
Think-Pair-Share
xy 3
Domain: the possible x-values Range: the possible y-values
Vocabulary
An indirect variation is a relation between two variables that have a constant product.
If one variable doubles, the other is cut in half.
Examples:◦ The volume of a balloon and the pressure of the
gas inside (at constant temperature).◦ The length and width of a rectangle with an area
of 80 square inches.
Indirect Variation
Graphs are hyperbolas centered at the origin, or part of such a hyperbola.
Equations are always of the form
Indirect Variation
x
cycyx or
Read Investigation 3B
Page 222 #7-11, 13 Page 232 #11, 13-16
Page 239 #8, 12, 14, 16 Page 241 #1-7
Assignments
Page 222 #7
Use the point-plotting method to graph each of the following equations. Graph each one on a separate Cartesian plane.
Warm-Up: October 23, 2014
xyf
xye
xyd
xyc
xyb
xya
)
)
1)
)
)
)
3
2
Homework Questions?
What are the properties of the graphs of the functions from the warm-up?
Essential Questions
With your partner, write a description of each graph from the warm-up.◦ Quick description (5 words or less)
Through which quadrant(s) does each graph pass?
What are the x- and y-intercepts of each graph (if they exist)?
Partner Work
Read Investigation 3B
Page 222 #7-11, 13 Page 232 #11, 13-16
Page 239 #8, 12, 14, 16 Page 241 #1-7
Read Investigation 3C
Assignments
Page 239 #8, 12, 14, 16
Pick up a packet. Silently read pages 1, 2, and the top of page 3.
Have your homework out for Mr. Szwast to check.
Warm-Up: October 24, 2014
Homework Questions?
With your partner, complete the graph match on the last 3 pages of the packet.
Use the graphing calculator for each one. Switch who is using the calculator for each
function.
Graphing on TI-84