Topic/objective: function applications pp. 228-252
• write the equation of a linear function and determine the rate of change of the function using a point on the line and the slope of the line.
write the equation of a linear function and determine the rate of change of the function using two points on the line.
• determine whether a function is linear or nonlinear using a graph.
• determine whether a function is linear or nonlinear using a table.
• determine whether a function is linear or nonlinear using an equation.
• compare the properties of two linear functions that are represented differently.
name
class/time
date
essential question: how can we model relationships between quantities?
questions/voc. terms/properties

define the vocabulary terms below:
linear function
nonlinear function
increasing function
decreasing function
constant

how can linear models be interpreted?

how are independent and dependent variables represented on a coordinate plane?

what is the slope and y-intercept of the helicopter altitude from the graph?

what does 35 and 1.2 in the equation represent in the equation?

describe the situation each equation represents for the water level in other tanks.
how can we represent the water level in a tank that’s empty at first but rises at a rate of 2.1 /s?

what is the process for solving problems involving constant rates?

what is the total cost for movie rental for 1 month? 5 months? 7 months? 1 year?

is this a linear model? explain.

what describes the relationship between the independent and dependent variables of the function?

what determines whether a function is linear or nonlinear?

how can we determine if a function is increasing or decreasing?

how can we determine whether a graph is increasing or decreasing?

how can functions be compared?

how can functions be represented?

how can we determine which line has a greater rate of change?

when interpreting a function graph, what key features can we look for?

how can we draw conclusions about an object’s speed?

example problems & steps/vocabulary definitions/property descriptions

write/type definitions beside each term below:

p. 228 copy yellow box

p. 228 copy purple box

pp. 228-229 study graph and copy solutions below:
example 1
a.

b.

pp. 229-230 copy solution below:
example 2

a.

p. 230 copy solution below:
b.

p. 230 copy solution below:
c.

pp. 231-231 study table and graph and copy steps below:
example 1

pp. 232-233 study table and copy solution below:
example 2
a.

study rate of change between values and copy solution below:
b.

p. 234 see yellow box

pp. 234-235 study tables & graph and copy solutions below:
example 1
a. y = 2x - 1

b.

pp. 236 see pink box

pp. 236-237 study graphs and write solutions below:
example 2
a.

b.

c.

d.

p. 240 see yellow box

p. 240 see paragraph
study functions pp. 240-244

p. 244 see graph and pink box

p. 246

p. 247 see pink box
study pp. 247-252
summary: connections, reflections, analysis about what you learned (3 or more sentences, or you may use the following prompts - be specific):

today my notes say…
i can use my notes to…
my notes mean…