Day 1: Relations and Functions
 Page 59 # 1, 4, 5, 7, 8, 11, 12, 13, 16, 20, 21, 22, 26, 29, 32, 40, 41, 47, 51, 54
 Additional Problems:
1. The table shows the population of several states and the number of U.S. representatives
from those states.
a) Make a graph of the data with population on the horizontal axis and representatives on
the vertical axis.
b) Identify the domain and range.
c) Does the graph represent a function? Explain your reasoning.
State
Population
(millions)
California
33.93
Florida
16.03
Illinois
12.44
New York
19.00
North Carolina 8.07
Texas
20.90
Number of
Representatives
53
25
19
29
13
32
2. You want to make sure that you have enough music for a car trip. If each CD is an average of 45
minutes long, the linear function m(x) = 0.75x could be used to find how many CDs you need to
bring.
a) How many hours of music are there on 4 CDs?
b) If the trip you are taking is 6 hours, how many CDs should you bring?
3. Consider the functions f(x) and g(x), f(a) = 19 and g(a) = 33, while f(b) = 31 and g(b) = 51. If a = 5
and
b = 8, find two possible functions to represent f(x) and g(x).
Day 2: Linear Equations (Graphing Lines and Recognizing Forms of an Equation)
 Page 67 - 69 # 1, 4, 6, 9, 12 - 36 (step 3), 52, 63,
 Additional Problems:
1. Write a function with an x-intercept of (a, 0) and a y-intercept of (0, b).
2. Suppose the equation y = 12 + 10x models the amount of money in your wallet, where y is
the total in dollars and x is the number of weeks from today.
a) If you graphed this equation, what would the slope represent in the situation? Explain.
b) Is the equation in slope intercept form?
c) What units make sense for the slope?
1
3
1 1
3. What is an equation of the line through (2 , − 2) and (− 2 , 2)? Write your answer in slope
intercept form.
Day 3: Writing Linear Equations Using Rates of Change
 Rates of Change worksheet
 Additional Problems:
Page 81 – 83 #3, 5, 19, 23
Day 4: Linear Equations (Writing Equations of Lines, including Parallel and Perpendicular Lines)
 Parallel and Perpendicular Lines worksheet
 Additional Problems:
1. Given parallelogram ABCD with vertices A(a,b), B(c – a, d), C(c + a, d), and D(c, d), write an
equation of a line perpendicular to diagonal ̅̅̅̅
𝐵𝐷 that contains A.
Day 5: Review of Linear Functions
 In class Practice
 Progress Quiz over Days 1 – 4
 Begin Linear Models
Day 6: Using Linear Models (Scatter Plots)
 Page 81 - 84 #8, 11, 12, 13, 21, 33
 Additional Problems:
1. Jocelyn is analyzing the sales of her company. The table shows the total sales for each of six
years.
Year
2003 2004 2005 2006 2007 2008
a) Find a regression equation for
Sales ($ mil) 31.2 34.6 18.6 37.7 41.3 45.1
the data. Let x be the year.
b) Remove the outlier from the data set and find a new regression equation.
c) Use the new regression equation to predict the sales in 2020.
d) Which function fits the data better? Which prediction should Jocelyn expect to be more
accurate?
2. If statements a and b have a positive correlation, b and c have a negative correlation, and c and d
have a positive correlation, what can you determine about the correlation between statements a
and d? Explain your reasoning.
3. What are some strengths and weaknesses of using a regression equation to approximate data?
Day 7: Piecewise Functions
 Piecewise Functions worksheet
 Additional Problems:
1. Explain how piecewise functions can be used to accurately represent real-world problems.
Day 8: Absolute Value functions
 Page 90-91 #2, 5, 9, 12, 33, 39, 43
 Additional Problems:
1. A car’s speedometer reads 60 miles an hour.
a) Write an absolute value function for the difference between the car’s actual speed a
and the reading on the speedometer.
b) What is an appropriate domain for the function? Explain your reasoning.
c) Use the domain to graph the function.
2. (Open Ended) Write an absolute value function in which f(5) = -3.
Day 9: Absolute Value functions
 Page 97-99 # 5, 8, 11, 13, 17, 20, 21, 30, 32, 43, 48, 51
 Additional Problems:
1. (Open Ended) Draw a figure in Quadrant I. Use a translation to move your figure to
Quadrant III. Describe your translation.
2. Start with the parent function of y = |x + 3| - 2. Explain how to describe the graph of
y = |x + 3| - 2 as two consecutive translations of the parent function. Include graphs of the
parent function and each translation.
1
1
3. Graph the equations of 𝑓(𝑥) = − 2 |𝑥 − 3| and 𝑔(𝑥) = | − 2 (𝑥 − 3)| on the same set of
axes. Describe the similarities and differences.
Day 10: Review of Piecewise Functions (including Absolute Value functions)
 In Class Practice
 Progress Quiz over days 7 – 9
 Begin notes over inequalities if there is time left
Day 11: Two Variable inequalities
 Page 104-105 # 1-9 odd, 11-19 odd, 37, 40, 43
 Additional Problems:
1. The graph relates the amount of gas in the tank of your car to the distance you can drive.
a)
b)
c)
d)
e)
f)
Describe the domain for this situation.
Why does the graph stop?
Why is only the first quadrant shown?
Would ever point in the solution region be a solution?
Write an inequality for the graph.
What does the coefficient of x represent?
2
2. Find the area of the figure formed by the function 𝑓(𝑥) = − 3 |𝑥 − 4| + 6 and the x-axis.
3. Find the area of the figure formed by the functions 𝑓(𝑥) = 4|𝑥 − 1| − 4 and y = 8 and the
x-axis.
Day 12: Review
 Work on review packet and/or play Jeopardy (or some other review game)
Day 13: TEST