Algebra II Unit #1: Linear Equations and Functions (Ch 2)
Essential Questions:
Book Journal Questions:
1) How can I represent relations and functions?
p79 #49, p95 #64,
2) How can I graph linear equations and inequalities in two variables?
p106 #5, p129 #41, p139 #6
3) How car I write linear equations and inequalities in two variables?
EC: p103 #54, p139 #1
Vocab: relation
range
parallel lines
slope-intercept form
scatter plot
best-fitting line
reflection
function
slope
perpendicular lines
standard form
positive/negative correlation
absolute value function
independent/dependent variables
domain
function notation
x and y intercepts
point-slope form
correlation coefficient
translation
piece-wise function
Khan Academy Sections: Understanding function notation, domain and range from a graph, identifying slope of a
line, equations of parallel and perpendicular lines, slope intercept form, converting between slope-intercept and
standard form, graphing linear equations, graphing and solving linear inequalities.
Homework Check
5 points
4 points
Algebra II Section/Lesson
Assigned Problems
3 points
Day 1
Day 2
Pre-Test/Word Walls/Journal Questions
Word Wall/Pre-Test/
Prerequisite Skills
2.1 Represent relations and functions
Pages 76-79
JQ: p79 #49
(17)
x: 2, 6, 8, 12, 13, 19,
24, 36, 39, 42, 45, 52, 54, 58, 59,
64, 65
(20)
y: 2, 6-8, 11, 12, 17,
18, 22, 23, 34, 35, 43, 44, 52, 54,
56, 57, 63, 65
Pages 86-88
(20)
x: 2, 12-14, 20-26even,
30, 34, 37, 38, 43, 46, 50, 51, 59,
60, 64, 67
(21)
y: 2, 6-14even, 1929odd 33, 42, 45, 50, 51, 56, 59,
62, 67
*How do you graph relations and
functions?
Day 3
2.2 Find slope and rate of change
*How do you determine whether two
non-vertical lines are parallel or
perpendicular?
Day 4
2.3 Graph equations of lines (#1)
*How do you graph an equation in
slope-intercept form?
Day 5
2.3 Graph equations of lines (#2)
*How do you graph an equation in
standard form?
Pages 93-96
(20)
x: 1, 7, 8, 13, 14, 1820, 22, 33, 34, 39, 41, 60, 72-77
(22)
y: 1, 6-18even, 21, 33,
34, 39, 41, 59, 70-77
Pages 93-96 JQ: p95 #64
(15)
x: 26-28, 36-38 47-50,
55, 79-82
(18)
y: 24-26, 35-38, 46-50
78-83
Day 6
2.4 Write equations of lines
*How do you write an equation of a line
in multiple forms?
Pages 101-104 JQ: p106 #5
(18)
x: 7, 8, 14-16, 22, 25,
28, 29, 34-36, 51, 56, 67, 71, 72,
78
(20)
y: 6-8, 10-16even, 21,
23, 27, 28, 30-32, 50, 55, 66, 70,
72, 75
Day 7
No Stamp Needed
Day 8
Quiz Lessons 2.1-2.4
2.6 Draw scatter plots and best-fitting
lines (#1)
Work on journal questions
(15)
(16)
Pages 117-120
x: 2-9, 13-15, 18, 31-33
y: 2-12, 18, 30-33
*What does correlation of a data set tell
us about the data?
Day 9
2.6 Draw scatter plots and best-fitting
lines (#2)
*How can you tell if a set of data point
can be modeled by a best-fitting line?
Day 10
2.7 Use absolute value functions and
transformations
*How do you graph and write equations
for absolute value functions?
Day 11
Pages 117-120
JQ: p139 #6
(9)
x: 19-21, 25-27, 37-39
(10)
y: 16, 17, 19, 20, 24,
25, 36-39
Pages 127-129
JQ: p129 #41
(14)
x: 1, 5, 8, 11, 14, 1720, 37, 39, 46-48
(17)
y: 1, 5-13odd, 15-19,
33, 36, 45-48
2.7 Extension: Use Piecewise Functions
(12)
Pages 130-131
Everyone: WS
*How do you evaluate, graph, and write
piecewise functions?
Day 12
2.8 Graph linear inequalities in two
variables
*What does a dashed boundary line on
the graph of an inequality represent?
Pages 135-138
(16)
x: 6, 9, 12, 15, 18-20,
30, 35, 36, 41, 44, 50, 51, 59, 60
(18)
y: 6-20even, 29, 33,
34, 43, 50, 51, 58-61
Quiz Lessons 2.6-2.8
Work on journal questions
Day 13
No Stamp Needed
Day 14
No Stamp Needed
Review Day
Study for test
Day 15
Journal Question Work Day
No Stamp Needed
*How can different problem solving
strategies be used to solve word
problems?
Work on journal questions or
review for the test
Day 16
No Stamp Needed
Unit 1 (Ch 2) Test
Finish journal questions!
Journal Questions
Book Problems:
p79 #49, p95 #64, p106 #5, p129 #41, p139 #6
Extra Credit:
p103 #54, p139 #1
ACT Prep: (Only 0.5 pts given for correct answer. The only 1.5 pts must come from sufficient and correct work shown)
1) Assume the table below defines the function f(x).
Inputs
1
2
Outputs
3
2
3
1
4
2
5
3
6
4
If f(x) = 3, then x could be:
I.
1
II.
2
III.
5
(A)
(C)
(E)
I only
III only
I and III only
(B)
(D)
II only
I and II only
2) Line l is graphed in the standard (x, y) coordinate plane as shown. If the equation for line l is written in the form
y = mx + b, what of the following is true about m and b? Choose all that apply as there may be more than one!
(A)
(B)
(C)
(D)
(E)
y
m is positive and b is negative
m is negative and b is positive
m>b
m<b
m=b
l
x
3) Which of the following equations passes through the point (1, -3) and is perpendicular to the line x + y = 10?
(A)
(C)
(E)
x + y = -2
x+y=4
2x + 2y = -4
(B)
(D)
x – y = -2
2x – 2y = 8
4) What is the value of k so that the line passing through the points (k, 2) and (2, 7) has a slope of -1?
(A)
(C)
(E)
-7
0
7
(B)
(D)
-2
2
5) Look at the data table on p. 148 #4. Describe the correlation shown by the data.
(A)
(C)
(E)
Strong positive correlation
Relatively no correlation
Strong negative correlation
(B)
(D)
Weak positive correlation
Weak negative correlation