Algebra I Unit #3 Graphing Linear Equations and Functions
Essential Questions:
1) How do you graph linear equations and functions using a variety of methods?
2) How do changes in linear functions affect their graphs?
3) How do you use graphs of linear equations and functions to solve real-world
problems?
Vocab:
quadrant
standard form
linear function
x-intercept
y-intercept
slope
rate of change
slope-intercept form
parallel
function notation
coordinate plane
ordered pair
family of functions
parent linear function
Khan Academy Sections: converting between slope-intercept and standard form, identifying slope of a line,
identifying linear relationships, solving for the x-intercept, solving for the y-intercept, evaluating expressions with
function notation, graphing points, graphing points and naming quadrants, points on the coordinate plane,
ordered pair solutions to linear equations, slope-intercept form
Homework Check
5 points
4 points
Algebra I Section/Lesson
Assigned Problems
3 points
Day 1
Pre-Test/Word Walls/Pre-Requisite
Skills
Day 2
3.1 Plot Points in the Coordinate
Plane
How do you plot points in the
coordinate plane?
Khan: Graphing points, graphing
points and naming quadrants, points
on the coordinate plane
Day 3
3.2 Graph Linear Equations
How do you graph a linear equation?
Khan: ordered pair solutions to linear
equations
Word Wall
Pre-Req. Skills
p. 144 1-11 all
Pages 149-152
x: 1, 10-13, 19-21, 23, 26, 27, 3133, 35-37 (16)
y: 1, 7-13 odd, 16-20, 23, 24, 26,
30, 32, 33, 36, 37 (18)
Pages 157-159
x: 5-7, 10, 13, 17, 18, 21-25, 36,
38 (14 total)
y: 3-7, 10, 11-17 odd, 21-25, 36
(16 total)
Day 4
3.3 Graph Using Intercepts
Pages 167-170
How do you use intercepts to graph
equations?
x: 1, 2, 12-15, 18, 24, 25, 27, 29,
30, 35-37, 39-41, 46
(19
total)
Khan: solving for the x-intercept,
solving for the y-intercept
y: 1, 2, 7-9, 15, 21-24, 27-29, 3335, 38, 39, 44 (20 total)
Day 5
No Stamp Needed
Quiz Lessons 3.1-3.3
Work on Journal Questions
3.4 Find Slope and Rate of Change
Pages 177-180
Day 6
How do you find the slope of a line and
interpret slope as a rate of change?
x: 4-6, 12-18, 29-32, 37 (15)
y: 4-6, 8-13, 17, 18, 25-28, 37
(16)
Khan: identifying slope of a line
Day 7
3.4 Find Slope and Rate of Change
How do you find the slope of a line and
interpret slope as a rate of change?
Day 8
Day 9
Khan: Identifying Linear Relationships
3.5 Graph using Slope-Intercept Form
Pages 177-180
X: 19-23, 36, 38, 39, 41 and
p. 181 1-6 all (16)
Y: 19-24, 36, 38, 39 and
p. 181 1-6 all (16)
Pages 185-188
*How do you graph linear equations
given in slope-intercept form?
x: 1, 2, 6-10, 14-19, 27-29, 31,
34, 35, 40 (20 total)
Khan: Slope-intercept form.
Converting between slope-intercept
and standard form
3.7 Graph Linear Functions
y: 1-5, 9, 10, 13-19, 22-28 even,
40 (20 total)
Pages 203-206
x: 1, 6-11, 13, 16-22, 39-41 (15)
What is function notation?
y: 1, 3-8, 13-22 (17)
Khan: Evaluating expressions with
function notation
Day 10
Pages 203-206
3.7 Graph Linear Functions
How do you graph a linear Function?
x: 26-35, 39-42 (14 total)
y: 23-35, 39, 40 (15 total)
Day 11
No Stamp Needed
Quiz Sections
3.4, 3.5, 3.7
Work on Journals
Day 13
No Stamp Needed
Test Review
Day 14
Unit #3 Test
No Stamp Needed
Relax!
Journal Questions
Book problems (2 points each):
1) p171 #1
2) p171 #5
3) p180 #40
4) p209 #3
5) p.209 #5
E.C.: p. 180 #41, p. 169 #49
ACT problems (2points each):
6) What is the formula of a line with a slope of -2 that includes the point (7, 1)?
a) 𝑦 = −2𝑥 − 13
7
b) ) 𝑦 = −2𝑥 + 15
2
7
c) ) 𝑦 = −2𝑥 +
1
d) 𝑦 = −2𝑥 − 2
e ) 𝑦 = −2𝑥 − 14
7. The table shows the cost of a therapeutic massage for a given amount of time. What is the cost per
minute?
Time (minutes)
Cost (dollars)
a) $.71
30
42
45
63
b) $1.40
c) $2.80
60
84
d) $14
8. What is the slope of the line that passes through the points (3, -2) and (3, 2)?
a) 0
b) 2/5
c) 3/5
d) ¾
9. What is the y-intercept of the equation 3x + 2y = 6?
a) 2
b) 3
c) 6
d) -2
c) -11
d) -7
10. f(x) = 2x – 3. Evaluate f(-4).
a) -3
b) 11/4
e) No slope