Algebra 1
Name:___________________________________
Chapter 4: Graphing Linear Equations and Functions
Big Ideas
1. I can graph linear equations and functions using a variety of methods.
2. I can recognize how changes in linear equations and functions affect their graphs.
3. I can use graphs of linear equations and functions to solve real-world problems.
Student-Friendly Learning Target Statements
Knowledge
Targets
○ I know the definition of these terms:
○ Quadrant (4.1)
○
“What I need to know!”
○ Coordinate plane (4.1)
○
○ Ordered pair ( x, y ) (4.1)
○
○ Origin (0,0) (4.1)
○ Solution of an equation in
○
two variables (4.2)
○
○ Graph of an equation in two
variables (4.2)
○
○ Standard form of a Linear
○
Equation Ax  By  C (4.2)
○ Linear Function (4.2)
○
○ Horizontal Line y  b (4.2)
○ Vertical Line x  a (4.2)
○
○ Domain (input, x-values)
(4.2)
○
○ Range (output, y-values)
(4.2)
○
x-intercept (4.3)
y-intercept (4.3)
y  y rise
Slope m  2 1 
(4.4)
x2  x1 run
Rate of change (4.4)
Slope-intercept form of a line
y  mx  b (4.5)
Parallel lines (4.5)
Direct variation
y  ax ( y  mx  0 ) (4.6)
Constant of variation a
( a  m  slope) (4.6)
Function notation
f ( x)  y (4.7)
Parent Linear Function y  x
or f ( x)  x (4.7)
Family of functions (4.7)
○ I can plot and identify points on a coordinate plane. (4.1)
○ I can identify the domain and range of an equation. (4.2)
○ I can identify the x-intercept and y-intercept from a graph of an
equation. (4.3)
○ I can identify if the slope is positive, negative, zero or undefined by
looking at the graph. (4.4)
○ I can identify the slope and y-intercept by looking at a graph or from
the equation y  mx  b (4.5)
○ I can explain how to tell if lines are parallel. (4.5)
○ I can identify if an equation or graph is direct variation. (4.6)
Reasoning
Targets
“What I can do with
what I know.”
○ I can graph a function with a given domain by using a table of
values (4.1, 4.2)
○ I can determine if an ordered pair is a solution of an equation. (4.2)
○ I can solve a linear equation for a given variable. (4.2)
○ I can find the x-intercept and y-intercept of a function given the
equation. (4.3)
○ I can find slope given two points. (4.4)
○ I can describe the slope of a horizontal and vertical line. (4.4)
Algebra 1
Reasoning
Targets
“What I can do with
what I know.”
Skills
Targets
“What I can
demonstrate.”
Name:___________________________________
○ I can graph a line in the form y  mx  b . (4.5)
○ I can tell whether a table or group of ordered pairs represents direct
variation. (4.6)
○ I can re-write an equation in function form. (4.7)
○ I can graph horizontal and vertical lines on a coordinate plane. (4.2)
○ I can use the x-intercept and y-intercept of a function to graph the
equation on a coordinate plane. (4.3)
○ I can calculate the rate of change from a word problem. (4.4)
○ I can find the rate of change using the slope formula. (4.4)
○ I can re-write an equation from standard form into slope-intercept
form (4.5)
○ Given a point, I can write a direct variation equation. (4.6)
○ I can convert the words “y varies directly with x” into a direct
variation equation. (4.6)
Topics/Activities/Tasks
Suggested Problems
Ch 4 Preassessment
4.1 Plot Points
4.2 Graph linear functions
using tables
4.3 Graph linear functions
using intercepts
4.1 & 4.2 Worksheets
4.1 p210 #28, 33, 40
4.2: p219 #27, 29, 31, 33, 35, 36,
37, 38, 39, 40, 41
4.3: p229 #5, 11, 15, 17, 19, 23,
25, 41, 45, 46, 47
Quiz 4.1-4.3
4.4 Slope and rate of
change
4.4: p239 #3, 4, 5, 6, 7, 9, 11,
13, 15, 19, 20, 21, 22, 23, 25, 29,
31,37, 38, 39
4.5 Slope-Intercept form of
a linear function
4.5: p247 #3, 5, 7, 11, 13, 15, 17,
18, 19, 20, 23, 25, 27, 30, 33, 35,
37, 40, 41
Quiz 4.4-4.5
4.7 Graph linear functions
using slope-intercept form
and function notation
Review
Assessment
4.7: p265 #3, 5, 10, 14, 15, 18,
23, 25, 27, 28, 29, 31, 33, 34, 39,
40
Review p275 #1-23
Homework
Algebra 1
Name:___________________________________
Test Chapter 4