Unit 5-Linear Functions
Algebra I
6 Weeks
Essential Questions
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What does the slope of a line indicate about the line?
What information does the equation of a line give you?
How are equations and graphs related?
Enduring Understandings
1. Ratios can be used to show a relationship between changing quantities, such as
vertical and horizontal change.
2. A line on a graph can be represented by a linear equation.
3. The relationship between two lines can be determined by comparing their slopes and
y-intercepts.
Content
Students will know…
Topics (Pearson):
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(5-1) Rate of Change and Slope
(5-3) Slope-Intercept Form
(5-4) Point-Slope Form
(5-5) Standard Form
(5-6) Parallel and Perpendicular Lines
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Slope
Rate of Change
Slope-Intercept Form
Vertical and Horizontal Lines
Writing Equations of Lines
Point-Slope Form
Slope-Intercept Form
Standard Form
Parallel Lines
Perpendicular Lines
Unit 5-Linear Functions
Algebra I
6 Weeks
21st Learning Expectations
Students will be able to…
 Employ mathematical problem solving skills effectively.
 Make decisions and solve problems in independent and collaborative settings.
21st Century Learning Skills
Students will be able to…
 ML #1 – Make sense of problems and persevere in solving them.
 ML #2 – Reason abstractly and quantitatively.
Connecticut State Standards
CCSS
 F-IF 6. Calculate and interpret the average rate of change of a function over a specified
interval. Estimate the rate of change from a graph.
 F-IF 7. Graph functions expressed symbolically and show key features of the graph, by
hand in simple cases and using technology for more complicated cases.
 F-IF 8. Write a function defined by an expression in different but equivalent forms to
reveal and explain different properties of the function.
 F-LE 1. Distinguish between situations that can be modeled with linear functions.
 F-LE 2. Construct linear functions, including arithmetic sequences, given a graph, a
description of a relationship, or two input-output pairs.
 F-LE 5. Interpret the parameters in a linear function in terms of a context.
Connecticut Framework
 1.2 Represent functions and relations on the coordinate Plane
 1.2 Identify an appropriate symbolic representation for a function or relation displayed
graphically or verbally.
 1.2 Recognize and explain the meaning of slope and x-and y-intercepts as they relate to a
context, graph, table or equation.
 1.2 Evaluate and interpret the graphs of linear, exponential and polynomial functions.
 1.1 Make and justify predictions based on patterns.
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Unit 5-Linear Functions
Algebra I
6 Weeks
Objectives
Students will be able to…
 Use point-slope form to graph an equation.
 Use standard form to compare two unrelated quantities.
 Identify the x-and y-intercepts of a graph.
 Identify parallel and perpendicular lines in the coordinate plane by their slopes.
Assessments
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Quiz EU1 – Slope and Rate of Change
Quiz EU2 – Equations of a Line
Quiz EU3 – Linear Equations in the Coordinate Plane
Unit Test – Linear Functions
Resources
Algebra I Textbook
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