Download Interpret the Equation y = mx + b as Defining a Linear Function

Program Information
[Lesson Title]
Interpret the Equation y = mx + b as Defining a Linear
Function, Whose Graph is a Straight Line
[Unit Title]
Algebra
TEACHER NAME
PROGRAM NAME
Andrea Karpiak
Mansfield City Schools – Adult
& Community Ed
NRS EFL(s)
TIME FRAME
4–6
60 – 120 minutes
ABE/ASE Standards – Mathematics
Instruction
Numbers (N)
Algebra (A)
Numbers and
Operation
Operations and
Algebraic
Thinking
The Number
System
Ratios and
Proportional
Relationships
Number and
Quantity
A.4.13
A.4.9
A.4.14
A.6.6
A.6.11
Geometry (G)
Data (D)
Geometric
Shapes and
Figures
Measureme
nt and Data
Expressions
and Equations
Congruence
Statistics
and
Probability
Functions
Similarity, Right
Triangles. And
Trigonometry
Benchmarks identified in RED
are priority benchmarks. To
view a complete list of priority
benchmarks and related Ohio
ABLE lesson plans, please
see the Curriculum
Alignments located on the
Teacher Resource Center
(TRC).
Geometric
Measurement
and
Dimensions
Modeling with
Geometry
Ohio ABLE Lesson Plan – Interpret the Equation y = mx + b as Defining a Linear Function, Whose Graph is a Straight Line
Mathematical Practices (MP)
 Use appropriate tools strategically. (MP.5)
Make sense of problems and persevere in solving them.
(MP.1)
 Attend to precision. (MP.6)
Reason abstractly and quantitatively. (MP.2)



Construct viable arguments and critique the reasoning of
others. (MP.3)

Model with mathematics. (MP.4)
LEARNER OUTCOME(S)

Students will be able to Interpret the equation y = mx + b as
defining a linear function, whose graph is a straight line;
give examples of functions that are not linear.

Look for and make use of structure. (MP.7)

Look for and express regularity in repeated reasoning. (MP.8)
ASSESSMENT TOOLS/METHODS

Observations from tutorial videos

Contextualized activities

Worksheets
LEARNER PRIOR KNOWLEDGE

Students should know how to complete function tables and how to graph points on a coordinate plane.
Ohio ABLE Lesson Plan – Interpret the Equation y = mx + b as Defining a Linear Function, Whose Graph is a Straight Line
INSTRUCTIONAL ACTIVITIES
RESOURCES
Before beginning the lesson teachers should create a free, online
account at LearnZillion.
Computer with Internet access
Projector, ability to project
1. Have students watch Analyze tables and graphs to
determine whether they are nonlinear and complete the
related activities and practice problems.
a. It will help to build fluency with finding rates of
change to determine linearity.
b. Tables and graphs are used here because those
are two of the representations with which students
need to become fluent.
c. This work develops students' understanding that
not all functions are linear.
2. As a class, work through the lesson Functions: Are They
Linear or Nonlinear?
a. Students will be given 5 different functions shown
with different representations. They need to
investigate and determine if they are linear or nonlinear and explain their reasoning. There will be
four different versions.
Speakers
TI30XS calculators for student use
Clifner, L. (n.d.). 2. Analyze tables and graphs to determine whether
they are nonlinear (FP). Retrieved from
https://learnzillion.com/lesson_plans/3178
CPALMS. (n.d.). Functions: Are They Linear or Non-Linear?
Retrieved from
http://www.cpalms.org/Public/PreviewResourceLesson/Preview/482
83
DIFFERENTIATION

Students will watch the tutorial video and apply the information to worksheets.

A variety of worksheets are available to meet the diverse needs of your students.

I would encourage your students to work together and use peer teaching.
Ohio ABLE Lesson Plan – Interpret the Equation y = mx + b as Defining a Linear Function, Whose Graph is a Straight Line
Reflection
TEACHER REFLECTION/LESSON EVALUATION
ADDITIONAL INFORMATION
Ohio ABLE Lesson Plan – Interpret the Equation y = mx + b as Defining a Linear Function, Whose Graph is a Straight Line