Name: John Toney
Date: 10-20-14
WOODLAND HILLS SECONDARY
LESSON PLANS
Content Area: Mathematics
Length of Lesson: 20 days
STAGE I – DESIRED RESULTS
Lesson Topic (Modules, if applicable):
Linear Relations and Functions:
 Relations and Functions
 Linear Equations
 Slope
 Writing Linear Equations
 Modeling with Scatter Plots
 Special Functions
 Graphing Inequalities
Big Ideas:
 2.8.11.B: Evaluate and simplify algebraic
expressions and solve and graph linear,
quadratic, exponential, and logarithmic
equations and inequalities, and solve and
graph systems of equations and
inequalities.
 2.8.11.D: Demonstrate an understanding
and apply properties of functions (domain,
range, inverses) and characteristics of
families of functions (linear, polynomial,
rational, trigonometric, exponential,
logarithmic).
 2.8.11.E: Use combinations of symbols and
numbers to create expressions, equations,
and inequalities in two or more variables,
systems of equations and inequalities, and
functional relationships that model
problem situations.
 M8.E.4.1.1: Fit a line to a scatter plot
and/or describe any correlation between
the two variables (positive, negative,
strong, weak or none).
Understanding Goals (Concepts):
Linear relationships: Equation and inequalities in
one and two variables:
 Analyze and graph relations
 Write and graph linear equations given
slope and/or point(s) on a line
 Find and use slope of a line
 Write equations for and graph parallel
and perpendicular lines
 Draw scatter plots and determine
equations for lines of best fit
 Graph absolute value functions on a
coordinate plane
 Graph linear inequalities on a coordinate
plane
 Solve real-world problems modeled by
linear functions
Student Objectives (Competencies/Outcomes):
 Analyze and graph relations
 Write and graph linear equations given slope
and/or point(s) on a line
 Find and use slope of a line
 Write equations for and graph parallel and
perpendicular lines
 Draw scatter plots and determine equations
Essential Questions:
 How do you decide which functional
representation to choose when modeling a
real world situation, and how would you
explain your solution to the problem?
 How do you write, solve, graph, and
interpret linear equations and inequalities
to model relationships between quantities?
Vocabulary:
 Coordinate Plane, Quadrants, Domain,
Range, Function, Mapping, Vertical Line
Test, Independent Variable, Dependent
Variable, Function Notation
 Standard Form, X- and y-intercept
 Slope, Slope-intercept form, Parallel,
Perpendicular
for lines of best fit.
 Graph absolute value functions on a
coordinate plane
 Graph linear inequalities on a coordinate
plane
 Solve real-world problems modeled by linear
functions
Students will be able to:
 Write, solve, graph, and interpret linear
equations and inequalities to model
relationships between quantities.
 Represent functions (linear and non-linear)
in multiple ways, including tables, algebraic
rules, graphs, and contextual situations and
make connections among these
representations. Choose the appropriate
functional representation to model a real
world situation and solve problems relating
to that situation.

How do you write, solve, and interpret
systems of two linear equations and
inequalities using graphing and algebraic
techniques?


Scatter plot, Line of best fit
Constant Function, Absolute value
Function, Identity Function, Piecewise
Function
STAGE II – ASSESSMENT EVIDENCE
Performance Task:
Formative Assessments:
Students will demonstrate adequate understanding via a chapter test.
Pre-assessments, open-ended questions, Think-Pair-Share
Materials and Resources:
Textbook, notes
STAGE III – LEARNING PLAN
Interventions:
Flexible grouping, students will be encouraged to attend math lab
Tuesday
Date: 10/21
Day: A
“Do Now” – Determine the
type of correlation given
several scatter plots.
Wednesday
Date: 10/22
Day: B
“Do Now” – Construct a
scatter plot then write a
prediction equation.
Thursday
Date: 10/23
Day: A
“Do Now” – Given a set of
data choose the equation
that best fits.
“Mini Lesson” – Students
will take notes on drawing
scatter plots and then
writing a prediction equation
to model the points. They
will also predict values
through extrapolation.
“Mini Lesson” – Students
will continue working on
scatter plots and writing
prediction equations
through guided practice
problems. They will spend
the 2nd half of class working
with a partner on worksheet
pg 83.
“Mini Lesson” – Students
will continue working on
scatter plots and writing
prediction equations
through guided practice
problems. They will spend
the 2nd half of class working
with a partner on worksheet
pg 84.
“Mini Lesson” –Students
will take notes on special
functions that include:
step, absolute value,
piecewise, identity, and
constant. They will learn
the characteristics of each
and then practice graphing
each one.
Notebook Homework 2-5
Worksheet page 83
Worksheet page 84
Friday
Date: 10/24
Day: B
“Do Now” – Graph a given
piecewise function
“Mini Lesson” Students will
continue working on
identifying and graphing
special functions. They will
spend the 2nd half of class
working with a partner on
worksheet pg 88-89.
Notebook Homework 2-6

Assignments

Procedures
Instructional Procedures*:
Monday
Date: 10/20
Day: B
“Do Now” – Given data
points, write the equation of
a line and use it to predict
the result given a new value
for x.
*Include Do Now, Mini Lesson, Guided Practice, Independent Practice, Summations/Formative Assessments, Reflections
Worksheet page 88-89
(teacher made)