Name: John Toney
Date: 10-27-14
Content Area: Mathematics
Length of Lesson: 20 days
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
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
STAGE I – DESIRED RESULTS
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).
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?
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
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
Performance Task:
STAGE II – ASSESSMENT EVIDENCE
Students will demonstrate adequate understanding via a chapter test.
Formative Assessments:
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

Instructional Procedures*:
Monday
Date: 11/3 Day: B
“Do Now” – Get started on review worksheets as soon as they arrive to class
“Mini Lesson”
Review CH 2 SECTION 5-7
Students will work on review worksheets with partner in class and finish for homework if necessary.
Finish review worksheets
Tuesday
Date: 11/4 Day: A
“Do Now” – Have review worksheets out and ready for going over.
“Mini Lesson”
Review CH 2 Section 5-7
Students will check answers to review worksheets and ask questions as needed.
Study for test tomorrow
Wednesday
Date: 11/5 Day: B
“Do Now” – Begin test
“Mini Lesson”
Test CH 1
Students will take test on
CH 2 section 5-7 then complete vocabulary worksheet for homework
Vocabulary worksheet
Thursday
Date: 11/6 Day:
No School
Parent Teacher
Conferences
Friday
Date: 11/7
No School
In-service Day
Day:
*Include Do Now, Mini Lesson, Guided Practice, Independent Practice, Summations/Formative Assessments, Reflections