ALGEBRA IA Unit 3: Linear Functions, Equations, and Inequalities

ALGEBRA IA Unit 3: Linear Functions, Equations, and Inequalities
Objectives
Students will be able to…
Recognize linear functions.
Graphing linear functions
given in standard form.
Identifying and interpreting
intercepts of linear equations.
Graphing linear equations
using intercepts.
Topics & Vocabulary
Lesson 5.1 Understanding
Linear Functions
linear function, linear equation,
standard form: Ax + By = C,
solution of a linear equation in
two variables, discrete function,
continuous function
Lesson 5.2 Using Intercepts
y-intercept, x-intercept
Determining rates of change
and slope.
Determining slope using the
slope formula.
Interpreting slope.
Write equations in slopeintercept form.
Graph equations in slopeintercept form.
Lesson 5.3 Interpreting Rate of
Change and Slope
rate of change, slope, rise, run,
௬ ି௬
slope formula: ݉ = మ భ
Creating linear equations
given a slope and a point.
Creating linear equations
given two points.
Lesson 6.2 Point-Slope Form
point-slope form:
‫ ݕ‬− ‫ݕ‬ଵ = ݉(‫ ݔ‬− ‫ݔ‬ଵ )
Creating linear equations in
standard form given slope
and a point.
Creating linear equations in
standard form given two
points.
Building new linear functions
by translating, stretching,
shrinking, or reflecting.
Lesson 6.3 Standard Form
standard form: ‫ ݔܣ‬+ ‫ܥ = ݕܤ‬
Comparing properties of
linear functions given
algebra, a description, a table,
or a graph
Lesson 6.5 Comparing
Properties of Linear Functions
Creating and interpreting
linear models.
Lesson 7.1 Modeling Linear
Relationships
Creating functions to solve
one-variable equations.
Using intersections and
intercepts to determine
approximate solutions for
one-variable equations.
Graphing linear inequalities.
Homework
Due Dates
1. Personal Math Trainer
2. Textbook
௫మ ି௫భ
Lesson 6.1 Slope-Intercept
Form
slope-intercept form:
‫ ݔ݉ = ݕ‬+ ܾ
Lesson 6.4 Transforming
Linear Functions
family of functions, parent
function, parameter
Lesson 7.2 Using Functions to
Solve One-Variable Equations
Lesson 7.3 Linear Inequalities
in Two Variables
linear inequality in two variables,
solution of an inequality in two
variables, boundary line, halfplane
Lesson 5.1
Pages 170-172
1-3, 5-7, 11, 13, 16-17,
19-20, 23
Due:
Lesson 5.2
Pages 177-178
1, 3-5, 9-10, 13, 15-16,
20-21, 25-26
Lesson 5.3
Pages 184-187
1-4, 7, 9-10, 13, 16-19,
22, 24
Due:
Lesson 6.1
Pages 200-201
1, 5-6, 10-13, 15-17,
19, 21, 23, 26
Lesson 6.2
Pages 209-212
2-4, 6, 8-9, 14-15, 17,
21-22
Lesson 6.3
Pages 217-219
1-3, 6, 8-10, 13-15, 18,
20
Due:
Lesson 6.4
Pages 225-228
2, 4, 6, 8, 10, 12-13, 16,
19-20, 24
Lesson 6.5
Pages 233-238
1, 4, 8, 10, 14-15, 1819, 24
Lesson 7.1
Pages 248-249
1, 3-4, 6, 10, 12-13, 15,
21-22, 24-25
Lesson 7.2
Pages 255-258
1, 3, 5, 8, 10, 13, 16-17,
20, 23, 26
Due:
Lesson 7.3
Pages 263-264
1-2, 5-7, 9, 14-15, 17,
20, 24, 26
Due:
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ALGEBRA IA Unit 3: Linear Functions, Equations, and Inequalities
My L to J Results
Name_________________________________
Quiz #
1
2
3
4
5
6
7
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10
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Dates
Objective(s)
Problem #
5.1 Recognize linear functions.
1
5.1 Graphing linear functions given in standard form.
2
5.2 Identifying and interpreting intercepts of linear equations.
5.2 Graphing linear equations using intercepts.
5.3 Determining rates of change and slope.
5.3 Interpreting slope.
3
4
5.3 Determining slope using the slope formula.
5
6.1 Write equations in slope-intercept form.
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6.1 Graph equations in slope-intercept form
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6.2 Creating linear equations given a slope and a point.
6.2 Creating linear equations given two points.
6.3 Creating linear equations in standard form given slope and a point.
6.3 Creating linear equations in standard form given two points.
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9
6.4 Building new linear functions by translating, stretching, shrinking, or reflecting.
10
6.5 Comparing properties of linear functions given algebra, a description, a table, or a graph
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7.1 Creating and interpreting linear models.
12
7.2 Creating functions to solve one-variable equations.
13
7.2 Using intersections and intercepts to determine approximate solutions for one-variable
equations.
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7.3 Graphing linear inequalities.
15
Mark boxes with + when you answered the question correctly. Mark with 0 when you answered
the question incorrectly. There should be a total of 6 boxes marked for each L to J quiz.
# Already
Covered
# Correct
What did you do based on your L to J results? Be specific. (Examples: asked a question, watched a video, emailed Mr. Brandl, worked with a classmate, worked during lunch hour, tried more
problems from lesson, etc.)
Based on your L to J results, what areas do you need to focus on as you prepare for the unit test?
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