Algebra II Curriculum Map 2014-2015

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Algebra II Curriculum Map (2014-2015)
Time
TopicsFrameEssential
pacing
Questions
Aug.
Unit 1-6-26
Introduction
to Course
and Review
Learner Targets-Objectives
**I Can…
 Algebra I Skills Review
- demonstrate knowledge of properties of real
numbers
-
evaluate and simplify expressions
solve linear equations and inequalities
solve word “work” problems
 Compound inequalities
-solve compound linear inequalities
 Absolute Value equations and
inequalities
-solve abs. value equations and inequalities
Aug.
27Sept.
12
Unit 2—
Functions
and
Relations
 Functions and Relations
-Distinguish between functions and
relations
o Domain/Range
-identify the domain and range of
functions and relations
o Independent/dependent
variables
-recognize independent/dependent
variables in relations and functions
 Parent Functions
-recognize the graph and equations of the
Activities
-Assessments
-Fundamental
Algebra I Skills
assessment
- Course PreTest
-Class Openers:
Number Word
Problems
-Worksheets
- Quizzes
-Unit Test
Resources
Amsco—Alg.
II
ConnectionsReading/Writing/
AH/PLCS
Formulate
answers in
sentence form.
Larson,
Burger, and
Glencoe Alg.
II texts
Quality Core
Item Pool
(MAP Testing
as scheduled)
-Class Opener
Focus:
Consecutive
Integers)
-Map Activity w/
Narrative + Cat,
Dog, Alligator
Activity
-Activity (i.e.
hula hoop, ball
bounce, etc.)
-Unit Review
-Unit Test
Amsco—Alg.
II
Narrative—map
activity
Larson,
Burger, and
Glencoe Alg.
II texts
Art—cat, dog,
alligator activity
TI-83
Graphing
Calculator
Math iXL
parent functions
Quality Core
Algebra II Curriculum Map (2014-2015)
 Graphing lines
o Tables
Item Pool
-graph a line from a table of values
-write a table of values for a given line
o Slope-intercept
-graph a line from slope-intercept
o X- and y- intercepts
-graph a line from x- and y-intercepts
 Slope (Rate of Change)
o Parallel/Perpendicular
-Use the slope of the line to determine if
lines are parallel or perpendicular
 Equations of Lines
-Identify and write an equation of a line in the
following forms:
o Standard form
o Slope-intercept form
o General form
 Midpoint and Distance
-Given two points I can calculate the midpoint of
and the distance between the points.
 Line of Regression
-calculate line of regression by hand and with
technology
Sept.
15Sept.
23
Unit 3—
Special
Functions
 Graphing Special Functions with
Transformations
o Piecewise
-Class Opener
Focus: Motion
Word Problems
Amsco—Alg.
II
Larson,
Sports
application—0pen
Response
Algebra II Curriculum Map (2014-2015)
-Graph a piecewise function from an
equation
-Write a piecewise function from a graph
o Absolute Value
- Graph an abs. value function from an
equation
-Write an abs. value function from a
graph
o Greatest Integer
- Graph a greatest integer function from
an equation
-Write a greatest integer function from a
graph
o Constant
Graph a constant function from an
equation
-Write a constant function from a graph
o Identity
- Graph a identity function from an
equation
-Write a identity function from a graph
 Linear Inequalities (Shading)
-Identify the solution region for linear inequalities
by graphing.
 Absolute Value Inequalities
(Shading)
- Identify the solution region for abs. value
inequalities by graphing.
Text
assignments
Group work
Burger, and
Glencoe Alg.
II texts
TI-83
Sports
Graphing
application—
0pen Response Calculator
Math iXL
Math iXL
Review
sessions
Quality Core
Item Pool
Math iXL
Unit Test
Kutasoftware
Algebra II Curriculum Map (2014-2015)
Sept.
24Oct. 2
Unit 4—
Systems of
Equations
and
Inequalities
 Systems of Equations
o Graphing
-solve a system of linear equations by
graphing.
o Substitution
- solve a system of linear equations by
substitution.
-Class Opener
Focus: Coin
Word Problems
-Real world
applications
-group projects
-Unit Review
-Unit Test
o Elimination
- solve a system of linear equations by
Amsco—Alg.
II
Larson,
Burger, and
Glencoe Alg.
II texts
TI-83
Graphing
Calculator
elimination.
o Types of Systems
Math iXL
-identify and describe the three types of
systems (i.e. consistent dependent,
consistent independent, and
inconsistent)
Quality Core
Item Pool
 Linear Systems of Inequalities
- Identify the solution region for a system of
Math iXL
Kutasoftware
linear inequalities by graphing and shading.
Oct.
Unit 5—
13Matrices
Oct. 22
 Add, Subtract, Multiply and Scalar
operations
-perform operations on matrices.
 Equal Matrices
-describe equal matrices
 Determinants (2x2 and 3x3)
-calculate the determinants of 2x2 and 3x3
-Class Opener
Focus: Per
Cent and
Percentage
Problems
- Word
Problems
-Real world
applications
Algebra II Curriculum Map (2014-2015)
matrices with and without technology.
 Area using matrices
-find the area of a triangle using matrices.
-group projects
-Unit Review
-Unit Test
 2x2 inverse
-calculate the inverse of a 2x2 matrix with and
without technology.
 Cramer’s Rule (Core Course—
OMIT)
-solve a 2x2 linear system using Cramer’s Rule.
 Solving system using inverse
matrices (Calculator only)
Oct.
23Nov. 7
Unit 6—
Polynomials
 Exponent Rules
-Simplify expressions involving powers
 Scientific Notation
-perform operations using scientific notation
 All 4 operations with Polynomials
-add and subtract polynomials
-multiply polynomials using distributive property,
FOIL, Sum and Difference, and Squaring a
Binomial
-divide polynomials using long and synthetic
division.
Nov.
10Nov.
25
Unit 7—
Factoring




Greatest Common Factor (GCF)
Difference of 2 Squares (D2S)
Perfect Square Trinomial (PTS)
General Trinomial (GT)
-Class Opener
Focus: Mixture
Word Problems
-Puzzles
-Quizzes
-Review
sessions
(groups)
-Unit Test
All
aforementioned
resources
utilized.
Punchline
Puzzles
Algebra II Curriculum Map (2014-2015)
 Grouping
 Sum & Difference of Cubes (Core
Course-OMIT)
--factor polynomials utilizing all aforementioned
techniques.
Dec. 1- Unit 8—
Dec.
Radicals
19
Jan. 5Jan.
16
Unit 9—
Complex
Numbers






Simplify radicals
Add/Subtract radicals
Multiply radicals
Conjugates
Rational exponents
Radical Equations
 Operations
-add, subtract, multiply, and divide complex
numbers
 Conjugates
-identify and utilize conjugates of complex
numbers
Jan.
20Feb. 6
Unit 10—
Quadratic
Equations
 Factoring
-solve quadratic equations by factoring
 Zeros/Roots/x-intercepts/solutions
of Quadratics
-solve quadratic equations
 Quadratic Formula
-solve quadratic equations
 Square Root Method
-Class Opener
Focus:
Investment
Word Problems
-Puzzles
-Quizzes
-Review
sessions
-Unit Test
-Class Opener
Focus: Age
Word Problems
-Assignments
-Quizzes
-Unit Review
-Unit Test
-Calculator
practice
graphing
parabolas
All
aforementioned
resources
utilized.
Punchline
Puzzles
All
aforementioned
resources
utilized.
Algebra II Curriculum Map (2014-2015)
-solve quadratic equations
 Completing the Square
-solve quadratic equations
 Discriminant
-use the discriminant to describe the number
and nature of the zeros of a quadratic equation.
Feb. 9Feb.
18
Unit 11—
Quadratic
Functions
 Parabolas (Graphing)
o Standard
o Vertex
o Transformations
 Quadratic Real-World Problems
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