Download Algebra II Semester 1,2010-11 - Pinconning Area School District

Pinconning Area High School
Course: ALGEBRA 2
September
Standards
Course
Content
Skills Taught
L1.2.1, A.1.1.4,
A1.1.1, A1.2.8,
A2.1.1, A2.1.2,
A2.1.3 , A2.3.3
Expressions and
Formulas
Properties of Real
Numbers
Solving Equations
Solving Absolute Value
Equations
Solving Inequalities
Solving Compound and
Absolute Value
Inequalities
Relations and Functions
Linear Equations
Slope
Family of Linear
Functions
Writing Linear Equations
Use the order of
operations to evaluate
expressions.
• Use formulas.
• Classify real numbers.
• Use the properties of
real numbers to evaluate
expressions.
• Translate verbal
expressions into
algebraic expressions and
equations, and vice versa.
• Solve equations using
the properties of equality.
• Evaluate expressions
involving absolute
values.
• Solve absolute value
equations.
• Solve inequalities with
one operation.
• Solve multi-step
inequalities.
• Solve compound
inequalities.
• Solve absolute value
inequalities.
• Analyze and graph
relations.
• Find functional values.
• Identify linear
equations and functions.
• Write linear equations
in standard form and
graph them.
• Find and use the slope
of a line.
• Graph parallel and
perpendicular lines.
• Use a graphing
calculator to investigate
how changing the
parameters m and b in
f(x) = mx + b affects the
graph of f(x) = x.
• Write an equation of a
line given the slope and a
point on the line.
• Write an equation of a
line parallel or
perpendicular to a given
line.
Curriculum Map-- SEMESTER 1 2010-2011
October
S1.1.1, A1.2.9, A2.3.1,
A2.4.1, A1.2.8
November
A1.2.8, A2.4.2, A2.1.7, A1.2.9, A2.1.6,
A1.2.2, L2.1.5, A2.4.1, A2.4.2
Introduce matrices, calculate identity
Using Scatter Plots
matrices, solve systems of equations using
Lines of Regression
matrices
Special Functions
Graphing Quadratic Functions
Graphing Inequalities
Solving Quadratic Equations by Graphing
Solving Systems of
Modeling Data Using Quadratic Functions
Equations Graphically and Solving Quadratic Equations by Factoring
Algebraically
Complex Numbers
Solving Systems of
Inequalities
by Graphing
Linear Programming
Solving Systems of
Equations in Three
Variables
• Draw scatter plots.
• Find and use prediction
equations.
• Use a graphing calculator
to find a line that best fits a
set of data.
• Identify and graph step,
constant, and identity
functions.
• Identify and graph
absolute value and
piecewise functions.
• Graph linear inequalities.
• Graph absolute value
inequalities.
• Solve systems of linear
equations by graphing.
• Determine whether a
system of linear equations is
consistent and independent,
consistent and dependent, or
inconsistent.
• Solve systems of linear
equations by using
substitution.
• Solve systems of linear
equations by using
elimination.
• Solve systems of
inequalities by graphing.
• Determine the coordinates
of the vertices of a region
formed by the graph of a
system of
inequalities.
• Use a graphing calculator
to graph systems of linear
inequalities.
• Find the maximum and
minimum values of a
function over a region.
• Solve real-world problems
using linear programming.
• Solve systems of linear
equations in three variables
• Find dimensions of matrices
• +,-,* matrices.
• Find inverses of matrices
• Solve systems of linear equations in three
variables using matrices.
• Solve real-world problems using systems of
linear equations in three variables.
• Graph quadratic functions.
• Find and interpret the maximum and
minimum values of a quadratic function.
• Solve quadratic equations by graphing.
• Estimate solutions of quadratic equations
by graphing.
• Write quadratic equations in intercept form.
• Solve quadratic equations by factoring.
• Find square roots and perform operations
with pure imaginary numbers.
• Perform operations with complex numbers.
• Solve quadratic equations by using the
Square Root Property.
• Solve quadratic equations by completing
the square.
• Solve quadratic equations by using the
Quadratic Formula.
• Use the discriminant to determine the
number and type of roots of a quadratic
equation.
• Analyze quadratic functions in the form y =
a (x - h) 2 + k.
• Write a quadratic function in the form y = a
(x - h) 2 + k.
• Graph quadratic inequalities in two
variables.
• Solve quadratic inequalities in one variable.
December/ January
A2.3.3, A2.4.2, A1.2.5, A2.1.7, A2.1.3, A2.2.2,
A2.1.6, A1.2.7, A2.4.1, A2.4.2
Completing the Square
The Quadratic Formula and the Discriminant
The Family of Parabolas
Analyzing Graphs of Quadratic Functions
Modeling Motion
Graphing and Solving Quadratic Inequalities
Properties of Exponents Ch 6 (1st sem.)
Operations with polynomials, Dividing
polynomials with long and synthetic division,
polynomial functions and their graphs
• Solve quadratic equations by completing the
square.
• Solve quadratic equations by using the Quadratic
Formula.
• Use the discriminant to determine the number
and type of roots of a quadratic
equation.
• Analyze quadratic functions in the form y = a (x h) 2 + k.
• Write a quadratic function in the form y = a (x h) 2 + k.
• Graph quadratic inequalities in two variables.
• Solve quadratic inequalities in one variable. Use
properties of exponents to multiply and divide
monomials.
• Use expressions written in scientific notation.
• use properties of exponents to multiply or divide
monomials
Resources
Used
Chapter Resource
Masters
Interactive Study
Notebook
5-Minute Checks
Standardized Test
Practice Manipulatives
Textbook
Assessment Suite CD
Teacher Works Plus CD
Interactive Classroom
CD
TI Graphing Calculators
Chapter Resource Masters
Interactive Study Notebook
5-Minute Checks
Standardized Test Practice
Manipulatives
Textbook
Assessment Suite CD
Teacher Works Plus CD
Interactive Classroom CD
TI Graphing Calculators
Chapter Resource Masters
Interactive Study Notebook
5-Minute Checks
Standardized Test Practice Manipulatives
Textbook
Assessment Suite CD
Teacher Works Plus CD
Interactive Classroom CD
TI Graphing Calculators
Chapter Resource Masters
Interactive Study Notebook
5-Minute Checks
Standardized Test Practice Manipulatives
Textbook
Assessment Suite CD
Teacher Works Plus CD
Interactive Classroom CD
TI Graphing Calculators
Assessment
Homework
In Class Assignments
Quizzes
Tests
Participation
Math Labs and activities
Homework
In Class Assignments
Quizzes
Tests
Participation
Math Labs and activities
Homework
In Class Assignments
Quizzes
Tests
Participation
Math Labs and activities
Homework
In Class Assignments
Quizzes
Tests
Participation
Math Labs and activities
Integrated
Curriculum
Integrate writing prompts Integrate writing prompts & Integrate writing prompts & constructed
& constructed response constructed response
response questions
questions
questions
Integrate writing prompts & constructed response
questions