Download ALGEBRA_2_ Curriculum map CORE

Pinconning Area High School
Course: ALGEBRA 2
September
S A.REI.12,F.IF.1, F.IF.2, F.IF.4,
t F.IF7a and b, F.LE.1a and b,
d S.ID.6c, S.ID.7, S.ID.8,
s S.ID.9, S.CP.1
C Interval Notation,
o Relations and Functions
u Linear Equations
r Slope
Family of Linear Functions
s Writing Linear Equations
e Using Scatterplots
Causation and Correlation
C Special Functions
o Graphing Inequalities
n CHAPTER 2
t
e
n
t
S Use Interval Notation
k • Analyze and graph relations.
i • Find functional values.
l • Identify linear equations and
functions.
l • Write linear equations in
s standard form and graph them.
• Find and use the slope of a line.
T • Graph parallel and perpendicular
a lines.
u • Use a graphing calculator to
g investigate how changing the
h 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.
• 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.
Curriculum Map-- SEMESTER 1 Common Core Standards
October
November
December
N.VM.6, N.M.7, N.VM.8,
N.VM.9, N.VM.10,
A.CED.2A.REI.9, A.REI.11,
A.REI.12, F.IF.5, F.LE.5,
N.CN.1, N.CN.2, N.CN.3, N.CN.7, A.SSE.2,
N.CN.9, A.APR.2, A.APR.6, A.REI.10, F.IF.4,
A.SSE.3a and b, A.REI.4a and b, A.REI.10, F.IF.4, F.IF.7b and c, F.BF.1b and c, F.BF.3, F.BF.4a,
F.IF.7a, F.IF.8a, F.IF.9, F.BF.3,
Solving Systems of Equations
Graphically and Algebraically
Solving Systems of Inequalities
by Graphing
Linear Programming Solving
Introduce matrices, use matrix
operations, mult.,matrices,
calculate identity matrices,
solve systems of equations
using matrices
CHAPTERS 3 and 4
Graphing Quadratic Functions
Solving Quadratic Equations by Graphing
Modeling Data Using Quadratic Functions
Solving Quadratic Equations by Factoring
Complex Numbers
Completing the Square
The Quadratic Formula and the Discriminant
The Family of Parabolas
Analyzing Graphs of Quadratic Functions
CHAPTER 5
Dividing Polynomials
Polynomial functions
Analyze Graphs of Polynomials
Factor Polynomials
Remainder and Factor Thm.
Roots and Zeros
Function Operations
Inverse Functions
Square Root Functions
CHAPTER 6 AND SOME OF 7
END SEMESTER AT SECTION 7-3
• 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.
• 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.
Compare properties of two functions
• Divide polynomials using long division.
• Divide polynomials using synthetic division.
• Evaluate polynomial functions.
• Identify general shapes of graphs of polynomial
functions.
• Graph polynomial functions and locate their real
zeros.
• Find the maxima and minima of polynomial
functions.
• Use a graphing calculator to find a polynomial
regression equation to model a set of
data.
• Factor polynomials.
• Solve polynomial equations by factoring.
• Evaluate functions using synthetic substitution.
• Determine whether a binomial is a factor of a
polynomial by using synthetic substitution.
• Determine the number and type of roots for a
polynomial equation.
• Find the zeros of a polynomial function.
• Find the sum, difference, product and quotient of
functions.
• Find the composition of functions.
• Find the inverse of a function or relation.
• Determine whether two functions or relations are
inverses.
• Graph and analyze square root functions.
• Graph square root inequalities
R Chapter Resource Masters
e Interactive Study Notebook
s 5-Minute Checks
o Standardized Test Practice
Manipulatives
u Textbook
r Assessment Suite CD
c Teacher Works Plus CD
e Interactive Classroom CD
s 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
Int. Math 2 and 3 Material
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
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
U
s
e
d
A Homework
s In Class Assignments
s Quizzes
e Tests
Participation
s Math Labs and activities
s
m
e
n
t
I
n Integrate writing prompts &
t constructed response questions
e
g
r
a
t
e
d
C
u
r
r
i
c
u
l
u
m
Integrate writing prompts &
Integrate writing prompts & constructed response
constructed response questions questions
Integrate writing prompts & constructed response
questions
Sta
nd
ard
s
Pinconning High School
Course: ALGEBRA 2
January
Curriculum Map
February
SEM. 2 COMMON CORE STANDARDS
March
April
May
F.BF.4, A.APR.7, A.REI.11, A.SSE.1b,F.BF.1a and c,
A.SSE.4, A.APR.5, F.IF.3,
S.ID.3, S.ID.4, S.CP.3, S.CP.4, F.IF.4, F.IF.7e, F.TF.1, F.TF.2, F.TF.4,
F.IF.7b and c,
F.BF.2, F.BF.5, F.LE.1a, F.LE.2, F.BF.1a, F.BF.2, F.LE.2, S.ID.5, S.CP.5, S.CP.6, S.CP.7, S.CP.8 F.TF.5, F.TF.8
S.ID.6a,F.IF.7e, F.IF.8b,
F.LE.3, F.LE.4, S.ID.6b
S.CP.1, S.CP.2,
F.LE.1c
Ch 7 (1st sem.)
Co
urs Finish Inverses and Square
e Roots 1st semester
Co
nte 2nd Semester (start ch. 8)
nt
Mult. and div. rational
expressions, add & subtract
rational expressions, graph
rational functions,
Exponential, functions
Logarithmic functions, compare Geometric series (finite)
and solve exp. equations with Recursions and Special
other types, convert log to exp. Sequences
Form and vice versa, Graph and Binomial Thm., and pascales
solve exponential reg.,
triangles
properties of logs, common
2 way freg. tables
logs, natural logs, exponential And, or, not prob.
growth and decay
Arithmetic Sequences and
series, geometric sequences
Prob. of indep. and dep. events
Mutually exclusive and
inclusive events
Make and identify histograms
Central tend.
Normal distributions
Cond. Prob.
Right tri. Trig
Angles and Radians
Trig. Functions of general angles
Circular functions
Graph Trig. Functions
Translate trig. Functions
Solve basic trig. Functions
Solve with Pyth. Identity
Ski
lls
Ta
ug
ht
Res
our
ces
Use
d
1st semester
Invereses
•Solve exponential equations • Find sums of geometric series.
and inequalities.
• Find specific terms of
2nd semester
• Evaluate logs
geometric series.
•Simplify rational expressions • solve log equations and
• Find the sum of an infinite
• Simplify complex fractions. inequalities
geometric series
• Add and Subtract rational
• Simplify and evaluate
expressions.
expressions using the properties • Recognize and use special
• Find Domain and ranges of
of logarithms.
sequences.
rational functions.
• Solve logarithmic equations • Recursive equations
• Graph rational functions.
using the properties of
Binomial Thm.
• Graph exponential functions logarithms.
Summarize 2 way frequency
Solve exp. And quad. Functions • Solve exponential equations tables
by graphing
and inequalities using common
logarithms.
Prob. ands, ors, & nots
• Evaluate logarithmic
expressions using the Change of
Base Formula.
• Use a graphing calculator to
solve logarithmic equations and
inequalities.
• Evaluate expressions
involving the natural base and
natural logarithms.
• Solve exponential equations
and inequalities using natural
logarithms.
• Use logarithms to solve
problems involving exponential
decay.
• Use logarithms to solve
problems involving exponential
growth.
Solve and graph various types
of equations and compare them
to find the best solution (lines,
exp., and quads.)
• Solve problems involving
independent events.
• Solve problems involving
dependent events.
Probability of mutually
exclusive events, inclusive
events, complementary events
• Create Histograms
•Make relative frequency
histograms and classify them.
Measures of central tendencies
including stand. dev.
Normal distributions
Conditional Probability
Go over 6 trig. Functions
Convert radians to degrees and vice
versa
Reference angles
Graph trig functions and determine the
period, amplitude, and midline
Translate trig. Functions with a vertical
shift
Solve Trig. functions
Solve using pythagorean identity
Chapter Resource Masters
Noteables Interactive Study
Notebook
5-Minute Check Transparencies
Standardized Test Practice
Teaching Algebra with
Manipulatives
Textbook
Exam View Assess-ment Suite
CD
Teacher Works Plus CD
Glencoe Interactive Classroom
CD
TI Graphing Calculators
Int. Math 3 Material
Chapter Resource Masters
Noteables Interactive Study Notebook
5-Minute Check Transparencies
Standardized Test Practice
Teaching Algebra with Manipulatives
Textbook
Exam View Assess-ment Suite CD
Teacher Works Plus CD
Glencoe Interactive Classroom CD
TI Graphing Calculators
Use Integrated 3 material to
supplement the extra added material
(textbook and Practice masters)
Int. Math 3 Material
Use arithmetic sequences.
• Find arithmetic means.
• Find sums of arithmetic series.
• Use sigma notation.
• Use geometric sequences.
• Find geometric means
Chapter Resource Masters
Chapter Resource Masters
Noteables Interactive Study
Noteables Interactive Study
Notebook
Notebook
5-Minute Check Transparencies 5-Minute Check Transparencies
Standardized Test Practice
Standardized Test Practice
Teaching Algebra with
Teaching Algebra with
Manipulatives
Manipulatives
Textbook
Textbook
Exam View Assess-ment Suite Exam View Assess-ment Suite
CD
CD
Teacher Works Plus CD
Teacher Works Plus CD
Glencoe Interactive Classroom Glencoe Interactive Classroom
CD
CD
TI Graphing Calculators
TI Graphing Calculators
Int. Math 3 Material
Int. Math 3 Material
Chapter Resource Masters
Noteables Interactive Study
Notebook
5-Minute Check Transparencies
Standardized Test Practice
Teaching Algebra with
Manipulatives
Textbook
Exam View Assess-ment Suite
CD
Teacher Works Plus CD
Glencoe Interactive Classroom
CD
TI Graphing Calculators
Int. Math 3 Material
Ass
ess
me
nt
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
Homework
In Class Assignments
Quizzes
Tests
Participation
Math Labs and activities
Int
Integrate writing prompts &
Integrate writing prompts &
Integrate writing prompts &
Integrate writing prompts &
egr Integrate writing prompts &
ate constructed response questions constructed response questions constructed response questions constructed response questions constructed response questions
d
Cu
rri
cul
um