Algebra 2 Curriculum Maps

Algebra 2
Curriculum Map
2011-2012
Week #
Dates
1
8/22-26,
Standard(s)
1.0 Students solve equations and inequalities
involving absolute value.
2.0 Students solve systems of linear equations and
inequalities (in two or three variables) by
substitution, with graphs, or with matrices.
2
8/29 – 9/ 2
5.0 Students demonstrate knowledge of how real and
Topic
Textbook
Connections
1.7 Solving
Absolute Value
Equations and
Inequalities
2.8 Absolute
Value Functions
3.1 Solving
Linear Systems by
Graphing
3.2 Solving
Linear Systems
Algebraically
3.3 Graphing and
Solving Systems
of Linear
Inequalities
3.4 Linear
Programming
3.5 Graphing
Linear Equations
in Three Variables
3.6 Solving
Systems of Linear
Equations in Three
Variables
(Extension)
Solving Systems
Using Augmented
Matrices.
5.4 Complex
Number of
Questions
on CST
Algebra 2
Curriculum Map
2011-2012
complex numbers are related both arithmetically and
graphically. In particular, they can plot complex
numbers as points in the plane.
6.0 Students add, subtract, multiply, and divide
complex numbers.
3
9/6-9
8.0 Students solve and graph quadratic equations by
factoring, completing the square, or using the
quadratic formula. Students apply these techniques in
solving word problems. They also solve quadratic
equations in the complex number system.
9.0 Students demonstrate and explain the effect that
changing a coefficient has on the graph of quadratic
functions; that is, students can determine how the
graph of a parabola changes as a, b, and c vary in the
equation y = a(x-b)2 + c.
Numbers (include
1.1 Real Numbers
and Number
Operations)
5.4 Complex
Numbers (include
1.1 Real Numbers
and Number
Operations)
5.1 Graphing
Quadratic
Functions
5.2 Solving
Quadratic
Equations by
Factoring
5.3 Solving
Quadratic
Equations by
Finding Square
Roots
5.4 Complex
Numbers
Completing the
Square
5.6 The Quadratic
Formula and the
Discriminant
5.8 Modeling
with Quadratic
Functions
5.1 Graphing
Quadratic
Functions
4
9/12-16
Algebra 2
Curriculum Map
2011-2012
12.0a Students know and understand the laws of
fractional exponents
18.0 Students use fundamental counting principles to
compute combinations and permutations.
5
9/19-23
19.0 Students use combinations and permutations to
compute probabilities
20.0 Students know the binomial theorem and use it
to expand binomial expressions that are raised to
positive integer powers.
6.1 Using
Properties of
Exponents
7.1 nth Roots and
Rational
Exponents
7.2 Properties of
Rational
Exponents
The Fundamental
Counting
Principals and
Permutations
12.2
Combinations and
the Binomial
Theorem
The Fundamental
Counting
Principals and
Permutations
12.2
Combinations and
the Binomial
Theorem
12.3 An
Introduction to
Probability
12.2
Combinations and
the Binomial
Theorem
12.6 Binomial
Distributions
6
9/26-30
Algebra 2
Curriculum Map
2011-2012
21.0 Students apply the method of mathematical
induction to prove general statements about the
positive integers.
22.0 Students find the general term and the sums of
arithmetic series and of both finite and infinite
geometric series.
7
10/3-7
23.0 Students derive the summation formulas for
arithmetic series and for both finite and infinite
geometric series.
25.0 Students use properties from number systems to
justify steps in combining and simplifying functions.
8
10/10-14
Benchmark 1
11.6(Extension)
Mathematical
Induction
11.1 Sequences
and Series
11.2 Arithmetic
Sequences and
Series
11.3 Geometric
Sequences and
Series
11.4 Infinite
Geometric Series
11.1 Sequences
and Series
11.2 Arithmetic
Sequences and
Series
11.3 Geometric
Sequences and
Series
11.4 Infinite
Geometric Series
11.5 Recursive
Rules for
Sequences
Supplemental
Material
Thru out book
Algebra 2
Curriculum Map
2011-2012
Week #
Dates
Standard(s)
9
10/17-21
3.0 Students are adept at operations on polynomials,
including long division.
10
10/24-28
4.0 Students factor polynomials representing the
difference of squares, perfect square trinomials, and
Topic
Textbook
Connections
6.1 Using
Properties of
Exponents
6.2 Evaluating
and Graphing
Polynomial
Functions
6.3 Adding,
Subtracting
and
Multiplying
Polynomials
6.5 The
Remainder and
Factor Theorems
6.6 Finding
Rational Zeros
6.7 Using the
Fundamental
Theorem of
Algebra
6.8 Analyzing
Graphs of
Polynomial
Functions
6.9 Modeling
with Polynomial
Functions
5.2 Solving
Quadratic
Number of
Questions
on CST
Algebra 2
Curriculum Map
2011-2012
the sum and difference of two cubes.
11
12
13
10/31 – 11/4 10.0 Students graph quadratic functions and
determine the maxima, minima, and zeros of the
function.
11/7-10
11/14-18
24.0 Students solve problems involving functional
concepts, such as composition, defining the inverse
function and performing arithmetic operations on
functions.
25.0 Students use properties from number systems to
justify steps in combining and simplifying functions.
Equations by
Factoring
6.4 Factoring and
Solving
Polynomial
Equations
5.1 Graphing
Quadratic
Functions
7.3 Power
Functions and
Function
Operations
7.4 Inverse
Functions
7.5 Graphing
Square Root and
Cube Functions
7.6 Solving
Radical Equations
Supplemental
Material
Thru out book
14
15
16
17
11/21-22
11/28–12/2
12/5-9
12/12-16
Benchmark 2
Algebra 2
Curriculum Map
2011-2012
Week #
Dates
Standard(s)
18
12/19-1/2
1/3-6
Winter Recess
Students add, subtract, multiply, divide, reduce, and
evaluate rational expressions with monomial and
polynomial denominators and simplify complicated
rational expressions, including those with negative
exponents in the denominator.
19
1/9-12
Students understand the inverse relationship between
exponents and logarithms and use this relationship to
solve problems involving logarithms and exponents.
Topic
Textbook
Connections
9.1 Inverse and
Joint Variation
9.2 Graphing
Simple Rational
Functions
9.3 Graphing
General Rational
Functions
9.4 Multiplying
and Dividing
Rational
Expressions
9.5 Addition,
Subtraction and
Complex
Fractions
9.6 Solving
Rational
Equations
8.4 Logarithmic
Functions
8.5 Properties of
Logarithms
8.6 Solving
Exponential and
Logarithmic
Equations
8.7 Modeling
with
Number of
Questions
on CST
Algebra 2
Curriculum Map
2011-2012
Students judge the validity of an argument according
to whether the properties of real numbers, exponents,
and logarithms have been applied correctly at each
step.
Students know and understand exponential functions,
and use these functions in problems involving
exponential growth and decay.
Exponential
and Power
Functions
8.8 Logistics
Growth
Functions
Supplemental
Material Needed.
20
1/17-20
21
1/23-27
22
1/30–2/3
Students use the definition of logarithms to translate
between logarithms in any base
23
2/6-10
Students understand and use the properties of
logarithms to simplify logarithmic numeric
expressions and to identify their approximate values.
8.4 Logarithmic
Functions
8.5 Properties of
Logarithms
24
2/14-17
Students determine whether a specific algebraic
statement involving rational expressions, radical
expressions, or logarithmic or exponential functions
is sometimes true, always true, or never true.
Supplemental
Material Needed.
Textbook has a
few exercises that
pertain to this
standard. See
Teacher textbook
6.1 Using
Properties of
Exponents
8.1 Exponential
Growth
8.2 Exponential
Decay8.3 The
Number e
8.5 Properties of
Logarithms
25
2/21-24
Algebra 2
Curriculum Map
2011-2012
Students use properties from number systems to
justify steps in combining and simplifying functions.
Supplemental
Material
Thru out book
26
2/27–3/2
Benchmark 3
Algebra 2
Curriculum Map
2011-2012
Week #
Dates
Standard(s)
27
3/5-9
Students demonstrate and explain how the geometry
of the graph of a conic section (e.g., asymptotes, foci,
eccentricity) depends on the coefficients of the
quadratic equation representing it.
28
3/12-16
Given a quadratic equation of the form ax2 + by2 + cx
+ dy + e = 0, students can use the method for
completing the square to put the equation into
standard form and can recognize whether the graph
of the equation is a circle, ellipse, parabola, or
hyperbola. Students can then graph the equation.
29
3/19-23
Students use properties from number systems to
justify steps in combining and simplifying functions.
Topic
Textbook
Connections
10.1 The distance
and Midpoint
Formula
10.2 Parabola
10.3 Circles
10.4 Ellipses
Hyperbolas
10.8(Extension)
Eccentricity of
Conic Sections
10.6 Graphing
and Classifying
Conics
10.7 Solving
Quadratic Systems
Supplemental
Material
Thru out book
30
31
32
33
34
35
36
3/26-30
4/2-6
4/9-13
4/16-20
4//23-27
4/30 – 5/4
5/7-11
5/14-18
Spring Break
STAR testing
Benchmark 4
Number of
Questions
on CST
Algebra 2
Curriculum Map
2011-2012
37
38
39
5/21-25
5/29-6/1