MARLBORO CENTRAL SCHOOL DISTRICT-CURRICULUM MAP
Subject: NYS Algebra II and Trigonometry
Grade High School
Pacing
Chapter / Lesson / Unit
Lesson Aim
NYSED Content Strand
Lesson Objectives
Text: Chapter 1: Tools of Algebra Lesson 1-1: Properties of Real Numbers
September
Part 1: Graphing and Ordering Real
Numbers Part 1: Graphing and
Ordering Real Numbers
How do we name and order real A2.CM.12
numbers, and how do we use
properties of real numbers?
Graphing and ordering real
numbers. Identifying and using
properties of real numbers.
How do we use properties and
the order of operations to
evaluate and simplify algebraic
expressions?
A2.CN.3
Evaluating algebraic
expressions. Combining like
terms.
How do we use properties of
equality to solve equations?
A2.CM.11
Learning procedures to solve
equations.
Lesson 1-2: Algebraic Expressions
Part 1: Evaluating Algebraic
Expressions Part 2: Simplifying
Algebraic Expressions
Lesson 1-3: Solving Equations
Part 1: Solving Equations
Part 2: Writing Equations to Solve
Problems
Solving word problems by writing
and solving equations.
Lesson 1-4: Solving Inequalities
Part 1: Solving and Graphing
Inequalities Part 2: Compound
Inequalities
How do we relate solving
inequalities to solving
equations?
A2.A.1
Solving inequalities involving
linear expressions in one
variable.
Lesson 1-5: Absolute Value Equations and Inequalities
Math Alg 2 Trig HS
2010
Part 1: Absolute Value Equations
How can we apply the definition A2.A.1
of absolute value to solve an
absolute value equation?
Understanding the procedures to
solve an absolute value equation.
Part 2: Absolute Value Inequalities
How do we solve absolute value
inequalities?
Solving and graphing an absolute
value inequality.
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Lesson Objectives
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Lesson 1-6: Probability
Part 1: Experimental Probability Part
2: Theoretical Probability
How do we calculate empirical Finding experimental and
and theoretical probabilities?
theoretical probabilities.
A2.S.13 A2.S.14
Text: Chapter 2: Functions, Equations, and Graphs Lesson
2-1: Relations and Functions
Part 1: Graphing Relations
What is the definition of a
relation?
Graphing a relation, identifying its A2.A.37, A2.A.38, A2.A.39,
domain and range.
A2.A.52
Part 2: Identifying Functions
How do we determine whether Using the vertical-line test.
a relation is a function?
Lesson 2-2: Linear Equations
Part 1: Graphing Linear Equations
How do we graph equations of Graphing linear equations.
lines?
Part 2: Writing Equations of Lines
How do we write linear
equations?
A2.PS.4, A2.RP.3
Writing equations of lines.
Lesson 2-3: Direct Variation
Part 1: Writing and Interpreting a Direct How can we identify and apply Using direct variation to solve for A2.A.5
Variation
direct variation?
unknown values.
Lesson 2-4: Using Linear Models
October
Math Alg 2 Trig HS
2010
Part 1: Modeling Real-World Data Part When is it appropriate to use a Using scatterplots and trendlines A2.S.6
2: Predicting with Linear Models
linear equation to model a real- to make predictions.
world situation?
Pacing
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Lesson 2-5: Absolute Value Functions and Graphs (Optional)
Lesson 2-6: Families of Functions
Part 1: Translations Part 2: Stretches, How can we use
Shrinks, and Reflections
transformations to write
equations of functions and
graph equations?
Performing transformations with
functions.
A2.A.40, A2.A.41, A2.A.46
Lesson 2-7: Two-Variable Inequalities
Part 1: Graphing Linear Inequalities
Part 2: Graphing Two-Variable
Absolute Value Inequalities (Optional)
How do we graph the solutions Correctly graphing the boundary
to a linear inequality?
line and the shaded region that
represent the solution region.
Text: Chapter 3: Linear Systems Lesson 3-1: Graphing Systems of Equations
Part 1: Systems of Linear Equations
How do we solve a system of
linear equations by graphing?
Solving a system by graphing.
A2.PS.2
When can we use substitution
to solve a system of
equations?
Solving a system using
substitution.
A2.PS.10
Text: Lesson 3-2: Solving Systems Algebraically
Part 1: Solving Systems by
Substitution
Part 2: Solving Systems by Elimination When can we use the method Solving a system using
of elimination to solve a system elimination.
of equations?
Text: Lesson 3-3: Systems of Inequalities
Part 1: Solving Systems of Inequalities How do we solve a system of
inequalities?
Math Alg 2 Trig HS
2010
Using a table or graphing to
solve a systems of inequalities.
A2.PS.4
Pacing
Chapter / Lesson / Unit
Lesson Aim
Lesson Objectives
How can we use graphs of
linear inequalities to solve
problems?
Using graphs to of linear
A2.PS.4
inequalities to represent problem
situations.
NYSED Content Strand
Text: Lesson 3-4: Linear Programming
Part 1: Finding Maximum and
Minimum Values Part 2: Solving
Problems with Linear Programming
Text: Lesson 3-5: Graphs in Three Dimensions
Part 1: Graphing Points in Three
How do we locate a point in a
Dimension Part 2: Graphing Equations three-dimensional coordinate
in Three Dimensions (Optional)
system?
Graphing points with three
coordinates.
A2.R.1
A2.R.2
Text: Lesson 3-6: Systems with Three Variables (Optional)
Text: Chapter 4: Matrices Lesson 4-1: Organizing Data Into Matrices
Part 1: Identifying Matrices
What are matrices?
Identifying the dimensions of a
matrix and element of a matrix.
Part 2: Organizing Statistical Data
How can we use matrices?
Using matrices to organize data.
How do we add and subtract
matrices?
Using matrix addition and
subtraction.
Text: Lesson 4-2: Adding and Subtracting Matrices
Part 1: Adding and Subtracting
Matrices Part 2: Solving Matrix
Equations (Optional)
Text: Lesson 4-3: Matrix Multiplication
Part 1: Multiplying a Matrix by a Scalar What is scalar multiplication?
Part 2: Multiplying Matrices (Optional)
Math Alg 2 Trig HS
2010
Multiplying the elements of a
matrix by a scalar.
Pacing
Lesson Aim
Lesson Objectives
Part 1: Translations and Dilations with
Matrices
How can we use matrices to
represent translations and
dilations?
Representing translations and
dilations with matrices.
Part 2: Reflections and Rotations with
Matrices
How can we use matrices to
represent reflections and
rotations?
Representing reflections and
rotations with matrices.
Chapter / Lesson / Unit
NYSED Content Strand
Lesson 4-4: Geometric Transformation With Matrices
November
A2.PS.4, A2.RP.1, A2.CN.3
Lesson 4-5: 2 ∇ 2 Matrices, Determinants, and Inverses (Optional)
Lesson 4-6: 3 ∇ 3 Matrices, Determinants, and Inverses (Optional)
Lesson 4-7: Inverse Matrices and Systems (Optional)
Lesson 4-8: Augmented Matrices and Systems (Optional)
Text: Chapter 5: Quadratic Equations and Functions Lesson 5-1: Modeling Data with Quadratic functions
Part 1: Quadratic Functions and Their
Graphs Part 2: Using Quadratic
Models
How can we use quadratic
functions?
Identifying the graph of a
quadratic function.
A2.S.7, A2.A.40, A2.A.41
Lesson 5-2: Properties of Parabolas (Optional)
Lesson 5-3: Transforming Parabolas
Part 1: Using Vertex Form
How do we graph and write an Performing translations with
equation of a parabola?
parabolas.
A2.A.46
Lesson 5-4: Factoring Quadratic Expressions
Part 1: Finding Common and Binomial How do we factor a quadratic Finding common and binomial
A2.A.7
Factors
expression of the form ax2 + bx factors of quadratic expressions.
+ c?
Part 2: Factoring Special Expressions
Math Alg 2 Trig HS
2010
How do we factor quadratic
expressions of the form a2 ±
2ab + b2 and a2–b2?
Factoring a perfect square
trinomial and the difference of
two squares.
Pacing
Lesson Aim
Lesson Objectives
How do we solve quadratic
equations that can be
factored?
Solving quadratic equations by
factoring completely and by
graphing.
A2.A.7
Part 1: Identifying Complex Numbers
What is the square root of a
negative number?
Recognizing imaginary and
complex numbers.
A2.N.6, A2.N.7, A2.N.9
Part 2: Operations with Complex
Numbers
How do we add and multiply
complex numbers?
Simplifying sums and products of
complex numbers.
Chapter / Lesson / Unit
NYSED Content Strand
Lesson 5-5: Quadratic Equations
Part 1: Solving by Factoring and
Finding Square Roots Part 2: Solving
by Graphing
Lesson 5-6: Complex Numbers
Lesson 5-7: Completing the Square
Part 1: Solving Equations by
Completing the Square
How can we solve a quadratic Solving quadratic equations by
equation in standard form
completing the square.
when the quadratic expression
is not factorable?
A2.A.24, A2.N.6
Part 2: Rewriting a Function by
Completing the Square
How can we apply the
technique of completing the
square?
Rewriting a quadratic function in
vertex form.
Part 1: Using the Quadratic Formula
How do we solve quadratic
equations using the quadratic
formula?
Deriving and using the quadratic A2.A.2, A2.A.25, A2.N.6
formula.
Part 2: Using the Discriminant
What are the relationships
between the discriminant and
the solutions to a quadratic
equation?
Using the discriminant to
determine the nature of the roots
of a quadratic equation.
Lesson 5-8: The Quadratic Formula
Math Alg 2 Trig HS
2010
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Text: Chapter 6: Polynomials and Polynomial Functions Lesson 6-1: Polynomial Functions
December
Part 1: Exploring Polynomial Functions How is the shape of the graph Classifying polynomials, and
Part 2: Modeling Data With a
of a polynomial function related modeling data using polynomial
Polynomial Function
to the degree of the
functions.
polynomial?
A2.A.40, A2.A.41, A2.S.6
Lesson 6-2: Polynomials and Linear Factors
Part 1: The Factored Form of a
Polynomial
How do we write a polynomial
in factored form?
Analyzing the factored form of a
polynomial.
Part 2: Factors and Zeros of a
Polynomial Function
What is the connection
Writing a polynomial function
between the factors of a
from its zeros.
polynomial and the zeros of the
related polynomial function?
A2.A.7, A2.A.26
Lesson 6-3: Dividing Polynomials
Part 1: Using Long Division
How do we use long division to Dividing polynomials using long
divide polynomials?
division.
Part 2: Using Synthetic Division
What is synthetic division, and
how can we use it to divide
polynomials?
A2.A.7, A2.A.26
Dividing polynomials using
synthetic division.
Lesson 6-4: Solving Polynomial Equations
Part 1: Solving Equations by Graphing How can we use graphing to
solve polynomial equations of
degree greater than two?
Math Alg 2 Trig HS
2010
Using graphing to find the
A2.A.26
solutions to polynomial equations
of higher degree.
Pacing
Chapter / Lesson / Unit
Part 2: Solving Equations by Factoring
Lesson Aim
Lesson Objectives
NYSED Content Strand
How can we use factoring to Using factoring to find the
solve polynomial equations of solutions to polynomial
degree greater than two?
equations of higher degree.
A2.A.26
How can we solve equations
using the Rational Root
Theorem, the Irrational Root
Theorem, and the Imaginary
Root Theorem?
A2.N.8
Lesson 6-5: Theorems About Roots of Polynomial Equations
Part 1: The Rational Root Theorem Part
2: Irrational Root Theorem and Imaginary
Root Theorem
Using the Rational Root
Theorem to find the rational
roots of a polynomial equation
and using conjugates to find
irrational roots of a polynomial
equation.
Lesson 6-6: The Fundamental Theorem of Algebra
Part 1: The Fundamental Theorem of
Algebra
How do we use the
Using the Fundamental
Fundamental Theorem of
Theorem of Algebra to find all
Algebra to solve polynomial
zeros of polynomial function.
equations with complex roots?
A2.CN.8
How do we solve problems
involving combinatorial
analysis?
A2.S.10, A2.S.22
Lesson 6-7: Permutations and Combinations
Part 1: Permutations Part 2:
Combinations
Finding permutations and
combinations.
Lesson 6-8: The Binomial Theorem
Part 1: Binomial Expansion and Pascal’s
Triangle Part 2: The Binomial Theorem
How can we find any given
Expanding a binomial using
term in a binomial expansion? Pascal’s Triangle and the
Binomial Theorem
A2.A.36, A2.S.11
Text: Chapter 7: Radical Functions and Rational Exponents Lesson 7-1: Roots and Radical Expressions
January
Math Alg 2 Trig HS
2010
Part 1: Roots and Radical Expressions
How do we simplify radical
expressions?
Simplifying nth roots.
A2.A.8, A2.A.13
Pacing
Lesson Aim
Lesson Objectives
Part 1: Multiplying Radical Expressions
How do we multiply radical
expressions?
Learning how to multiply
radical expressions.
Part 2: Dividing Radical Expressions
How do we divide radical
expressions?
Rationalizing the denominator.
How do we add and subtract
radical expressions?
Performing addition and
subtraction of radical
expressions.
Chapter / Lesson / Unit
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Lesson 7-2: Multiplying and Dividing Rational Expressions
A2.A.13, A2.A.14, A2.A.15
Lesson 7-3: Binomial Radical Expressions
Part 1: Adding and Subtracting Radical
Expressions
A2.N.5, A2.A.13, A2.A.14
Part 2: Multiplying and Dividing Binomial How do we multiply and divide Performing multiplication and
Radical Expressions
radical expressions?
division of radical expressions.
Lesson 7-4: Rational Exponents
Part 1: Simplifying Expressions With
Rational Exponents
How do we simplify
expressions with fractional
exponents?
Rewriting algebraic
expressions with fractional
exponents in simplest form.
A2.A.10, A2.A.11
How do we solve radical
equations and check for
extraneous roots?
Solving radical equations.
A2.A.11, A2.A.22
Lesson 7-5: Solving Square Root and Other Radical Equations
Part 1: Solving Radical Equations
Lesson 7-6: Function Operations
Part 1: Operations With Functions Part
2: Composition of Functions
Math Alg 2 Trig HS
2010
How do we perform operations Performing function addition,
on functions, including
subtraction, multiplication,
addition, subtraction,
division, and composition.
multiplication, division, and
composition?
A2.A.40, A2.A.41, A2.A.42
Pacing
Chapter / Lesson / Unit
Lesson Aim
Lesson Objectives
How do we determine the
inverse of a function?
Finding the inverse of a
relation or function.
A2.A.41, A2.A.44, A2.A.45
How can we use
transformations to graph
radical functions?
Graphing square root and
other radical functions.
A2.A.46
Lesson Aim
Lesson Objectives
NYSED Content Strand
Lesson 7-7: Inverse Relations and Functions
Part 1: The Inverse of a Function
Lesson 7-8: Graphing Square Root and Other Radical Functions
Part 1: Radical Functions
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Text: Chapter 8: Exponential and Logarithmic Functions Lesson 8–1: Exploring Exponential Models
February
Part 1: Exponential Growth
How do we model exponential
growth?
Graphing functions of the
form y = bx, where b > 1.
Part 2: Exponential Decay
How do we model exponential
decay?
Graphing functions of the
form y = bx, where 0 < b < 1.
Part 1: Comparing Graphs
What are the roles of the
constants in y = abcx?
Graphing the family of
exponential functions.
Part 2: The Number e
How do we use e as a base in
a logarithm?
Evaluating exponential
expressions with base e.
A2.A.6,A2.A.53
Lesson 8-2: Properties of Exponential Functions
Lesson 8-3: Logarithmic Functions as Inverses
Math Alg 2 Trig HS
2010
A2.A.12,A2.A.53
Part 1: Writing and Evaluating
Logarithmic Expressions
How do we evaluate
logarithmic expressions?
Evaluating logarithmic
expressions.
A2.A.18,A2.A.44, A2.A.54
Part 2: Graphing Logarithmic Functions
How do we graph logarithmic
functions?
Graphing logarithmic
functions using the inverse of
the related exponential
function.
What are the properties of
logarithms and how can we
use them?
Applying the properties of
logarithms to rewrite
logarithmic expressions.
Lesson Aim
Lesson Objectives
Part 1: Solving Exponential Equations
How do we solve exponential
equations?
Solving exponential
equations by taking the
logarithm of each side.
Part 2: Solving Logarithmic Equations
How do we solve logarithmic
equations?
Applying the Change of Base
Formula.
What is the graph of the
natural logarithmic functions,
and how do we solve
exponential equations?
Graphing natural logarithmic A2.A.27,A2.A.53
functions and solving
exponential equations.
Text: Lesson 8-4: Properties of Logarithms
Part 1: Using the Properties of
Logarithms
Pacing
Chapter / Lesson / Unit
A2.A.18,A2.A.19
NYSED Content Strand
Lesson 8-5: Exponential and Logarithmic Equations
A2.A.18,A2.A.19
Lesson 8-6: Natural Logarithms
Part 1: Natural Logarithms Part 2:
Natural Logarithmic and Exponential
Equations
Text: Chapter 9: Rational Functions Lesson 9–1: Inverse Variation
Math Alg 2 Trig HS
2010
Part 1: Using Inverse Variation Part 2:
Using Joint and Other Variations
(Optional)
How can we use inverse
variation?
Using inverse variation to
solve for unknown values.
A2.A.5
How do we simplify, multiply,
and divide rational
expressions?
Simplifying rational
expressions by factoring
polynomials.
A2.A.7,A2.A.17
Lesson Aim
Lesson Objectives
Part 1: Adding and Subtracting Rational
Expressions
How do we add and subtract
rational expressions?
Performing addition and
subtraction with rational
expressions.
Part 2: Simplifying Complex Fractions
How do we simplify complex
fractions?
Simplifying complex
fractional expressions.
Part 1: Solving Rational Equations
Activity Lab: Rational Inequalities pp.
528–529
How do we solve rational
equations and inequalities?
Solving rational equalities
and inequalities.
Part 2: Using Rational Equations
How can we use rational
equations to solve problems?
Applying rational equations.
Text: Lesson 9-2: The Reciprocal Function Family (Optional)
Lesson 9-3: Rational Functions and Their Graphs (Optional)
Text: Lesson 9-4: Rational Expressions
Part 1: Rational Expressions Part 2:
Multiplying and Dividing Rational
Expressions
Pacing
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Lesson 9-5: Adding and Subtracting Rational Expressions
A2.N.3,A2.A.17
Lesson 9-6: Solving Rational Equations
March
Math Alg 2 Trig HS
2010
A2.A.7,A2.A.17,A2.A.23
Text: Lesson 9-7: Probability of Multiple Events
Part 1: Finding P(A and B) Part 2:
Finding P(A or B)
How do we find the probability Calculating theoretical
of independent, dependent,
probabilities.
and mutually exclusive events?
Text: Chapter 10: Quadratic Relations and Conic Sections Text: Lesson 10-1: Exploring Conic Sections (Optional)
Text: Lesson 10-2: Parabolas (Optional)
Pacing
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Lesson Objectives
What is the standard form of
an equation of a circle?
Writing an equation of a
circle in standard form.
NYSED Content Strand
Lesson 10-3: Circles
Part 1: Writing the Equation of a Circle
Part 2: Using the Center and Radius of a How do we graph an equation
Circle
of a circle?
A2.A.47,A2.A.48, A2.A.49
Finding the center and radius
of a circle, and using them to
graph a circle.
Lesson 10-4: Ellipses (Optional)
Lesson 10-5: Hyperbolas (Optional)
Lesson 10-6: Translating Conic Sections (Optional)
Text: Chapter 11: Sequences and Series Text: Lesson 11-1: Mathematical Patterns
Part 1: Identifying Mathematical Patterns How do we use a formula to
Part 2: Using Formulas to Generate
find the nth term of a
Mathematical Patterns
sequence?
Specifying terms of a
sequence.
A2.A.29,A2.A.32, A2.A.33
Identifying an arithmetic
sequence and using the
arithmetic mean.
A2.A.29,A2.A.30, A2.A.32
Lesson 11-2: Arithmetic Sequences
Part 1: Identifying and Generating
Arithmetic Sequences
Math Alg 2 Trig HS
2010
How do we identify an
arithmetic sequence?
Lesson 11-3: Geometric Sequences
Part 1: Identifying and Generating
Geometric Sequences
Pacing
Chapter / Lesson / Unit
How do we identify a geometric Identifying a geometric
sequence?
sequence and using the
geometric mean.
Lesson Aim
Lesson Objectives
A2.A.31,A2.A.32
NYSED Content Strand
Lesson 11-4: Arithmetic Series
Part 1: Writing and Evaluating Arithmetic How do we determine the sum Finding the sum of a finite
Series
of the first n terms of an
arithmetic series.
arithmetic series?
Part 2: Using Summation Notation
How do we apply summation
notation?
Knowing and applying sigma
notation.
How do we evaluate finite and
infinite geometric series?
Using formulas to evaluate
finite geometric series and
convergent infinite geometric
series.
A2.N.10,A2.A.34, A2.A.35
Lesson 11-5: Geometric Series
Part 1: Evaluating a Finite Geometric
Series Part 2: Evaluating an Infinite
Geometric Series
Lesson 11-6: Area Under a Curve (Optional)
Text: Chapter 12: Probability and Statistics Text: Lesson 12-1: Probability Distributions
(Optional)
Lesson 12-2: Conditional Probability (Optional)
Lesson 12-3: Analyzing Data
Part 1: Measures of Central Tendency
Part 2: Box-and-Whisker Plots
Lesson 12-4: Standard Deviation
Math Alg 2 Trig HS
2010
How do we find mean, median, Calculating measures of
and mode? How do we use
central tendency and
box-and Whisker plots to
measures of dispersion.
compare sets of data?
A2.S.3,A2.S.4
Pacing
Part 1: Finding Standard Deviation
How do we find the standard
deviation of a set of values?
Calculating standard
deviation.
Part 2: Using Standard Deviation
How do we use standard
deviation to describe data?
Using standard deviation on
real-world situations.
Lesson Aim
Lesson Objectives
Part 1: Sample Proportions
What is a random sample?
Determining whether there is A2.S.2,A2.S.4
bias in a given sample.
Part 2: Sample Size and Margin of Error
How do we find the margin of
error?
Finding and using the margin
of error.
Chapter / Lesson / Unit
A2.S.4
NYSED Content Strand
Lesson 12-5: Working with Samples
April
Lesson 12-6: Binomial Distributions
Part 1: Finding Binomial Probabilities
What is the binomial probability Using the binomial
formula?
probability formula.
Part 2: Using a Binomial Distribution
How do we use binomial
distributions?
A2.S.13,A2.S.15
Using a binomial distribution.
Lesson 12-7: Normal Distributions
Part 1: Using a Normal Distribution
What are the characteristics of Using and sketching a
a normal distribution?
normal curve.
Part 2: Using the Standard Normal Curve How do we determine for a
Using the normal distribution
normal distribution the percent as an approximation for
of data within a given interval? binomial probabilities.
Math Alg 2 Trig HS
2010
A2.S.5,A2.S.16
Pacing
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Chapter 13: Periodic Functions and Trigonometry Lesson 13-1: Exploring Periodic Data
Part 1: Identifying Periodic Functions
What are the characteristics of Identifying periodic functions, A2.A.69
a periodic function?
their cycles, and periods.
Part 2: Finding the Amplitude of a
Periodic Function
How do we find the amplitude
of a periodic function given its
graph?
Determining the amplitude of
a periodic function.
Lesson 13-2: Angles and the Unit Circle
Part 1: Working With Angles in Standard How do we measure and
Position
sketch angles in the standard
position?
Sketching and using the
A2.A.57,A2.A.60
reference angle for angles in
standard position.
Part 2: Using the Unit Circle
How do we find coordinates of
points on the unit circle?
Sketching the unit circle and
representing angles in
standard position.
Part 1: Using Radian Measure
What are two methods to
convert between degrees and
radians?
Converting between radian
and degree measures of
angles.
Part 2: Finding the Length of an Arc
How do we find the length of
an arc?
Determining the length of an
arc of a circle.
Lesson 13-3: Radian Measure
Math Alg 2 Trig HS
2010
2.A.61,A2.M.1,A2.M.2
Pacing
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Lesson 13-4: The Sine Function
Part 1: Interpreting Sine Functions
What are the properties of sine Finding the period and
functions?
amplitude of sine curves.
A2.A.56,A2.A.69
Part 2: Graphing Sine Functions
How do you graph a sine
function given its rule?
Sketching the graph of a sine
function.
Part 1: Graphing and Writing Cosine
Functions
What are the properties of
cosine functions?
Finding the period and
amplitude of cosine curves.
Part 2: Solving Trigonometric Equations
How can we solve a cosine
equation?
Using a graphing calculator
to solve a cosine equation.
What are the properties of
tangent functions?
Sketching the graph of y =
tan θ.
A2.A.71
How do we use phase shift to
graph a horizontal translation
of a trigonometric function?
Determining phase shift.
A2.A.69,A2.A.70
Lesson 13-5: The Cosine Function
May
A2.A.56,A2.A.70
Lesson 13-6: The Tangent Function
Part 1: Graphing the Tangent Function
Lesson 13-7: Translating Sine and Cosine Functions
Part 1: Graphing Translations of
Trigonometric Functions
Part 2: Writing Equations of Translations How do we write an equation
to describe a translation?
Math Alg 2 Trig HS
2010
Using a graph to find the
values of a, b, h, and k in y =
a cos b(x–h) + k.
Pacing
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Lesson 13-8: Reciprocal Trigonometric Functions
Part 1: Evaluating Reciprocal
Trigonometric Functions
What are the cosecant, secant, Evaluating the cosecant,
and cotangent functions?
secant, and cotangent
functions.
Part 2: Graphing Reciprocal
Trigonometric Functions
How do we graph the
cosecant, secant, and
cotangent functions?
A2.A.58,A2.A.71
Graphing the cosecant,
secant, and cotangent
functions.
Chapter 14: Trigonometric Identities and Equations Lesson 14-1: Trigonometric Identities
Part 1:Verifying Trigonometric Identities
What are the Pythagorean
identities?
Justifying the Pythagorean
identities.
A2.A.58,A2.A.57
Part 1: Inverses of Trigonometric
Functions
How do we evaluate inverses
of trigonometric functions?
Restricting the domain of
trigonometric functions to
ensure the existence of an
inverse function.
A2.A.63,A2.A.68
Part 2: Solving Trigonometric Equations
How do we solve trigonometric Using inverse trig functions
equations?
to solve trigonometric
equations.
Lesson 14-2: Solving Trigonometric Equations Using Inverses
Lesson 14-3: Right Triangles and Trigonometric Ratios
Math Alg 2 Trig HS
2010
Part 1: Right Triangles and
Trigonometric Ratios
How are the sides of a right
triangle related to the six
trigonometric functions?
Expressing trigonometric
functions in terms of the
sides of a right triangle.
Part 2: Finding the Measures of Angles
in a Right Triangle
How do we use trigonometry to Using inverses of
find the measures of angles in trigonometric functions to
a right triangle?
find measures of the acute
angles in a right triangle.
A2.A.55,A2.A.56
Pacing
Chapter / Lesson / Unit
Lesson Aim
Lesson Objectives
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Lesson 14-4: Area and the Law of Sines
Part 1: Area and the Law of Sines
Given two angle measures and Applying the Law of Sines.
Extension p. 807: The Ambiguous Case one side length, how can we
find the remaining measures
and lengths?
A2.A.73,A2.A.74 A2.A.75
Lesson 14-5: Law of Cosines
Part 1: The Law of Cosines
How do we apply the Law of
Cosines to find missing
measures in any triangle?
Solving for an unknown side A2.A.66,A2.A.73
or angle using the Law of
Cosines.
Part 1: Angle Identities
How do we verify and use
angle identities?
Using identities to simplify
A2.A.56,A2.A.76
and manipulate trigonometric
expressions.
Part 2: Sum and Difference Identities
How do we verify and use sum Applying the angle sum and
and difference identities?
difference formulas.
Lesson 14-6: Angle Identities
Lesson 14-7: Double-Angle and Half-Angle Identities
Math Alg 2 Trig HS
2010
Part 1: Double-Angle Identities
How do we verify and use the
double-angle identities?
Applying the double-angle
formula.
Part 2: Half-Angle Identities
How do we verify and use the
half-angle identities?
Applying the half-angle
formula.
A2.A.56,A2.A.77