A Tradition of Excellence
Santa Rosa County School District
Mathematics
Algebra II
3
rd
Nine Weeks
MA.912.A.2.10
MA.912.A.4.5
MA.912.A.4.6
MA.912.A.4.7
MA.912.A.4.10
Standard 2: Relations and Functions
Draw and interpret graphs of relations. Understand the notation and concept of a function, find
domains and ranges, and link equations to functions.
**MA.912.A.2.10 Describe and graph transformations of functions.
Standard 4: Polynomials
Perform operations on polynomials. Find factors of polynomials, learning special techniques for
factoring quadratics. Understand the relationships among the solutions of polynomial equations, the
zeros of a polynomial function, the x-intercepts of a graph, and the factors of a polynomial.
**MA.912.A.4.5 Graph polynomial functions with and without technology and describe end behavior.
MA.912.A.4.6 Use theorems of polynomial behavior (including but not limited to the Fundamental Theorem of
Algebra, Remainder Theorem, the Rational Root Theorem, Descartes' Rule of Signs, and the Conjugate Root
Theorem) to find the zeros of a polynomial function.
**MA.912.A.4.7 Write a polynomial equation for a given set of real and/or complex roots.
MA.912.A.4.10 Use polynomial equations to solve real-world problems.
Standard 7: Quadratic Equations
Draw graphs of quadratic functions. Solve quadratic equations and solve these equations by factoring,
completing the square, and by using the quadratic formula. Use graphing calculators to find
approximate solutions of quadratic equations.
MA.912.A.7.3
MA.912.A.7.4
MA.912.A.7.5
MA.912.A.7.6
Solve quadratic equations over the real numbers by completing the square.
Use the discriminant to determine the nature of the roots of a quadratic equation.
Solve quadratic equations over the complex number system.
Identify the axis of symmetry, vertex, domain, range and intercept(s) for a given parabola.
Textbook Correlation: Chp. 5.5-5.9: 3rd 9 Weeks: 5.5-5.9; 10 days www.pearsonsuccessnet.com
Supplementary Resources:
Vocabulary: Theorems about roots of polynomial equations, the fundamental theorem of algebra, Pascal's
Triangle, The Binomial Theorem, Polynomial models in the real world, transforming polynomial functions
Video
Innovations in Theory: Rene Descartes and Blaise Pascal
Introduction: Falling Objects
Example 1: Sign Changes -- Baseball
Graphing Calculator Example 1: b = c = 0
Graphing Calculator Example 2: b = 0
Graphing Calculator Example 3: c = 0
The Quadratic Equation for Practical Problems
The Equation for Braking Distance
Using the Graphing Calculator to Find a Solution
Dinitrogen Tetroxide and Nitrogen Dioxide: A Quadratic Solution
1
Math
Overview
Math
Explanation
DE
Assessment
Defining Pascal's Triangle
Building Pascal's Triangle with Combinations and Binomial Distribution
Expanding Binomials
Solving Problems Using Pascal's Triangle and Combinations
Using the Binomial Theorem to Expand Binomials
Using the General Term of Binomial Expansion
Finding Binomial Terms with the General Term
Algebra II: Things to Note about the Graph of a Polynomial Function
Algebra II: A Closer Look at the Graphs of Polynomial Function
Trigonometry: Complex Zeros; Fundamental Theorem of Algebra
Trigonometry: The Real Zeros of a Polynomial Function
Algebra II: Multiplying and Rationalizing
Algebra II: Binomial Theorem
Precalculus: Quadratic Equations
Algebra II: Graphing Parabolas
Algebra II: Reviewing Graphing Quadratic Equations
Trigonometry: Quadratic Functions and Models
Algebra II: Looking for Rational Zeros: What Does the Fundamental Theorem of Algebra
Mean?
Trigonometry: Complex Zeros; Fundamental Theorem of Algebra: Finding Polynomial
Functions Given the Degree and Complex Zeros
Trigonometry: Complex Zeros; Fundamental Theorem of Algebra: Creating Polynomials
Given the Degree and Complex Zeros
Trigonometry: The Real Zeros of a Polynomial Function: Factoring Polynomials by Finding
Real Zeros, Using Descartes' Rule of Signs, and the Rational Zeros Theorem
Trigonometry: The Real Zeros of a Polynomial Function: Determining the Maximum
Number of Zeros and Applying Descartes' Rule of Signs
Algebra II: Multiplying and Rationalizing: Rationalizing Numerators Using Cube Roots
Trigonometry: Polynomial Functions: Creating Polynomials Given the Degree, Multiplicity,
and Zeros
Trigonometry: Systems of Linear Equations; Substitution and Elimination
Algebra II: A Closer Look at the Graphs of Polynomial Function: Use a Graphing
Calculator
Algebra II: A Closer Look at the Graphs of Polynomial Function: A Look at Polynomial
Function in Word Problems
Algebra II: A Closer Look at the Graphs of Polynomial Function: Let's Apply It!
Trigonometry: Graphs of Equations: Reviewing Key Concepts Associated With the
Quadratic Equations
Trigonometry: Complex Zeros; Fundamental Theorem of Algebra: Solving for Complex
Zeros Using the Quadratic Formula
Trigonometry: Complex Zeros; Fundamental Theorem of Algebra: Finding the Complex
Zeros for a Quadratic Function
Trigonometry: Complex Zeros; Fundamental Theorem of Algebra: Using a Given Zero to
Find the Remaining Zeros
Trigonometry: Quadratic Functions and Models: Understanding the Characteristics of a
Parabola
http://pas.discoveryeducation.com/pas/schools/pz_landing.php?tab=probeLibrary
2
3
rd
Nine Weeks
Standard 2: Relations and Functions
Draw and interpret graphs of relations. Understand the notation and concept of a function, find
domains and ranges, and link equations to functions.
**MA.912.A.2.6
**MA.912.A.2.7
MA.912.A.2.8
**MA.912.A.2.1
0
**MA.912.A.2.1
1
MA.912.A.6.2
MA.912.A.6.3
MA.912.A.6.4
MA.912.A.6.5
MA.912.A.8.3
**MA.912.A.2.6: Identify and graph common functions (including but not limited to linear, rational, quadratic,
cubic, radical, absolute value).
**MA.912.A.2.7 Perform operations (addition, subtraction, division, and multiplication) of functions
algebraically, numerically, and graphically.
MA.912.A.2.8 Determine the composition of functions.
**MA.912.A.2.10 Describe and graph transformations of functions
**MA.912.A.2.11 Solve problems involving functions and their inverses.
Standard 6: Radical Expressions and Equations
Simplify and perform operations on radical expressions and equations. Rationalize square root
expressions and understand and use the concepts of negative and rational exponents. Add, subtract,
multiply, divide, and simplify radical expressions and expressions with rational exponents. Solve
radical equations and equations with terms that have rational exponents.
MA.912.A.6.2 Add, subtract, multiply, and divide radical expressions (square roots and higher).
MA.912.A.6.3 Simplify expressions using properties of rational exponents.
MA.912.A.6.4 Convert between rational exponent and radical forms of expressions.
MA.912.A.6.5 Solve equations that contain radical expressions.
Standard 8: Logarithmic and Exponential Functions
Understand the concepts of logarithmic and exponential functions. Graph exponential functions, and
solve problems of growth and decay. Understand the inverse relationship between exponents and
logarithms, and use it to prove laws of logarithms and to solve equations. Convert logarithms between
bases, and simplify logarithmic expressions.
**MA.912.A.8.3 Graph exponential and logarithmic functions.
Textbook Correlation: Chp. 6 : 20 days www.pearsonsuccessnet.com
Supplementary Resources:
Vocabulary: Properties of exponents, roots and radical expressions, multiplying and dividing radical
expressions, binomial radical expressions, rational exponents, solving square root and other radical equations,
function operations, inverse relations and functions, graphing inverses, graphing radical functions
Video
Example 2: Composite Functions -- Barbeque
Example 3: Inverse Functions -- Construction
Section D: Inverse Functions
Reviewing the Guidelines of Simplifying Radicals
Simplifying Radicals with Coefficients
Multiplying Radicands That Contain Variables
Adding & Subtracting Expressions with Radicals
Dividing Expressions with Radicals
Dividing Expressions: Example Problems
Rationalizing the Denominator of Fractions with Radicals
Strategies for Simplifying Other Roots & Rational Exponents
Example 3: Exponential and Logarithmic Functions -- Tournaments
Examining Exponential Functions
3
Math
Overview
Math
Explanation
DE
Assessment
Exploring Exponential Functions Where 0 < b
A Mathematical Definition for Exponential Functions
The Sierpinski Triangle as an Example of an Exponential Function
The Equation for Cooling an Object
Using the Graphing Calculator to Explore Cooling Curves
Sound Intensity and Logarithmic Scales
Logarithmic Function Graphs
Introduction to Logarithms
Section A: Log Graphs
Section B: Logs and Exponents
Section C: Log Base 10 and Log Base e
Section D: Log Rules and Properties
Section E: Uses for Logs
Precalculus: Composite Functions
Trigonometry: Composite Functions
Algebra II: Inverse Functions
Trigonometry: Inverse Functions
Algebra II: Multiplying and Simplifying
Algebra II: Radical Expressions
Algebra II: Nth Roots: Radical Expressions, Rational Exponent
Algebra II: Changing Radical Expressions into Rational Exponents
Trigonometry: nth Roots and Rational Exponents
Algebra II: Working with Radicals
Algebra II: Logarithmic and Exponential Equations: Logarithmic Functions
Precalculus: Exponential Functions
Precalculus: Logarithmic Functions
Trigonometry: Functions: Finding the Sum or Difference of Two Functions and its
Resulting Domain
Precalculus: Composition of Functions: Operations Using Two Functions
http://pas.discoveryeducation.com/pas/schools/pz_landing.php?tab=probeLibrary
4
3
rd
Nine Weeks
MA.912.D.11.1
MA.912.D.11.3
Standard 11: Sequences and Series
Define and use arithmetic and geometric sequences and series.
MA.912.D.11.1 Define arithmetic and geometric sequences and series.
MA.912.D.11.3 Find specified terms of arithmetic and geometric sequences.
Textbook Correlation: Chp. 9: 8 days 10 days www.pearsonsuccessnet.com
Supplementary Resources:
Vocabulary: Mathematical patterns, arithmetic sequences, geometric sequences, arithmetic series, geometric
series
Video
Math
Overview
DE
Assessment
Defining the General Term of Geometric Sequences
Writing a Geometric Sequence from Terms Defined Algebraically
Finding the Sum of Terms in Arithmetic Series
Using Formulae and Patterns to Define Sequences
Using Alternative Methods to Solve Arithmetic Series
Using Sigma Notation with Sequences
Solving Problems Using Sequences
Using Alternative Methods to Solve Geometric Series
Precalculus: Arithmetic Sequences and Series
Precalculus: Geometric Sequences and Series
Precalculus: Infinite Sequences and Series
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