Course Code: 1200340

Course Pacing Guide Course Code: 1200340 Course Name: Algebra II Honors Unit Title: Expressions, Equations, and Inequalities Pacing: 6 Days

Unit Essential Question: What are the basics for solving problems? Semester: Semester 1

Grading Period: 1

Concept: 1-1/2 Patterns and Expressions/Properties of Real Numbers Pacing: 1 Day

Concept: 1-3 Algebraic Expressions Pacing: 1 Day

Concept: 1-4/5 Solving Equations/Inequalities Pacing: 2 Days

Standard(s): Standard(s): Standard(s): • MA.912.A.10.3: Decide whether a given

statement is always, sometimes, or never true (statements involving linear or quadratic expressions, equations, or inequalities, rational or radical expressions, or logarithmic or exponential functions).

Lesson Essential Question: What is so important about patterns?

Lesson Essential Question: What is the difference between equations and expressions?

Lesson Essential Question: What is the difference between solving equations and inequalities?

Vocabulary:

Vocabulary: Vocabulary: • Equation • Solution of an equation • Inverse operations • Identity • Literal equation • Compound Inequality

Resources: Textbook – Prentice Hall Algebra 2 Honors Gold Series Workbook – Prentice Hall Algebra 2 Honors Gold Series Practice and Problem Solving Student Companion – Prentice Hall Algebra 2 Honors Gold Series www.poweralgebra.com Videos Lessons - www.khanacademy.com Worksheets - www.kutasoftware.com Additional Information:

• Accommodations/Modifications should be followed per students’ IEP. • The days allotted are the maximum suggested to be able to complete the year’s worth of material. • There are 5 days additional available for review/assessments including the district assessments.

Course Pacing Guide Course Code: 1200340 Course Name: Algebra II Honors Unit Title: Expressions, Equations, and Inequalities Pacing: 6 Days

Unit Essential Question: What are the basics for solving problems?

Semester: Semester 1

Grading Period: 1

Concept: 1-6 Absolute Value Equations and Inequalities Pacing: 2 Days Standard(s):

• MA.912.A.3.6: Solve and graph the solutions of absolute value equations and inequalities with one variable.

Lesson Essential Question: Why can absolute value problems have multiple solutions? Vocabulary:

• Absolute value • Extraneous solution



Course Pacing Guide Course Code: 1200340 Course Name: Algebra II Honors Unit Title: Functions, Equations, and Graphs Pacing: 11 Days

Unit Essential Question: What is special about functions? Semester: Semester 1

Grading Period: 1

Concept: 2-1 Relations and Functions Pacing: 1

Concept: 2-2 Direct Variation Pacing: 1 Day

Concept: 2-3 Linear Functions and Slope-Intercept Form Pacing: 2 Days

Standard(s): MA.912.A.10.3-Decide whether a given

statement is always, sometimes, or never true (statements involving linear or quadratic expressions, equations, or inequalities rational or radical expressions or logarithmic or exponential functions)

Standard(s): • MA.912.A.2.12: Solve problems using

direct, inverse, and joint variations.

Standard(s): • MA.912.A.2.6: Identify and graph common

functions (including but not limited to linear, rational, quadratic, cubic, radical, absolute value).

Lesson Essential Question: How do we determine if a relation is a function?

Lesson Essential Question: What does the constant of variation tell us?

Lesson Essential Question: What determines how a linear function behaves?

Vocabulary: • Relation • Domain • Range • Function • Vertical-line test • Function rule • Function notation • Independent variable • Dependent variable

Vocabulary: • Direct Variation • Constant of Variation

Vocabulary: • Slope • Linear function • Linear equation • y-intercept • x-intercept • Slope-intercept form

Resources: Textbook – Prentice Hall Algebra 2 Honors Gold Series Workbook – Prentice Hall Algebra 2 Honors Gold Series Practice and Problem Solving Student Companion – Prentice Hall Algebra 2 Honors Gold Series www.poweralgebra.com Videos Lessons - www.khanacademy.com Worksheets - www.kutasoftware.com

Course Pacing Guide Additional Information:




Grading Period: 1

Concept: 2-4 More about Linear Equations Pacing: 1 Day

Concept: 2-6 Families of Functions Pacing: 2 Days

Concept: 2-7 Absolute Value Functions and Graphs Pacing: 2 Days

Standard(s): • MA.912.A.2.9: Recognize, interpret, and

graph functions defined piece-wise with and without technology.

Standard(s): • MA.912.A.2.10: Describe and graph

transformations of functions


functions (including but not limited to linear, rational, quadratic, cubic, radical, absolute value).

• MA.912.A.2.10: Describe and graph transformations of functions

Lesson Essential Question: What types of problems can piece-wise functions represent?

Lesson Essential Question: What can the knowledge of parent functions tell us about their children?

Lesson Essential Question: How do absolute value graphs behave?

Vocabulary: • Point-slope form • Standard form of a linear equation • Parallel lines • Perpendicular lines • Piece-wise function

Vocabulary: • Parent function • Transformation • Translation • Reflection • Vertical Stretch • Vertical compression

Vocabulary: • Absolute value function • Axis of symmetry • Vertex



Course Pacing Guide



Grading Period: 1

Concept: 2-8 Two-Variable Inequalities Pacing: 2 Days

Standard(s): • MA.912.A.2.5: Graph absolute value

equations and inequalities in two variables.

Lesson Essential Question: How do we determine the shading and type of line to use for inequalities?

Vocabulary: • Linear inequality • Boundary • Half-plane • Test point


Additional Information: • Accommodations/Modifications should be followed per students’ IEP. • The days allotted are the maximum suggested to be able to complete the year’s worth of material. • There are 5 days additional available for review/assessments including the district assessments.

Course Pacing Guide Course Code: 1200340 Course Name: Algebra II Honors Unit Title: Linear Systems Pacing: 12 Days

Unit Essential Question: How do linear functions represent the real world? Semester: Semester 1

Grading Period: 1

Concept: 3-1 Solving Systems Using Table and Graphs Pacing: 2 Days

Concept: 3-2 Solving Systems Algebraically Pacing: 2 Days

Concept: 3-3 Systems of Inequalities Pacing: 2 Days

Standard(s): • MA.912.A.3.14: Solve systems of linear equations and inequalities in two and three variables using graphical, substitution, and elimination methods. • • MA.912.A.3.15: Solve real-world problems involving systems of linear equations and inequalities in two and three variables. • • MA.912.A.10.3: Decide whether a given statement is always, sometimes, or never true

Lesson Essential Question: Why would you use a table or graph to represent a system?

Lesson Essential Question: How do we decide which way to solve systems?

Lesson Essential Question: What does the overlap of the shading, or lack thereof, tell us about a system?

Vocabulary: • System of equations • Linear system • Solution of a system • Inconsistent system • Consistent System • Independent system • Dependent system

Vocabulary: • Equivalent systems

Vocabulary:


Course Pacing Guide


Course Pacing Guide Course Code: 1200340 Course Name: Algebra II Honors Unit Title: Linear Systems Pacing: 12 Days

Unit Essential Question: How do linear functions represent the real world?


Grading Period: 1

Concept: 3-4 Linear Programming Pacing: 2 Days

Concept: 3-5 Systems with 3 Variables Pacing: 2 Days

Concept: 3-6 Solving Systems Using Matrices Pacing: 2 Days

Standard(s): • MA.912.A.3.14: Solve systems of linear equations and inequalities in two and three variables using graphical, substitution, and elimination methods.

• MA.912.A.3.15: Solve real-world problems involving systems of linear equations and inequalities in two and three variables.

• MA.912.A.10.3: Decide whether a given statement is always, sometimes, or never true

Lesson Essential Question: What does the feasible region tell us?

Lesson Essential Question: What does this help us understand? (our world, we live in a 3-D space)

Lesson Essential Question: How does the use of matrices help us solve systems?

Vocabulary: • Constraint • Linear programming • Feasible region • Objective function

Vocabulary: • Ordered triple

Vocabulary: • Matrix • Matrix element • Row operation



Course Pacing Guide Course Code: 1200340 Course Name: Algebra II Honors Unit Title: Quadratic Functions and Equations Pacing: 18 Days

Unit Essential Question: How do we use quadratic functions to represent the real world? Semester: Semester 1

Grading Period: 2

Concept: 4-1 Quadratic Function and Transformations Pacing: 1 Days

Concept: 4-2 Standard Form of a Quadratic Function Pacing: 1 Days

Concept: 4-3 Modeling with Quadratic Functions Pacing: 1 Days

Standard (s): • MA.912.A.2.6: Identify and graph common

functions • MA.912.A.2.10: Describe and graph

transformations of functions • MA.912.A.7.6: Identify the axis of

symmetry, vertex, domain, range and intercept(s) for a given parabola.


functions • MA.912.A.7.6: Identify the axis of

symmetry, vertex, domain, range and intercept(s) for a given parabola

Standard(s): • MA.912.A.7.6: Identify the axis of

symmetry, vertex, domain, range and intercept(s) for a given parabola

Lesson Essential Question: What tells us the transformations of a quadratic?

Lesson Essential Question: Why would we us the standard form versus the vertex form?

Lesson Essential Question: How do quadratics relate to the real world?

Vocabulary: • Parabola • Quadratic function • Vertex form • Axis of symmetry • Vertex of the parabola • Maximum/Minimum value

Vocabulary: • Standard form

Vocabulary:



Course Pacing Guide



Grading Period: 2

Concept: 4-4 Factoring Quadratic Functions Pacing: 5 Days

Concept: 4-5 Quadratic Equations Pacing: 2 Days

Concept: 4-6 Completing the Square Pacing: 2 Days

Standard(s): • MA.912.A.4.3: Factor polynomial

expressions.

Standard(s): • MA.912.A.4.7: Write a polynomial equation

for a given set of real and/or complex roots.

• MA.912.A.4.8: Describe the relationships among the solutions of an equation, the zeros of a function, the x-intercepts of a graph, and the factors of a polynomial expression with and without technology.

• MA.912.A.7.10: Use graphing technology to find approximate solutions of quadratic equations.

Standard(s): • MA.912.A.7.3: Solve quadratic equations

over the real numbers by completing the square.

• MA.912.A.7.5: Solve quadratic equations over the complex number system.

• MA.912.A.7.6: Identify the axis of symmetry, vertex, domain, range and intercept(s) for a given parabola.

Lesson Essential Question: What does factoring help us with?

Lesson Essential Question: What do the roots tell us?

Lesson Essential Question: Why is completing the square so special?

Vocabulary: • Factoring, • GCF of an expression • Perfect square trinomial • Difference of two squares

Vocabulary: • Zero of a function • Zero-Product Property

Vocabulary: • Completing the Square






Grading Period: 2

Concept: 4-7 The Quadratic Formula Pacing: 1 Day

Concept: 4-8 Complex Numbers Pacing: 3 Days

Concept: 4-9 Quadratic Systems Pacing: 2 Days

Standard(s): • MA.912.A.7.4: Use the discriminant to

determine the nature of the roots of a quadratic equation.

• MA.912.A.7.5: Solve quadratic equations over the complex number system.

• MA.912.A.7.10: Use graphing technology to find approximate solutions of quadratic equations.

Standard(s): • MA.912.A.7.5: Solve quadratic equations

over the complex number system. • MA.912.A.1.6: Identify the real and

imaginary parts of complex numbers and perform basic operations.

Standard(s): • MA.912.A.7.7: Solve non-linear systems of

equations with and without using technology.

• MA.912.A.10.3: Decide whether a given statement is always, sometimes, or never true

Lesson Essential Question: When can the quadratic formula help the most?

Lesson Essential Question: When do complex numbers come about?

Lesson Essential Question: What do the solutions to quadratic systems tell us?

Vocabulary: • Quadratic Formula • Discriminant

Vocabulary: • Imaginary number • Complex number • Complex number plane • Absolute value of a complex number • Complex conjugates

Vocabulary:



Course Pacing Guide

Course Pacing Guide Course Code: 1200340 Course Name: Algebra II Honors Unit Title: Polynomials and Polynomial Functions Pacing: 16 Days

Unit Essential Question: Semester: Semester 1

Grading Period: 2

Concept: 5-1 Polynomial Functions Pacing: 2 Days

Concept: 5-2 Polynomials, Linear Factors, and Zeros Pacing: 2 Days

Concept: 5-3 Solving Polynomial Equations Pacing: 2 Days

Standard(s): MA.912.A.2.6: Identify and graph common functions MA.912.A.4.5: Graph polynomial functions with and without technology and describe end behavior.

Standard(s): MA.912.A.4.3: Factor polynomial expressions. MA.912.A.4.5: Graph polynomial functions with and without technology and describe end behavior. MA.912.A.4.7: Write a polynomial equation for a given set of real and/or complex roots. MA.912.A.4.8: Describe the relationships among the solutions of an equation, the zeros of a function, the x-intercepts of a graph, and the factors of a polynomial expression with and without technology.

Standard(s): MA.912.A.4.3: Factor polynomial expressions. MA.912.A.4.5: Graph polynomial functions with and without technology and describe end behavior. MA.912.A.4.9: Use graphing technology to find approximate solutions for polynomial equations. MA.912.A.4.10: Use polynomial equations to solve real-world problems.

Lesson Essential Question: How do we figure out the end behaviors of polynomial graphs by the function?

Lesson Essential Question: What do the zeros of a polynomial function tell us?

Lesson Essential Question: How can you solve polynomial functions?

Vocabulary: Monomial, Degree of a polynomial, Polynomial Function, Standard form of a polynomial function, Turning point, End behavior

Vocabulary: Factor theorem, Multiple zero, Multiplicity, Relative maximum and minimum

Vocabulary: Sum/Difference of Cubes



Course Pacing Guide



Grading Period: 2

Concept: 5-4 Dividing Polynomials Pacing: 2 Days

Concept: 5-5 Theorems about Roots of Polynomial Equations Pacing: 2 Days

Concept: 5-6 The Fundamental Theorem of Algebra Pacing: 2 Days

Standard(s): MA.912.A.4.3: Factor polynomial expressions. MA.912.A.4.4: Divide polynomials by monomials and polynomials with various techniques, including synthetic division. MA.912.A.4.6: Use theorems of polynomial behavior to find the zeros of a polynomial function.

Standard(s): MA.912.A.4.6: Use theorems of polynomial behavior 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.

Standard(s): MA.912.A.4.6: Use theorems of polynomial behavior to find the zeros of a polynomial function. MA.912.A.10.3: Decide whether a given statement is always, sometimes, or never true

Lesson Essential Question: When can you use synthetic division?

Lesson Essential Question: How do we narrow down the number of possible root for a polynomial function?

Lesson Essential Question: How do we find the solutions to polynomial functions?

Vocabulary: Synthetic division, Remainder theorem

Vocabulary: Rational Root Theorem, Conjugate Root Theorem, Descartes’ rule of Signs

Vocabulary: The Fundamental Theorem of Algebra





Grading Period: 2

Concept: 5-7 The Binomial Theorem Pacing: 2 Days

Concept: 5-9 Transforming Polynomial Functions Pacing: 2 Days

Standard(s): MA.912.A.4.12: Apply the Binomial Theorem.

Standard(s): MA.912.A.2.10: Describe and graph transformations of functions MA.912.A.4.7: Write a polynomial equation for a given set of real and/or complex roots.

Lesson Essential Question: How do you use the binomial theorem?

Lesson Essential Question: How can we determine the transformations of polynomial functions?

Vocabulary: Expand, Pascal’s Triangle, Binomial Theorem

Vocabulary: Power Function, Constant of Proportionality



Course Pacing Guide Course Code: 1200340 Course Name: Algebra II Honors Unit Title: Radical Functions and Rational Exponents Pacing: 16 Days

Unit Essential Question: How do you utilize radical functions?


Grading Period: 3

Concept: 6-1 Roots and Radical Expressions Pacing: 2 Days

Concept: 6-2 Multiplying and Dividing Radical Expressions Pacing: 2 Days

Concept: 6-3 Binomial Radical Expressions Pacing: 2 Days

Standard(s): MA.912.A.10.3: Decide whether a given statement is always, sometimes, or never true

Standard(s): MA.912.A.6.2: Add, subtract, multiply, and divide radical expressions MA.912.A.10.3: Decide whether a given statement is always, sometimes, or never true

Standard(s): MA.912.A.6.2: Add, subtract, multiply, and divide radical expressions

Lesson Essential Question: What does the nth root mean?

Lesson Essential Question: How do you multiply or divide radicals?

Lesson Essential Question: How do you combine radical expressions?

Vocabulary: Nth root, principal root, radicand, index

Vocabulary: Simplest form of a radical, Rationalize the denominator

Vocabulary: Like radicals






Grading Period: 3

Concept: 6-4 Rational Exponents Pacing: 2 Days

Concept: 6-5 Solving Square Root and other Radical Equations Pacing: 2 Days

Concept: 6-6 Function Operations Pacing: 2 Days

Standard(s): 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.

Standard(s): 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. MA.912.A.10.3: Decide whether a given statement is always, sometimes, or never true

Standard(s): MA.912.A.2.7: Perform operations of functions algebraically, numerically, and graphically. MA.912.A.2.8: Determine the composition of functions.

Lesson Essential Question: How can you use exponents to simplify radical expressions?

Lesson Essential Question: How do you solve radical equations?

Lesson Essential Question: How do you perform operations on functions?

Vocabulary: Rational Exponent

Vocabulary: Radical equation, Square root equation

Vocabulary: Composite Function


Course Pacing Guide





Grading Period: 3

Concept: 6-7 Inverse Relations and Functions Pacing: 2 Days

Concept: 6-8 Graphing Radical Functions Pacing: 2 Days

Standard(s): MA.912.A.2.11: Solve problems involving functions and their inverses.

Standard(s): MA.912.A.2.6: Identify and graph common functions MA.912.A.2.10: Describe and graph transformations of functions

Lesson Essential Question: What information can be used from the inverse of a function?

Lesson Essential Question: How do you graph a radical function?

Vocabulary: Inverse relation, Inverse function, One-to-one function

Vocabulary: Radical Function, Square Root Function



Course Pacing Guide Course Code: 1200340 Course Name: Algebra II Honors Unit Title: Exponential and Logarithmic Functions Pacing: 12 Days

Unit Essential Question: What is the relationship between exponential and logarithmic functions? Semester: Semester 2

Grading Period: 3

Concept: 7-1 Exploring Exponential Models Pacing: 2 Days

Concept: 7-2 Properties of Exponential Functions Pacing: 2 Days

Concept: 7-3 Logarithmic Functions as Inverses Pacing: 2 Days

Standard(s): MA.912.A.8.1: Define exponential and logarithmic functions and determine their relationship MA.912.A.8.3: Graph exponential and logarithmic functions. MA.912.A.8.7: Solve applications of exponential growth and decay.

Standard(s): MA.912.A.2.6: Identify and graph common functions MA.912.A.2.10: Describe and graph transformations of functions MA.912.A.8.1: Define exponential and logarithmic functions and determine their relationship MA.912.A.8.3: Graph exponential and logarithmic functions. MA.912.A.8.7: Solve applications of exponential growth and decay.

Standard(s): MA.912.A.2.6: Identify and graph common functions MA.912.A.2.10: Describe and graph transformations of functions MA.912.A.2.11: Solve problems involving functions and their inverses. MA.912.A.8.1: Define exponential and logarithmic functions and determine their relationship MA.912.A.8.3: Graph exponential and logarithmic functions

Lesson Essential Question: How can you model exponential growth or decay?

Lesson Essential Question: How do you graph exponential functions?

Lesson Essential Question: How do you evaluate logarithmic expressions?

Vocabulary: Exponential function, Exponential growth, Exponential decay, Asymptote, Growth factor, Decay factor

Vocabulary: Natural base exponential function, Continuously compounded interest

Vocabulary: Logarithm, Logarithmic function, Common logarithm, Logarithmic scale




Course Pacing Guide Course Code: 1200340 Course Name: Algebra II Honors Unit Title: Exponential and Logarithmic Functions Pacing: 12 Days

Unit Essential Question: What is the relationship between exponential and logarithmic functions? Semester: Semester 2

Grading Period: 3

Concept: 7-4 Properties of Logarithms Pacing: 2 Days

Concept: 7-5 Exponential and Logarithmic Equations Pacing: 2 Days

Concept: 7-6 Natural Logarithms Pacing: 2 Days

Standard(s): MA.912.A.8.2: Define and use the properties of logarithms to simplify logarithmic expressions and to find their approximate values. MA.912.A.8.6: Use the change of base formula.

Standard(s): MA.912.A.8.5: Solve logarithmic and exponential equations.

Standard(s): MA.912.A.8.5: Solve logarithmic and exponential equations. MA.912.A.8.1: Define exponential and logarithmic functions and determine their relationship MA.912.A.10.3: Decide whether a given statement is always, sometimes, or never true

Lesson Essential Question: How do the properties of logarithms help us?

Lesson Essential Question: How do you solve exponential and logarithmic functions?

Lesson Essential Question: How do you solve natural logarithms?

Vocabulary: Change of base formula

Vocabulary: Exponential equation, Logarithmic equation

Vocabulary: Natural logarithmic function



Course Pacing Guide Course Code: 1200340 Course Name: Algebra II Honors Unit Title: Rational Functions Pacing: 12 Days

Unit Essential Question: Are a rational expression and its simplified form equivalent? Semester: Semester 2

Grading Period: 3

Concept: 8-1 Inverse Variation Pacing: 2 Days

Concept: 8-2 The Reciprocal Function Family Pacing: 2 Days

Concept: 8-3 Rational Functions and Their Graphs Pacing: 2 Days

Standard(s): MA.912.A.2.12: Solve problems using direct, inverse, and joint variations.

Standard(s): MA.912.A.2.12: Solve problems using direct, inverse, and joint variations. MA.912.A.2.10: Describe and graph transformations of functions MA.912.A.5.6: Identify removable and non-removable discontinuities, and vertical, horizontal, and oblique asymptotes of a graph of a rational function, find the zeros, and graph the function.

Standard(s): MA.912.A.5.6: Identify removable and non-removable discontinuities, and vertical, horizontal, and oblique asymptotes of a graph of a rational function, find the zeros, and graph the function.

Lesson Essential Question: How do inverse variations relate?

Lesson Essential Question: How do you graph a reciprocal function?

Lesson Essential Question: How do you graph a rational function?

Vocabulary: Inverse variation, Combined variation, Joint variation

Vocabulary: Reciprocal function, Branch

Vocabulary: Rational function, Continuous, Discontinuous,

Point of discontinuity, Removable discontinuity, Non-removable discontinuity



Course Pacing Guide Course Code: 1200340 Course Name: Algebra II Honors Unit Title: Rational Functions Pacing: 12 Days

Unit Essential Question: Are a rational expression and its simplified form equivalent? Semester: Semester 2

Grading Period: 3

Concept: 8-4 Rational Expressions Pacing: 2 Days

Concept: 8-5 Adding and subtracting Rational Expressions Pacing: 2 Days

Concept: 8-6 Solving Rational Equations Pacing: 2 Days

Standard(s): MA.912.A.10.3: Decide whether a given statement is always, sometimes, or never true

Standard(s): Standard(s):

Lesson Essential Question: How do you know if a rational expression is simplified?

Lesson Essential Question: How do you combine rational expressions?

Lesson Essential Question: How do you solve rational equations?

Vocabulary: Rational expression, Simplest form

Vocabulary: Complex Fraction

Vocabulary: Rational equation



Course Pacing Guide Course Code: 1200340 Course Name: Algebra II Honors Unit Title: Sequences and Series Pacing: 10 Days

Unit Essential Question: What can you do with sequences and series? Semester: Semester 2

Grading Period: 4

Concept: 9-1 Mathematical Patterns Pacing: 2 Days

Concept: 9-2 Arithmetic Sequences Pacing: 2 Days

Concept: 9-3 Geometric Sequences Pacing: 2 Days

Standard(s):

Standard(s): 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.

Standard(s): 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.

Lesson Essential Question: What can patterns tell me?

Lesson Essential Question: What makes a sequence arithmetic?

Lesson Essential Question: What makes a sequence geometric?

Vocabulary: Sequence, Term of a sequence, Explicit formula, Recursive formula

Vocabulary: Arithmetic sequence, Common difference, Arithmetic mean

Vocabulary: Geometric Sequence, Common ratio, Geometric mean



Course Pacing Guide Course Code: 1200340 Course Name: Algebra II Honors Unit Title: Sequences and Series Pacing: 10 Days

Unit Essential Question: What can you do with sequences and series? Semester: Semester 2

Grading Period: 4

Concept: 9-4 Arithmetic Series Pacing: 2 Days

Concept: 9-5 Geometric Series Pacing: 2 Days

Standard(s): MA.912.D.11.1: Define arithmetic and geometric sequences and series. MA.912.D.11.2: Use sigma notation to describe series. MA.912.D.11.4: Find partial sums of arithmetic and geometric series, and find sums of infinite convergent geometric series. Use Sigma notation where applicable.

Standard(s): MA.912.D.11.2: Use sigma notation to describe series. MA.912.D.11.4: Find partial sums of arithmetic and geometric series, and find sums of infinite convergent geometric series. Use Sigma notation where applicable.

Lesson Essential Question: How do you find the nth term in a series?

Lesson Essential Question: How do you find the sum of a series?

Vocabulary: Series, Finite Series, Infinite Series, Arithmetic Series, Limits

Vocabulary: Geometric Series, Converge, Diverge



Course Pacing Guide Course Code: 1200340 Course Name: Algebra II Honors Unit Title: Conic Sections Pacing: 12 Days

Unit Essential Question: What can we do with conic sections? Semester: Semester 2

Grading Period: 4

Concept: 10-1 Exploring Conic Sections Pacing: 2 Days

Concept: 10-2 Parabolas Pacing: 2 Days

Concept: 10-3 Circles Pacing: 2 Days

Standard(s): MA.912.A.9.1: Write the equations of conic sections in standard form and general form, in order to identify the conic section and to find its geometric properties (foci, asymptotes, eccentricity, etc.). MA.912.A.9.2: Graph conic sections with and without using graphing technology.

Lesson Essential Question: How do we create conic sections?

Lesson Essential Question: How do you find the fixed line and point that creates a parabola?

Lesson Essential Question: How do you derive the formula for a circle?

Vocabulary: Conic Section

Vocabulary: Focus of a parabola, Directrix, Focal Length

Vocabulary: Circle, center of a circle, Radius, Standard form of the equation of a circle



Course Pacing Guide Course Code: 1200340 Course Name: Algebra II Honors Unit Title: Conic Sections Pacing: 12 Days

Unit Essential Question: What can we do with conic sections? Semester: Semester 2

Grading Period: 4

Concept: 10-4 Ellipses Pacing: 2 Days

Concept: 10-5 Hyperbolas Pacing: 2 Days

Concept: 10-6 Translating Conic Sections Pacing: 2 Days

Standard(s): MA.912.A.9.1: Write the equations of conic sections in standard form and general form, in order to identify the conic section and to find its geometric properties (foci, asymptotes, eccentricity, etc.). MA.912.A.9.2: Graph conic sections with and without using graphing technology.

Lesson Essential Question: How do you create an ellipse?

Lesson Essential Question: How are hyperbolas created?

Lesson Essential Question: How do you tell if a conic section has been translated from its function?

Vocabulary: Ellipse, Focus of an ellipse, Major axis, Center of an ellipse, Minor axis, Vertices of an ellipse, Co-vertices of an ellipse

Vocabulary: Hyperbola, Focus of the hyperbola, Vertex of a hyperbola, Transverse axis, Axis of symmetry, Center of a hyperbola, Conjugate axis

Vocabulary:



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Course Code: 1200340