Advanced Algebra with Financial Applications

Transcription

1 Advanced Algebra with Financial Applications Pre-Requisites: Algebra II recommended Credits: 0.5 (per semester) Estimated Completion Time: 2 semesters/ weeks Note: This course meets one required Math credit for high school graduation. Description This course walks students through the information needed to make the best decisions with money. Advanced Algebra with Financial Applications is an advanced course incorporating real-world applications, collaboration, and calculations using technology. Students learn the formulas used to determine account balances, monthly payments, total costs, and more. They examine budgeting, spending, saving, investment, and retirement. Students explore mortgages and other debt structures and how to make good decisions about borrowing money. This knowledge will propel students into the future with a good foundation on how to handle finances. Course description: Major Topics and Concepts Semester 1 Debt APR Finance Charges Cash or Credit Credit Scores and Reports Cash Management Budgeting Pay It Off Savings Linear Growth Exponential Growth Compound Interest Growth and Decay Spending Data Representations Linear Representations Income Tax Deferment Purchasing Costs Semester 2 Investments Pre-Writing Future Value Present Value Purchasing Stocks Stocks and Bonds Portfolios Mortgage Fixed Rate Adjustable Rate Balloon

2 Comparing Options Points Additional Fees Total Cost Retirement Financial Goals Plans Insurance Net Worth Required Materials Course Objectives Grading Policy Besides engaging students in challenging curriculum, the course guides students to reflect on their learning and evaluate their progress through a variety of assessments. Assessments can be in the form of practice lessons, multiple choice questions, writing assignments, projects, research papers, oral assessments, and discussions. The course will use the state-approved grading scale and each course contains a unique end of course assessment. This assessment counts for 20% of the student s overall grade and must be passed with a score of 60% or higher. Communication Policy To achieve success, students are expected to submit work in each course weekly. Students can learn at their own pace; however, any pace still means that students must make progress in the course every week. To measure learning, students complete self-checks, practice lessons, multiple choice questions, projects, discussion-based assessments, and discussions. Students are expected to maintain regular contact with teachers; the minimum requirement is weekly. When teachers, students, and parents work together, students are successful.

3 Pre-Calculus Pre-Requisites: Algebra I, Geometry, & Algebra II Credits: 0.5 (per semester) Estimated Completion Time: 2 semesters / weeks Note: This course meets one required Math credit for high school graduation. Description Students, as mathematic analysts, investigate how advanced mathematics concepts are used to solve problems encountered in operating national parks. As students venture from algebra to trigonometry, they analyze and articulate the real-world application of these concepts. The purpose of this course is to study functions and develop skills necessary for the study of calculus. This course includes algebra, analytical geometry, and trigonometry. *Pre-Calculus is an honors-only course. Honors course description: Major Topics and Concepts Semester 1 Functions and Their Graphs Introduction to Function Graphs of Function Shifting, Reflecting and Stretching Graphs Combinations of Functions Inverse Functions Polynomial and Rational Functions Quadratic Functions Polynomial Functions of Higher Degree Real Zeros of Polynomial Functions Complex Numbers The Fundamental Theorem of Algebra Writing about Polynomials Rational Functions and Asymptotes Graphs of Rational Functions Exponential and Logarithmic Functions Exponential Functions and Their Graphs Logarithmic Functions and Their Graphs Properties of Logarithms Solving Exponential and Logarithmic Equations and their Models Trigonometric Functions Radian and Degree Measure Trigonometric Functions: The Unit Circle, Any Angle Right Triangle Trigonometry Trigonometric Function of Any Angle Graphs and Analysis of Sine and Cosine Functions Graphs of Other Trigonometric Functions Inverse Trigonometric Functions Applications and Models Analytic Trigonometry

4 Using Fundamental Identities Verifying Trigonometric Identities Solving Trigonometric Equations: Linear, Factored or Quadratic Sum and Difference Formulas Multiple Angle Formulas Semester 2 Additional Topics in Trigonometry Laws of Sines and Cosines and Applications Vectors in the Plane and 3 Dimensions Vectors and Dot Products Cross Product of To Vectors Complex Numbers in Trigonometric Form and DeMoivre s Theorem for Roots Sequences, Series, and Poof by Induction Sequences and Summation Notation Arithmetic and Geometric Sequences Mathematical Induction Topics in Analytic Geometry Conic Sections: Parabolas, Ellipses, Hyperbolas Conics Collage Parametric Equations Polar Coordinates and their Graphs Limits and Introduction to Calculus Introduction to Limits Evaluating Limits and One-Sided Limits Continuity at a Point Required Materials Course Objectives Grading Policy Besides engaging students in challenging curriculum, the course guides students to reflect on their learning and evaluate their progress through a variety of assessments. Assessments can be in the form of practice lessons, multiple choice questions, writing assignments, projects, research papers, oral assessments, and discussions. The course will use the Florida state-approved grading scale and each course contains a unique end of course assessment. This assessment counts for 20% of the student s overall grade and must be passed with a score of 60% or higher. Calculus is an honorslevel course; student s completing this course will receive honors credit. Communication Policy To achieve success, students are expected to submit work in each course weekly. Students can learn at their own pace; however, any pace still means that students must make progress in the course every week. To measure learning, students complete self-checks, practice lessons, multiple choice questions, projects, discussion-based assessments, and discussions. Students are expected to maintain regular contact with teachers; the minimum requirement is weekly. When teachers, students, and parents work together, students are successful.

5 Math for College Readiness Pre-Requisites: Algebra II Credits: 0.5 (per semester) Estimated Completion Time: 2 semesters/32-36 Weeks Note: This course meets one required Math credit for high school graduation. Description Are you ready for college success? This course is intended for grade 11 or 12 students, who are at or below the established cut scores for mathematics, indicating that they are not yet college ready in mathematics or simply need some additional instruction in content to prepare them for success in college level mathematics. This course incorporates the Common Core Standards for Mathematical Practices as well as the following Common Core Standards for Mathematical Content: Expressions and Equations, the Number System, Functions, Algebra, Geometry, Number and Quantity, Statistics and Probability, and the Common Core Standards for High School Modeling. The standards align with the Mathematics Postsecondary Readiness Competencies deemed necessary for entry-level college courses. Regular course description: Major Topics and Concepts Expressions and Equations Arithmetic with Polynomials and Rational Expressions Creating Equations Reasoning with Equations Seeing Structure in Expressions Building and Interpreting Functions Expressing Geometric Properties with Equations Numbers and Quantities The Real Number System Interpreting Categorical and Quantitative Data Required Materials Course Objectives Grading Policy Besides engaging students in challenging curriculum, the course guides students to reflect on their learning and evaluate their progress through a variety of assessments. Assessments can be in the form of practice lessons, multiple choice questions, writing assignments, projects, research papers, oral assessments, and discussions. The course will use the Florida state-approved grading scale and each course contains a unique end of course assessment. This assessment counts for 20% of the student s overall grade and must be passed with a score of 60% or higher. Communication Policy To achieve success, students are expected to submit work in each course weekly. Students can learn at their own pace; however, any pace still means that students must make progress in the course every week. To measure learning, students complete self-checks, practice lessons, multiple choice questions, projects, discussion-based assessments, and discussions. Students are expected to maintain regular contact with teachers; the minimum requirement is weekly. When teachers, students, and parents work together, students are successful.

6 Geometry / Geometry Honors Pre-Requisites: Algebra I or its equivalent. Credits: 0.5 (per semester) Estimated Completion Time: 2 semesters / weeks Note: This course meets one required Math credit for high school graduation. Description One day in 2580 B.C.E., a very serious architect stood in a dusty desert with a set of plans. His plans called for creating a structure 480 feet tall, with a square base and triangular sides, using stone blocks weighing two tons each. The Pharaoh wanted the job done right. The better this architect understood geometry, the better his chances were for staying alive. Geometry is everywhere, not just in pyramids. Engineers use geometry to build highways and bridges. Artists use geometry to create perspective in their paintings, and mapmakers help travelers find things using the points located on a geometric grid. Throughout this course, students travel a mathematical highway illuminated by spatial relationships, reasoning, connections, and problem solving. Regular course description: Honors course description: Major Topics and Concepts Semester 1 Module 1 Points, lines, and planes Constructions of segments, angles, lines, inscribed triangles, squares, and hexagons Introduction to Proofs Module 2 Translations Reflections Rotations Rigid Motions and Congruence Module 3 Line and Angle Proofs Triangle Proofs Parallelogram Proofs Indirect Proofs Module 4 Dilations Similar Polygons Similar Triangles Module 5

7 Triangle Congruence and Similarity Application of Congruence and Similarity Honors Extension Activity Semester 2 Module 6 Using the Coordinates Slope Coordinate Applications Module 7 Solving Right Triangles Trigonometric Ratios Applying Trigonometric Ratios Module 8 Formulas Applications of Volume Density 3-D Polyhedra Module 9 Properties of Circles Inscribed and Circumscribed Circles Applications of Circles Required Materials Course Objectives Grading Policy Besides engaging students in challenging curriculum, the course guides students to reflect on their learning and evaluate their progress through a variety of assessments. Assessments can be in the form of practice lessons, multiple choice questions, writing assignments, projects, research papers, oral assessments, and discussions. The course will use the state-approved grading scale and each course contains a unique end of course assessment. This assessment counts for 20% of the student s overall grade and must be passed with a score of 60% or higher. Communication Policy To achieve success, students are expected to submit work in each course weekly. Students can learn at their own pace; however, any pace still means that students must make progress in the course every week. To measure learning, students complete self-checks, practice lessons, multiple choice questions, projects, discussion-based assessments, and discussions. Students are expected to maintain regular contact with teachers; the minimum requirement is weekly. When teachers, students, and parents work together, students are successful.

8 Calculus Pre-Requisites: Algebra I, Geometry, Algebra II, & Pre-Calculus or Trigonometry/Analytical Geometry Credits: 0.5 (per semester) Estimated Completion Time: 2 Semesters / weeks Note: This course meets one required Math credit for high school graduation. Description Students in this course will walk in the footsteps of Newton and Leibnitz. An interactive text and graphing software combine with the exciting on-line course delivery to make calculus an adventure. The course includes a study of limits, continuity, differentiation, and integration of algebraic, trigonometric, and transcendental functions, and the applications of derivatives and integrals. *Calculus is an honors only course. Honors course description: Major Topics and Concepts Semester 1 Preparation for Calculus Real Numbers Cartesian Plane 10 Trigonometry Review Graphs and Models Linear Models and Rates of Change Functions Limits and Continuity A Preview of Calculus Finding Limits Graphically and Numerically Evaluating Limits Analytically Continuity and One-Sided Limits Infinite Limits Differentiation The Derivative and Tangent Line Problem Basic Differentiation Rules and Rates of Change The Product and Quotient Rules and Higher Order Derivatives The Chain Rule Implicit Differentiation Logarithmic Differentiation Related Rates Applications of Differentiation Extrema on an Interval Rolle's Theorem and the Mean Value Theorem Increasing and Decreasing Functions and the First Derivative Test Concavity and the Second Derivative Test Limits at Infinity Summary of Curve Sketching Optimization Problems Differentials

9 Integration Antiderivatives and Indefinite Integration Area Semester 2 Integration Riemann Sums and Definite Integrals The Fundamental Theorem of Calculus Integration by Substitution Numerical Integration Transcendental Functions The Natural Logarithmic Function and Differentiation The Natural Logarithmic Function and Integration Inverse Functions Exponential Functions: Differentiation and Integration Bases other than e and Applications Inverse Trigonometric Functions and Differentiation Inverse Trigonometric Functions and Integration Differential Equations Differential Equations: Slope Fields Differential Equations: Growth and Decay Differential Equations: Separation of Variables Applications of Integration Area of a Region Between Two Curves Volume: Disk Method Integration Techniques Basic Integration Rules Indeterminate Forms and L'Hopital's Rule Required Materials Course Objectives Grading Policy Besides engaging students in challenging curriculum, the course guides students to reflect on their learning and evaluate their progress through a variety of assessments. Assessments can be in the form of practice lessons, multiple choice questions, writing assignments, projects, research papers, oral assessments, and discussions. The course will use the Florida state-approved grading scale and each course contains a unique end of course assessment. This assessment counts for 20% of the student s overall grade and must be passed with a score of 60% or higher. Calculus is an honorslevel course; student s completing this course will receive honors credit. Communication Policy To achieve success, students are expected to submit work in each course weekly. Students can learn at their own pace; however, any pace still means that students must make progress in the course every week. To measure learning, students complete self-checks, practice lessons, multiple choice questions, projects, discussion-based assessments, and discussions. Students are expected to maintain regular contact with teachers; the minimum requirement is weekly. When teachers, students, and parents work together, students are successful.

10 Adv Pl Statistics Pre-Requisites: Algebra II Credits: 0.5 (per semester) Estimated Completion Time: 2 semester course/ Note: This course meets one required Math credit for high school graduation. Description This course is designed to provide college-level instruction on the concepts and tools for working with data. Students collect and analyze data and draw conclusions based on real-world information. The course challenges students to explore patterns, think critically, use a variety of tools and methods, and report their findings and conclusions. Course description: Access the site link below to view the PDF of the course description from the College Board: Major Topics and Concepts Semester 1 Univariate Data Introduction to Univariate Data Pie Charts Graphical Displays of Categorical Data Bar Charts Stem Plots Graphical Displays of Categorical Data Measuring the Center Measuring the Spread The Number Summary and Boxplots Density Curves The Normal Distribution Standardized Scores Normal Distribution Calculations Normality Bivariate and Categorical Data Introduction to Bivariate Data Creating Scatterplots Interpreting Scatterplots Correlation The Least Square Regression Line Residual and Residual Plots Correlation and Regression Details Non-linear Data Exponential Models Power Models Bivariate Categorical Data Simpson s Paradox and Other Cautions Studies and Experiments Introduction to Studies Experiments and Simulations Designing Samples and Surveys

11 The SRS Bad Sampling Good Sampling Cautions about Sampling Experimental Design Different Experimental Design Cautions about Experiments Simulations Generalizability Probability and Random Variables Introduction and Definition of Probability Sample Spaces and Counting Complements Disjoint Events and Addition Rule Independence and the Multiplication Rule Unions Venn Diagrams and more Probability Conditional Probability Tree Diagrams and more Probability Discrete Random Variables Continuous Random Variable Mean and Variance of Random Variable The Law of Large Numbers and Rules for Means and Variances Binomial, Geometric, and Sampling Distributions Binomial Settings Finding Binomial Probabilities The Binomial Formula Mean and Standard Deviation Practice with Binomial Distributions Geometric Settings Calculating Geometrical Probabilities Mean and Standard Deviation Additional Practice with Binomial and Geometrical Distributions Introduction to Sampling Distributions Sample Proportions Sample Means The Central Limit Theorem Review of Random Variables and Sampling Distributions Semester 2 Introduction to Inference Confidence Intervals Sample Size and Confidence Interval Behavior Confidence Intervals and the Calculator The Significance Test Statistical Significance Connecting Confidence Intervals and Tests of Significance Significance Tests and Decision Making Errors and Power Inference for Means and Proportions Confidence Intervals for T Significance Test for T Conditions for T Testing T Distributions and the Calculator T Intervals for Comparing Two Means T Tests for Comparing Two Means

12 Confidence Intervals for Proportions Significance Tests for Proportions Choosing Sample Size and Using Your Calculator Confidence Intervals and Two Proportions Significance Test for Two Proportions Inference for Goodness of Fit Chi-Squared Test for Goodness of Fit Goodness of Fit Conditional and the Calculator Chi-Squared Test of Association/Independence Chi-Squared Test of Independence Conditions and the Calculator Inference for Regression Estimating Slope Regression and Testing Slope AP Review Culminating Project Required Materials Calculator approved for use on the AP exam Course Objectives Grading Policy Besides engaging students in challenging curriculum, the course guides students to reflect on their learning and evaluate their progress through a variety of assessments. Assessments can be in the form of practice lessons, multiple choice questions, writing assignments, projects, research papers, oral assessments, and discussions. The course will use the state-approved grading scale and each course contains a unique end of course assessment. This assessment counts for 20% of the student s overall grade and must be passed with a score of 60% or higher. Students must take the Advanced Placement exam to receive Advanced Placement credit on their final grade report. Students who do not take the AP exam will receive honors-level credit. College Board has authorized FLVS to use the AP designation. AP and Advanced Placement are registered trademarks of The College Board. Achiever Academy students must take Advanced Placement courses with FLVS teachers in order to receive Advanced Placement credit on their final grade report. Communication Policy To achieve success, students are expected to submit work in each course weekly. Students can learn at their own pace; however, any pace still means that students must make progress in the course every week. To measure learning, students complete self-checks, practice lessons, multiple choice questions, simulated AP exams, projects, discussionbased assessments, and discussions. Students are expected to maintain regular contact with teachers; the minimum requirement is monthly. When teachers, students, and parents work together, students are successful.

13 Adv Pl Calculus BC Pre-Requisites: Algebra I, Geometry, Algebra II, & Pre-Calculus or Trigonometry/Analytical Geometry. Credits: 0.5 (per semester) Estimated Completion Time: 2 semesters / weeks Note: This course meets one required Math credit for high school graduation. Description This course consists of a full high school year of work comparable to calculus courses in colleges and universities. Students who complete an AP course in calculus seek college credit, college placement, or both from institutions of higher learning. An interactive text, graphing software, and math symbol software combine with the exciting online course delivery to make calculus an adventure. This course is designed to prepare students for the AP Calculus BC exam given each year in May. Most colleges and universities offer a sequence of several courses in calculus, and entering students are placed within this sequence according to the extent of their preparation, as measured by the results of an AP examination or other criteria. Students with AP Calculus BC examination credit are generally awarded two semesters of college calculus credit. Course description: Access the site link below to view the PDF of the course description from the College Board: Note: This course meets one required math credit for high school graduation. Major Topics and Concepts Semester 1 Limits and Continuity A Preview of Calculus Finding Limits Graphically and Numerically Evaluating Limits Analytically Continuity and One-Sided Limits Infinite Limits Differentiation The Drivative and Tangent Line Problem Basic Differentiation Rules and Rates of Change The Product and Quotient Rules and Higher Order Derivatives The Chain Rule Implicit Differentiation Logarithmic Differentiation Related Rates Applications of Differentiation Extrema on an Interval Rolle's Theorem and the Mean Value Theorem Increasing and Decreasing Functions and the First Derivative Test Concavity and the Second Derivative Test Limits at Infinity Summary of Curve Sketching

14 Optimization Problems Differentials and Linear Approximation Integration Antiderivatives and Indefinite Integration Area Riemann Sums and Definite Integrals The Fundamental Theorem of Calculus Average Value of a function and the Mean Value Theorem for Integrals Integration by Substitution Numerical Integration Transcendental Functions The Integral as a Function Logarithmic, Exponential, and Other Transcendental Functions. The Natural Logarithmic Function and Differentiation The Natural Logarithmic Function and Integration Inverse Functions Exponential Functions: Differentiation and Integration Bases other than e and Applications Inverse Trigonometric Functions and Differentiation Inverse Trigonometric Functions and Integration Differential Equations Differential Equations: Slope Fields Differential Equations: Euler s Method Differential Equations: Growth and Decay Differential Equations: Logistic Equations Differential Equations: Separation of Variables Semester 2 Applications of Integration Area of a Region Between Two Curves Volume: Disk Method Arc Length Work and Other Applications Integration Techniques Basic Integration Rules Integration by Parts Partial Fractions L'Hopital's Rule Improper Integrals Infinite Series Sequences Series and Convergence Integral and p-series Comparison of Series Alternating Series Ratio and Root Tests Taylor Polynomials and Convergence Power Series Representing functions with Power Series Taylor and Maclaurin Series Parametric and Polar

15 Plane Curves and Parametric Equations Parametric Equations and Calculus Polar Coordinates and Polar Graphs Area in Polar Coordinates AP Review Required Materials Calculator approved for use on the AP exam Course Objectives Grading Policy Besides engaging students in challenging curriculum, the course guides students to reflect on their learning and evaluate their progress through a variety of assessments. Assessments can be in the form of practice lessons, multiple choice questions, writing assignments, projects, research papers, oral assessments, and discussions. The course will use the state-approved grading scale and each course contains a unique end of course assessment. This assessment counts for 20% of the student s overall grade and must be passed with a score of 60% or higher. Students must take the Advanced Placement exam to receive Advanced Placement credit on their final grade report. Students who do not take the AP exam will receive honors-level credit. College Board has authorized FLVS to use the AP designation. AP and Advanced Placement are registered trademarks of The College Board. Achiever Academy students must take Advanced Placement courses with FLVS teachers in order to receive Advanced Placement credit on their final grade report. Communication Policy To achieve success, students are expected to submit work in each course weekly. Students can learn at their own pace; however, any pace still means that students must make progress in the course every week. To measure learning, students complete self-checks, practice lessons, multiple choice questions, simulated AP exams, projects, discussionbased assessments, and discussions. Students are expected to maintain regular contact with teachers; the minimum requirement is monthly. When teachers, students, and parents work together, students are successful.

16 Adv Pl Calculus AB Pre-Requisites: Algebra I, Geometry, Algebra II, & Pre-Calculus or Trigonometry/Analytical Geometry Credits: 0.5 (per Semester) Estimated Completion Time: 2 Semesters / weeks Note: This course meets one required Math credit for high school graduation. Description This course consists of a full high school year of work that is comparable to calculus courses in colleges and universities. Students who complete an AP course in calculus seek college credit, college placement, or both from institutions of higher learning. An interactive text, graphing software, and math symbol software combine with the exciting online course delivery to make calculus an adventure. This course is designed to prepare students for the AP Calculus AB exam given each year in May. Most colleges and universities offer a sequence of several courses in calculus, and entering students are placed within this sequence according to the extent of their preparation, as measured by the results of an AP examination or other criteria. Course description: Access the site link below to view the PDF of the course description from the College Board: Major Topics and Concepts Semester 1 Preparation for Calculus Real Numbers Cartesian Plane 10 Trigonometry Review Graphs and Models Linear Models and Rates of Change Functions Limits and Continuity A Preview of Calculus Finding Limits Graphically and Numerically Evaluating Limits Analytically Continuity and One-Sided Limits Infinite Limits Differentiation The Derivative and Tangent Line Problem Basic Differentiation Rules and Rates of Change The Product and Quotient Rules and Higher Order Derivatives The Chain Rule Implicit Differentiation Logarithmic Differentiation Related Rates Applications of Differentiation

17 Extrema on an Interval Rolle's Theorem and the Mean Value Theorem Increasing and Decreasing Functions and the First Derivative Test Concavity and the Second Derivative Test Limits at Infinity Summary of Curve Sketching Optimization Problems Differentials Integration Antiderivatives and Indefinite Integration Area Semester 2 Integration Riemann Sums and Definite Integrals The Fundamental Theorem of Calculus Average Value of a function and the Mean Value Theorem for Integrals Integration by Substitution Numerical Integration Transcendental Functions The Natural Logarithmic Function and Differentiation The Natural Logarithmic Function and Integration Inverse Functions Exponential Functions: Differentiation and Integration Bases other than e and Applications Inverse Trigonometric Functions and Differentiation Inverse Trigonometric Functions and Integration Differential Equations Differential Equations: Slope Fields Differential Equations: Growth and Decay Differential Equations: Separation of Variables Applications of Integration Area of a Region Between Two Curves Volume: Disk Method Integration Techniques Basic Integration Rules Indeterminate Forms and L'Hopital's Rule AP Review Required Materials Calculator approved for use on the AP exam Course Objectives Grading Policy Besides engaging students in challenging curriculum, the course guides students to reflect on their learning and evaluate their progress through a variety of assessments. Assessments can be in the form of practice lessons, multiple choice questions, writing assignments, projects, research papers, oral assessments, and discussions. The course will use the state-approved grading scale and each course contains a unique end of course assessment. This assessment counts for 20% of the student s overall grade and must be passed with a score of 60% or higher.

18 Students must take the Advanced Placement exam to receive Advanced Placement credit on their final grade report. Students who do not take the AP exam will receive honors-level credit. College Board has authorized FLVS to use the AP designation. AP and Advanced Placement are registered trademarks of The College Board. Achiever Academy students must take Advanced Placement courses with FLVS teachers in order to receive Advanced Placement credit on their final grade report. Communication Policy To achieve success, students are expected to submit work in each course weekly. Students can learn at their own pace; however, any pace still means that students must make progress in the course every week. To measure learning, students complete self-checks, practice lessons, multiple choice questions, simulated AP exams, projects, discussionbased assessments, and discussions. Students are expected to maintain regular contact with teachers; the minimum requirement is monthly. When teachers, students, and parents work together, students are successful.

19 Algebra II / Algebra II Honors Pre-Requisites: Algebra I Credits: 0.5 (per semester) Estimated Completion Time: 2 semesters / weeks Note: This course meets one required Math credit for high school graduation. Description This course allows students to learn while having fun. Interactive examples help guide students journey through customized feedback and praise. Mathematical concepts are applied to everyday occurrences such as earthquakes, stadium seating, and purchasing movie tickets. Students investigate the effects of an equation on its graph through the use of technology. Students have opportunities to work with their peers on specific lessons. Algebra II is an advanced course using hands-on activities, applications, group interactions, and the latest technology. Regular course description: Honors course description: Major Topics and Concepts Semester 1 Review of Algebra Review of Algebra 1 Solving Literal Equations Variations Absolute Value Equations and Inequalities in One Variable Graphing Linear Equations and Inequalities Writing the Equation of a Line Parallel and Perpendicular Lines Absolute Value Equations and Inequalities in Two Variables Systems of Equations and Inequalities Graphing Systems of Equations Solving a System of Equations through Elimination Solving a System of Equations through Substitution Solving a System of Equations with Three Variables Solving Word Problems Solving Systems of Inequalities Factoring Review of Polynomials Polynomial Operations Greatest Common Factors and Special Products Factoring Trinomials Factoring by Grouping Sum and Difference of Cubes Radical Expressions Simplifying Radicals Adding and Subtracting Radical Expressions Multiplying and Dividing Radical Expressions Rational Exponents Properties of Rational Exponents Complex Numbers Operations on Complex Numbers

20 Solving Radical Equations Solving Quadratic Equations Graphing Quadratics Solving Quadratics by Factoring Solving Quadratics using the Quadratic Formula Completing the Square Solving Quadratic Equations with Complex Numbers Investigating Quadratics Semester 2 Polynomial Functions Introduction to Functions Graphing Polynomial Functions Polynomial Long Division Synthetic Division Theorems of Algebra Rational Root Theorem and Descartes Rule of Signs Solving Polynomial Equations Rational Expression Simplifying Rational Expressions Multiplying and Dividing Rational Expressions Adding and Subtracting Rational Expressions Discontinuities of Rational Functions Solving Rational Equations Exponents and Logarithms Graphs of Common Functions Graphing Exponential Functions Exponential Growth and Decay Functions Solving Exponential Equations Logarithmic Functions Change of Base Formula Graphing Logarithmic Functions Properties of Logarithms Solving Exponential Equations with Unequal Bases Exponential and Logarithmic Functions Activity Sequences and Series Arithmetic Sequences Arithmetic Series Geometric Sequences Geometric Series Required Materials Course Objectives Grading Policy Besides engaging students in challenging curriculum, the course guides students to reflect on their learning and evaluate their progress through a variety of assessments. Assessments can be in the form of practice lessons, multiple choice questions, writing assignments, projects, research papers, oral assessments, and discussions. The course will use the state-approved grading scale and each course contains a unique end of course assessment. This assessment counts for 20% of the student s overall grade and must be passed with a score of 60% or higher.

21 Communication Policy To achieve success, students are expected to submit work in each course weekly. Students can learn at their own pace; however, any pace still means that students must make progress in the course every week. To measure learning, students complete self-checks, practice lessons, multiple choice questions, projects, discussion-based assessments, and discussions. Students are expected to maintain regular contact with teachers; the minimum requirement is weekly. When teachers, students, and parents work together, students are successful.

22 Algebra I / Algebra I Honors Pre-Requisites: M/J Math II Advanced or M/J Pre-Algebra Credits: 0.5 (per semester) Estimated Completion Time: 2 semesters / weeks Note: This course meets one required Math credit for high school graduation. Description Algebra I is the foundation the skills acquired in this course contain the basic knowledge needed for all future high school math courses. The material covered in this course is important, but everyone can do it. Anyone can have a good time solving the hundreds of real-world problems algebra can help answer. Each module in this course is presented in a step-by-step way right on the computer screen. Hands-on labs make the numbers, graphs, and equations more real. The content in this course is tied to real-world applications like sports, travel, business, and health. This course is designed to give students the skills and strategies to solve all kinds of mathematical problems. Students will also acquire the confidence needed to handle everything high school math has in store for them. Regular course description: Honors course description: Major Topics and Concepts Semester 1 Expressions Operations with Integers Order of operations Algebraic Expressions Simplifying Expressions Using the Distributive Property Translations Equations Algebraic Properties and One-Step Equations Solving Two-Step Equations Solving Equations with Variables on Both Sides Word Problems Solving Equations with Fractions Literal Equations Relations and Functions Venn Diagrams and Sets Union and Intersection of Sets Complement and Cross Product Relations and Functions Evaluating Functions Linear Equations Slope X and Y Intercepts Slope-Intercept Form Horizontal and Vertical Lines Point-Slope Form Parallel and Perpendicular Lines Scatter Plots and Lines of Best Fit Inequalities

23 Solving Inequalities Compound Inequalities Graphing Inequalities in Two Variables Inequalities Activity Semester 2 Systems of Equations Solving Systems of Equations by: Graphing, Substitution, and Elimination Applications of Systems Graphing Systems of Inequalities Polynomials Addition, Subtraction, Multiplication and Division of Polynomials Special Products Factoring Greatest Common Factor Factoring by Grouping Factoring Trinomials Perfect Square Trinomials Difference of Squares Quadratic Equations Quadratic Equations: Solving Quadratic Equations by Factoring and Using the Quadratic Formula Graphical Parts of Quadratics Honors Only Solving Real-World Problems Involving Quadratics Using Graphing Technology Radical Expressions Simplifying Algebraic Ratios and Proportions Simplifying Radical Expressions Required Materials Course Objectives Grading Policy Besides engaging students in challenging curriculum, the course guides students to reflect on their learning and evaluate their progress through a variety of assessments. Assessments can be in the form of practice lessons, multiple choice questions, writing assignments, projects, research papers, oral assessments, and discussions. The course will use the state-approved grading scale and each course contains a unique end of course assessment. This assessment counts for 20% of the student s overall grade and must be passed with a score of 60% or higher. Communication Policy To achieve success, students are expected to submit work in each course weekly. Students can learn at their own pace; however, any pace still means that students must make progress in the course every week. To measure learning, students complete self-checks, practice lessons, multiple choice questions, projects, discussion-based assessments, and discussions. Students are expected to maintain regular contact with teachers; the minimum requirement is weekly. When teachers, students, and parents work together, students are successful.