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Course Technology ▪ Delmar ▪ South-Western Financial Algebra Gerver/Sgroi © 2011 Pub date: 1/27/10

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Course Technology ▪ Delmar ▪ South-Western Financial Algebra Debbie Henson National Sales Consultant www.cengage.com/focus/IL

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Course Technology ▪ Delmar ▪ South-Western www.cengage.com/focus/IL Mary Sommers Mary.sommers@cengage.com 608.846.2174 Counties I Cover Toya Moore Toya.moore@cengage.com 773.793.4059 Counties I Cover Kimberly Lourinia Kimberly.lourinia@cengage.com 800.998.7498, x2606 Counties I Cover Larry Schneider Larry.schneider@cengage.com 800.543.0487, x1571 Counties I Cover Margie Schneider Margie.schneider@cengage.com 800.543.0487, x1553 Counties I Cover Heather Cramer Heather.cramer@cengage.com 800.998.7498, x2605 Counties I Cover

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Course Technology ▪ Delmar ▪ South-Western Financial Algebra Math Content Business and Finance Applications Financial Algebra Everything you need to know, but no one teaches you!

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Course Technology ▪ Delmar ▪ South-Western Financial Algebra Math course with a Finance setting 3 rd or 4 th year math credit Prerequisite: Algebra I College Prep course FreshmanSophomoreJuniorSenior Algebra 1GeometryAlgebra 2Financial Algebra Algebra 1GeometryFinancial AlgebraAlgebra 2 Algebra 1Financial AlgebraGeometryAlgebra 2 *FA can be taken concurrently with Alg 2 or Geometry

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Course Technology ▪ Delmar ▪ South-Western Who will take this course? Juniors and Seniors Senior who hasn’t taken math since the 10 th grade, but needs to fulfill a 3 rd Math credit to graduate. Non-College bound students going straight into the workforce College bound students who are not going to major in Science or Mathematics

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Course Technology ▪ Delmar ▪ South-Western 10 chapters under six financial umbrellas: – Investing – Banking – Credit – Income Taxes – Insurance – Household Budgeting Financial Algebra

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Course Technology ▪ Delmar ▪ South-Western Coverage Algebra Mechanics and Problem Solving Basic algebra formulas with variables Equations Functions Systems of equations Graphs Statistics And more! Basic algebra formulas with variables Equations Functions Systems of equations Graphs Statistics And more! Advanced Mathematics Topics Piecewise functions Regression Limits Exponential functions Linear and Quadratic systems And more! Piecewise functions Regression Limits Exponential functions Linear and Quadratic systems And more!

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Course Technology ▪ Delmar ▪ South-Western Financial Algebra Table of Contents 1 The Stock Market 2 Modeling a Business 3 Banking Services 4 Consumer Credit 5 Automobile Ownership 6 Employment Basics 7 Income Taxes 8 Independent Living 9 Planning for Retirement 10 Prepare a Budget

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Course Technology ▪ Delmar ▪ South-Western Detailed TOC Math topics covered in the chapter!

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Course Technology ▪ Delmar ▪ South-Western

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How can you model automobile expense (loan payments) and depreciation over a fixed period of time? What is the value of your car?

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Equation of a line y = mx + b Remember this?

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EXPENSE and DEPRECIATION FUNCTIONS (35.24, 23733.33)

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How does your money grow? What is compound interest? SAVINGS ACCOUNTS

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Date11-Jul12-Jul Opening Balance$1,234.98 Deposit (+)$34.00$345.77 Withdrawal (-)$200.00 Principal Used to Compute Interest Day’s Interest rounded to the nearest cent Ending Balance (this is also tomorrow’s opening balance)

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Date11-Jul12-Jul Opening Balance$1,234.98 Deposit (+)$34.00$345.77 Withdrawal (-)$200.00 Principal Used to Compute Interest $1,068.98 Day’s Interest rounded to the nearest cent $0.09 Ending Balance- (this is also tomorrow’s opening balance) $1,069.07

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Date11-Jul12-Jul Opening Balance$1,234.98$1,069.07 Deposit (+)$34.00$345.77 Withdrawal (-)$200.00--- Principal Used to Compute Interest $1,068.98$1,414.84 Day’s Interest rounded to the nearest cent $0.09$0.12 Ending Balance- (this is also tomorrow’s opening balance) $1,069.07$1,414.96

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How can you model and graph the tax schedules? FEDERAL TAXES

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We can model the schedule using piecewise functions. There are 6 taxable income intervals in the chart. If x represents any taxable income, then those intervals can be expressed in tax schedule notation, interval notation, and compound inequality notation as follows:

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For each interval in the tax schedule beyond the first, the tax is calculated by adding a fixed tax to a percentage of the difference between the taxable income and some number that is stated in the schedule. Let y represent the tax liability and x represent the taxable income. The tax liabilities can be expressed algebraically as shown here: Tax Schedule NotationTax Liability Equation Over $0 but not over $15100Y = 0.10x Over $15100 but not over $61300Y = 1510+0.15(x - 15100) Over $61300 but not over $123700Y=8440 + 0.25(x – 61300) Over $123700 but not over $188450Y= 24040 + 0.28(x – 123700) Over $188450 but not over $336550Y= 42170 + 0.33(x – 188450) Over $336550Y = 91043 + 0.35(x – 336550)

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Tax Schedule NotationInterval NotationCompound Inequality Notation Over $0 but not over $15100 0 < x 15100(x > 0 and x 15100) Over $15100 but not over $61300 15100 < x 61300(x > 15100 and x 61300) Over $61300 but not over $123700 61300 < x 123700(x > 61300 and x 123700) Over $123700 but not over $188450 123700 < x 188450(x > 123700 and x 188450) Over $188450 but not over $336550 188450 < x 336550(x > 188450 and x 336550) Over $336550x > 336550(x > 336550)

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Piecewise Function If f(x) represents the entire tax liability function for married taxpayers filing jointly, then this function can be written in piecewise function notation as

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HOW DOES THE TAX COMPUTATION WORKSHEET RELATE TO THE PIECEWISE FUNCTION? 100,000 25,000 18,115

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For taxable incomes over $61300 but not over $123700, the equation is stated as y = 8440 +0.25(x – 61300) where y represents the tax liability and x represents the taxable income. Use the distributive property and combine like terms as follows: y = 8440 + 0.25(x – 61300) y = 8440 + 0.25x - 0.25(61300) y = 8440 + 0.25x – 15325 y = 0.25x + 8440 – 15325 y = 0.25x – 6885

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100,000 25,000 18,115

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Course Technology ▪ Delmar ▪ South-Western Instructional Model A relevant quote and chapter introduction set the stage for the topics covered in the chapter.

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Course Technology ▪ Delmar ▪ South-Western Instructional Model Really? Really! grasps students’ attention by discussing a fascinating real-life topic related to the chapter content. Really

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Course Technology ▪ Delmar ▪ South-Western Instructional Model An intriguing quote at the beginning of each lesson motivates the learning of lesson content Each lesson begins with a discussion of terms and concepts related to the lesson topic.

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Course Technology ▪ Delmar ▪ South-Western Skills and Strategies, teaches the math concepts through worked-out examples. Several examples teach each math concept step-by- step. All math concepts are taught within real-life context. When am I every going to use this in real-life? is answered here! Instructional Model

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Course Technology ▪ Delmar ▪ South-Western Check Your Understanding allows students to immediately practice the concept on their own. Extend Your Understanding provides an opportunity to solve a more challenging problem. Instructional Model

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Course Technology ▪ Delmar ▪ South-Western Carefully developed, proven applications at the end of each lesson require students to apply concepts to a specific question or scenario. Instructional Model

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Course Technology ▪ Delmar ▪ South-Western Chapter Assessment provides an opportunity for students to check their knowledge of chapter content. Real Numbers: You Write the Story asks students to examine a graph and write a story focused around the graph’s information. Instructional Model

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Course Technology ▪ Delmar ▪ South-Western Reality Check assists in extending the learning experience beyond the classroom with specific suggestions for research opportunities, projects, and guest speakers. Instructional Model

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Course Technology ▪ Delmar ▪ South-Western Dollars and Sense guides students to the companion website where they will find up-to-date information and activities related to the chapter content. Instructional Model

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Course Technology ▪ Delmar ▪ South-Western Meaningful applications at the end of each chapter require students to apply concepts that were taught throughout the chapter. Instructional Model

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Course Technology ▪ Delmar ▪ South-Western Supplements Annotated Instructor’s Edition Instructor’s Resource CD – Lesson plans, PowerPoints, and Workbook Answers ExamView Test Generator Student Workbook eHomework Interactive online homework Adobe eBook Companion Website

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Course Technology ▪ Delmar ▪ South-Western eHomework – Interactive Online Student Workbook Saves time and ensures immediate student understanding! Automatically graded assignments for the instructor Immediate feedback on every question for the student

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Course Technology ▪ Delmar ▪ South-Western Hear from the authors! Dr. Robert Gerver Dr. Richard Sgroi www.cengage.com/school/teamup

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Course Technology ▪ Delmar ▪ South-Western Financial Algebra Gerver/Sgroi © 2011 Pub date: 1/27/10

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Course Technology ▪ Delmar ▪ South-Western © 2010 Business Math Mary Hansen 17 th Edition Course Title: Consumer Math Prepare Florida Students for Tomorrow’s World

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Course Technology ▪ Delmar ▪ South-Western Correlated for Florida Consumer Math success Complete Student and Instructor support package Excellent organization for effective instruction and student learning Mathematics is taught, reinforced, and assessed with real-world applications Prepare Florida Students for Tomorrow’s World

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Course Technology ▪ Delmar ▪ South-Western Correlated to Florida Standards and Access Points Additional online workshops created for Florida teachers MA.6.A.1.3 Solve real-world problems involving multiplication and division of fractions and decimals. xxv-xxvi, xxviii, 63, 80-86, 99, 109-111, 137, 143, 147, 170, 173, 188, 192, 243, 249, 278, 289, 299, 347, 351, 353, 357, 365, 367, 370, 429, 432, 438, 455, 487, 498, 537, 552, 563, 569I MA.6.A.3.1 Write and evaluate mathematical expressions that correspond to given situations. xxii, xxxv, 5, 6, 15, 21, 81-84, 112, 172-174, 274, 296, 304, 310, 338, 392, 427, 439, 555- 556, 564-567I MA.6.A.3.4Solve problems given a formula. 5, 6, 15, 21, 22, 81, 84, 112, 172-174, 274, 296, 392, 439, 555-556, 564-567I MA.6.A.5.1 Use equivalent forms of fractions, decimals, and percents to solve problems. xxxi-xxxii, 4, 8, 14-19, 40, 43-45, 56, 61, 62, 63, 110-111, 128, 134, 138, 148, 241-243, 258, 290, 293, 295-299, 342-345, 359, 518-521I MA.6.S.6.1 Determine the measures of central tendency (mean, median, mode) and variability (range) for a given set of data. xxvii, 27-31, 33, 250-252, 336-341, 518, see also www.cengage.com/school/business/math (**Click on the 2009 Adoptions tab on the left)I MA.7.A.1.2 Solve percent problems, including problems involving discounts, simple interest, taxes, tips, and percents of increase or decrease. xxxi-xxxii, 14-19, 43-45, 57, 65, 81, 108, 110- 119, 129-130, 138-156, 170-183, 192-199, 210-215, 295-299, 342-345, 367, 425-443, 478-481, 518-519I

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Course Technology ▪ Delmar ▪ South-Western Aligns with the Jump$tart Coalition’s National Standards for Personal Financial Literacy

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Course Technology ▪ Delmar ▪ South-Western Major Tools: Students Student Edition (hardcover text) Companion Web Site www.cengage.com/school/business/math

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Course Technology ▪ Delmar ▪ South-Western Ancillary Materials: Students Student Workbook (softcover) Extra practice for every lesson Online E-book: Student Edition View with free Adobe® Acrobat® Reader™

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Course Technology ▪ Delmar ▪ South-Western Instructor’s Wraparound Edition Companion Web Site: www.cengage.com/school/business/math www.cengage.com/school/business/math Major Tools: Teacher

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Course Technology ▪ Delmar ▪ South-Western Ancillary Materials: Teacher Instructor’s Resource CD Lesson Plans, Algebra and Geometry Activities, Technology Activities, Chapter Test Masters and Answers; Competitive Event Guide; Instructor’s Edition of Workbook ExamView Assessment Suite – More than 40 questions per chapter – Multiple choice, numeric response, completion, short answer Data Activities CD

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Course Technology ▪ Delmar ▪ South-Western Effective Instruction Design Open Goals, key terms, real-world lesson starter Start Up revisited in the Wrap Up. Access Point MA.912.F.4.Su.aDistinguish between income and expenses.

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Course Technology ▪ Delmar ▪ South-Western Lessons-Focused on Math Teach Math Skill Builder reinforces basic skills. Correlated to the Skills Workshops. MA.6.A.5.1 Use equivalent forms of fractions, decimals, and percents to solve problems.

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Course Technology ▪ Delmar ▪ South-Western Lessons-Focused on Math Teach Math content taught step-by-step in context. MA.7.A.1.2 Solve percent problems, including problems involving discounts, simple interest, taxes, tips, and percents of increase or decrease.

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Course Technology ▪ Delmar ▪ South-Western Reinforcement Activities Access Point MA.912.F.1.Su.cIdentify interest rates used in real-world situations. LA.910.1.6.1 The student will use new vocabulary that is introduced and taught directly.

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Course Technology ▪ Delmar ▪ South-Western Tips Provide Extra Help

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Course Technology ▪ Delmar ▪ South-Western Integrated Technology

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Course Technology ▪ Delmar ▪ South-Western Data, Technology & Careers

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Course Technology ▪ Delmar ▪ South-Western Ongoing Assessment and Review Practice – Basic Math Practice – Consumer Math Practice – Best Buy – Financial Decision Making – Integrating Your Knowledge – Critical Thinking – Mixed Review Access Point MA.912.F.4.In.b Use real-world strategies needed to manage personal income.

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Course Technology ▪ Delmar ▪ South-Western Ongoing Assessment and Review

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Course Technology ▪ Delmar ▪ South-Western Prepare Florida Students for Tomorrow’s World Next Generation Sunshine State Standards (NGSSS) Real-world consumer applications Wealth of activities and exercises Resources include – Instructor’s Wraparound Edition – Instructor’s Resource CD – Data Activities CD – ExamView Assessment Software Student resources include – Student Edition – Workbook – Website – Ebook

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Course Technology ▪ Delmar ▪ South-Western Prepare Florida Students for Tomorrow’s World

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