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Loose Leaf for Math in Our World: A Quantitative Literacy Approach [Loose-leaf]

  • Formatas: Loose-leaf, 480 pages, aukštis x plotis x storis: 272x206x18 mm, weight: 794 g
  • Išleidimo metai: 15-Sep-2016
  • Leidėjas: McGraw-Hill Education
  • ISBN-10: 1259827968
  • ISBN-13: 9781259827969
Kitos knygos pagal šią temą:
  • Formatas: Loose-leaf, 480 pages, aukštis x plotis x storis: 272x206x18 mm, weight: 794 g
  • Išleidimo metai: 15-Sep-2016
  • Leidėjas: McGraw-Hill Education
  • ISBN-10: 1259827968
  • ISBN-13: 9781259827969
Kitos knygos pagal šią temą:
What does quantitative reasoning really mean? Is it just liberal arts math with a new name on the cover of the book? We say that it is not. It’s about students productively struggling with context-based problems. It’s not just learning how to do math problems, but more importantly learning how quantitative thinking is applied throughout the curriculum, and throughout a lifetime.
Unit 1 THE IMPORTANCE OF BEING NUMERATE
Lesson 1 Giving 110 Percent (Review of Percents)
3(14)
Objective 1 Perform conversions and calculations involving percents
Objective 2 Find percent increase or decrease
Objective 3 Solve problems using percents
Objective 4 Evaluate the legitimacy of claims based on percents
Lesson 2 Where Does the Time Go? (Using Percentages and Pie Charts)
17(14)
Objective 1 Complete and analyze a weekly time chart
Objective 2 Review a variety of calculations that involve percentages
Objective 3 Create and interpret pie charts by hand
Objective 4 Use a spreadsheet to create a pie chart
Lesson 3 It's All About Style (Interpreting and Drawing Bar Graphs)
31(14)
Objective 1 Identify and understand your learning style
Objective 2 Create and interpret bar graphs using a spreadsheet and by hand
Objective 3 Decide whether a bar graph or pie chart is more appropriate for a given situation
Lesson 4 Take a Guess! (Estimation and Number Sense)
45(12)
Objective 1 Make educated guesses in a variety of settings
Objective 2 Estimate locations on a number line
Objective 3 Compare numbers using inequality symbols
Objective 4 Approximate square roots
Lesson 5 Of Planes, Boats, Doll Houses, and Dr. Evil (Dimensional Analysis)
57(12)
Objective 1 Understand the meaning of scale in models and maps
Objective 2 Convert units using dimensional analysis
Objective 3 View percentages in terms of scale
Lesson 6 Relatively Speaking (Interpreting Relative Difference/Relative Error)
69(12)
Objective 1 Compare difference and relative difference, and understand why relative difference is often a more meaningful comparison
Objective 2 Apply relative error
Objective 3 Find conversion factors for square and cubic units
Lesson 7 Attraction and Melted Chocolate (Scientific Notation)
81(14)
Objective 1 Write large and small numbers in scientific notation
Objective 2 Describe the significance of writing numbers in scientific notation
Objective 3 Study Newton's law of gravitation
Objective 4 Compute the speed of light experimentally
Lesson 8 Portion Control (Apportionment)
95(16)
Objective 1 Describe what apportionment is and why it's used
Objective 2 Compute standard divisors and quotas
Objective 3 Apportion items using a variety of methods
Unit 2 CONTENDING WITH CHANGE
Lesson 1 Follow the Pattern (Comparing Linear and Exponential Growth)
111(12)
Objective 1 Recognize patterns and use them to make predictions
Objective 2 Distinguish between linear and exponential growth
Lesson 2 88 Miles Per Hour (Rates of Change)
123(10)
Objective 1 Compute rates of change and compare to ratios and conversion factors
Objective 2 Interpret and use rates of change
Objective 3 Convert units involving rates
Lesson 3 Warning: Graphic Content (Graphing, Slope, and Rate of Change)
133(18)
Objective 1 Understand and use a rectangular coordinate system
Objective 2 Connect data to graphs and interpret graphs
Objective 3 Define slope as a constant rate of change
Objective 4 Define and interpret the y intercept of a line
Objective 5 Write an equation of a line that models data from a description, table, or graph
Lesson 4 The Great Tech Battle (Linear Relationships and Lines of Best Fit)
151(14)
Objective 1 Decide if two data sets are linearly related
Objective 2 Find lines of best fit for data using spreadsheets and calculators
Objective 3 Use lines of best fit to analyze data
Objective 4 Interpret correlation coefficients
Lesson 5 Sit Back and Watch Your Money Grow (Exponential Growth Equations)
165(14)
Objective 1 Illustrate exponential growth with a graph
Objective 2 Solve problems using graphs representing exponential growth and decay
Objective 3 Identify the significance of the parameters in an exponential equation
Objective 4 Find and interpret exponential models
Lesson 6 Follow the Bouncing Golf Ball (Exponential Curve Fitting)
179(12)
Objective 1 Gather and organize data from an experiment
Objective 2 Find an exponential curve of best fit for a real data set
Objective 3 Study the rate of decay for an exponential equation
Lesson 7 Keeping Current (Modeling Current Data with Linear or Exponential Equations)
191(14)
Objective 1 Decide on an appropriate type of model for a given data set
Objective 2 Model data with a linear or exponential equation
Objective 3 Research current data to compare to values predicted by a model
Unit 3 MANAGING YOUR MONEY
Lesson 1 A Topic of Interest (Simple Interest)
205(12)
Objective 1 Define interest and understand related terminology
Objective 2 Develop simple interest formulas
Objective 3 Use simple interest formulas to analyze financial issues
Lesson 2 Like a Snowball Rolling Downhill (Compound Interest)
217(16)
Objective 1 Describe how compound interest differs from simple interest
Objective 2 Develop compound interest formulas
Objective 3 Use compound interest formulas to analyze financial issues
Lesson 3 Buying Stuff Without Money (Installment Buying)
233(18)
Objective 1 Compute payments and charges associated with installment loans
Objective 2 Identify the true cost of a loan by computing APR
Objective 3 Evaluate the costs of buying items on credit
Lesson 4 Investing in Yourself (Education and Home Loans)
251(16)
Objective 1 Understand different student loan options
Objective 2 Compute interest and monthly payments on a student loan
Objective 3 Evaluate the effects of capitalizing interest
Objective 4 Analyze various aspects of a mortgage
Objective 5 Compare two mortgages of different lengths
Objective 6 Prepare an amortization schedule
Lesson 5 A Walk on Wall Street (Stocks and Bonds)
267(16)
Objective 1 Read information from a stock listing
Objective 2 Calculate costs of buying stock, and profit or loss from selling
Objective 3 Study the price to earnings ratio, and use it to analyze the value of a stock
Objective 4 Calculate profit from a bond sale
Lesson 6 A Taxing Situation (Income Taxes)
283(16)
Objective 1 Understand why we pay taxes
Objective 2 Explain the basic process of paying taxes
Objective 3 Determine the amount of tax due based on taxable income
Objective 4 Complete a 1040EZform
Unit 4 STATISTICALLY SPEAKING
Lesson 1 A Likely Story (Basic Probability)
299(20)
Objective 1 Understand key terminology in the study of probability
Objective 2 Compute and interpret theoretical and empirical probabilities
Objective 3 Compare theoretical and empirical probability
Lesson 2 Make It Count (Sample Spaces and Counting Techniques)
319(16)
Objective 1 Describe how counting techniques are useful in probability theory
Objective 2 Use tree diagrams and tables to determine sample spaces and compute probabilities
Objective 3 Develop and use the fundamental counting principle
Lesson 3 Odds and Ends (Odds and Expected Value)
335(16)
Objective 1 Distinguish between odds and probability
Objective 2 Compute and interpret the odds in favor of and odds against an event
Objective 3 Compute odds from probability and vice versa
Objective 4 Develop a procedure for finding expected value
Objective 5 Compute and interpret expected values
Lesson 4 Crunching the Numbers (Gathering and Organizing Data)
351(20)
Objective 1 Explain the difference between a population and a sample
Objective 2 Compare and contrast different sampling methods
Objective 3 Organize data with frequency distributions
Objective 4 Analyze data with stem and leaf plots
Lesson 5 An Average Joe (Measures of Average)
371(18)
Objective 1 Compute measures of average for given data
Objective 2 Interpret the story told by measures of average
Objective 3 Compute and interpret the mean for grouped data
Objective 4 Compute weighted grades
Objective 5 Use technology to compute measures of average
Lesson 6 Your Results May Vary (Measures of Variation)
389(16)
Objective 1 Compute measures of variation for a given data set
Objective 2 Interpret standard deviation for a data set
Objective 3 Make meaningful comparisons of standard deviation for two data sets
Objective 4 Analyze the procedure for computing standard deviation
Lesson 7 Just a Normal Day (Normal Distributions and Z Scores)
405(18)
Objective 1 Recognize characteristics of data that are normally distributed
Objective 2 Understand the connection between area under a normal curve, percentage, and probability
Objective 3 Make an educated guess about the empirical rule, then use the rule to calculate percentages and probabilities
Objective 4 Compare data values from different sets using Z scores
Lesson 8 The Error of Your Ways (Polling and Margin of Error)
423(14)
Objective 1 Identify margin of error in a poll
Objective 2 Calculate and interpret the meaning of margin of error
Objective 3 Calculate the number of respondents needed for a given margin of error
Lesson 9 Trust No One (Misuses of Statistics)
437(18)
Objective 1 Identify misuses of sampling and evaluate their effect on statistical results
Objective 2 Recognize and describe common misuses of compiling and reporting statistics that make them meaningless or deceiving
Objective 3 Study ways that graphs can be manipulated to tell a desired story
Prep Skills Answers 455(4)
Index 459
I was born and raised in Cleveland, and started college at Bowling Green State University in 1984 majoring in creative writing. Eleven years later, I walked across the graduation stage to receive a PhD in math, a strange journey indeed. After two years at Franklin and Marshall College in Pennsylvania, I came home to Ohio, accepting a tenure-track job at the Hamilton campus of Miami University. Ive won a number of teaching awards in my career, and while maintaining an active teaching schedule, I now spend an inordinate amount of time writing textbooks and course materials. Ive written or co-authored either seven or twelve textbooks, depending on how you count them, as well as several solutions manuals and interactive CD-ROMS. After many years as developmental math coordinator at Miami Hamilton, I share the frustration that goes along with low pass rates in the developmental math curriculum. Far too many students end up on the classic Jetsons-style treadmill, with the abstract nature of the traditional algebra curriculum keeping them from reaching their goals. Like so many instructors across the country, I believe the time is right to move beyond the one-size-fits-all curriculum that treats students the same whether they hope to be an engineer or a pastry chef. Because weve always done it that way is NOT a good reason to maintain the status quo in our curriculum. Lets work together to devise alternate pathways that help students to learn more and learn better while hastening their trip into credit-bearing math courses. Since my book (Math in Our World) is written for the Liberal Arts Math and Quantitative Literacy market, I think Im in the right place at the right time to make a difference in the new and exciting pathways course. Im in a very happy place right now: my love of teaching meshes perfectly with my childhood dream of writing. (Dont tell my publisher this they think I spend 20 hours a day working on textbooks but Im working on my first novel in the limited spare time that I have.) Im also a former coordinator of Ohio Project NExT, as I believe very strongly in helping young college instructors focus on high-quality teaching as a primary career goal. I live in Fairfield, Ohio with my lovely wife Cat and fuzzy dogs Macleod and Tessa. When not teaching or writing, my passions include Ohio State football, Cleveland Indians baseball, heavy metal music, travel, golf, and home improvement.





I can say without a doubt that I was made to be in a classroom. I followed the footsteps of my father, a 35-year middle school math teaching veteran, into this challenging yet rewarding career. My college experience began as a community college student at Lakeland College in Mattoon, Illinois. From there, I received a Bachelor of Science in Mathematics from Eastern Illinois University and a Master of Science in Mathematics from Southern Illinois University. I accepted a tenure-track faculty position at Parkland College, where I have taught developmental and college-level courses for 15 years. I had the opportunity to begin writing textbooks shortly after I started teaching at Parkland. My then department chair and mentor, James W. Hall, and I co-authored several textbooks in Beginning and Intermediate Algebra. In the fall of 2011, our department began discussing the idea of creating two tracks through our beginning and intermediate algebra courses. The idea stemmed from two issues. First, most of our beginning and intermediate algebra students were headed to either our Liberal Arts Math or our Introduction to Statistics course. Second, we wanted to beef up intermediate algebra to better prepare those students who were headed to college algebra. These were two competing ideas! Increasing the algebraic rigor of these courses seemed to punish students who were not heading to college algebra. With the two track system, we implemented a solution that best serves both groups of students. I have to admit that I was initially concerned that offering an alternate path through developmental mathematics for students not planning to take college algebra would lead to a lowering of standards. However, my participation in our committee investigating this idea led me to believe it was possible to offer a rigorous course that was exceedingly more appropriate for this group of students. Since there were no materials for the course, I began creating my own and was paired by McGraw Hill with Dave Sobecki. Together, we have created the material that I have been using for class testing. After a semester and a half of piloting these materials and seeing the level of enthusiasm and engagement in the mathematical conversations of my students, I am now convinced that this is an ideal course to refine and offer. As a trusted colleague told me, this is just a long overdue idea. Outside of the classroom and away from the computer, I am kept educated, entertained and ever-busy my wonderful wife, Nikki, and our two children, Charlotte, 6 and Jake, 5. I am an avid St. Louis Cardinals fan and enjoy playing recreational softball and golf in the summertime with colleagues and friends.