NOTE: Before purchasing, check with your instructor to ensure you select the correct ISBN. Several versions of Pearson's MyLab & Mastering products exist for each title, and registrations are not transferable. To register for and use Pearson's MyLab & Mastering products, you may also need a Course ID, which your instructor will provide.   Used books, rentals, and purchases made outside of Pearson If purchasing or renting from companies other than Pearson, the access codes for Pearson's MyLab & Mastering products may not be included, may be incorrect, or may be previously redeemed. Check with the seller before completing your purchase.     This course is ideal for accelerating students as an alternative to the traditional developmental math sequence and preparing them for a college-level statistics, liberal arts math, or STEM-prep course.   MyMathLab for Foundations for Mathematical Reasoning is the first in a series of MyMathLab courses built to support the New Mathways Project developed by the Charles A. Dana Center. The New Mathways Project embodies the Dana Center’s vision for a systemic approach to improving student success and completion through implementation of processes, strategies, and structures built around three mathematics pathways and a supporting student success course. Foundations for Mathematical Reasoning is the common starting point for all three mathematics pathways and is designed to build the mathematical skills and understanding necessary for success in a quantitative literacy, statistics, or algebra course.  

Table of Contents:
Lesson 1: Reasoning With Large Numbers Part A: How Big Is a Billion? Scale measurements of groups to represent individual elements Scale measurements to represent larger quantities of individual elements Part B: Building a Learning Community Identify ways in which this course is different from other math courses in both content and structure Part C: How Big Is a Billion? (Continued) Convert between units of measure Calculate quantities in billions Part D: Building a Learning Community (Continued) Create a positive learning environment and a sense of community in the classroom Identify their responsibilities in the course as individual learners and members of a learning community   Lesson 2: Representing And Analyzing Large And Small Numbers Part A: Doubling Population Describe quantities in the millions and billions Use data to estimate a doubling time Compare and contrast growth via doubling times Part B: Scientific Notation Represent large and small numbers in scientific notation Convert numbers from scientific notation to standard notation Part C: Ratios in Water Use Recognize when it is appropriate to express a ratio as a percentage Calculate ratios of large numbers Estimate ratios of large numbers Part D: Analyzing Water Footprints Write and interpret numbers in scientific notation Perform operations with scientific notation using a calculator   Lesson 3: Estimation And Percentages Part A: Large Numbers in the Media Evaluate reasonableness Rewrite quantitative statements to improve clarity Part B: Seeking Help Identify when they need to ask for help Part C: Estimating Sale Prices Use a few standard benchmarks to estimate percentages (i.e., 1%, 10%, 25%, 33%, 50%, 66%, 75%) Estimate the percent of a number, including situations involving percentages less than one Part D: Calculating Sale Prices Determine when an estimate or an exact calculation is appropriate Calculate the percent one number is of another Calculate the percent of a number, including situations involving percentages less than one Part E: Developing Self-Regulation Evaluate the accuracy of your self-assessment to this point Make a plan to continue to improve your self-assessment and use it to regulate your learning   Lesson 4: Utilizing Charts And Spreadsheets Part A: Budgeting Operations Write a calculation in at least two different ways based on equivalent forms of fractions/decimals Write a calculation in at least two different ways based on relationship of multiplication and division Write a calculation in at least two different ways based on properties and order of operations Part B: Budgeting with Spreadsheets Apply mathematical knowledge about properties and operations in using spreadsheet technology Part C: Graph Analysis Calculate absolute and relative change from a line graph Part D: Using Graphs to Understand Change Estimate the absolute size of the portions of a pie chart if given the base value Use data displayed on two graphs to estimate a third quantity   Lesson 5: Displaying Data Part A: Displaying Table Data Read a stem-and-leaf plot and a back-to-back plot Identify important features of a stem-and-leaf plot Part B: Relative Frequency Tables Choose appropriate bin size and sort data into bins Report frequencies and relative frequencies Part C: Displaying Data: Histograms Analyze histograms Create a histogram from a frequency table Part D: Shapes of Distributions Analyze dotplots Describe the shape of distributions   Lesson 6: Statistical Summaries Part A: Measures of Central Tendency Compare the mean and median from the shape of a distribution Create a data set that meets certain criteria for measures of central tendency Part B: Brain Power Identify how the growth view of intelligence relates to learning math Part C: Making Decisions with Data Use data to make informed decisions Identify the mean, median, or mode in contextual problems Match data sets with appropriate statistics Part D: Boxplots Analyze boxplots Interpret the mean, median, or mode in terms of the context of the problem   Lesson 7: Applying Numeracy Skills To Financial Situations Part A: The Credit Crunch Apply quantitative reasoning and math skills in various contexts Part B: More Credit Crunch Apply skills and concepts from previous lessons in new contexts Interpret a numerical expression in context Write a spreadsheet formula to compute interest Part C: A Taxing Situation Perform multi-step calculations using information from a real-world source Rewrite multi-step calculations as a single expression Part D: A Taxing Situation (Continued) Generate an algorithm for performing multi-step calculations Explain the meaning of a calculation within a context   Lesson 8: Assessing Risk Part A: What’s the Risk? Express and interpret ratios in non-standard forms (i.e., 1 out of 20) and standard forms, such as percentages and natural frequencies out of multiples of 10 Identify missing information needed to calculate risk Part B: An Apple a Day Identify major factors in determining risks of disease Make quantitative comparisons between data Write a statement that interprets data from a table using multiple categories Part C: Reducing the Risk Create graphs that show absolute change calculated from a rate Compute absolute changes Part D: Is Reducing the Risk Worth It? Create graphs that show both absolute and relative changes in a rate (percent) Compute absolute and relative changes   Lesson 9: Reasoning With Probabilities Part A: Comparing Categorical Data Correctly identify the quantities involved in a verbal statement about percentages based on specific data Calculate percentages and convert from a decimal representation to a percent Read and use information presented in a two-way table Part B: Interpreting Percentages Correctly identify variable quantities involved in a general verbal statement about percentages Part C: Do You Trust the Test? Extract relevant information from a two-way table Select the appropriate values to calculate probabilities Part D: Do You Trust the Test? (Continued) Calculate probabilities from information given in a two-way table Calculate and interpret probabilities of errors: percent of positive results that are false positives and percent negative results that are false negatives   Lesson 10: Reasoning With Ratios And Proportions Part A: Population Density Calculate population density as a unit rate Compare and contrast populations using their population densities Part B: Density Proportions Calculate population densities Calculate population density proportions from density ratios Solve a proportion by first finding a unit rate and then multiplying appropriately Part C: State Population Densities (Optional) Estimate between which two powers of 10 a quotient of large numbers lies Use unit rates to estimate population Part D: Apportionment Calculate a relative change Explain the difference between a relative change and absolute change   Lesson 11: Geometric Reasoning Part A: Formulating a Plan Use formulas from geometry Evaluate an expression in a geometric formula   Part B: The Costs of Geometry Perform calculations that involve rates and measures to support financial decisions Solve complex problems requiring multiple pieces of information and steps Evaluate an expression involving estimating cost Part C: Modifying and Combining Formulas Use formulas from geometry and perform calculations that involve rates and measures to support financial decisions Write an expression to solve a problem involving estimating cost   Lesson 12: Dimensional Analysis Part A: Texting Distance Use units to determine which conversion factors are needed for dimensional analysis Use a conversion factor to convert a rate Part B: The Cost of Driving Write a rate as a fraction Use a unit factor to convert a rate Use dimensional analysis to help determine the factors in a series of operations to obtain an equivalent measure Part C: The True Cost of Driving Organize multiple pieces of information and steps involved in complex problems Part D: Can the True Cost Vary? Use variables to analyze multiple pieces of information and steps involved in complex problems Investigate how changing certain values can affect the result of a calculation   Lesson 13: Analyzing Formulas Part A: Algebra Reaction (Optional) Evaluate an expression involving a square root Part B: Breaking Down a Formula Evaluate a rational expression Part C: Analyzing Change in Variables Establish a strategy to explore the pattern of changes in one variable of an expression while holding other variables fixed Part D: Analyzing Change in Variables (Continued) Informally describe the change in one variable as another variable changes   Lesson 14: Applying Formulas Part A: Body Mass Index Explicitly write out the order of operations to evaluate a given formula involving multiplication and division Part B: Target Weight Solve for a variable in an equation involving only multiplication and division Explicitly write out the order of operations to solve a given equation involving multiplication and division Part C: Blood Alcohol Content Explicitly write out the order of operations to evaluate a given formula involving multiplication, addition, and division. Part D: Balancing Blood Alcohol Solve for a variable in an equation Explicitly write out the order of operations to solve a given equation involving multiplication, addition, and division.   Lesson 15: Proportional Reasoning Part A: Proportional Reasoning in Art Set up a proportion based on a contextual situation Solve a proportion   Part B: Proportion Solutions Set up a proportion to solve a scaling problem Solve a proportion using algebraic methods   Part C: Solving Equations Solve equations that require simplification before solving Solve for a variable in terms of other variables Part D: More Work with Equations (Optional) Solve equations in a variety of forms, such as simple quadratic equations (by square root function) and simple cubic equations (by cube root function) Recognize when they do not have enough tools to solve an equation Part E: Proportional Viewing (Optional) Set up a proportion to solve an aspect ratio problem   Lesson 16: Creating Linear Models Part A: Describing Rates Calculate slope in direct variation situations Express slope with appropriate units Interpret slope in a problem situation Part B: Comparing Rates Compare slopes in a problem situation using appropriate units Part C: Interpreting Change Calculate slope from two points in a linear relationship Part D: Where Do We Start? Determine the y-intercept in a linear relationship Determine the equation of a linear relationship Part E: Predicting Costs Calculate the y-intercept of any linear relationship given two points Write an equation that represents a linear relationship given two data points Use the linear equation to make predictions