# Quantitative Reasoning

Course Content from zyBooks

This course teaches students the practical application of calculations in everyday life, such as decision-making, saving money, estimating, understanding media reports, etc. This course is designed to make math approachable for all learners and not only those planning to be mathematicians or engineers. This course helps students gain confidence in their mathematical abilities while supplying them with the essentials to navigate math in their daily life.

• Self Paced
• Mathematics
• Content by zyBooks
Online Course
Quantitative Reasoning   +\$99.00
Tutoring (included)
Proctoring
Proctoring   +\$0.00
Credits 3

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Course Objectives

After completing this course, students will be able to:

• Solve problems based on various operations on numbers, fractions, decimals, and percents
• Apply the unit conversion rules to solve the problems based on unit conversions
• Solve problems based on perimeter, area, and volume of various shapes
• Apply estimation techniques in 1, 2, and 3 dimensions
• Solve equations with an unknown value
• Construct and solve equations involving x
• Solve problems based on rate and comparison involving x
• Apply mathematics to everyday problems based on personal finances, health, utilities, and investments
• Interpret tables and graphs for linear functions and piecewise linear functions
• Sketch the graph using slope and intercept
• Utilize various formulas in the spreadsheet
• Construct bar charts and pie charts in spreadsheet
• Interpret true-false statements, and if-then statements
• Solve problems based on logical operators AND/OR/NOT, sets, and Venn diagrams
• Interpret the statements using logical deduction and logical induction
• Solve problems involving averages, median, spread, and margins of error
• Compare between averages of two subpopulations
• Solve problems using counting methods
• Apply addition and multiplication rules of probabilities
• Solve expected value problems
• Identify domain, and range of functions
• Show behavior of graphs
• Solve problems based on rates of change
• Apply composition, transformation, and inverse operations to the functions
• Sketch the graphs of linear functions
• Apply linear models to data
• Sketch the graphs of exponential, and logarithmic functions
• Solve problems based on exponential and logarithmic equations
• Apply exponential models to data
• Solve ranked choice voting problems
• Interpret winners based on different types of voting
• Apply apportionment paradoxes to election results
• Predict presidents in electoral college problems
 Topic Topic Title Subtopics Objectives 1 Numbers in Everyday Life Numbers Addition Subtraction Multiplication Division Fractions Reducing and expanding fractions Adding and multiplying fractions Fractions and decimal numbers Percents Solve problems based on various operations on numbers, fractions, decimals, and percents 2 Solving Everyday Problems Comparisons Times more/ % increase Ratios Rates Unit conversion problems Unit conversion examples Apply the unit conversion rules to solve the problems based on unit conversions 3 Problem Solving with Shapes Perimeter Area Volume Estimating in 1, 2, and 3 dimensions Angles Solve problems based on perimeter, area, and volume of various shapes Apply estimation techniques in 1, 2, and 3 dimensions 4 Basic Algebra Equations with an unknown value Solving for x Creating equations with x Solving for x mentally Rate and comparison problems with x Solve equations with an unknown value Construct and solve equations involving x Solve problems based on rate and comparison involving x 5 Everyday Math Examples Personal finance Health Utilities and phone Electricity Investing: stocks and bonds Apply mathematics to everyday problems based on personal finances, health, utilities, and investments 6 Tables, Graphs, and Functions Introduction to functions Function examples Linear functions Linear function examples Graphing via slope and intercept Piecewise linear functions Interpret tables and graphs for linear functions and piecewise linear functions Sketch the graph using slope and intercept 7 Spreadsheets Tables and spreadsheets Spreadsheets and formulas Exploring with formulas Spreadsheets and graphing Bar charts Spreadsheets and bar charts Spreadsheets and pie charts Midterm Utilize various formulas in the spreadsheet Construct bar charts and pie charts in spreadsheet Prepare for and take the Midterm Exam 8 Logic and Sets True/false statements If-then statements Logical deduction If-then statements whose reverse is correct Common logical deduction mistakes Logic: AND/OR AND/OR/NOT logic examples Common applications of logic logical induction Sets and venn diagrams Take the Midterm Exam Interpret true-false statements, and if-then statements  Solve problems based on logical operators AND/OR/NOT, sets, and Venn diagrams Interpret the statements using logical deduction and logical induction 9 Statistics Averages Median Spread Estimates/Margins of error Margin of error examples Comparing averages of two subpopulations Solve problems involving averages, median, spread, and margins of error Compare between averages of two subpopulations 10 Probability Counting Probability Odds and percent chance Adding and multiplying probabilities Expected values Solve problems using counting methods Apply addition and multiplication rules of probabilities Solve expected value problems 11 Functions Functions and function notation Domain and range Rates of change and behavior of graphs Composition of functions Transformation of functions Absolute value functions Inverse functions Identify domain, and range of functions Show behavior of graphs  Solve problems based on rates of change Apply composition, transformation, and inverse operations to the functions 12 Linear Functions Linear functions graphs of linear functions modeling with linear functions fitting linear models to data Sketch the graphs of linear functions Apply linear models to data 13 Exponential and Logarithmic Functions Exponential functions graphs of exponential functions logarithmic functions graphs of logarithmic functions logarithmic properties exponential and logarithmic equations exponential and logarithmic models fitting exponential models to data Sketch the graphs of exponential, and logarithmic functions Solve problems based on exponential and logarithmic equations Apply exponential models to data 14 Voting and Apportionment Voting Ranked choice voting Fair division Apportionment Apportionment in politics Apportionment paradoxes U.S. Electoral College Solve ranked choice voting problems Interpret winners based on different types of voting Apply apportionment paradoxes to election results Predict presidents in electoral college problems 14 Final Exam Final Exam Prepare for and take the final exam

There are no prerequisites for this course.

This course does not require a text.

StraighterLine provides a percentage score and letter grade for each course. A passing percentage is 70% or higher.

If you have chosen a Partner College to award credit for this course, your final grade will be based upon that college's grading scale. Only passing scores will be considered by Partner Colleges for an award of credit. There are a total of 1000 points in the course:

 Topic Assessment Points Available 1 Chapter 1 40 2 Chapter 2 40 3 Chapter 3 40 4 Chapter 4 40 5 Chapter 5 40 6 Chapter 6 40 7 Chapter 7 40 7 Midterm Exam 140 8 Chapter 8 40 9 Chapter 9 40 10 Chapter 10 40 11 Chapter 11 40 12 Chapter 12 40 13 Chapter 13 40 14 Chapter 14 40 15 Final Exam 300 Total 1000

Final Proctored Exam

The final exam is developed to assess the knowledge you learned taking this course. All students are required to take an online proctored final exam in order complete the course and be eligible for transfer credit.