Quantitative Reasoning

Course Content from zyBooks
Course Number: MAT102 Download Course Syllabus

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.

There is no text for this course. All materials are included in the course fee.

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.

Learn more about Proctored Exams

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