MASTER SYLLABUS

2020-2021

A.	Academic Division: Liberal Arts

B.	Discipline: Mathematics

C.	Course Number and Title: MATH0075 Foundations of Mathematical Reasoning

D.	Course Coordinator: Christine Shearer

Assistant Dean: Dr. Steven Haynes

Instructor Information:

Name:	Click here to enter text.

Office Location:	Click here to enter text.

Office Hours:	Click here to enter text.

Phone Number:	Click here to enter text.

E-Mail Address	Click here to enter text.

E.	Credit Hours: 3

F.	Prerequisites:	Qualifying placement test score

OR

Co-requisites:	MATH0030

G.	Syllabus Effective Date: Fall, 2020

H.	Textbook(s) Title: Student In-Class Notebook: MyMathLab for Foundations of Mathematical Reasoning

Authors: Charles A. Dana Center – The University of Texas at Austin

Copyright Year: 2016

Edition: N/A

ISBN: 978-0-13-446748-1

Workbook(s) and/or Lab Manual:

J.	Course Description: Foundations of Mathematical Reasoning is a quantitative literacy course designed to provide students with the skills and conceptual understanding to succeed in a college-level statistics course.

Foundations of Mathematical Reasoning is organized around big mathematical and statistical ideas. The course will help students develop conceptual understanding and acquire multiple strategies for solving problems. The course will prepare students for success in future courses and will help them develop skills for the workplace and as productive citizens.

K.	College-Wide Learning Outcomes:

College-Wide Learning Outcome	Assessments - - How it is met & When it is met
Communication – Written
Communication – Speech
Intercultural Knowledge and Competence
Critical Thinking
Information Literacy
Quantitative Literacy

L.	Course Outcomes and Assessment Methods:

Upon successful completion of this course, the student shall:

Outcomes	Assessments – How it is met & When it is met
1. Represent large numbers in various ways. Scale measurements. Convert between units of measure.	Practice Assignments – Week 1 Test 1 – Week 4 Final Exam – Week 16
2. Use data to estimate doubling time. Compare and contrast growth via doubling times. Convert between scientific notation and standard notation. Recognize when it is appropriate to express a ratio as a percentage. Calculate and estimate ratios of large numbers.	Preview Assignments – Week 1 Practice Assignments – Week 1 Test 1 – Week 4 Final Exam – Week 16
3. Evaluate reasonableness of statements in the media. Rewrite statements to improve clarity. Estimate and calculate percentages. Determine when an estimate or an exact calculation is appropriate.	Preview Assignments – Weeks 1 and 2 Practice Assignments – Week 2 Test 1 – Week 4 Final Exam – Week 16
4. Write a calculation in different ways. Apply mathematical properties and operations in using spreadsheet technology. Calculate absolute and relative change from a line graph. Interpret information from pie charts.	Preview Assignments – Weeks 2 and 3 Practice Assignments – Weeks 2 and 3 Test 1 – Week 4 Final Exam – Week 16
5. Compare mean and median from the shape of a distribution.	Preview Assignment – Week 3 Practice Assignment – Week 3 Test 1 – Week 4 Final Exam – Week 16
6. Apply skills and concepts to consumer credit. Use spreadsheets to compute credit card interest. Perform and rewrite multi-step calculations using information from a real-world source.	Preview Assignments – Weeks 3 and 4 Practice Assignments – Weeks 3 and 4 Test 1 – Week 4 Final Exam – Week 16
7. Express and interpret ratios in non-standard and standard forms. Make quantitative comparisons between data. Create graphs that show absolute change calculated from a rate. Compute absolute changes. Create graphs that show relative changes in a rate. Compute relative changes.	Preview Assignments – Weeks 4 and 5 Practice Assignments – Week 5 Test 2 – Week 8 Final Exam – Week 16
8. Calculate percentages and convert from a decimal representation to a percent. Correctly identify the quantities involved in a general verbal statement about percentages. Extract relevant information from a two-way table. Select the appropriate values to compute probabilities. Calculate and interpret probabilities of errors.	Preview Assignments – Weeks 5 and 6 Practice Assignments – Weeks 5 and 6 Test 2 – Week 8 Final Exam – Week 16
9. Calculate a unit rate. Compare and contrast populations using their population densities. Calculate population densities. Calculate population density proportions from density ratios. Solve a proportion by first finding a unit rate and then multiplying appropriately. Calculate a unit rate. Explain the difference between a relative change and an absolute change.	Preview Assignments – Weeks 6 and 7 Practice Assignments – Weeks 6 and 7 Test 2 – Week 8 Final Exam – Week 16
10. Solve complex problems requiring multiple pieces of information and steps. Use formulas from geometry and perform calculations that involve rates and measures to support financial decisions. Evaluate an expression.	Preview Assignments – Weeks 7 and 8 Practice Assignments – Weeks 7 and 8 Test 2 – Week 8 Final Exam – Week 16
11. Use units to determine which conversion factors are needed for dimensional analysis. Use a conversion factor to convert a rate. Write a rate as a fraction. Use a unit factor to convert a rate.	Preview Assignments – Weeks 8 and 9 Practice Assignments – Week 9 Test 3 – Week 12 Final Exam – Week 16
12. Evaluate an expression involving a square root. Identify a sequence of calculations defined by an equation. Evaluate a rational expression. Establish a strategy to explore the pattern of changes in one variable while holding other variables fixed.	Preview Assignments – Weeks 9 and 10 Practice Assignments – Week 10 Test 3 – Week 12 Final Exam – Week 16
13. Explicitly write out the order of operations to evaluate a given formula. Solve for a variable in an equation. Determine the effect of a variable on the size of an expression based on its location.	Preview Assignments – Weeks 10 and 11 Practice Assignments – Week 11 Test 3 – Week 12 Final Exam – Week 16
14. Set up and solve a proportion based on a contextual situation. Solve a proportion using algebraic methods. Solve equations that require simplification before solving. Solve for a variable in terms of other variables. Solve quadratic equations. Set up a proportion based on a contextual situation.	Preview Assignments – Weeks 12 and 13 Practice Assignments – Week 13 Final Exam – Week 16
15. Calculate slope in direct variation situations. Express slope with appropriate units. Interpret slope in a problem situation. Compare slopes in a problem situation. Calculate slope from two data points in a linear relationship. Determine the y-intercept and equation of a linear relationship. 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.	Preview Assignments – Weeks 13 and 14 Practice Assignments – Week 14 Final Exam – Week 16
16. Express linear relationships in multiple forms. Identify appropriate use of each form of linear relationships. Compare two relationships. Translate between representations of a line. Make decisions based on different forms of linear equations. Identify approximately linear data. Write a linear equation to model approximately linear data.	Preview Assignments – Weeks 14 and 15 Practice Assignments – Week 15 Final Exam – Week 16
17. Write and interpret an expression that models a percentage increase or decrease.	Preview Assignments – Week 15 Practice Assignments – Week 15 Final Exam – Week 16

M.	Topical Timeline (Subject to Change):

1. Numeracy

2. Proportional Reasoning

3. Algebraic Competence, Reasoning and Modeling

4. Probabilistic Reasoning to Assess Risk

5. Quantitative Reasoning in Personal Finance

6. Quantitative Reasoning in Civic Life

Week	Day 1 Topic Covered in Class	Day 1 Homework Assigned	Day 2 Topic Covered in Class	Day 2 Homework Assigned
Week 1	Syllabus Part 1.A, C	Part 1.A, C Practice Part 2.A, B, C, D Preview	Part 2.A, B, C, D	Part 2.A, B, C, D Practice Part 3.A, C, D Preview
Week 2	Part 3.A, C, D	Part 3.A, C, D Practice Part 4.A, B Preview	Part 4.A, B	Part 4.A, B Practice Part 4.C, D Preview
Week 3	Part 4.C, D	Part 4.C, D Practice Part 6.A, 7.A, B Preview	Part 6.A Part 7.A, B	Part 6.A, 7.A, B Practice Part 7.C, D Preview
Week 4	Part 7.C, D Review	Part 7.C, D Practice	Test 1 Parts 1 – 4, 6, 7	Part 8.A, B, C, D Preview
Week 5	Part 8.A, B, C, D	Part 8.A, B, C, D Practice Part 9.A, B Preview	Part 9.A, B	Part 9.A, B Practice Part 9.C, D Preview
Week 6	Part 9.C, D	Part 9.C, D Practice Part 10.A, B Preview	Part 10.A, B	Part 10.A, B Practice Part 10.C, D Preview
Week 7	Part 10.C, D	Part 10.C, D Practice Part 11.A, B Preview	Part 11.A, B	Part 11.A, B Practice Part 11.C, D Preview
Week 8	Part 11.C, D Review	Part 11.C, D Practice	Test 2 Parts 8 – 11	Part 12.A, B Preview
Week 9	Part 12.A, B	Part 12.A, B Practice Part 12.C, D Preview	Part 12.C, D	Part 12.C, D Practice Part 13.A, B Preview
Week 10	Part 13.A, B	Part 13.A, B Practice Part 13.C, D Preview	Part 13.C, D	Part 13.C, D Practice Part 14.A, B Preview
Week 11	Part 14.A, B	Part 14.A, B Practice Part 14.C, D Preview	Part 14.C, D	Part 14.C, D Practice
Week 12	Review	Test 3 Parts 12 – 14	Part 15.A, B, C Preview
Week 13	Part 15.A, B, C	Part 15.A, B, C Practice Part 15.D, E Preview	Part 15. D, E	Part 15.D, E Practice Part 16.A, B, C Preview
Week 14	Part 16.A, B, C	Part 16.A, B, C Practice Part 16.D, E Preview	Part 16. D, E	Part 16.D, E Practice Part 17.A, B, C Preview
Week 15	Part 17.A, B, C	Part 17.A, B, C Practice Part 17.D, 18.A Preview	Part 17.D Part 18.A	Part 17.D, 18.A Practice
Week 16	Review	Final Exam

N.	Course Assignments:

1. Preview Assignments – MyMathLab

2. Practice Assignments – MyMathLab

3. 3 Tests – In-class

4. Final Exam

O.	Recommended Grading Scale:

NUMERIC	GRADE	POINTS	DEFINITION
93–100	A	4.00	Superior
90–92	A-	3.67	Superior
87–89	B+	3.33	Above Average
83–86	B	3.00	Above Average
80–82	B-	2.67	Above Average
77–79	C+	2.33	Average
73–76	C	2.00	Average
70-72	C-	1.67	Below Average
67–69	D+	1.33	Below Average
63-66	D	1.00	Below Average
60-62	D-	0.67	Poor
00--59	F	0.00	Failure

P.	Grading and Testing Guidelines:

1. Preview Assignments – MyMathLab	10%

2. Practice Assignments – MyMathLab	20%

3. Tests – In-class	45%

4. Final Exam	25%

Q.	Examination Policy:

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R.	Class Attendance and Homework Make-Up Policy:

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S.	Classroom Expectations:

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T.	College Procedures/Policies:

Important information regarding College Procedures and Policies can be found on the syllabus supplement located at

http://catalog.ncstatecollege.edu/mime/download.pdf?catoid=5&ftype=2&foid=3