May 27, 2024  
2023-2024 College Catalog and Student Handbook 
2023-2024 College Catalog and Student Handbook


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MATH 0030 - Foundations of Mathematical Reasoning Lab

1 Credit(s)
Students in MATH 0075   Foundations of Mathematical Reasoning will complete preview assignments prior to coming to class.  These reviews will prepare them to successfully engage with the in-class activities.  Students in the MATH0030 lab will complete worksheets during class that will enable them to go home and successfully complete the preview assignment for MATH 0075   on their own. UG
2 Lab Hour(s)
Required Concurrent Course(s): MATH 0075  

College Wide 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  


Student Learning Outcomes for Course
Outcomes Assessments – How it is met & When it is met

1. Analyze the base-ten place value system. Perform basic unit conversion with the U.S. customary system.

In-Class Activity – Week 1, Day 1

2. Investigate signed numbers. Double numbers. Translate number-word combinations. Compare large numbers. Round numbers. Represent numbers in scientific notation and convert back to standard notation. Write and estimate ratios. Write unit rates. Convert fractions to decimals and percentages.

In-Class Activity – Week 1, Day 1

3. Compare ways of presenting numerical data. Identify misinformation presented in the media. Convert percentages to fractions and decimals. Analyze misconceptions about percentages.

In-Class Activity – Week 1, Day 2

4. Read pie charts. Use order of operations and pie charts to develop a budget. Read data tables. Use spreadsheet formulas to support algebraic reasoning.

In-Class Activity – Week 2, Day 1

5. Read line graphs. Identify misleading scale. Identify relative change over time. Read bar graphs. Compare size and make estimations using graphical data.

In-Class Activity – Week 2, Day 2

6. Calculate mean, median and mode. Draw conclusions from statistical summaries. Create data sets to meet criteria. Use reading strategies for financial information. Practice scientific notation, percentages and averages. Estimate and calculate credit card interest

In-Class Activity – Week 3, Day 1

7. Analyze profit, return on investment, gross and net earnings and taxes. Complete tax forms. Calculate profit and quarterly taxes. Convert tax instructions into mathematical expressions.

In-Class Activity – Week 3, Day 2

8. Convert fractions and decimals. Calculate a percent of a percent. Analyze absolute and relative measures of risk. Compare fraction and decimal forms. Calculate percentages of large values. Evaluate measures of risk. Calculate probability, chance and likelihood. Interpret percentages relate3d to a risk reduction scenario. Apply probability and percentages to contexts. Calculate absolute and relative change.

In-Class Activity – Week 4, Day 2

9. Complete two-way tables. Use two-way tables to calculate percentages. Recognize the base of a percentage. Compare percentages. Interpret percentages and visual representations of data. Analyze abstract information.

In-Class Activity – Week 5, Day 1

10. Determine percentages from two-way tables. Analyze accuracy in test results presented in two-way tables. Interpret false-positive and false-negative results from two-way tables.

In-Class Activity – Week 5, Day 2

11. Calculate population densities as unit rates. Interpret ratios, unit rates and proportional reasoning in the context of population density. Perform dimensional analysis involving units of area. Scale shapes.

In-Class Activity – Week 6, Day 1

12. Multiply and divide by powers of ten. Use estimate strategies to determine population density. Calculate trade balance and absolute and relative change. Analyze apportionment and the effect of relative change on representation.

In-Class Activity – Week 6, Day 2

13. Calculate the area and perimeter of rectangles, parallelograms and triangles. Evaluate expressions and formulas from geometry. Perform area and perimeter calculations with dimensional analysis. Use multi-step problem solving involving rates and measures to support financial decisions.

In-Class Activity – Week 7, Day 1

12. Calculate volume of rectangular prisms andcylinders. Perform calculations that involve rates and measures to support financial decisions.

In-Class Activity – Week 7, Day 2

13. Create conversion factors. Perform dimensional analysis. Write conversion factors and perform dimensional analysis. Compare two unit rates.

In-Class Activity – Week 8, Day 2

14. Apply dimensional analysis to contextual situations. Solve problems with multiple pieces of information and multiple steps. Use dimensional analysis to calculate future values in a contextual situation. Generalize a concrete example to abstract analysis of a system.

In-Class Activity – Week 9, Day 1

15. Square values. Evaluate square roots. Evaluate the order of operations with powers and radicals. Evaluate complicated unfamiliar formulas involving square roots. Simplify an expression involving units using correct order of operations. Apply a complicated formula involving a rational expression.

In-Class Activity – Week 9, Day 2

16. Analyze the effect of changing values of one variable while other variables remain fixed in a formula.

In-Class Activity – Week 10, Day 1

17. Identify equivalent equations. Evaluate and record a sequence of steps when solving equations. Use equivalent equations to solve one-step equations. Define the Cartesian plane. Reversing steps to find an input given an output of an equation.

In-Class Activity – Week 10, Day 2

18. Evaluate an expression and reverse the sequence of steps to solve a corresponding equation. Solve multi- step equations. Plot points on the Cartesian plane. Reverse steps to find an input given an output of an equation.

In-Class Activity – Week 11, Day 1

19. Identify proportional and similar shapes. Calculate measurement error. Determine whether proportions are equivalent. Solve proportions. Solve equations using the distributive property and combining like terms. Solve formulas for a variable.

In-Class Activity – Week 12, Day 2

20. Solve equations that have variables on both sides. Apply proportions to similar triangles and scaling problems.

In-Class Activity – Week 13, Day 1

21. Write units rates. Identify the slope of a line. Compare slopes. Compare and contrast rates as slopes. Calculate slope from any two points.

In-Class Activity – Week 13, Day 2

22. Find vertical and horizontal intercepts. Calculate the y-intercept by extrapolation from a table of values or a graph. Use the slope-intercept form of a line to write the equation of a line. Calculate the y-intercept.

In-Class Activity – Week 14, Day 1

23. Use graphs, tables and algebraic and verbal representations to interpret the intersection of two lines in context. Make decisions using multiple representations of data. Draw trend lines. Graph scatterplots.

In-Class Activity – Week 14, Day 2

24. Interpolate and extrapolate using trend lines. Write algebraic expressions for percentage increase and decrease. Develop spreadsheet formulas for product markups and discounts.

In-Class Activity – Week 15, Day 1


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