MAT 772 - Applied Math

Credits: 3
Lecture Hours: 3
Lab Hours: 0
Practicum Hours: 0
Work Experience: 0
Course Type: Voc/Tech

1. Utilize numbers in a variety of equivalent forms
   1. Read integers, fractions, and decimals
   2. Find common denominators
   3. List equivalent fractions
   4. Complete conversions between fractions and mixed numbers
   5. Convert between fractions and decimals
   6. Perform conversions between mixed numbers and decimals
   7. Demonstrate conversions between fractions and decimals and percentages
2. Compute with integers, fractions, and decimals in real-world and mathematical solving
   1. Apply the four arithmetic operations (add, subtract, multiply, and divide) to integers with and without a calculator
   2. Add and subtract fractions and mixed numbers without a calculator
   3. Apply the four arithmetic operations to decimals with and without a calculator
   4. Use the four arithmetic operations with fractions and mixed numbers with a calculator
   5. Calculate ratios
   6. Apply proportional thinking to real-world problems with up to 3 units
   7. Use exponential notation in computation
   8. Interpret numbers in scientific notation
3. Choose computational techniques appropriate to specific problems
   1. Model real-world problems
   2. Calculate a solution to real-world problems and interpret the answer
   3. Report rounded answers and label when necessary
   4. Solve real-world problems involving percentages
   5. Solve two-step algebra problems
4. Evaluate whether an answer is reasonable
   1. Estimate an answer
   2. Determine the reasonableness of the answer
5. Identify basic geometric figures
   1. Name two dimensional figures and parts 
   2. Identify three dimensional figures and their parts
6. Evaluate geometric properties and relationships in real-world and mathematical problem solving
   1. Apply right triangles using the Pythagorean theorem in real-world problems
   2. Use similarity in solving real-world problems
   3. Use a protractor to measure angles
   4. Calculate the measure of an angle in degrees
   5. Use formulas for geometric figures
   6. Apply appropriate formulas for basic geometric shapes to solve problems involving complex figures
7. Compare measurements using the Metric and English systems
   1. Identify the units in the English and Metric systems
   2. Understand relative sizes of units within the English and Metric system
   3. Convert within the English and metric system
   4. Convert between the metric and English systems
   5. Convert measurements for dimensional figures (perimeter, area, volume)
8. Determine appropriate units and tools to make measurements in real-life situations
   1. Calculate answers to the correct degree of precision
   2. Calculate answers to the correct degree of accuracy
   3. Compute the greatest possible error
   4. Calculate relative error and percent error
   5. Demonstrate measurement using Metric and English tape measures
   6. Find the tolerance allowed for measurements
   7. Apply accuracy and precision to real-world problems
9. Evaluate scales to the degree of accuracy required in a particular situation
   1. Interpret circular scales
   2. Interpret uniform scales
10. Evaluate Data
    1. Interpret pie charts, bar charts, line graphs, and pictographs
    2. Compute measures of center
    3. Interpret measures of center

 
Competencies Revised Date: AY2023