Course Description
This course presents arithmetic, algebra, geometry and trigonometry content focused on applications used in technical disciplines. Topics include fundamental operations with real numbers, measurement, formulas, ratio and proportions, plane and solid geometry, right triangle trigonometry and interpretation of graphs and charts. AAS: Mathematics elective.
At the end of this course, students will be able to:
- Perform operations with real numbers in order to calculate quantities in formulas and use results to analyze reasonableness of answers.
- Apply geometric principles to the solution of problems as appropriate.
- Use the Pythagorean Theorem to solve right triangle applications.
- Apply basic trigonometric ratios to solve right triangle applications.
- Summarize mathematical data using mean, median, and mode.
- Read, interpret and draw conclusions based on data.
- Analyze proportional relationships and use them to solve contextualized problems.
- Analyze solutions to equations and formulas, and give them contextual meaning.
- Use tools to find accurate measurements in both the standard and metric measurement systems.
- Perform unit conversions in both the standard and metric systems.
- Develop and solve linear equations and inequalities in one variable for technical problems.
- Apply appropriate formulas to solve applications.
General Education Distribution Area
Mathematics
Topical Outline
1. Arithmetic of Whole Numbers
a. Rounding, Addition, Subtraction, Multiplication & Division of Whole Numbers
b. Order of Operations
2. Fractions
a. Addition, Subtraction, Multiplication & Division of Fractions
3. Decimal Numbers
a. Addition, Subtraction, Multiplication & Division of Decimal Numbers
4. Ratio, Proportion and Percent
a. Applications of Ratio, Proportion and Percent
5. Measurement
a. Unit and Metric Conversions
b. Metric Units
c. Direct Measurements
6. Pre-Algebra
a. Addition, Subtraction, Multiplication & Division of Signed Numbers
b. Exponents and Roots
7. Basic Algebra
a. Formulas
b. Addition, Subtraction, Multiplication & Division of Algebraic Expressions
c. Solving Simple and Two-Operation Equations
d. Word Problems
e. Scientific Notation
8. Practical Plane Geometry
a. Angle Measurement
b. Perimeter & Area of Polygons, Quadrilaterals, and Triangles
c. Circles
9. Solid Figures
a. Prisms, Pyramids, Cylinders, Spheres & Cones
10. Triangle Trigonometry
a. Angles
b. Trigonometric Ratios
c. Solving Right and Oblique Triangles
11. Intermediate Algebra
a. Systems of Equations
b. Quadratic Equations
12. Statistics
a. Reading and Constructing Graphs
b. Measure of Central Tendency