**Delivery: **Online

**College Credit: **4 credit hours

**Estimated Length: **60 seat hours **Price:** $1,355.00

Technical Mathematics covers material designed for career technical or general studies for students who need to study particular mathematical topics. Topics will include measurement, algebra, geometry, trigonometry, graphs and finance. These are presented on an introductory level and the emphasis is on applications.

IMPORTANT: Please visit the **College Hub** for course start and end dates.

**Please note**: Prices are set by Arapahoe Community College and are subject to change. In the event of a discrepancy between the price shown here and the price charged during a given semester, the current semester price will prevail. For questions about pricing and participation in the college program, please call our Care team at 866.575.7206 or email customercare@ncti.com.

**Delivery:**

Learning takes place with an instructor in an online classroom and will include homework activities and weekly assignments.

### Completion Time

This is a 10-week accelerated course which will require weekly assignments and periodic online communication with an instructor. Visit link above for course start and end dates. Please note, this course is not eligible for extensions.

### Benefits:

- simplify numerical and algebraic expressions
- use algebra, geometry, trigonometry and statistical methods to solve simple and multi-step problems
- convert a given measurement to another specified equivalent using conversion factors
- calculate costs and analyze data to solve simple and compound finance problems
- use a normal distribution to find probabilities, read and interpret statistical graphs
- earn four hours of college credit
- receive an industry-recognized NCTI certificate of graduation

### Upon completing this course, students will be able to:

- ratios, proportions and percents
- units of measure
- signed numbers
- powers of ten and scientific notation
- algebraic operations, equations and formulas
- systems of equations
- angles, triangles, circles and polygons
- geometric solids
- sin, cos and tan
- vectors
- finance
- graphs
- logarithms
- statistics

### Outline:

###### Ratios, Proportions and Percents

Write a comparison of two numbers as a ratio, write a ratio as a fraction, decimal numeral or unit ratio, solve a proportion, recognize/set up/ solve direct and indirect proportion applications, convert among fractions, decimals and percents and solve rate/base/percentage problems

###### Units of Measure

Identify significant digits, identify which of two numbers is more accurate or precise, round numbers to the accuracy or precision required and use dimensional analysis

###### Signed Numbers

Use rules of operations on signed numbers, find powers/roots of signed numbers and use order of operation

###### Powers of Ten and Scientific Notation

Convert to/from scientific notation, multiply/ divide powers of ten and numbers in scientific notation

###### Algebraic Operations

Recognize/add/subtract like terms, multiply/ divide monomials and use the distributive law

###### Algebraic Equations and Formulas

Solve and check linear equations, including those containing grouping symbols and fractions and evaluate/solve formulas

###### Systems of Equations

Solve systems of equations in two variables by substitution/addition

###### Use of Angles

Identify/draw acute, obtuse, right, straight, vertical, complementary, supplementary, alternate interior, alternate exterior and corresponding angles, convert between degreeminutes rees-tenths, add/subtract measures of angles and solve angle problems

###### Triangles

Identify/draw acute, obtuse, isosceles, equilateral and right triangles, use Pythagorean theorem to solve a right triangle, find perimeter/area of a triangle and solve similar triangle problems

###### Circles and Polygons

Identify squares, rectangles, parallelograms and trapezoids, find perimeter/area of a quadrilateral, identify regular pentagons, hexagons and octagons, find perimeter/area of regular polygons, identify diameter, radius, circumference and arc of a circle and find circumference, area, arc length and area

###### Geometric Solids

Identify prisms, cylinders, pyramids, cones and spheres, identify critical characteristics of geometric solids and find surface area/volume of geometric solids

###### Basic Trig Properties for Sin, Cos and Tan

Write trig ratios for angles in a right triangle, solve right triangle problems, find trig ratios for angles in standard position, use a hand-held calculator to find angles and function values and use Laws of Sines and Cosines

###### Vectors

Sketch vectors and convert between polar operator forms

###### Finance

Calculate costs and analyze data, solve simple and compound interest problems, sketch/read line, bar, circle and coordinate plane graphs and use graphs to interpret data

###### Logs

Define log and use properties of logs to manipulate/solve equations

###### Statistics

Define/use mean, median, mode and standard deviation, use a normal distribution to find probabilities and sketch/read/interpret graphs