Career Mathematics 107

Course Description:

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

Prerequisite: none

Required Learning Resources

• Elementary Technical Mathematics, 8^th edition, Ewen and Nelson
• An inexpensive scientific calculator is required

Outline Overview:  The outline below does not represent the order of presentation and was taken verbatim for the CCCS guidelines.

1. Demonstrate knowledge and use of ratios, proportions, and percents.
   1. Write the comparison of two numbers by means of a ratio.
   2. Write a ratio as a fraction, a decimal numeral or a unit ratio.
   3. Solve a proportion.
   4. Recognize, set up, and solve direct and indirect proportion applications.
   5. Convert fractions and decimal numbers to percent numbers and vice versa.
   6. Solve rate/base/percentage problems.
2. Demonstrate knowledge and use of units of measure.
   1. Identify significant digits.
   2. Identify which of two numbers is more accurate or more precise.
   3. Round numbers off correctly depending on the accuracy or precision required.
   4. Use dimensional analysis in problem solving.
3. Demonstrate knowledge and use of signed numbers.
   1. Know and use the rules for adding, subtracting, multiplying, and dividing signed numbers.
   2. Find the powers and roots of signed numbers.
   3. Know and use the rules for order of operations in problems with signed numbers.
4. Demonstrate knowledge and use of powers of ten and scientific notation.
   1. Convert to and from scientific notation.
   2. Multiply, divide, and find powers of numbers in scientific notation.
5. Demonstrate knowledge and use of algebraic operations.
   1. Recognize “like terms”.
   2. Add and subtract like terms.
   3. Multiply and divide monomials.
   4. Apply the distributive law.
6. Demonstrate knowledge and use of elementary algebraic equations and formulas.
   1. Check the solution of an equation.
   2. Solve and check the linear equations, including those containing grouping symbols and fractions.
   3. Evaluate and solve formulas.
7. Demonstrate knowledge and use of angles.
   1. Recognize, draw, and/or define an acute angle, obtuse angle, right angle, and straight angle.
   2. Recognize, draw, and/or define vertical, complementary, supplementary, alternate interior, alternate exterior and corresponding angles.
   3. Change degree-minutes to degrees-tenths and vice versa.
   4. Add and subtract the measures of angles.
   5. Solve angle problems.
8. Demonstrate knowledge and use of triangles.
   1. Identify and draw acute, obtuse, isosceles, equilateral and right triangles.
   2. Use the Pythagorean Theorem to solve a right triangle.
   3. Find the perimeter and area of a triangle.
   4. Solve similar triangle problems.
9. Demonstrate knowledge and use of circles and polygons.
   1. Identify squares, rectangles, parallelograms, and trapezoids.
   2. Find the perimeter and area of a quadrilateral.
   3. Identify regular pentagons, hexagons, and octagons.
   4. Find the perimeter and area of regular polygons.
   5. Identify diameter, radius, circumference, arc, and sector of a circle.
   6. Find the circumference, area, arc length, and sector of a circle.
10. Demonstrate knowledge and use of geometric solids.
    1. Describe and identify prisms, cylinders, pyramids, cones, and spheres.
    2. Identify the critical characteristics of geometric solids.
    3. Find the surface area and volume of geometric solids.
11. Demonstrate knowledge and use of graphs.
    1. Sketch and read line, bar, circle, and coordinate plane graphs.
    2. Use graphs to interpret data.

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