Course:
MAT 108
Title:
0
Long Title:
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 at an introductory level and the
emphasis is on applications.
Min Credit:
4
STANDARD COMPETENCIES:
I.
II.
III.
IV.
V.
VI.
VII.
VIII.
IX.
X.
XI.
XII.
XIII.
XIV.
XV.
XVI.
XVII.
Demonstrate knowledge and use of ratios, proportions and percents.
Demonstrate knowledge and use of units of measure.
Demonstrate knowledge and use of signed numbers.
Demonstrate knowledge and use of powers of ten and scientific notation.
Demonstrate knowledge and use of algebraic operations.
Demonstrate knowledge and use of algebraic equations and formulas.
Demonstrate knowledge and use of systems of equations.
Demonstrate knowledge and use of angles.
Demonstrate knowledge and use of triangles.
Demonstrate knowledge and use of circles and polygons.
Demonstrate knowledge and use of geometric solids.
Demonstrate knowledge and use of basic trig properties for sin, cos and tan.
Demonstrate knowledge and use of vectors.
Demonstrate knowledge and use of finance.
Demonstrate knowledge and use of graphs.
Demonstrate knowledge and use of logarithms.
Demonstrate knowledge and use of statistics.
TOPICAL OUTLINE:
I.
II.
Ratios, proportions & percents
A.
Write a comparison of two numbers as a ratio
B.
Write a ratio as a fraction, decimal numeral or unit ratio
C.
Solve a proportion
D.
Recognize/set up/solve direct & indirect proportion applications
E.
Convert among fractions, decimals and percents
F.
Solve rate/base/percentage problems
Units of measure
A.
Identify significant digits
B.
Identify which of two numbers is more accurate or precise
III.
IV.
V.
VI.
VII.
VIII.
IX.
X.
XI.
XII.
C.
Round numbers to the accuracy or precision required
D.
Use dimensional analysis
Signed numbers
A.
Use rules of operations on signed numbers
B.
Find powers/roots of signed numbers
C.
Use order of operations
Powers of ten & scientific notation
A.
Convert to/from scientific notation
B.
Multiply/divide powers of ten & numbers in scientific notation
algebraic operations
A.
Recognize/add/subtract like terms
B.
Multiply/divide monomials
C.
Use the distributive law
Algebraic equations & formulas
A.
Solve & check linear equations, including those containing grouping symbols
& fractions
B.
Evaluate/solve formulas
Systems of equations
A.
Solve systems of equations in two variables by substitution/addition
Use of angles
A.
Identify/draw acute, obtuse, right, straight, vertical, complementary,
supplementary, alternate interior, alternate exterior & corresponding angles
B.
Convert between degree-minutes and degrees-tenths
C.
Add/subtract measures of angles
D.
Solve angle problems
Triangles
A.
Identify/draw acute, obtuse, isosceles, equilateral & right triangles
B.
Use Pythagorean Thm to solve a right triangle
C.
Find perimeter/area of a triangle
D.
Solve similar triangle problems
Circles & polygons
A.
Identify squares, rectangles, parallelograms & trapezoids
B.
Find perimeter/area of a quadrilateral
C.
Identify regular pentagons, hexagons & octagons
D.
Find perimeter/area of regular polygons
E.
Identify diameter, radius, circumference, arc¿or of a circle
F.
Find circumference, area, arc length¿or area
Geometric solids
A.
Identify prisms, cylinders, pyramids, cones & spheres
B.
Identify critical characteristics of geometric solids
C.
Find surface area/volume of geometric solids
Basic trig properties for sin, cos & tan
A.
Write trig ratios for angles in a right triangle
B.
Solve right triangle problems
C.
Find trig ratios for angles in standard position
D.
Use a hand-held calculator to find angles & function values
XIII.
XIV.
XV.
XVI.
XVII.
E.
Vectors
A.
B.
C.
Finance
A.
B.
Graphs
A.
B.
Logs
A.
B.
Statistics
A.
B.
C.
Use Laws of Sines & Cosines
Sketch vectors & their resultant in
Convert between polar & j-operator forms
Add vectors
Calculate costs & analyze data
Solve simple & compound interest problems
Sketch/read line, bar, circle & coordinate plane graphs
Use graphs to interpret data
Define log
Use properties of logs to manipulate/solve equations
Define/use mean, median, mode & standard deviation
Use a normal distribution to find probabilities
Sketch/read/interpret graphs