STANDARD COMPETENCIES:

 

 I.      Demonstrate knowledge and use of ratios, proportions and percents.

 II.     Demonstrate knowledge and use of units of measure.

 III.    Demonstrate knowledge and use of signed numbers.

 IV.     Demonstrate knowledge and use of powers of ten and scientific notation.

 V.      Demonstrate knowledge and use of algebraic operations.

 VI.     Demonstrate knowledge and use of algebraic equations and formulas.

 VII.    Demonstrate knowledge and use of systems of equations.

 VIII.   Demonstrate knowledge and use of angles.

 IX.     Demonstrate knowledge and use of triangles.

 X       Demonstrate knowledge and use of circles and polygons.

 XI.     Demonstrate knowledge and use of geometric solids.

 XII.    Demonstrate knowledge and use of basic trig properties for sin, cos and tan.

 XIII.   Demonstrate knowledge and use of vectors.

 XIV.    Demonstrate knowledge and use of finance.

 XV.     Demonstrate knowledge and use of graphs.

 XVI.    Demonstrate knowledge and use of logarithms.

 XVII.   Demonstrate knowledge and use of statistics.

 TOPICAL OUTLINE:

 

 I.      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

 II.     Units of measure

         A.      Identify significant digits

         B.      Identify which of two numbers is more accurate or precise

         C.      Round numbers to the accuracy or precision required

         D.      Use dimensional analysis

 III.    Signed numbers

         A.      Use rules of operations on signed numbers

         B.      Find powers/roots of signed numbers

         C.      Use order of operations

 IV.     Powers of ten & scientific notation

         A.      Convert to/from scientific notation

         B.      Multiply/divide powers of ten & numbers in scientific notation

 V.      Algebraic operations

         A.      Recognize/add/subtract like terms

         B.      Multiply/divide monomials

         C.      Use the distributive law

 VI.     Algebraic equations & formulas

         A.      Solve & check linear equations, including those containing grouping symbols & fractions

         B.      Evaluate/solve formulas

 VII.    Systems of equations

         A.      Solve systems of equations in two variables by substitution/addition

 VIII.   Use of angles

         A.      Identify/draw acute, obtuse, right, straight, vertical, complementary, supplementary, alternate interior, alternate exterior & corresponding angles

         B.      Convert between degree-minutes degrees tenths

         C.      Add/subtract measures of angles

         D.      Solve angle problems

 IX.     Triangles

         A.      Identify/draw acute, obtuse, isosceles, equilateral & right triangles

         B.      Use Pythagorean Theorem to solve a right triangle

         C.      Find perimeter/area of a triangle

         D.      Solve similar triangle problems

 X       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

 XI.     Geometric solids

         A.      Identify prisms, cylinders, pyramids, cones & spheres

         B.      Identify critical characteristics of geometric solids

         C.      Find surface area/volume of geometric solids

 XII.    Basic trig properties for sin, cosign & 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

         E.      Use Laws of Sines & Cosines

 XIII.   Vectors

         A.      Sketch vectors & their resultant in

         B.      Convert between polar & j-operator forms

         C.      Add vectors

 XIV.    Finance

         A.      Calculate costs & analyze data

         B.      Solve simple & compound interest problems

 XV.     Graphs

         A.      Sketch/read line, bar, circle & coordinate plane graphs

         B.      Use graphs to interpret data

 XVI.    Logs

         A.      Define log

         B.      Use properties of logs to manipulate/solve equations

 XVII.   Statistics

         A.      Define/use mean, median, mode & standard deviation

         B.      Use a normal distribution to find probabilities

         C.      Sketch/read/interpret graphs