Math 310 Course Outline  

Probability
Sample Space, Event
Basic Rules of Probability

Addition Rules, Multi-stage experiments and Multiplication Rules

Probability Tree Diagrams

Conditional Probability

Odds; odds versus probability

Descriptive Statistics
Understand and produce summaries:  Pictograph, Stem and Leaf, Frequency Table, Histogram, Circle (Pie Chart), Box Plot

Understand and calculate parameters:  Mean, Median, Mode, Quartiles, Range, Interquartile Range, Standard Deviation

Descriptive Geometry

Undefined terms:  point, line, plane, space
Points: collinear & noncollinear

Lines: coplanar, intersecting, perpendicular, parallel, non-coplanar, skew, concurrent

Half-line, Line segment, Ray, Angle

Planes:  parallel, intersecting, intersection of planes 

Angles:  measure; degree, minute, second; right, acute, obtuse, straight

Angles:  complementary, supplementary, vertical, adjacent

Simple closed plane curve

Polygons:  vertex, edge, diagonal; regular; convex

Polygons:  triangle, quadrilateral, pentagon, hexagon, septagon, octagon, nonagon, decagon, dodecagon, n-gon

Triangles:  right, acute, obtuse; equilateral, isosceles, scalene

Quadrilaterals:  Trapezoid, Isosceles trapezoid, Parallelogram, Rhombus, Rectangle, Square, Kite

Angles in polygons:  Sum of measures of interior angles in a triangle, in a polygon; exterior angles

Regular polygons and their angles

Circle, arc, diameter, radius, tangent, sector, chord, semicircle

Polyhedra:  edge, vertex, face; convex; regular

Polyhedra:  prism, pyramid, tetrahedron, cube, octahedron, regular octahedron, regular icosahedron, Platonic solid

Prism:  Bases, Lateral faces; Height

Pyramid:  Base, Apex, Lateral faces, Height, Slant height

Cylinder, Cone, Sphere

Right prism, pyramid, cone, cylinder

Congruence

Constructions with emphasis on congruence

    (Construct:  congruent triangles, angles; perpendiculars; bisectors of segments & angles; altitude; parallel lines; center of circle)

Triangle congruence and similarity theorems (understanding, applications and proofs)

Transversal of two lines, Corresponding angles, Alternate interior angles, Alternate exterior angles

Corresponding angles theorem(s) 

Measure, Area, Volume, Surface Area

Metric system (km, hm, dam, m, dm, cm, mm)  and most commonly used English units (mi, ft, yd, in)

Metric system units of area, volume, liquid volume, mass and temperature

Length, Perimeter of polygons, Circumference

Areas of rectangles, squares, parallelograms, trapezoids, triangles, circles, sectors, and combinations 

Volumes and Surface Area of:  cylinders (includes prisms) and cones (includes pyramids), spheres

Mass

Temperature (Fahrenheit and Celsius systems)

Cartesian coordinates

Cartesian coordinate system; distance between points

Line: slope and intercepts; equation of line

Transformation Geometry and Symmetry

Isometries:  translation (vector of), rotation (center & angle of), reflection (line of)-- recognize, describe, and perform
(Coverage of glide reflections is optional; if included, should be accompanied by statement of this theorem:  Any isometry of the plane is either a translation, a rotation, a reflection, or a glide reflection.)

Symmetry:  Line symmetry, rotational symmetry-- identify and describe

Common Final Exam

Fall Semester 2009 Common Final Exam Date:  Saturday, December 12, 2009, 11:30 to 13:30.  

All students enrolled in Math 310 take the common final in classrooms to be announced late in the semester.  Under certain circumstances (e.g. religious prohibition),  exceptions may be made by prior permission of the instructor, to take the final exam during the departmental make-up sessions.

Practice Problems for the Math 310 Final Exam (pdf file).  

The problems on this practice demonstrate the breadth and level of difficulty of the final exam.  

Solutions are posted here by section:

Solutions Sections A & B  
Solutions Section C
Solutions Sections D & E  
Solutions Section F  
Solutions Section G  Alternate Solutions Section G
Solutions Section H
Solutions Section I
Solutions Section J
Solutions Section K
Solutions Section L  A Proof for #1
Solutions Section M
Solutions Section N

Course Resources

Free tutoring for Math 310 students is available in the Math Tutoring Center in Sierra Hall 274, starting the second week of semester, during the following times:
                

              
Computer Lab Hours:    The hours for the Computer Lab in Sierra Hall 272 are the same as the tutoring hours.

Geometer Sketchpad lesson  If this project is assigned, students should download this pdf file and bring a printed copy to the computer lab. Follow the instructions of the printout, and obtain the indicated signatures from the lab assistant. Students should then return the final page, signed by the lab assistant, to their Math 310 instructors. (Copies of the lesson may be available in the lab.)

Supplemental Resources

A requirement for entrance into the CSU is completion of Algebra I, Geometry, and Algebra II.  Students who would benefit from a review of basic algebra are encouraged to enroll in Math 102 or to purchase ALEKS before enrolling in Math 210 or Math 310.  ALEKS is a self-paced, computer tutoring program that reviews and provides practice in basic algebra.  A free trial on ALEKS is available.   Use this link if you would like to purchase access to ALEKS:  ALEKS  

Student Practice Problems for grades 1 to 8 (Algebra I) California Math Standards

Overhead Slides from The Winning Equation  An in-service program for Grade 4-7 teachers

Math 310 Notes  A collection of useful information and links to other sites

YouTube.com videos explaining the importance of high quality math textbooks in schools: