# End of Course Exams

#### Proven and Effective Methods for Passing the End-of-Course Exam

presented by Duane Bollenbacher

This 3-day course consists of tried-and-true philosophies, classroom procedures, incremental approaches to teaching a new topic, questioning techniques, assignments, REVIEW and RETAIN materials, preparing for each quiz and each test, and helping students gain confidence and security in taking a test and the final exams.

This course, along with one other course, may be used by an INTERVENTION SPECIALIST to become a HIGHLY QUALIFIED             TEACHER (HQT) in mathematics CONTENT.

Content
Some possibilities

• Algebra
• Properties, Sets, and Subsets of REAL NUMBERS
• Relations, Functions, Domain, Range; Special Quadratics
• Factoring; Completing the Square; Quadratic Formula
• Many approaches to GRAPHING (FUNCTIONS and others)
• Special Connection and Interaction of GRAPH, FUNCTION, TABLE
• Logarithms; Complex Numbers; Conic Sections; Trigonometry

• Geometry
• Importance of TERMINOLOGY, DEFINITIONS, POSTULATES, and THEOREMS in PROOFS
• Polygons, Similarity, Special Right Triangles, Pythagorean Theorem
• Circles; Solid Figures
• Perimeter, Area, Volume
• Prove that √2 is irrational; MUCH, MUCH MORE

Course Expectations

Bring a TI-83 or -84, or tell Duane in advance if you need to borrow one
Attendance at all sessions
Participation in all activities
Sharing teaching ideas that have worked for you

Problems to Ponder for the Workshop

Always-Sometimes-Never:
A line in the front wall of the classroom is A-S-N parallel to a line in the ceiling of the classroom.
A line in the front wall of the classroom is A-S-N perpendicular to a line in the ceiling of the classroom.
A line in the front wall of the classroom is A-S-N perpendicular to a line in the back wall of the classroom.
A line in the front wall of the classroom is A-S-N skew to a line in the ceiling of the classroom.

FACTOR COMPLETELY: x5 – y5 ;  x5 + y5 ;  x6 – y6;  x6+ y6