COURSE INFORMATION

At the end of the school year, I will give you the Florida Department of Education Course Description and Benchmarks and the pages from the textbook, or other source, that satisfy each benchmark and the dates each benchmark was taught. Tests will be given (to take home) at the end of each chapter. Grades will be assessed for each chapter and then averaged for a final course grade. It is best to weigh the tests as heavily as possible when determining student grades in order to have the most impressive transcript possible. The best weight ratio of grades for tests to homework is for the tests to count 90% and the homework 10%. Students will need to earn an "A" or "B" for the honors class. You, of course, can weigh the tests and homework anyway you like. If your student cannot do or does not want to do honors classes, they will be able to skip sections that would be "honors" level thus giving them more time to concentrate on basic topics. Tests will be made in such a way that the end of each test will be the "honors" section and can either be counted or thrown out. I can also give you the Florida Department of Education Course Description for Algebra I (regular credit). I think each student should start out as an "honor" student prove what he / she can or cannot do. It is my experience that students rise to my expectations.

ALGEGRA I (HONORS)

State of Florida course number 1200320
1 credit, high school mathematics


Florida Department of Education, Algebra I honors course description: (these are in order by the Department of Education Course Description and not the order topics will be taught) zero product property; function; relation; linear equations in one variable; properties of real numbers; properties of equalities; solving literal equations for a specified variable; solve and graph simple and compound inequalities in one variable; solve multi-step real-world problems involving linear equations and inequalities; absolute value equations and graphing; slope-intercept form of an equation of a line; graphing: table of values, x and y intercepts, two points, slope and point, equation of a line in slope-intercept form, standard form, point-slope form equations and graphing methods; equations and slopes of parallel and perpendicular lines; equation of a line that models a data set and use equation or graph to make predictions; describe slope of line in terms of data and rate of change; graph equations and inequlities in two variables; use graph to approximate the solution of a system of linear equations and inequalities in two and three variables; solve systems of linear equations and inequalities using graphical, substitution and elimination methods; solve real-world problems of system of linear equations in two and three variables; simplify monomials,;monomial expressions using laws of integral exponents; add, subtract, mulitply polynomials; factor polynomials; divide polynomials by monomials and ploynomials with various techniques including synthetic division; simplify algebraic ratos and proportions and word problems; add, subtract, multiply, divide rational expressions; simplify complex fractions; solve rational equations; word problems involving mixture, distance, work, interest, ratio; simplify radical expressions; add, subtract, mulitply, divide radical expressions; graph quadratic equations; solve quadratic equations by factoring and quadratic formula; identify axis of symmetry, vertex, domain, range and intercepts for given prabaolas; use quadratic equations to solve real-world problems; use graphing technology to find approximate solutions of quadratic equations; use a variety of problem-solving strategies such as drawing a diagram, chart, writing and equation, creating a table; decide whether a solution is reasonable; decide whether a given statement is always, sometimes or never true; set operations including untion, intersection, complement and cross-product; Venn diagrams


GEOMETRY (HONORS)

State of Florida course number 1206320
1 credit, high school mathematics

vocabulary; truth tables including converse, inverse and contrapositive; determine whether two propositions are logically equilavent; direct and indirect proof; use vectors to model and solve application problems; explore and use sequences found in nature, fibonacci sequence and golden ratio; find lengths and midpoints of segments; construct congruent segments and angles, angle bisectors, parallel lines, perpendicular lines, using compass; use relationshkps between special pairs of angles formed by parallel lines and transversals; convex, concave, regular and irregular polygons; measures of interior and exterior angles of polygons; properties of congruent and similar polygons to solve real-world problems; transformations - translations, reflections, rotations, dilations, scale factors to polygons to determine congruence, similarity, symmetry, create and verify tessellations; perimeter and area of polygons; coordinate geometry to prove properties of congruent, regular and similar polygons and perform transformations; changes in dimension affect perimeter and area; describe, classify and compare relationships among quadrilaterals such as square, rectangle, rhombus, parallelogram, trapezoid and kite; special quadrilaterals; use coordinate geometry to prove properties of congruent, regular and similar quadrilaterals; prove theorems involving quadrilaterals; classify, construct triangles; define, identify, construct altitudes, medians, angle bisectors, perpendicular bisectors, orthocenter, centroid, incenter and circumcenter; construct triangles congruent to given triangles; properties of congruent and similar triangles to solve problems involving lengths and areas; theorems involving segments divided proportionally; proofs with triangles; inequality theorems for triangles, Hinge theorem; special triangles 30-60-90, 45-45-90; real-world problems for right triangles; circles, construction, tangents, circumscribe and inscribe with triangles and regular polygons; circles - circumference, radius, diamter, arc, arc length, chord, secant, tangent, concentric circles; proofs circles related to angles, chords, tangents, secants; measures of arcs and related angles; circles and real-world problems; equation of a circle, describe and make regular, non-regular, oblique polyhedra, polyhedra - faces, edges, vertices; areas and perimeters of cross sections of solid objects; identify chords, tangents, radii, great circles of sphere; formulas for lateral area, surface area, volume of solids; congruent and similar solids; how changes in dimensions affect the surface area and volume; analyze structure of Euclidean geometry as an axiomatic system distinguish between undefined terms, definitions, postulates, theorems; use a variety of problem solving strategies, determine if solution is reasonable; make conjectures with justiafications about geometric ideas, distinguish between information that supports a conjecture and the proof of a conjecture; geometric proofs - proofs by contradiction, coordinate geometry, deductive proofs - flow charts, paragraphs, two-column, indirect proofs; basic constructions using straightedge, compass and protractor; define and use trigonometric ratios