# Mathematics

In Algebra I students will explore properties of real numbers, solve equations (two step, multistep, variables on both sides), solve inequalities, solve and graph solutions, explore graphs and functions, linear functions – slope intercept form, point slope form, standard form, systems of linear functions – solve by graphing, substitution, elimination, properties of exponents, use polynomials (add, subtract and multiply), explore factoring, and explore quadratic functions (graph quadratic functions and solve quadratic equations).

In Geometry students will investigate basic geometry (measure segments and angles, complete basic constructions), explore reasoning (inductive & deductive reasoning, write statements and definitions & apply reasoning), parallel and perpendicular lines (investigate properties and prove lines parallel/perpendicular, construct parallel and perpendicular lines, review slopes of parallel and perpendicular lines) examine properties of triangle congruency (determine if triangle are congruent, find missing measures based on triangle congruence), examine relationships with triangles (mid-segments, bisectors, concurrent lines, medians, altitudes; inequalities in triangles), classify polygons and quadrilaterals (polygon angle sums), prove classifications based on quadrilateral properties, investigate special quadrilaterals, use ratios and proportions to determine similar triangles, use right triangle trigonometry, find area of polygons and circles, and find surface area and volume of three dimensional figures.

Man’s ability to understand and work with numbers, as well as with other subjects, is a gift from God.  This comprehensive program reviews and extends key Algebra I concepts and skills at the beginning of the course, extends work with rational and radical expressions, introduces complex numbers, and thoroughly explores conic sections.

Pre-requisite: Algebra I

This course expands on the student’s knowledge of Algebra II skills and introduces more complex functions including trigonometric functions and their applications.   Conic sections and Sequences and Series will also be included.  Limits and their properties will be introduced.  Graphing calculators will be used as a tool to assist with problem solving.  Real life applications and extensive graphing will be included throughout the course.

In Discrete Math we will prepare for ACT/SAT tests by reviewing the following: Algebra (simplifying expressions and solving linear equations and inequalities and quadratic equations, graphing functions and systems of equations, radical expressions and equations, exponential and logarithmic equations) and Geometry (coordinate planes, points, lines angles, polygons, triangle congruence perimeter, circumference, area, volume, right triangle trigonometry).

Students will then study the following new objectives: Counting Methods and Probability Theory, (Permutations, combinations, probability, expected value), Statistics (Sampling, frequency distribution, measures of dispersion), Set Theory (set concepts, Venn diagrams, set operations), Logic (statements, truth tables, arguments and diagrams), Number representation (early number systems, positional systems, number bases, computation), Personal Finance (Dave Ramsey’s course Financial Peace).

This course is concerned with developing the student’s understanding of limits and their properties, continuity, derivatives and their techniques, integration and its techniques, and applications for all elementary functions of one variable. The course emphasizes a multi-representational approach to calculus, with concepts, results, and problems being expressed analytically, geometrically, numerically, and verbally. Graphing calculators will be used as a tool to assist with problem solving. Real life applications and extensive graphing will be included throughout the course.

Pre-requisite: Pre-Calculus

## Teachers Mrs. Donna Bojo Mrs. Erin Osner