# Challenge Workouts

Each subtopic below contains a lesson, an interactive student practice page, and a teacher resource page. Sections marked with * are references to the graphing calculator. Note: some themes in NYS learning standards cross strands, as parables, which occurs under the strings of algebra and geometry. This site contains themes in one place. Meaning of numbers and operations strand 1 number of • theory of properties of real numbers more practical option •: real numbers (interactive & hardcopy) 2. Radical • operations • • * exponential notation fractions, percentages, reasons and proportions * • • * exhibitors direct variation (forces) • * faculty • absolute value • practice of multi-choice: operations (hardcopy & interactive) pre-algebra review (review of some of the issues necessary for algebra) irrational and rational numbers • • order • operations signed numbers • practice of multiple choice: pre-algebra to check (interactive & hardcopy). Part of algebra 3. representations and algebraic expressions • • polynomial multiplication, addition and subtraction of polynomials * • • * • polynomial equations and algebraic fractions Division * factoring * • • several convenient options: variables and expressions (interactive & hardcopy). 4 algebraic equations and inequalities • translations • • * linear equations of linear equations (algebraic and graphic) * • * • literal equations, quadratic equations, linear quadratic systems •-• exponential growth and decay * • linear inequalities (single variable) * • * challenge exercises probability theory linear inequations, graphing systems inequalities • • multiple choice practice: equations and inequalities (interactive & hardcopy) 5. Patterns, functions, and relations of set-Builder • and • interval notation to work with groups and Venn diagrams • • practical definition of multiple-choice function: patterns, functions of reporting (hardcopy & interactive) 6 trigonometric functions • Pythagoras • trigonometric relations (sine, cosine, tangent) * • several convenient ways: Pythagoras thm & trigonometry (interactive & hardcopy). . . . . .