Mathematics III continues students' study of topics from algebra, geometry, and statistics in a problem-centered, connected approach. Functions, probability. Functions, probability, trigonometry, and algebraic representations of geometric concepts are the principle topics of study. Students will be expected to describe and translate among graphic, algebraic, numeric, tabular, and verbal representations of relationships and use those representations to solve problems. Appropriate technology, from manipulatives to calculators and application software, will be used regularly for instruction and assessment.
N-CN: Use complex numbers in polynomial identities and equations.
A-SSE: Interpret the structure of expressions and write expressions in equivalent forms to solve problems.
A-APR: Understand the relationship between zeros and factors of polynomials and rewrite rational expressions.
A-CED: Create equations that describe numbers or relationships.
A-REI: Understanding solving equations as a process of reasoning and explain the reasoning and represent and solve equations and inequalities graphically.
F-IF: Understand the concept of a function and use function notation, interpret functions that arise in applications in terms of the context, and analyze functions using different representations.
F-BF: Build a function that models a relationship between two quantities and build new functions from existing functions.
F-LE: Construct and compare linear and exponential models and solve problems.
F-TF: Extend the domain of trigonometric functions using the unit circle and model periodic phenomena with trigonometric functions.
G-CO: Prove geometric theorems.
G-C: Understand and apply theorems about circles.
G-GPE: Translate between the geometric description and the equation for a conic section.
G-GMD: Explain volume formulas and use them to solve problems and visualize relationships between two-dimensional and three-dimensional objects.
G-MG: Apply geometric concepts in modeling situations.
S-IC: Understand and evaluate random processes underlying statistical experiments and make inferences and justify conclusions from sample surveys, experiments, and observational studies.
The student must maintain at least an average of 60 or better to receive credit for this course.
In averaging ten weeks grades, the following percentages will be used:
Test average counts 40% (Projects will count as a test score and there will be a minimum of 3 major grades.)
Quiz average counts 30% (Quizzes will be announced, unannounced, and cumulative)
Classwork/participation average counts 20%
Homework average counts 10%
Math III will have an EOC that counts 25% of their final grade.