Functions, Statistics, & Trigonometry – Grades 11-12

District 2853

Month

Content

Performance Standards Addressed Grades 9-11 Grades 11-12

Skills for Student Achievement

Assessment

September	· Exploring Date	Mathematical Reasoning - Benchmarks #1, #2 Computation & Operation - Benchmark #6 Data and Statistics - Benchmarks #1, #2, #4	Statistics - Benchmark #3	· Read, interpret, & construct displays and graphs · Calculate and compare measures of center and measures of spread
October and November	· Functions and Models	Mathematical Reasoning - Benchmarks #1, #2, #4, Computation & Operation - Benchmarks #2, #5, #6 Patterns and Functions - Benchmarks #1, #2, #4, #5 Algebra - Benchmarks#3, #5, #6, #7, #8 Data and Statistics - Benchmarks #3, #5, #6	Algebra - Benchmarks #1, #2, #5, #6, #7, #11	· Identify the domain, range, and properties of functions · Model data to represent real world situations and make predictions · Determine the best fitting line or curve (regression equations)
November and December	· Transformations of Graphs and Data	Mathematical Reasoning - Benchmarks #1, #2, #3 Computation & Operation - Benchmarks #4, #5 Patterns and Functions - Benchmark #3 Geometry - Benchmark #6	Algebra - Benchmark #15	· Describe the effects of transformations (translations and scale changes) on functions and their graphs · Use transformations to analyze data · Describe and determine symmetries of graphs · Find formulas and values of composites of functions · Find and graph inverses of functions
January and February	· Circular Functions	Mathematical Reasoning - Benchmarks #1, #2 Computation & Operation - Benchmarks #2, #3	Trigonometry & Geometry - Benchmarks #3, #6, #7	· Find lengths of circular arcs and areas of sectors · Find sines, cosines, and tangents of angles · Use and verify trigonometric identities · Identify the amplitude, period, frequency, and other properties of circular functions · Graph transformation images of circular functions
March and April	· Trigonometry Functions	Mathematical Reasoning - Benchmarks #1, #2 Computation & Operation - Benchmark #4 Geometry - Benchmark #4	Algebra - Benchmark #15 Trigonometry & Geometry - Benchmarks #1, #2, #4, #5, #8, #9	· Solve problems using trigonometric ratios in right triangles · Solve problems involving the Law of Cosines and the Law of Sines · Use inverse trigonometric functions to solve equations and model situations · Write and solve general trigonometric equations · Compute probabilities using counting techniques
April and May	· Probability and Simulation	Probability - Benchmarks #1, #2, #3, #4, #5, #6		· Determine whether events are mutually exclusive, independent, or complementary · Design and conduct simulations
May	· Sequences, Series, and Combinations		Algebra - Benchmark #16	· Find formulas for sequences and determine limits · Solve problems involving arithmetic, geometric, and infinite series · Use combinations to compute the number of ways of selecting objects