Functions, Statistics & Trigonometry

Avon Lake City Schools

Curriculum Framework

Functions, Statistics & Trigonometry

Course Overview:

The first semester of this course covers introductory topics of statistics and probability, with the goal of helping students to become better consumers of information and to be prepared for an introductory college statistics course (a requirement for many different fields). The second semester reviews topics from algebra courses, with the goal of helping to prepare students for an entry level college mathematics course. A graphing calculator is required (TI-83 or TI-84, approximate cost: $100-$110). Prerequisites: Algebra II or equivalent. This class meets one period daily for &frac(1/2); unit of credit each semester.

Textbook (Title and Publishing Company):

Statistics and Probability with Applications 3rd Ed. (Starnes), Algebra and Trigonometry 8th Ed.

Online/Supplemental Materials: DeltaMath

Assessments:

A variety of assessments will be given, including regular quizzes assessing new content and unit exams.

Content/Topics/Learning Goals

Subject to Pacing and Schedules

1st Quarter

Unit 1: Statistics – Analyzing one-variable data

  • Displaying categorical data
  • Dot plots
  • Stemplots
  • Histograms
  • Box plots
  • Measuring center and variability
  • Distribution

Unit 2: Statistics – Analyzing two-variable data

  • Relationships between two categorical variables
  • Relationship between two quantitative variables
  • Correlation
  • Regression lines
  • Fitting models on a curved relationship

2nd Quarter

Unit 3: Statistics – Collecting Data

  • Sampling
  • Surveys
  • Observational studies
  • Margin of error

Unit 4: Statistics – Probability

  • Basic probability rules
  • Two way tables and venn diagrams
  • Conditional probability and independence
  • Multiplication rule
  • Multiplication counting principle and permutations
  • Combinations

3rd Quarter

Unit 5: Preliminary Concepts, Equations

  • Polynomials
  • Factoring
  • Quadratic Equations
  • The algebra of functions

Unit 6: Functions and Graphs and Exponential and Logarithmic Functions

  • Linear, quadratic, exponential and logarithmic functions and their graphs
  • Transformations of graphs
  • Applications of exponential and logarithmic functions

4th Quarter

Unit 7: Trigonometric Functions & Trigonometric Identities and Equations

  • Angles and arc
  • Trig functions of acute angles and any angle
  • Trig functions of real numbers
  • Graphs of sine, cosine and tangent functions
  • Graphing techniques

Unit 8: Sequences and Series

  • Arithmetic sequences and series
  • Geometric sequences and series
  • Sigma notation for series
  • Proof by induction

Last Updated: September, 2023