Topic outline

  • News and Helpful tools

    Instructor:  Peter Roed

    Phone - (989) 773-9473

    Email: Proed@shepherdschools.net - Preferred

    Office location: Odyssey MS/HS

    Office Hours: After school Monday through Thursday by appointment.

    Questions: Please post questions about the course in the Q&A room under the helpful tools section. If it is a personal matter, please email me. I will typically respond within one business day of receiving your message. (Business days are Monday thru Friday, not including holidays)

  • Chapter 11 - Sequences and Series

    Chapter 11 Overview

    This chapter begins to introduce students to sequences and series with a lesson on mathematical patterns. Students are then introduced to arithmetic and geometric series. Finally, students conclude the chapter with a lesson on the area under a curve.

    Objectives:

    • You will learn to identify and generate arithmetic sequences and geometric sequences. 
    • You will learn to evaluate arithmetic series and geometric series. 
    • You will use rectangles to approximate the area under a curve.

    Quizzes: 2Pages: 9Assignments: 7
  • Chapter 12 - Probability and Statistics

    Chapter 12 Overview

    Students begin their investigation into probability and statistics by learning about probability distributions and conditional probability. Next, students delve into statistics with lessons on analyzing data, standard deviation, and working with samples. The chapter is rounded out with lessons on binomial distributions and normal distributions.

    Objectives:

    • You will learn to make and use a probability distribution to conduct a simulation.
    • You will learn to use formulas, tree diagrams, and normal distributions to find the probability of an event.
    • You will learn to use measures of central tendency and measures of variation to compare data in real-world problems.

    Quizzes: 2Pages: 10Assignments: 9
  • Chapter 13 - Periodic Functions and Trigonometry

    Chapter 13 Overview

    This chapter begins with an exploration of periodic data in which students are introduced to cycles, periods, and amplitudes. The chapter continues with lessons that introduce the unit circle and radian measure. Students then complete lessons on the sine, cosine, and tangent functions. The chapter concludes with lessons on translating trigonometric functions and reciprocal trigonometric functions.

    Objectives:

    • You will learn how geometric measurement relates to trigonometry.
    • You will learn to use radian measure. 
    • You will learn how to write and graph functions that describe periodic data.


    Quizzes: 2Pages: 11Assignments: 15
  • Chapter 14 - Trigonometric Identities and Equations

    Chapter 14 Overview

    This chapter begins with an introduction to trigonometric identities. Students then learn how to solve trigonometric equations using inverses. Then students are introduced to the trigonometric ratios of right triangles. In subsequent lessons, students learn about area and the Law of Sines, the Law of Cosines, and angle identities. The chapter concludes with a lesson on double-angle and half-angle identities.

    Objectives:

    • You will learn to verify trigonometric identities. 
    • You will learn to solve trigonometric equations. 
    • By using trigonometric ratios, you will solve real-world problems involving right triangles.


    Quizzes: 2Pages: 10Assignments: 14
  • Chapter 5 - Quadratic Equations and Functions

    Chapter 5 Overview

    This chapter begins by introducing the concept of modeling data with quadratic functions. Students then learn about the properties of parabolas, and how to translate parabolas. Next, students are introduced to factoring quadratic expressions, followed by a lesson on solving quadratic equations by factoring or finding square roots. The chapter continues by introducing students to complex numbers. Students complete the chapter with lessons on solving quadratic equations by completing the square and by using the quadratic formula.

    What You'll Learn Next

    • In Chapter 5, you will learn to use quadratic functions to model real-world data.
    • You will learn to graph and to solve quadratic equations. 
    • You will learn to graph complex numbers and to use them in solving quadratic equations.


    Quizzes: 2Pages: 11Assignments: 16
  • Chapter 6 - Polynomials and Polynomial Functions

    This chapter introduces students to polynomials and polynomial functions. Students begin by defining and identifying polynomial functions. They then learn how to find linear factors of polynomials, and how to divide polynomials. Next students learn how to solve polynomial equations. They also learn theorems about roots of polynomial equations, and the Fundamental Theorem of Algebra. Students then apply what they have learned to solve problems involving permutations and combinations, and then learn the binomial theorem.

    Objectives:

    • You will learn to write and graph polynomial functions and to solve polynomial equations.
    • You will learn to use important theorems about the number of solutions to polynomial equations.
    • You will learn to solve problems involving permutations, combinations, and binomial probability.


    Quizzes: 2Pages: 10Assignments: 11
  • Chapter 7 - Radical Functions and Rational Exponents

    Students begin the chapter with an introduction to roots and radical expressions. Next students learn how to multiply and divide radical expressions. Students then study binomial radical expressions and rational exponents. Subsequently, students learn how to solve radical equations, and are introduced to function operations. The chapter concludes with lessons on inverse relations and functions, and graphing radical functions.

    Objectives:

    • You will extend your knowledge of roots to include cube roots, fourth roots, fifth roots, and so on.
    • You will learn to add, subtract, multiply, and divide radical expressions, including binomial radical expressions.
    • You will solve radical equations, and graph translations of radical functions and their inverses.

    Quizzes: 2Pages: 11Assignments: 13
  • Chapter 8 - Exponential and Logarithmic Functions

    Students begin the chapter by exploring exponential models and properties of exponential functions. These lessons are followed by logarithmic functions as inverses, and properties of logarithms. Students continue in the chapter by learning about exponential and logarithmic equations, and conclude with a lesson on natural logarithms.

    What You'll Learn Next

    • You will learn to use exponential functions to model real-world data.
    • You will learn to graph exponential functions and their inverses, logarithmic functions.
    • You will learn to solve exponential and logarithmic equations.


    Quizzes: 2Pages: 9Assignments: 11
  • Chapter 9 - Rational Functions

    Students begin the chapter by exploring the concept of inverse variation, and learning how to graph inverse variations. Students then study rational functions and their graphs. Students then study how to multiply, divide, add, and subtract rational expressions. They then study how to solve rational equations. Students conclude the chapter by exploring finding the probability of multiple events

    Objectives:

    • You will learn to use inverse variation and the graphs of inverse variations to solve real-world problems. 
    • You will learn to identify properties of rational functions. •
    • You will learn to simplify rational expressions and to solve rational equations.

    Quizzes: 2Pages: 9Assignments: 9
  • Chapter 10 - Quadratic Relations and Conic Sections

    Chapter 10 Overview

    In this chapter, students learn that conic sections are curves that can be formed by intersecting a plane with a double cone. They learn how to graph parabolas, circles, ellipses, and hyperbolas, as well as how to identify the different conic sections from their equations. Students also learn to apply the same techniques that they used to translate parabolas in Lesson 5-3 to translate circles, ellipses, and hyperbolas.

    Objectives:

    • You will learn to use conic sections to model real-world problems.
    • You will learn to graph parabolas, circles, ellipses, and hyperbolas.
    • You will learn to identify the equation of a specific conic section by completing the square.


    Quiz: 1Pages: 2Assignments: 2