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)

  • Variables, Function Patterns, Graph, and Rational Numbers

    Overview:

    In this chapter, They write function rules, and identify independent and dependent quantities, as well as a reasonable domain and range for a function. Finally, students make scatter plots and find the mean, median, mode, and range for data sets. These skills are applied as students find theoretical and experimental probability as well as the probability of compound events.

    Objectives:

    • You will explore function rules and learn to identify relationships within functions. 
    • You will show the relationship between two sets of real-world data using a scatter plot.
    • You will learn how to calculate theoretical and experimental probability.


    Quiz: 1Pages: 6Assignments: 5
  • Chapter 3 - Solving Equations

    Chapter 3 Overview

    Students solve equations, and problems involving equations, using deductive reasoning, the Distributive Property, and variables on both sides. They find ratios and rates and solve and apply proportions to problems such as finding missing measures in similar figures. They define variables in terms of other variables, and model distance- rate-time problems. They also find percent of change, find and use square roots, and solve problems using the Pythagorean Theorem.

    Objectives:

    • You will solve equations, including equations with variables on both sides, using properties of equality.
    • You will develop the ability to solve problems by defining variables, relating them to one another, and writing an equation.
    • You will use proportions to measure objects indirectly

    Quizzes: 2Pages: 12Assignments: 17
  • Chapter 4 - Solving Inequalities

    Chapter 4 Overview

    Students extend the skills of the previous chapter, related to solving various kinds of equations, to the solving of inequalities. Many of the procedures used are the same, reflecting the fact that the properties for inequalities are very similar to those for equations. Students solve and graph inequalities using addition, subtraction, multiplication, and division, progressing from one- step to multi-step inequalities, first with the variable on one side only, and then with variables on both sides. They also solve compound inequalities as well as equations and inequalities containing absolute values.

    Objectives:

    • You will learn how to graph inequalities.
    • You will solve inequalities, noting the differences from the methods used for solving equations.
    • You will write and solve compound inequalities by interpreting phrases that use and or or.


    Quizzes: 2Pages: 8Assignments: 8
  • Chapter 5 - Graphs and Functions

    Chapter 5 Overview

    This chapter helps students build on their knowledge of equations by relating a graph to the story it tells and to the equation whose solutions it pictures. Students read and use functional notation as they model function rules with tables and graphs. They also identify direct and indirect variations and find constants of variation. The vocabulary of sequences is introduced. Students find the common difference for an arithmetic sequence and write rules for arithmetic sequences. 

    Objectives:

    ·        You will move from the specific case of equations in one variable to the study of functions in two variables.

    ·       You will learn about function rules, and model data using equations, tables, and graphs.

    ·       You will learn how to use inductive reasoning for recognizing number patterns called sequences.


    Quiz: 1Pages: 10Assignments: 9
  • Chapter 6 Linear Equations and Their Graphs

    This chapter introduces rates of change and defines slope of a line as the ratio of the vertical change to the horizontal change. This leads to graphing a linear equation and writing the equation of a line in three different forms, using the slope, intercepts, or points on the line. From there, the characteristics of parallel and perpendicular lines are examined. All of these topics are applied together to find trend lines and lines of best fit. Finally, the skills for graphing linear equations are extended to drawing the graph of an absolute value equation.

    Objectives:

    • You will learn how to write linear equations and recognize their different forms. 
    • By working with the rate of change, you will understand how the slope of a line can be interpreted in real-world situations. 
    • You will determine whether the graphs of two linear equations are parallel or perpendicular.

    Quizzes: 2Pages: 9Assignments: 10
  • Chapter 7 - Systems of Equations and Inequalities

    Chapter 7 Overview

    In this chapter, students find the solution of a system of linear equations by graphing. They learn the three possibilities for the solution of a system of two equations: parallel lines, lines that coincide, and lines that intersect. This leads to algebraic methods for solving a system of equations, and then to solving problems by writing a system of linear equations. Graphing linear equations is compared to graphing linear inequalities and solving systems of linear inequalities by graphing.

    What You'll Learn Next

    • In this chapter, you will extend your ability to solve equations to include solving a system of two equations with two variables.
    • You will learn methods of solving a linear system, including graphing, substitution, and elimination, and how to determine which method is best for a given situation.

    Quizzes: 2Pages: 7Assignments: 7
  • Chapter 8 - Exponents and Exponential Functions

    This chapter introduces using zero and negative exponents, and evaluating exponential equations. Scientific notation illustrates a common use for exponents. Problems using scientific notation and other exponential expressions illustrate multiplying and dividing powers, raising a power to a power, and raising products and quotients to a power. This leads to work with geometric sequences. Then students evaluate and graph exponential functions and apply this to modeling exponential growth and decay.
    Objectives:

    • You will extend your knowledge about exponents to include zero and negative exponents.
    • You will learn the properties of exponents, and how exponents are used to write a geometric sequence.
    • By making a table of values, you will graph exponential functions.

    Quizzes: 2Pages: 10Assignments: 11
  • Chapter 9 - Polynomials and Factoring

    This chapter helps students build knowledge and skills relative to polynomials--the basic building blocks of algebraic expressions. These skills include combining monomials, binomials, and polynomials using the operations of addition, subtraction, and multiplication. Factoring, the inverse process for multiplying polynomials, is used to factor trinomials, including recognizing certain special patterns and factoring by grouping.

    Objectives:

    • You will categorize polynomials by their degree and number of terms.
    • You will learn to add, subtract, and multiply polynomials.

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

    In this chapter, students extend their skills in graphing and solving linear equations and inequalities to quadratic equations and inequalities. Students apply the skills of the previous chapter as they factor to solve quadratic equations. To prepare for the derivation of the general quadratic formula, students practice completing the square, and then use the quadratic formula to solve any quadratic equation. The discriminant is used to characterize the roots of a quadratic equation. Finally, students use many skills to choose a model that best fits a set of data.

    Objectives:

    • You will examine quadratic graphs and their equations. 
    • You will solve quadratic equations by various techniques such as factoring, finding square roots, completing the square, and applying the quadratic formula. 
    • You will determine an appropriate linear, quadratic, or exponential model for real-world data.


    Quiz: 1Pages: 8Assignments: 9
  • Chapter 11 - Radical Expressions and Equations

    This chapter focuses on the various algebraic and geometric applications that involve using, simplifying, and combining radical expressions. The chapter begins with the various properties that are used to simplify radical expressions. These are then applied to problems using the Pythagorean Theorem, as well as the Distance and Midpoint Formulas, and solving special triangles. Then students solve radical equations, and graph square root functions such as y = , including translating the graphs. Then the solving of right triangles is generalized into the definitions of three trigonometric functions, and applying them to solve triangles, including problems with angles of elevation and depression.

    Objective:

    • You will simplify expressions containing radicals.
    • You will solve radical equations. 
    • You will use trigonometry to find the lengths of sides of right triangles.

    Quiz: 1Pages: 3Assignments: 4