Square Roots, Factoring, and the Zero Product Property

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In this seminar you will learn when quadratic equations can be solved using square root techniques, and when they can be solved by factoring and using the zero product property. You will apply techniques you have learned involving radical expressions and factoring. You will use the techniques learned in this seminar to verify solutions to various other types of problems as you move forward. When solving quadratic equations using this method, you will identify the patterns found in the solutions which will allow you to make graphic interpretations of the solutions, as well as allow you to identify when a quadratic function may (or may not) be solved using these techniques.StandardsCC.2.2.HS.C.5Construct and compare linear, quadratic, and exponential models to solve problems.

Material Type: Lesson Plan

Authors: Bonnie Waltz, Deanna Mayers, Tracy Rains

Graphs of Quadratic Functions

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In this seminar you will learn how to graph quadratic functions and how to use these graphs to identify the roots, or solutions, of the function. You will learn how to use different arrangements of the equation in order to locate specific, important points for the graph. You will also learn why the intercepts of the function translate to solutions of the equation.  StandardsCC.2.2.HS.C.5Construct and compare linear, quadratic, and exponential models to solve problems,

Material Type: Lesson Plan

Authors: Bonnie Waltz, Deanna Mayers, Tracy Rains

Slope-Intercept Form

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This seminar will help you to identify a linear equation written in slope-intercept form.  It will also help you to write and graph slope-intercept equations when you are given different pieces of information.  You will be able to make connections between algebraic equations written in slope-intercept form and the real-life situations that they represent.  StandardsCC.2.2.HS.D.10  Represent, solve, and interpret equations/inequalities and systems of equations/inequalities algebraically and graphically.

Material Type: Lesson Plan

Authors: Bonnie Waltz, Deanna Mayers, Tracy Rains

Point-Slope and Standard Form

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This seminar will allow you to identify linear equations written in both point-slope and standard forms.  You will learn how to graph these equations as well as how to convert from one form to another.  You will discover why each form is useful in different ways in order to express different situations.StandardsCC.2.2.HS.D.10  Represent, solve, and interpret equations/inequalities and systems of equations/inequalities algebraically and graphically.

Material Type: Lesson Plan

Authors: Bonnie Waltz, Deanna Mayers, Tracy Rains

Problem Based Module: Airline Travel

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In this project, you will explore a real-world problem, and then work through a series of steps to analyze that problem, research ways the problem could be solved, then propose a possible solution to that problem. Often, there is no specific right or wrong solutions, but sometimes one particular solution may be better than others. The key is making sure you fully understand the problem, have researched some possible solutions, and have proposed the solution that you can support with information / evidence.Begin by reading the problem statement in Step 1. Take the time to review all of the information provided in the statement, including exploring the websites, videos and / or and articles that are linked. Then work on steps 2 through 8 to complete this problem-based learning experience.

Material Type: Lesson Plan

Authors: Bonnie Waltz, Deanna Mayers, Tracy Rains

Domains of Functions

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This seminar will teach you how to calculate the domain of a function when it is written in functional notation. You will learn how to make these calculations when the function has variables in the denominator of a fraction, and/or when the function has variables under a radical. You will learn the importance of mastering this skill so that future studies of functions may be conducted within the restrictions of the domain.StandardsCC.2.2.HS.C.1 Use the concept and notation of functions to interpret and apply them in terms of their context.

Material Type: Lesson Plan

Authors: Bonnie Waltz, Deanna Mayers, Tracy Rains

Graphs of Functions

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This seminar will help you to understand how the graph of a function relates to the function itself, and how to determine the domain and range of a function by examining its graph. It is necessary to be able to determine a function’s domain and range in order to understand how different functions are restricted by their rules. Understanding how to visually interpret functions by looking at their graphs will also allow you to quickly gather important information about the function.  StandardsCC.2.2.HS.C.2 Graph and analyze functions and use their properties to make connections between the different representations.

Material Type: Lesson Plan

Authors: Bonnie Waltz, Deanna Mayers, Tracy Rains

Problem Based Module: Depression and Social Media

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In this project, you will explore a real-world problem, and then work through a series of steps to analyze that problem, research ways the problem could be solved, then propose a possible solution to that problem. Often, there are no specific right or wrong solutions, but sometimes one particular solution may be better than others. The key is making sure you fully understand the problem, have researched some possible solutions, and have proposed the solution that you can support with information / evidence.Begin by reading the problem statement in Step 1. Take the time to review all the information provided in the statement, including exploring the websites, videos and / or articles that are linked. Then work on steps 2 through 8 to complete this problem-based learning experience.

Material Type: Lesson Plan

Authors: Bonnie Waltz, Deanna Mayers, Tracy Rains

What is a Function?

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This seminar will allow you to identify the domain and range of a relation, and then use the relationships that exist in order to determine whether or not the relation is a function. You will define functions, and you will learn how to identify and use functional notation. You will gain an understanding of the concept of a functional relationship which will allow you in the future to study specific functions in depth.StandardsCC.2.2.HS.C.1 - Use the concept and notation of functions to interpret and apply them in terms of their context.

Material Type: Lesson Plan

Authors: Bonnie Waltz, Deanna Mayers, Tracy Rains

Problem Based Module: Exercise and Nutrition for Health

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In this project, you will explore a real-world problem, and then work through a series of steps to analyze that problem, research ways the problem could be solved, then propose a possible solution to that problem. Often, there are no specific right or wrong solutions, but sometimes one particular solution may be better than others. The key is making sure you fully understand the problem, have researched some possible solutions, and have proposed the solution that you can support with information / evidence.Begin by reading the problem statement in Step 1. Take the time to review all the information provided in the statement, including exploring the websites, videos and / or articles that are linked. Then work on steps 2 through 8 to complete this problem-based learning experience.

Material Type: Lesson Plan

Authors: Bonnie Waltz, Deanna Mayers, Tracy Rains

The Pythagorean Theorem

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This seminar will teach you about the Pythagorean Theorem. It will also teach you how to use the converse of the theorem and how to identify Pythagorean triples. You will have to apply the techniques you have learned to simplify radicals, and you will learn how to apply exponential properties. You will be shown visual demonstrations of the Pythagorean Theorem and be asked to connect them to the algebraic models of the Theorem.StandardsCC.2.3.8.A.3.Understand and apply the Pythagorean Theorem to solve problems.

Material Type: Lesson Plan

Authors: Bonnie Waltz, Deanna Mayers, Tracy Rains

Simplifying Square Roots

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In this seminar you will learn how to simplify square roots whose radicands contain factors that are perfect squares. You will learn how to perform these operations on both integers and variables. You will be able to do this by learning how to identify factors that are perfect squares.  These will be necessary skills as you continue to perform operations that contain radical expressions.   StandardsCC.2.2.8.B.1Apply concepts of radicals and integer exponents to generate equivalent expressions.

Material Type: Lesson Plan

Authors: Bonnie Waltz, Deanna Mayers, Tracy Rains

Operations With Radical Expressions

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This seminar will teach you how to perform the four basic mathematical operations on expressions containing radicals. It will also show you how to rationalize the denominator of a fraction that contains radicals. You will apply your knowledge of factorization and perfect squares of both integers and variables in order to simplify the radicals. You will extend your knowledge of simplifying expressions to include those that contain radicals. You will rationalize denominators in order to place expressions in simplest radical form.StandardsCC.2.2.8.B.1Apply concepts of radicals and integer exponents to generate equivalent expressions.

Material Type: Lesson Plan

Authors: Bonnie Waltz, Deanna Mayers, Tracy Rains

Solving Systems of Equations Using Elimination

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This seminar will explore how to solve systems of equations using elimination. You will discover the most efficient methods of preparing a system to be solved using elimination and how to identify the best variable to eliminate.StandardsCC.2.2.HS.D.10Represent, solve, and interpret equations/inequalities and systems of equations/inequalities algebraically and graphically.

Material Type: Lesson Plan

Authors: Bonnie Waltz, Deanna Mayers, Tracy Rains

Substitution

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This seminar will explore how to solve a system of linear equations using substitution. It will also describe what it means for a system of equations to have no solution or infinitely many solutions.  Applications of systems of equations will also be explored.StandardsCC.2.2.HS.D.10Represent, solve, and interpret equations/inequalities and systems of equations/inequalities algebraically and graphically.

Material Type: Lesson Plan

Authors: Bonnie Waltz, Deanna Mayers, Tracy Rains

Graphing Systems of Linear Equations

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This seminar will allow you to solve a system of linear equations by graphing. It will help you to understand what it means when the lines in a system of equations are parallel, and also what it means for the graphs to be the same line. You will learn how to visually identify information about the system of equations simply by examining the graphs of the lines that make up the system.StandardsCC.2.2.HS.D.10Represent, solve, and interpret equations/inequalities and systems of equations/inequalities algebraically and graphically.

Material Type: Lesson Plan

Authors: Bonnie Waltz, Deanna Mayers, Tracy Rains

Problem Based Module: GMOs and Farming

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In this project, you will explore a real-world problem, and then work through a series of steps to analyze that problem, research ways the problem could be solved, then propose a possible solution to that problem. Often, there are no specific right or wrong solutions, but sometimes one particular solution may be better than others. The key is making sure you fully understand the problem, have researched some possible solutions, and have proposed the solution that you can support with information / evidence.Begin by reading the problem statement in Step 1. Take the time to review all the information provided in the statement, including exploring the websites, videos and / or articles that are linked. Then work on steps 2 through 8 to complete this problem-based learning experience.

Material Type: Lesson Plan

Author: Tracy Rains

Graphing Linear Equations

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In this seminar, you will learn how to graph linear equations that have been written in any form.  You will learn the characteristics of intercepts, and also of horizontal and vertical lines. You will discover the various types of information that can be discovered by looking at the graph of a linear equation.StandardsCC.2.2.HS.D.10 Represent, solve, and interpret equations/inequalities and systems of equations/inequalities algebraically and graphically 

Material Type: Lesson Plan

Author: Tracy Rains

Number Properties

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In this seminar you will look at the commutative, associative, and distributive properties to better understand how they are used in mathematics. You may see some similarities among these properties, but you will find large differences as well. These differences are important to recognize when completing problems, or else you will find yourself getting wrong answers. You will also explore identity and inverses, which are used so often in math (often without your even knowing it!).  A majority of the time will be spent on the distributive property as it tends to be the property used most moving forward in math. Understanding these basic number properties is important in working with numbers and equations later in the course.StandardsCC.2.2.HS.D.2Write expressions in equivalent forms to solve problems. 

Material Type: Lesson Plan

Author: Tracy Rains

Order of Operations

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In this seminar you will review the order of operations to ensure that you understand the importance of the order in which to complete addition, subtraction, multiplication, and division, as well as handling exponents and grouping symbols. You will apply techniques you have learned about each of these operations. You will then use the techniques learned in this seminar to verify solutions to various other types of problems and use these ideas in nearly all mathematical problems and formulas moving forward. When using order of operations, you will identify which operation must be completed first, which second, and so on, depending on the problem given.  You will also see how not using the Order of Operations can severely change an answer.StandardsCC.2.2.HS.D.2 Write expressions in equivalent forms to solve problems.

Material Type: Lesson Plan

Author: Tracy Rains