Problem Based Module: The Efficiency of Concession Stands

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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

Compound Inequalities

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This seminar will show you how to identify, solve, and graph compound inequalities.  You will learn the difference between the union and intersection of solutions, and you will also learn the importance of distinguishing between “and” and “or” when constructing compound inequalities.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: Saving the Elephants

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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

Properties of Exponents

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This seminar will introduce you to various properties that are used to simplify expressions containing exponents. You will learn how to multiply and divide expressions containing exponents, and you will also learn what happens when a base is raised to a power of zero. You will have to extend your knowledge of an exponent as an indicator of how many factors of a base must be multiplied, and apply it to combining more than one exponential expression using various operations. This will be achieved by both visually studying the factors, and also applying the properties to concepts such as banking and interest.StandardsCC.2.1.HS.F.1Apply and extend the properties of exponents to solve problems with rational exponents.

Material Type: Lesson Plan

Authors: Bonnie Waltz, Deanna Mayers, Tracy Rains

Exponential Growth and Decay

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This seminar will teach you about special types of exponential functions that model growth and decay. You will learn how to distinguish between the two types of functions and also what types of situations are represented by each. You will learn why the specific values in each type of function have the effect on them that they do, and why the terms “growth” and “decay” are appropriate to describe the types of functions. You will see examples of each type of function and why the specific numbers in the functions have the effects of either making the values grow or decay.  StandardsCC.2.1.HS.F.1 Apply and extend the properties of exponents to solve problems with rational exponents.

Material Type: Lesson Plan

Authors: Bonnie Waltz, Deanna Mayers, Tracy Rains

Graphs of Exponential Functions

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This seminar will teach you how to identify the graph of an exponential function. You will learn how to identify the properties of the function that explain the shape of the graph. The seminar will also show you how to graph an exponential function that you are given. You will learn about the properties of the graphs of exponential functions and how they are related to the properties of exponents. You will be guided through examples of graphing using tables and also using properties of the functions themselves.StandardsCC.2.2.HS.D.7Create and graph equations or inequalities to describe numbers or relationships.

Material Type: Lesson Plan

Authors: Bonnie Waltz, Deanna Mayers, Tracy Rains

Solving Quadratic Equations

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In this seminar will learn how to use the Quadratic Formula to solve quadratic equations. You will learn to place quadratic equations into the appropriate form in order to use the formula, and you will be shown how to correctly interpret the structure of the formula so that all of the calculations are performed correctly. You will have to apply correct and careful order of operations in order to correctly simplify the radicals. You will apply techniques you have learned to simplify radical expressions. You will then interpret your solutions not only as solutions to the equation, but then translate that information to understand how it relates to the graph of the parabola that represents the function.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

Problem Based Module: College and Student Loan Debt

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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

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

Optimizing Pencils in a Tray

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Student groups work with manipulatives—pencils and trays—to maximize various quantities of a system. They work through three linear optimization problems, each with different constraints. After arriving at a solution, they construct mathematical arguments for why their solutions are the best ones before attempting to maximize a different quantity. To conclude, students think of real-world and engineering space optimization examples—a frequently encountered situation in which the limitation is the amount of space available. It is suggested that students conduct this activity before the associated lesson, Linear Programming, although either order is acceptable.

Material Type: Activity/Lab

Authors: Andi Vicksman, Maia Vadeen, Malinda Zarske, Nathan Coyle, Russell Anderson, Ryan Sullivan

Bridging the Gaps

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Students are presented with a brief history of bridges as they learn about the three main bridge types: beam, arch and suspension. They are introduced to two natural forces tension and compression common to all bridges and structures. Throughout history, and today, bridges are important for connecting people to resources, places and other people. Students become more aware of the variety and value of bridges around us in our everyday lives.

Material Type: Activity/Lab, Lesson Plan

Authors: Christopher Valenti, Denali Lander, Denise W. Carlson, Joe Friedrichsen, Jonathan S. Goode, Malinda Schaefer Zarske, Natalie Mach