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Parabolas and Inverse Functions

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This task assumes students have an understanding of the relationship between functions and equations. Using this knowledge, the students are prompted to try to solve equations in order to find the inverse of a function given in equation form: when no such solution is possible, this means that the function does not have an inverse.

Material Type: Activity/Lab

Author: Illustrative Mathematics

Nonfiction Text Structures

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In this seminar, you will learn about various text structures in nonfiction writing and be able to identify which type an author is using. Understanding these structures will help you determine an author’s purpose and allow you analyze (break down) the author’s message or main points. As you get better at identifying different text structures, you will notice these patterns and apply them to different types of writing: articles, recipes, speeches, etc. Some of this information may be a review; that’s a  good thing. Be sure to apply that prior knowledge to new experiences here, looking for patterns that seem familiar to you. As you recognize those patterns and apply them to new situations, you will be using a skill called abstracting, which helps you understand new or confusing concepts.StandardsCC.1.2.9-10.B: Cite strong and thorough textual evidence to support analysis of what the text says explicitly as well as inferences and conclusions based on an author’s explicit assumptions and beliefs about a subject.CC.1.2.9-10.C: Apply appropriate strategies to analyze, interpret, and evaluate how an author unfolds an analysis or series of ideas or events, including the order in which the points are made, how they are introduced and developed, and the connections that are drawn between them.CC.1.2.9-10.I: Analyze seminal U.S. documents of historical and literary significance, including how they address related themes and concepts.

Material Type: Lesson Plan

Authors: Bonnie Waltz, Deanna Mayers, Tracy Rains

Genetically Modified Insect

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The January 2012 issue of PLOS Neglected Tropical Diseases presented an Editorial, a Viewpoint, and two accompanying Expert Commentaries that focussed on the application of genetically modified (GM) insects for control of animal and plant diseases. These articles describe the technological advances these tools represent, the regulatory framework, and the societal dialogue that is necessary for their wide-scale application for disease control. Here, we have assembled a collection of articles published in the PLOS journals that describe the technical and applied aspects of GM insects. We also included articles that are not strictly GM, but aim to modify the disease transmission traits of insects through the use of symbiotic microbes.

Material Type: Data Set, Primary Source

Calculus I: Implicit Differentiation MGK

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This is a lesson on finding the difference between an implicit and explicit function and finding the derivative of functions implicitly. It also covers finding the equation of a tangent line from a function in implicit form . There are self check throughout the lesson. The text that I use in my calculus class is Larson Calculus 11th edition. This corresponds to chapter 2 section 5 in that text but Implicit Differentiation is a common topic in any Calculus I or AP Calculus course.

Material Type: Lecture, Lesson

Author: Cara Kern

The Monty Hall Problem or How to Outsmart a Game Show and Win a Car

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This lesson teaches students how to make decisions in the face of uncertainty by using decision trees. It is aimed for high school kids with a minimal background in probability; the students only need to know how to calculate the probability of two uncorrelated events both occurring (ie flipping 2 heads in a row). Over the course of this lesson, students will learn about the role of uncertainty in decision making, how to make and use a decision tree, how to use limiting cases to develop an intuition, and how this applies to everyday life. The video portion is about fifteen minutes, and the whole lesson, including activities, should be completed in about forty-five minutes. Some of the activities call for students to work in pairs, but a larger group is also okay, especially for the discussion centered activities. The required materials for this lesson are envelopes, small prizes, and some things similar in size and shape to the prize.

Material Type: Lecture

Author: Sam Shames, Cameron Tabatabaie, Ben Kaloupek

Application of Derivatives

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We use the derivative to determine the maximum and minimum values of particular functions (e.g. cost, strength, amount of material used in a building, profit, loss, etc.).Differentiation is also used in analysis of finance and economics.

Material Type: Simulation

Factoring Polynomials: Common Factor

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In this seminar you will learn how to factor polynomials by looking for a common factor. You will apply the concepts of factoring integers, as well as factoring monomials and looking for the greatest common factor among terms. The techniques learned in this seminar will allow you to factor polynomials with multiple terms, and find solutions using factoring.StandardsCC.2.2.HS.D.3Extend the knowledge of arithmetic operations and apply to polynomialsCC.2.2.HS.D.6Extend the knowledge of rational functions to rewrite in equivalent forms

Material Type: Lesson Plan

Author: Tracy Rains

Remix

Choosing the Correct Inference Procedure: Flow Chart Activity

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This leads students through a G_S_C_E activity to create an Inference Procedure Flow chart for AP Statistics.  great for summarizing inference procedures and helping students prepare for the AP exam. This activity is best done face to face but can be done online as well using flip grid, post-it notes and flow chart sties and weel as good docs or one note.

Material Type: Activity/Lab

Author: Cara Kern

Remix

Adding & Subtracting Polynomials - Online

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It is important to understand polynomials and to be able to classify them based on the number of terms, as well as recognize the coefficients, and degrees. You must also understand how to perform mathematical operations on them. This seminar will focus on combining polynomials using addition and subtraction. It will be important to understand the rules to make sure you are combining only like terms. You will apply techniques you have learned involving exponents and general addition and subtraction rules. You will use the techniques learned in this seminar to verify solutions to various other types of polynomial problems as you move forward. When adding and subtracting polynomials, you will first identify the like terms to combine polynomials to their simplest form.StandardsCC.2.2.HS.D.3Extend the knowledge of arithmetic operations and apply to polynomials.

Material Type: Activity/Lab, Lecture Notes

Author: Maggie Elgert

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