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.

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.

The Exponents and Radicals module is separated into two parts -- exponents and radicals.  Each part has two subtopics. Each subtopic has a video lecture page and a practice assignment. The video lecture page includes guided notes in pdf form and videos that follow the guided notes.  There are also Word document versions of the notes in the "files" section of this course for instructor convenience.  Each video lecture page also includes supplemental YouTube videos which are optional for students and may be used if further instruction is needed.  The practice assignment is a set of exercises in Derivita that correspond to the skills covered in the video lecture.There are also two review assignments in this module -- one for exponents and one for radicals.  These assignments cover everything from that part of the module, rather than being broken up into parts like the practice assignments. So there are a total of six assignments in the module and instructors can choose which assignments are most appropriate for their students' needs.This work, by Madilyn Marshall, is licensed under a Creative Commons Attribution 4.0 International License.CC-BY

The Fraction module is separated into five pages.  Each page except the first page has videos and lecture notes. At the end of the entire module are review problems. The review problems are a set of exercises in Derivita that correspond to the skills covered in the lecture pages and the videos.The instructors can choose to assign the practice problems based on their students' needs.This work was created by Kathryn Kozak, and it is licensed under a Creative Commons Attribution 4.0 International License.CC-BY

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.

It is important to expose students to the beauty and usefulness of mathematics. Since computer graphics are familiar to most students due to video games and movies, they make a great source for motivating topics in mathematics. This activity shows students an application of solving quadratic equations to computing the line of sight to spherical objects in computer graphics.

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.

Students work in groups to find a "treasure" using a treasure map with directions written in vector format.

The CyberSquad tries to figure out a table arrangement for 20 workers in this video from Cyberchase.

After their carts collide in a hardware store, two teachers discover that they both bought the same items in different quantities. With limited information, this segment demonstrates how to use an equation to determine the cost of each item.

 The Quadratics module is divided into 4 parts, including (1) solving by factoringm, (2) solving using the square root property and completing the square, (3) solving using the quadratic formula, and (4) solving by graphing. The goal is for students to recognize the strategies for solving quadratics, and even higher degree functions that can employ the same strategies. For each strategy there is a video page and then a practice homework page. The video pages include printable word documents that are the notes. Each video page is followed by a practice homework page in Derivita.This work, by Cheryl Meilbeck, is licensed under a Creative Commons Attribution 4.0 International License.Links to an external site.CC-BY

This simulation allows you to use a slider to see how positive and negative integers add on a number line.

In this seminar you will learn how to solve single step equations. You will apply techniques you have learned regarding addition, subtraction, multiplication and division. You will use the techniques learned in this seminar to verify solutions to various other types of problems as you move forward and solve for missing variables. When solving single step equations, you will use inverse operations to find missing variables and then use substitution to check each problem to verify that your answer is correct.StandardsCC.2.2.HS.D.8Apply inverse operations to solve equations or formulas for a given variable.

We all know that calculus courses such as 18.01 Single Variable Calculus and 18.02 Multivariable Calculus cover univariate and vector calculus, respectively. Modern applications such as machine learning and large-scale optimization require the next big step, "matrix calculus" and calculus on arbitrary vector spaces.
This class covers a coherent approach to matrix calculus showing techniques that allow you to think of a matrix holistically (not just as an array of scalars), generalize and compute derivatives of important matrix factorizations and many other complicated-looking operations, and understand how differentiation formulas must be reimagined in large-scale computing.

This lesson unit is intended to help teachers assess how well students are able to produce and evaluate geometrical proofs. In particular, this unit is intended to help you identify and assist students who have difficulties in: interpreting diagrams; identifying mathematical knowledge relevant to an argument; linking visual and algebraic representations; and producing and evaluating mathematical arguments.

Freebookcentre.net's mathematics section contains links to many technical books offered free online, either as html pages or downloadable pdfs. Books are arranged by subject: algebra, geometry, calculus, differential equations, discrete mathematics, linear algebra, number theory, differential algebra, probability theory, trigonometry, and others.

This lesson unit is intended to help teachers assess how well students are able to translate between graphs and algebraic representations of polynomials. In particular, this unit aims to help you identify and assist students who have difficulties in: recognizing the connection between the zeros of polynomials when suitable factorizations are available, and graphs of the functions defined by polynomials; and recognizing the connection between transformations of the graphs and transformations of the functions obtained by replacing f(x) by f(x + k), f(x) + k, -f(x), f(-x).

In this seminar you will learn how to complete multiple step equations. You will apply techniques you have learned about inverse operations to solve for a missing variable. You will use the techniques learned in this seminar to verify solutions to various other types of problems as you move forward. When solving multiple step equations, you will identify which operation to address first, which second, and so on, until you have the variable all alone and a solution for it. The best part? You can always substitute your answer into the original problem to make sure your answer is correct.StandardsCC.2.2.HS.D.8Apply inverse operations to solve equations or formulas for a given variable.

This lesson unit is intended to help assess how well students are able to interpret and use scale drawings to plan a garden layout. This involves using proportional reasoning and metric units.

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.