MathxMath

This first page of this document is a 12 problem circuit, requiring that students use multiple techniques of factoring, including: GCF factoring, factoring by grouping, difference of squares, sum of cubes, difference of cubes, perfect square factoring, and general trinomial factoring (without reference to the specific technique being used). Additionally, two problems require multiple stage factoring. The second page is an answer key. I am offering this resource without charge because, though t

The first page of this resource discusses the "short cuts" to determining the end behavior of rational functions, while at the same time referencing the limitations. Graphs of functions are given to visually support those rules. Page two is a brief five problem practice worksheet and page three is the answer key for the worksheet. At the moment I am considering this a "mini resource" and offering if free of charge. I would appreciate feedback from anyone who uses it on how to improve this re

We have given this 40 question summer assignment for many years to students who have completed our Pre-Calculus/Mathematical Analysis courses and have enrolled in Calculus for the following year. The idea is for students to review concepts taught from previous courses that will be necessary for their success in Calculus. All of the problems have been chosen with the hindsight of many years of Calculus instruction. Problems include writing equations of lines, evaluating trigonometric expressio

The first (and primary) exploration in this activity has students use a ruler (marked in cm) and a protractor to draw triangles that meet various given conditions. The intent is to help students arrive on their own the possibilities presented when given two sides and a non-included angle. It is hoped when students *cannot* form a triangle, or *can* form two triangles, that they will construct an understanding that goes deeper than what can be generated in a lecture-style format. This activit

This bundle contains 3 files: the primary file is a applet named "Series" that requires JAVA 8. "Series" in a dynamic and interactive way to introduce students to sequences and series, especially with respect to the convergence and divergence of the series. The applet promotes an inquiry-based learning approach, allowing students to create and explore series of their own creation. Also included in the bundle is a single page "User Guide to the 'Series' Applet." The final document contains a

This document provides a summary of the function transformations, including: translations, reflections, and dilations. The document is meant to be a resource for students as they practice their transformation skills. This update contains a second page with two modeled examples to demonstrate how the transformation summary on the first page may be used to sketch the graphs of two sample functions (quadratic and square root).

This file has two activities. The first activity is meant to be a warm, where the students enter the room, are given either an equation or a graph, and then have to find their match. The activity provides cards for a class of up to 40 students. The second activity has students completing, in pairs, graphs of transformations--each with at least 3 transformations. Space is provided for the students to work, with graph paper adequate to graph the problem they are working on.

This document is packed with 12 pages of Pre-Calculus information that will be helpful for the Calculus student to have at their fingertips. The references include: basic rules of algebra (laws of exponents, special products, special factoring), common values of trigonometric expressions, 21 common parent functions with domain and range provided, common formulas from geometry and analytic geometry, and 25 of the most common trigonometric identities.

The "Minute 'Minders" series is designed to be a set of worksheets that can be used to review prerequisite concepts in a given class. They are meant to be used as quick warm-ups (each a single page) to refresh students' memories about concepts they are already familiar with, but in our teaching experience they may have forgotten. This Calculus Minute 'Minder set has six worksheets on the following topics: -Evaluating Trigonometric Expressions (degrees and radians) -Writing Linear Equations (sl

This document contains the color version of our Factoring Flowchart, teacher notes and a model example on factoring, an 8 problem student worksheet, and an answer key with each problem worked out step-by-step.

This resource has two components. First, students are randomly given either a compound interval notation statement (either a union or an intersection, with either inclusive or non-inclusive endpoints) or the resulting graph of the statement. Students need to find their correct match, creating a partnership for the next activity. In the second part, students have four compound inequalities to solve, graph, and then write the resulting solution set in both set builder and interval notation.

This document contains the black and white version of our Factoring Flowchart, teacher notes and a model example on factoring, an 8 problem student worksheet, and an answer key with each problem worked out step-by-step.

This six page document contains: one page of instructor notes, a single page main activity, two pages of follow up activities, and a two page answer key. In the primary activity the students explore the properties of commutativity, associativity, and closure, as well as identities and inverses. The exploration centers on a 5-element set where a novel operator is defined by a 5x5 matrix. Activity two focuses on traditional definitions of inverses and identities, while the third activity allows