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This document is meant to help students entering an Algebra I course make sure they have the skills to help them be successful. The document has 40 problems chosen from three areas: Algebraic Literacy, Computation, and Algebra. The document can be used in several ways: as a review at the beginning of the school year, as a summative assessment at the end of the school year, as a summer assignment, or as a placement test.

This project asks Calculus students to create their own related rates problem, solve it, and then verify the problem experimentally. Students are asked to work in cooperative groups to complete the keystone of the project: a video that allows them to quantify the variables being explored in their related rates problem. The document has a single page of instructor notes, two pages of student notes and directions, and a final single page with a grading rubric to support the instructor.

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

This bundle arrives just in time to help you celebrate Phi Day on November 23rd, so named for the date's relationship to the Fibonacci sequence: 1, 1, 2, 3, ... This bundle contains 3 sets of activities: The Golden Rectangle, The Fibonacci Sequence, and Spirals. But within those topics the students study Golden Ratio, art and architecture, Pascal's Triangle, are introduced to factorial notation, are introduced to the idea of limits, practice their geometry skills, and learn history about the c

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

This worksheet uses data from two college basketball teams to allow students to explore the normal distribution. Problems focus on z-scores as well as probabilities based on the normal distribution as the students compare the heights of NCAA men's basketball players to the distribution of heights of men in the U.S.

This 3 page activity has the students investigate the relationship between the size of a basketball and the diameter of the rim of the basketball hoop. In addition, students will investigate air pressure inside a basketball and how that translates into force. Students will need formulas for area and circumference of a circle, as well as volume, and surface area of a sphere.

In this practice worksheet, students are given two sets of data: the heights of the players on the University of Kentucky and the University of Connecticut men's basketball teams. Using this data, students explore quartiles, box-and-whisker plots, and outliers. Discussion questions have the students compare and contrast the two plots to make judgments about the data.

This is the third of the activities designed to help you celebrate Phi Day on November 23rd, so named for the date's relationship to the Fibonacci sequence: 1, 1, 2, 3, ... This third activity builds on the first two [Phi Day (1)--Golden Rectangles and Phi Day (2)--The Fibonacci Sequence], but this activity works well as a stand-alone, and does NOT require that activity to be completed first. Like the previous activities, this begins with some basic facts about the number phi. Students then e

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 fun project allows the students' creative side to shine through as they have to research a mathematician (from a provided list) to create a fictional obituary for their mathematician of choice. The strength of this project is that, due to it's nature, it resists the students borrowing from existing work. The nature of it forces the students to synthesize multiple sources in an original, creative format, while learning math history. In addition, this project works for many grade and conte

We have used this study for a number of years as a resource for our students leading up to the state-wide mandated testing at the end of the year. Many students have seen this material in the middle of the school year and need the refresher in forms of equations, slope, parallel and perpendicular lines, graphing equations, writing equations, vertical and horizontal lines and x- and y-intercepts. The first two pages can be used as a stand-alone study guide, while the next four pages are practic

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. The Algebra Minute 'Minder has seven worksheets on the following topics: -Operations with integers -Operations with rational numbers (1) -Operations with rational num

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.

This Factoring Bundle contains the following files: -Bundle overview (a single page detailed description of the products) -Introduction to Factoring Organizer -Both versions of the Factoring Flowchart (black & white and color), with examples -Factoring Practice with Checklists -Factoring Matching Activity

This Smart Notebook lesson has a total 25 slides, with 22 pages factoring content. Techniques of factoring include: factoring a GCF, factoring by grouping, guess and check, splitting up the middle term, slide and divide, perfect square trinomials, the difference of squares, and the sum and difference of cubes. Each of the techniques is immediately followed by between 3 and 5 examples on that specific technique. (Note: none of the examples use multiple techniques of factoring. Those practice