268 results
Higher education precalculus resources for Microsoft Word
Polynomial Function Project - Roller Coaster
In this project, students learn how to use polynomial function to model roller coaster rides. In this first part, they are given some polynomial functions to find the relative maximum/minimum, increasing/decreasing intervals, x- and y-intercepts, etc. They will explore the average rate of change. In the second part of the project, students are asked design their own roller coaster given some basic criteria. Students should use graphing devices/computer applications to complete this project.
Subjects:
Grades:
9th - 12th, Higher Education
Types:
Graph Paper for Trig Functions
This changes everything! Student work becomes more consistent. Your grading will be so much easier! Using the four aligned graphs makes translations of trig functions crystal clear. This file has 2 pages of coordinate planes for graphing trig functions.The first page contains four blank graphs per page. The axes are unlabeled so that students may select their own scale.The second page has five blank graphs per page and is set up for conducting transformations on the coordinate plane.Please see
Subjects:
Grades:
10th - 12th, Higher Education, Adult Education
Trig Identities - Simplify, Verify, Solve (WS)
This packet has 8 worksheets. (In common core it is an Algebra II topic.)
1 is solving basic trig equations in the first quadrant (10 problems)
1 is simplifying trig expressions (20 problems)
3 are verifying trig equations (total of 22 problems with all of the steps in each equation given)
2 are solving trig equations (total of 15 problems with all of the steps in the process)
1 is using and sum and difference identities (10 problems)
All answers are included.
(They could be used as a Calculus
Subjects:
Grades:
9th - 12th, Higher Education
Types:
A Quadratic Project
Create a quadratic function using your birth date and the form that was assigned to you. Forms are included where you can cut out and have students draw for their form.
Project Aspects include Calculating:
Vertex Form, vertex, max/min value, domain, range, intercepts and graphing.
Rubric and Quadratic Forms Included
Subjects:
Grades:
8th - 12th, Higher Education, Adult Education, Staff
Types:
AP Calculus AB Exam Questions & Answers for ALL Unit Tests, Exams,Quizzes,Review
Nearly 400 Practice AP Calculus AB Multiple Choice Questions and Full Answer Explanations! Microsoft Word file is editable. Perfect for Unit Tests, Quizzes, and review activities. Developed by experienced AP Calc teachers.Test bank is organized into the following topics and units:Limits of FunctionsAsymptotic and Unbounded BehaviorContinuity as a Property of Functions Concept of the Derivative Derivative at a Point Derivative as a Function Second Derivatives Applications of Derivatives Computati
Subjects:
Grades:
9th - 12th, Higher Education, Staff
Types:
Trig Expressions Simplifying Using the Identities (WS)
This worksheet has 20 simplifying trig expressions with the answers.
(It is also one of the worksheets in my packet of "Trig Identites...".)
(In common core it is an Algebra II topic.)
Subjects:
Grades:
10th - 12th, Higher Education
Types:
Functions Review Activity - Matching - Algebra 2
This item is a functions review activity to be used at the end of a functions unit in Algebra 2. Students look at graphs and try to match the different characteristics to each graph. Some graphs may look different but may have some of the same characteristics, which makes this activity challenging. The characteristics included are: domain, range, x and y intercepts, increasing and decreasing intervals, end behavior, and horizontal and vertical asymptotes.
I like to get my students out of the
Subjects:
Grades:
9th - 12th, Higher Education
Types:
First and Second Derivative Tests and Concavity Notes
These notes correspond with my First and Second Derivative Tests and Concavity PowerPoint. Students may follow along as you go through the power point and make their own notes. This hopefully saves time and allows students to focus more on the concept rather than trying to get everything written down.
Subjects:
Grades:
9th - 12th, Higher Education
Graphing Rational Functions Worksheet
This worksheet is 9 questions, but each question has multiple parts for students to graph a rational functions. Students are asked to identify the y intercepts, x intercepts, vertical asymptotes, horizontal asymptomes, and plot a few points. The worksheet is organized for students to display this information. Some examples require students to factor/use the quadratic formula to find the x-intercepts.
This worksheet aligns to algebra 2 standards of secondary math 2 common core standards, or a P
Subjects:
Grades:
9th - 12th, Higher Education
Types:
Vertical Horizontal Slant Asymptotes of Rational Functions
This is a guided note sheet that covers the topic of vertical, horizontal and slant asymptotes. Although this is not a "fun" activity, I think at the PreCalculus level it is necessary to discuss mathematical topics that are thought provoking without clouding the concept. The flow of the lesson has students discuss with the teacher the hows and whys of each asymptote and is followed by how to graph rational functions without the aid of a graphing calculator. The lesson also includes how to det
Subjects:
Grades:
10th - 12th, Higher Education, Adult Education
Types:
Calculus End Of Year Projects (5 TOTAL!)
You are purchasing 5 projects for the end of the year in Calculus. I have my students complete 3 of the 5 projects. This document will be fully editable so if you want to add/change some things you will have the power to do so. Project #1: Math Interest / Presentation Project #2: A to Z - what they learned Project #3: Jeopardy Review Game (you will need to give your students a blank Jeopardy template to use. You can find these online!) Project #4: Song Project #5: Letter to Future Stude
Subjects:
Grades:
11th - 12th, Higher Education
Types:
Trigonometry Bell Ringers / Do Now / Warm Up (over 380 problems w/ Answer Key)
This packet contains over 380 bell ringer problems (AKA do nows or warm ups) for an entire Trigonometry course. Problems are broken up into sets of six (there are a few that are sets of three, but only a few) that can be done on a daily basis. Also contained in the document is a copy of the Bell Work Sheet on page three.
Students receive a Bell Work Sheet at the beginning of the week and do their work each day until they submit their sheet on Friday for the teacher to assess. Each day, the tea
Subjects:
Grades:
9th - 12th, Higher Education
Types:
Precalculus (Midterm Review)
Precalculus (Midterm Review)It covers the first three chapters and the following topics:FunctionsThe x intercept(s), y intercept, and domain of each function below.Symmetry over the x-axis, y-axis, and/or origin.Graphing FunctionsThe average rate of changeRoots with multiplicity, and the y-intercept.Rational functionsThe vertexThe factor theoremThe Remainder TheoremPolynomialLogarithm and Exponential functionsIt is 4 pages of questions and 4 pages of answers. My Quizzes: 4th Grade Word Problems
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Grades:
10th - 12th, Higher Education, Adult Education, Staff
Types:
CCSS:
Polar Coordinates Battleship
This is a polar coordinates battleship game to play with precalculus or calculus students. It helps them to learn about graphing polar coordinates.
Subjects:
Grades:
10th - 12th, Higher Education, Adult Education, Staff
Types:
Alg 2 -- Creating Conics -- Parabola
This is an activity where students work in pairs, read & follow instructions, to create an parabola on paper or waxed paper. Working together, they discover the parts of the parabola. There are also questions to answer so that each pair can discover properties of the parabola. There are similar lessons available for the hyperbola, and ellipse.
Creating A Hyperbola
Creating An Ellipse
I use this lesson as the students first introduction to each conic, then give a lesson the next day. Thi
Subjects:
Grades:
10th - 12th, Higher Education
Types:
Logarithms Unit Test: Two Levels Plus Practice Tests
Word Document--easy to edit! Packet includes two levels of practice tests, step-by-step solutions to use as review, 28-question unit tests, and answer keys. Appropriate for all levels of Algebra 2 and Precalculus, including Honors and Pre-AP.This assessment tests the objectives taught in Lessons 1-6:• Rewriting logarithms• Calculating logarithms to solve equations• Graphing logarithms, inverse functions, and transformations• Expanding and condensing logarithms• Solving logarithmic and exponenti
Subjects:
Grades:
10th - 12th, Higher Education
Types:
PreCalculus Activity Pack
These are things I developed over the years for use in my own PreCalculus classes.
This file contains 36 pages of notes, problem sets, and activities for individual students and for groups. The topics include Linear, Quadratic, Exponential, and Sinusoidal Functions. There are also mathematical themes such as calculator use, mathematical modeling, equation solving, and literacy.
There are 14 individual and group activities, 8 problems sets of various length and complexity, and some pages of not
Subjects:
Grades:
10th - 12th, Higher Education
Types:
Alg 2 -- Creating Conics -- The Hyperbola
This is an activity where students work in pairs, read & follow instructions, to create a hyperbola on paper or waxed paper. Working together, they discover the parts of the hyperbola. There are also questions to answer so that each pair can discover properties of the hyperbola. There are similar lessons available for the parabola, and ellipse.
I use this lesson as the students first introduction to each conic, then give a lesson the next day. This makes it easier for the students to un
Subjects:
Grades:
10th - 12th, Higher Education
Types:
Alg 2 -- Creating Conics -- An Ellipse
This is an activity where students work in pairs, read & follow instructions, to create an ellipse on paper or waxed paper. Working together, they discover the parts of the ellipse. There are also questions to answer so that each pair can discover properties of the ellipse. There are similar lessons available for the hyperbola, and parabola.
I use this lesson as the students first introduction to each conic, then give a lesson the next day. This makes it easier for the students to under
Subjects:
Grades:
10th - 12th, Higher Education
Types:
Discrete Math Notes - Fair Division- Divider Chooser, Lone Divider, Lone Chooser
Discrete Math Notes
Fair Division Unit
Includes...
Divider Chooser Method
Lone Divider Method
Lone Chooser Method
Subjects:
Grades:
9th - 12th, Higher Education
Types:
Linear and Angular Velocity Trig Task Cards
These task cards reinforce linear and angular velocity. There are various types of problems.
* find w, given theta and time
*find v, given s and time
* find w, given rpm
*find v, given w and r
There are some story problems also. Many great ways to use these cards.
Subjects:
Grades:
10th - 12th, Higher Education
Types:
Algebra 2 Rational Root Theorem Take-Home Project
This is a project I have used in both Algebra II and PreCalculus classes to evaluate the Rational Root Theorem. I give them five problems to analyze and determine all the possible real roots using the Rational Root Theorem, Synthetic Division, and the Quadratic Formula. I have used this several time and been happy with the results.
While you (and the students) can verify their answers with a graphing calculator, what's important is the explanation of how they completed the work. The file giv
Subjects:
Grades:
9th - 12th, Higher Education
Types:
CCSS:
Logarithms Desmos Activity
This lesson/activity was designed to have students explore the transformations of logarithms using online graphing software through Desmos.com. This can be used as an independent investigation (if students have access to computers/personal devices) or as a guided lesson. It serves as a great reference tool for the logarithms unit.
Subjects:
Grades:
12th, Higher Education
Types:
Logarithms/Exponentials - Simplifying, Solving, Evaluating, and Graphing w/ Key
This 4-page, editable packet works as a review packet or as an full unit assessment. It consists of:10 multiple choice questions3 "simplify" questions3 "evaluate" questions5 "solve" questions2 "graph" questionsIt covers exponentials and logarithms, all of which should be done without a calculator. Students should know how to convert between exponential and logarithmic form, evaluate logarithms, expand and condense logarithmic expressions, solve exponential and logarithmic equations, and graph ex
Subjects:
Grades:
9th - 12th, Higher Education
Types:
CCSS:
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