338 results
High school precalculus handouts for Microsoft Word
Learning Activities for the Pre-AP* Algebra II and Pre-calculus Classrooms
This book contains interactive learning activities that can be used as exploratory lessons and class discussions to develop topics in Algebra II and Pre-calculus. Topics include a variety of different topics that are typically found in each of these two courses. They are designed to foster analytically thinking that all students need, but that students of Pre-AP* and AP* classes need in order to be successful in AP Calculus and/or AP Statistics. A complete list of topics can be seen by downlo
Subjects:
Grades:
11th - 12th
Types:
Exponential and Log Equation Circuit
This 14 question circuit that I wrote for my Algebra 2 students has problems with log equations, exponential equations, log properties and evaluating logs. It is meant to be completed without a calculator as long as students know some powers of integers from 2-10. There is some work with rational exponents and solving linear equations with fractions also.
Subjects:
Grades:
10th - 11th
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
Transformations of Parent Functions Guide
This is a word document that I use as a hand-out for my pre-calculus students learning about parent functions and their off-spring (I like to call them the "momma" functions as well). Through examples of absolute value, quadratic, cubic, radical, and rational functions, I offer a visual and explanations of transformations. Vertical and horizontal stretches and shifts are the transformations. I left a couple of boxes blank for the students to offer their sketches of the transformed function.
Subjects:
Grades:
9th - 12th
Types:
Long Division of Polynomials Circuit
Students work to complete 12 long division of polynomials problems. They hunt in the circuit for the answer to the current problem. When they find it, that is the next problem they complete. So, the worksheet is somewhat self-checking. If students can't find their answers, then they know they need to find their errors. There are problems with no remainders and some with remainders. There are also polynomials with a constant "a" that the students need to determine which gives a specified re
Subjects:
Grades:
10th - 12th
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
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:
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:
Worksheet - Starter Activity for Standards for Mathematical Practice
I created this as a quick warm-up activity for the first day of my high school math classes. I needed them to think about the wording of the standards and mathematical language in general. I wanted them to connect the Standards for Mathematical Practice to things they would understand in real life. They enjoyed the activity and it allowed them to have something to do while we worked through the "first-day bumps" after Summer vacation.
Subjects:
Grades:
9th - 12th
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:
Graphing Trig Functions Worksheets
Over 20 practice problems of graphing sine, cosine, and tangent. I created these worksheets with scaffolding on the different transformations. I had a hard time finding ones that used accurate scales and gave the students plenty of practice with different types. One of the worksheets has graphs without scales so they can create their own.
Subjects:
Grades:
11th - 12th
Types:
Polar Graphing Exploration
This worksheet was designed to be a self-guided exploration of polar graphs (circles, roses, cardiod, limacon, lines, lemniscate). Students use their graphing calculator to generate graphs and draw conclusions.
Subjects:
Grades:
10th - 12th
Types:
Increasing, Decreasing, Domain, Range, Function Values Graph
It is hard to find graphs for students to be able to identify where a function is increasing, decreasing, constant, domain, range, maximums, minimums, and function values. I have worked really hard over the years to create my own graph to use as practice or even a quiz on these topics.
Subjects:
Grades:
11th - 12th
Types:
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:
Parabola Cheat Sheet
This is a handout for Algebra 2 students that highlights parabolas and all of their properties. It includes domain, range, intercepts, increasing/decreasing intervals, min/max, axis of symmetry, vertex, focus, directrix, and examples of each form. This is intended to be used as a study aid during the parabola unit.
Subjects:
Grades:
9th - 12th
Types:
Limits of Functions Using Critical Points and Dicontinuities
Given a graph, students will find limits of functions using the three types of discontinuities: removable, jump, and infinite. The table provided allows students to find limits using left and right behavior, and determining if it exists from both sides. Also, students will find the functional values at these critical points.
Subjects:
Grades:
10th - 12th
Types:
Quadratics: Factoring with Answer Key
This 2-page, fully editable quadratics packet contains:32 factoring questions, including factoring with a > 1, difference of perfect squares, and factoring out a GCF firstIt makes a great review packet for a high level Algebra class or a low level Pre-calculus class.
Subjects:
Grades:
8th - 12th, Higher Education
Logarithms and Exponentials: Evaluate, Properties, Solving with Key
This 20-question, fully editable assignment could be used as a mini-review or a test. I use it as part of my testing (this is the non-calculator half of the test) before I begin graphing. It consists of:6 simplify problems with exponential expressions, including rational and negative exponents4 evaluate problems with logarithms, including the natural log2 condense problems (use properties of logs to write as a single logarithm)2 expand problems (use properties of logs to expand the expression)
Subjects:
Grades:
10th - 12th, Higher Education
CCSS:
Introduction to Graphing Logarithmic Functions
This small packet helps students learn how to graph logarithmic functions by first rewriting the function in exponential form, then putting values into a table and graphing them. There is one example done by the teacher (you could do more if you like) and there are three problems for the students to try, with different bases. This is a good introduction activity for the first day you start to cover graphing logarithmic functions.
Subjects:
Grades:
8th - 12th
Types:
CCSS:
Attributes of Functions Homework
This file consists of 5 graphs of functions for which students are asked to give domain and range in interval notation, as inequalities and in set notation. They also are asked for intervals of x where the function is increasing, decreasing, positive, negative and constant. For some graphs, students are asked to give intervals of x for which the function is, for example, BOTH positive and decreasing. On the final graphing grid, students are asked to sketch a graph with given attributes. The l
Subjects:
Grades:
10th - 12th
Quadratics: Factoring
This 2-page, fully editable quadratics packet contains:32 factoring questions, including factoring with a > 1, difference of perfect squares, and factoring out a GCF firstIt makes a great review packet for a high level Algebra class or a low level Pre-calculus class.
Subjects:
Grades:
8th - 12th, Higher Education
CCSS:
Also included in:Â Quadratics: Factoring, Solving, Quadratic Formula, Completing the Square
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