114 results
Precalculus outlines
Polar Functions Graphs Organizers and Summary
This Curves of Polar Functions Graphic Organizer and Summary includes examples of limacons, lemniscates, and polar roses. This a great addition to students’ notebooks and will help them organize these concepts. What's included?8 1/2" by 11" organizer which comes in 2 versions, one with blue graphs to highlight the graphs against the polar grid, and also second version in B/W. A smaller size for students to paste into notebooks that prints 2 to a page.A blank polar graphs sheet with 4 grids.Th
Subjects:
Grades:
11th - 12th, Higher Education
Also included in: Parametric, Polar, and Vector Functions Unit 6 Bundle PreCalculus
Trig Identities and Formulas Flip Book Foldables
These Trig Identities and Formulas Foldable Flip Books are the perfect references for your students. They will use them over and over again. Included in the PDF are two different sized foldable Flip Books, one with all the formulas filled in, and the other with blanks for your students to fill in themselves.Included formulas and identitiesRight TriangleQuotient Identities - Reciprocal IdentitiesPythagorean IdentitiesAngle Addition and SubtractionPower ReducingHalf Angle - Double AngleSum to Pro
Subjects:
Grades:
10th - 12th, Higher Education
CCSS:
Also included in: PreCalculus Analytic Trigonometry Bundle Unit 5
Polynomial Long Division Cheat Sheet
Long Division of Polynomials Cheat Sheet
This is a quick one page cheat sheet that ends all confusion when dividing polynomials.
Two side by side examples of long division clarifies the mystery!
Another example is provided with thought bubbles.
I have found that this is the BEST way to illustrate polynomial long division.
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Subjects:
Grades:
9th - 12th, Higher Education, Adult Education
Types:
Rational Functions Graphing
Rational Functions Graphing
Cheat Sheet and Graph Paper.
****UPDATED**** NOW WITH 11 THOUGHTFUL EXAMPLES
This is a great one page cheat sheet on graphing rational functions.
99% of my students only want notes that fit on one page. They are overwhelmed when presented with multiple pages of notes.
Graphing Rational Functions Cheat Sheet and Graph Paper
This rational function cheat sheet is thorough and concise at the same time and very easy to follow.
The following topics are covered re
Subjects:
Grades:
10th - 12th, Higher Education, Adult Education
Types:
Conic Sections Foldables plus Cheat Sheet HW and Graph Paper
These Conic Sections Graphic Organizers resource for Circles, Parabolas, Ellipses, and Hyperbolas includes notes and formulas for all 4 conics and are invaluable to your students learning about Conic Sections.What's included?A one page reference (cheat sheet) with formulas for all 4 conic sections. 2 versions of the 4 Conic foldables, one with the graphics and formulas filled in and the other with the graphics and space for students to enter the formulas themselves. The foldables require two s
Subjects:
Grades:
10th - 12th, Higher Education
CCSS:
Also included in: Conic Sections Algebra 2 Unit 9 Activity Bundle
Arithmetic and Geometric Sequence, Sum, Nth Term, Cheat Sheet - Foldable
Arithmetic and Geometric Sequence, Sum, Nth Term, Cheat Sheet - Foldable
Please download my free preview.
Create a foldable or just pass out the Series and Sequence cheat sheet, the choice is yours.
This is a comprehensive guide to the Arithmetic and Geometric Series. Summation notation is included along with common difference, common ratio, nth term, sum of a finite sequence and sum of an infinite sequence.
The 3 different versions deal with variations of the nth term formulas.
This fi
Subjects:
Grades:
9th - 12th, Higher Education, Adult Education
Types:
Complex Numbers Operations Guided Notes
These operations with complex numbers guided notes delve into the arithmetic of complex numbers. Students will add, subtract, multiply, and divide with complex numbers. They will learn about the conjugates of complex numbers and use this to find the moduli and quotients of complex numbers. Within the guided notes students connect complex numbers arithmetic to arithmetic with polynomials, analyze errors in completed problems, create their own problems with a given answer, and practice the ski
Subjects:
Grades:
9th - 12th
CCSS:
Graphing Rational Functions Graphic Organizer
Struggling to teach graphing rational functions? Then this resource is for you! This product includes both a blank version as well as 2 possible answer keys, however any rational function can be modeled using this organizer. Use this tool to teach students how to graph any rational function with minimal use of the calculator. Topics include x-intercept, y-intercept, vertical, horizontal, and oblique asymptotes, intersection of the non-vertical asymptote, and points on the graph.
Subjects:
Grades:
9th - 12th
Types:
AP Precalculus 3:8-15 Highlights - Key Concepts, Summary, Reference Review Guide
Help your students retain and apply key concepts from AP Precalculus Unit 3:8-15 (3B). This reference sheet is one sheet of paper (two sided) and is a great reference for students to look back on for unit review and holistic review for the AP Exam. All concepts are aligned to AP Precalculus sections3.11 The Secant, Cosecant, and Cotangent Functions3.12A Equivalent Representations of3.12B Equivalent Representations of Trigonometric Functions3.13 Trigonometry and Polar Coordinates3.14 Polar Functi
Subjects:
Grades:
10th - 12th
Types:
2017-2018 Pre-Calculus Pacing Guide
With 2017-2018 Pre-Calculus Pacing Guide, your planning for the year is done! I've taken the standards and learning targets for Pre-Calculus and organized it for the year. It is one-sheet that is organized and user-friendly. You will know what to teach each day and know what topics are coming up. Non-teaching days are taken into account, such as testing, staff development days, etc. I hope that this helps you in your planning!Please review if you purchase! Thank you!Other 2017-2018 Mathematics S
Subjects:
Grades:
9th - 12th, Higher Education, Adult Education, Staff
2017-2018 AP Calculus AB Pacing Guide
With 2017-2018 AP Calculus AB Pacing Guide, your planning for the year is done! I've taken the standards and learning targets for AP Calculus AB and organized it for the year. It is one-sheet that is organized and user-friendly. You will know what to teach each day and know what topics are coming up. Non-teaching days are taken into account, such as testing, staff development days, etc. I hope that this helps you in your planning!Please review if you purchase! Thank you!Other 2017-2018 Mathemati
Subjects:
Grades:
10th - 12th, Higher Education, Adult Education, Staff
Factoring Quadratic Expressions Reference Sheet
Students need a lot of support and help when it comes to learning AND retaining the ability to factor quadratic expressions. There is a lot for a student to navigate. This reference sheet is a great way to help a student that is struggling, introduce the topic, or provide to students that might be a little "rusty," on their skills.The reference sheet has two pages. The first page works like a flow-chart, walking students through the different factoring techniques and skills they should be fam
Subjects:
Grades:
8th - 11th
Exponential and Logarithmic Functions Student Cheat Sheet & Scaffold
I am happy to share these scaffolds for the unit on Exponential and Logarithmic Functions. Fun fact: I actually created these as cheat sheets for my Algebra 2 classes because they really struggled with the content in this unit but I didn't want them to create their own cheat sheet. My students love them and have kept them as resources for transition courses in college. Definitely try them out in your classes!FYI: When you download this product, you will notice on the second and third sheet that
Subjects:
Grades:
9th - 12th, Higher Education
Factoring Helper for Quadratics and Cubics (7 Factoring Methods)
Use this Factoring Helper to Introduce the 7 common factoring methods:GCF, Factor By Grouping, XBox, Difference of Squares, Perfect Square Trinomial, Difference of Cubes and Sum of Cubes.It includes key concepts, vocabulary, formulas, tricks and examples. Prompt students to use different colored highlighters to emphasize vocab and/or make connections. See Student Example/Answer Key at the end of the document. I force my students to have this out during classwork practice and encourage them to re
Subjects:
Grades:
8th - 12th
Graphing Rational Functions Reference Sheet Notes + Example with Key
This is a note sheet that I made for my AP precalculus students but could also be used in Algebra 2 or precalculus as well. My students were struggling with all of the steps and new notation (especially limits) to graph and describe rational functions. Included are:2 pages of the (domain, holes, interests, asymptotes, sign analysis, features of graphs)1 page Worked Example1 page blank outline with steps - they can use this for practice problems!1 page Worked Example with KEY
Subjects:
Grades:
11th - 12th
CCSS:
Graphing Logs and Exponents
Graphing Logs and Exponents Cheat Sheet
Graphing Logs and Exponents using a table of values.
The following functions are illustrated in complete detail along with the appropriate parent function.
Asymptotes are clearly labeled along with the domain and range of the function.
My students can easily understand how logs and exponents are inverses of each other with the 4 graphs found on one sheet.
Page 1
f(x) = 3(2)^(x +3) − 4
f(x) = −e^(x−3) + 1
f(x) = −3log(x−2) + 1 with a base of 3
f
Subjects:
Grades:
10th - 12th, Higher Education, Adult Education
Types:
Quadratic Equations Reference Sheet - 2 Pages - Vertex, Standard, Graph
Do you need a quick way for students to recall what they've learned about quadratic equations? This reference sheet also works great as a hand-out on the first day of the unit on quadratic equations ... it's a road map, "This is where we're going, kids ... buckle up!"This is a two-page reference sheet that is super easy to read and follow. Both sides deal with standard form and vertex form. One side is highly visual and provides a step-by-step "how-to" for graphing. The other side is more fa
Subjects:
Grades:
8th - 10th
Library of Parent Functions Graphic Organizer
My students have used this graphic organizer throughout the school year as a reference for all the parent functions they are responsible for knowing. The graphic organizer includes the equation, graph, domain, range, locator points (key integer points that are easy to spot), x-intercepts, y-intercepts, and asymptotes (if applicable). You can use it as an activity for students to fill out, or give the answer key as a reference sheet. All the functions you need in one document!
Subjects:
Grades:
9th - 12th
Trigonometry Homework & Quiz - From Conversions to the Unit Circle
For my Pre-Calculus class, I give a weekly homework assignment that covers all material for the week. In this PDF there are 3 of my weekly homework packets plus a quiz.
The topics included the following:
- Conversions Degrees, Radians, Revolutions
- Sketching Angles
- Angular Speed
- Co-Terminal Angles
- Reference Angles
- Arc length
- Right Triangle Trig
- Trig Values given a point
- Unit Circle & Exact Values
Subjects:
Grades:
10th - 12th
Types:
Augmented Matrices, Row Operations and Row-Echelon Form Guided Notes
These notes introduce matrices and matrix notation, rewriting a system of linear equations as an augmented matrix, row operations, and using row operations to get the augmented matrix into row-echelon form in order to solve the system of equations. There are enough problems within the guided notes to use an example for instruction, then have the students practice what was shown using the example. I used these notes in an honors precalculus course, but they could also be used in an advanced alg
Subjects:
Grades:
10th - 12th
Types:
CCSS:
Graphing Polynomials Graphic Organizer
Struggling to teach graphing polynomials? Then this resource is for you! This product includes both a blank version as well as an answer key. Use this tool to teach students how to graph any polynomial with minimal use of the calculator. Topics include zeros, y-intercept, end behavior, turning points, and minima/maxima.
Subjects:
Grades:
9th - 12th
Types:
Calculator Inventory Template (Pencil Background)
Introducing the ultimate solution for teachers seeking an efficient and organized way to manage their classroom resources—the Calculatory Inventory Template PDF!Designed exclusively for educators, this meticulously crafted digital tool revolutionizes inventory management, ensuring teachers can focus on what truly matters: creating a dynamic learning environment for their students.Our Calculatory Inventory Template PDF is a comprehensive and user-friendly resource that streamlines the entire inve
Subjects:
Grades:
Not Grade Specific
Calculator Inventory Template (Minimalist Background)
Introducing the ultimate solution for teachers seeking an efficient and organized way to manage their classroom resources—the Calculatory Inventory Template PDF!Designed exclusively for educators, this meticulously crafted digital tool revolutionizes inventory management, ensuring teachers can focus on what truly matters: creating a dynamic learning environment for their students.Our Calculatory Inventory Template PDF is a comprehensive and user-friendly resource that streamlines the entire inve
Subjects:
Grades:
Not Grade Specific
Introduction to Precalculus: Function
This set of precalculus cards includes the basic elements of function. Each card covers the lesson with definitions of related math terms explained with diagram and graph. When sample problems are helpful to understand the topic, they are included with complete solution so that students may learn how to solve such problems completely and correctly. This set of cards can be used as an outline in class or provided to students to review and study.Lessons included in this product are listed below.Ch
Subjects:
Grades:
9th - 12th
Types:
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