Basic Math Reference Sheet
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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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9th - 12th, Adult Education, Higher Education
Algebra 2, Math, PreCalculus
Graphing Rational Functions Cheat Sheet
Graphing rational functions requires a lot of knowledge. I give my students this step-by-step cheat sheet when they practicing, but they know they will not have access to this on an assessment. It walks the students through finding all parts of the graph (asymptotes, intercepts, holes, crossing the horizontal asymptote, vertical asymptote end behavior).
9th - 12th
Algebra 2, Math, PreCalculus
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.
9th - 12th
Algebra 2, Graphing, PreCalculus
CCSS
HSA-APR.B.3
, HSF-IF.B.4
, HSF-IF.C.7c
+2
Completing the Square Cheat Sheet
Step-by-step instruction to putting quadratic equations into the standard form to find the vertex and p-value. Color-coded to help with following steps.
11th - 12th
Algebra, Algebra 2, PreCalculus
Reference Sheet Trig Functions
Completed table for six trig functions and radian measure for all angles between 0 degrees and 360 degrees that are multiples of 30 and 45.
Betty Watson
Completed Trig Functions Chart by Betty Watson is licensed under a Creative Commons Attribution-Noncommercial 3.0 United States License.
11th - 12th
Geometry, Other (Math), PreCalculus
Trionometric Identities Reference Sheet
A reference sheet for students of reciprocal, co-function, even/odd, quotient, Pythagorean, sum/difference, double angle, power-reducing and half angle identities. Included as well are Law of Sines, Law of cosines, Area of a triangle from SSA and Heron's fomrula. Provided in a word document for easy editing if you wish to remove or add a formula. Print on card stock for student use for best results! Despite the thumbnail it does fit on one page.
11th - 12th, Higher Education
Other (Math), PreCalculus
Using Graphing Calculator for Intersect Method: Reference Sheet
A reference sheet to print out for students with instructions on how to use the intersect method for solving equations and finding zeros using a TI-84, TI-89 or TI-nSpire graphing claculator. Step-by-step instructions for students to follow.
9th - 12th
Algebra 2, Math, PreCalculus
Trig Identities Formula Sheet
Basic Trig Identities to use for Identity Proofs or other topics. Microsoft Word (docx) format so can be modified as needed. Used in Algebra 2 Honors and Pre-Calculus CP
9th - 12th
Algebra 2, PreCalculus
Trigonometry formulas and identities Reference Table
A helpful reference sheet about trig formulas and identities.
This is a complete reference table for students who are taking trigonometry or other classes where trigonometry is included.
Law of Sine and Cosine chart is made with color to make it easier for students to make connections between the triangle's angles and sides.
9th - 12th, Higher Education
Algebra 2, Other (Math), PreCalculus
CCSS
HSF-TF.C.8
Points of Discontinuity Notes
Completed notes/reference sheet for points of discontinuity for rational functions. Includes explanations for excluded values, vertical asymptotes, holes, and horizontal asymptotes. Great for use when students are absent!
9th - 12th
Algebra 2, PreCalculus
Asymptotes of Rational Functions Notes
Completed notes/reference sheet for asymptotes of rational functions. Includes vertical, horizonal, and slant/oblique asymptotes. Great for use when students are absent!
9th - 12th
Algebra 2, PreCalculus
Trigonometry Formula Sheet
Trigonometry Formula/Reference Sheet.
9th - 12th, Adult Education, Higher Education
Math, Other (Math), PreCalculus
Algebra 2 Graphing Summary -Linear,Quad,Poly,Rationals,Exp,Logs,Square/Cube Root
This is a reference sheet for Algebra 2 students that can be used throughout the year, or I used it as a summary tool. When I was done graphing logarithms I gave them this and had them do a matching activity to remind them of the shapes and characteristics of all the graphs they have learned thus far in math. This covers graphing the following functions: - Linear - Quadratic - Polynomial - Rational - Square Root - Cube Root - Exponential Growth - Exponential Decay - Logarithmic This covers CCRSM
9th - 12th
Algebra 2, Math, PreCalculus
CCSS
HSF-IF.C.7
, HSF-IF.C.7a
, HSF-IF.C.7b
+3
TI-83/84: Common Error Messages
This is a quick reference sheet I give my students so they don't have to stop class and ask me for help when they receive an ERROR message on their calculators. It shows the most common error messages that they run into during pre-calculus (WINDOW RANGE, INVALID DIM, DIM MISMATCH, SYNTAX) and how to solve it. Many of my students are intimidated by the many buttons of the TI-83/84, especially because it is so much less intuitive than their calculator apps on their phones. They've found this to
9th - 12th
Algebra 2, Graphing, PreCalculus
6 Trigonometric functions chart from 0º to 360º; Unit Circle; degrees and radian
VALUES OF THE SIX TRIGONOMETRIC FUNCTIONS FOR COMMON ANGLESBig chart on 8 1/2 x 14 sheet of paper Includes unit circle to place additional information Also, has 30-60-90, 45-45-90 reference on the back.
11th - 12th
Math, Other (Math), PreCalculus
Parent Functions Matching
This resource is to help students master their parent function knowledge by matching names with graphs and equations. I have used this resource as both a matching and as a reference sheet. To use as a matching, it should be cut in advance. I have also laminated them to use from year to year.
8th - 11th
Algebra 2, Math, PreCalculus
Algebraic Abominations - Pre-Calc and Up Algebra Challenge
This activity got my students getting into arguments about algebra, which was the perfect result! It is appropriate generally for Pre-Calc or later, or potentially late Algebra 2. It includes 31 questions that reference: Multiplication propertiesSimplifying fractionsRadicalsExponent rulesLog rulesTrigonometrye and lnThe file is editable if you want to change or remove a few questions. Adapted from an activity called Algebraic Atrocities (by Susan Margulies), students will be challenged to decid
10th - 12th, Adult Education, Higher Education
Algebra 2, PreCalculus
Honors Algebra 2 Spring Final Exam
This exam consists of 2 sections - Calculator and No-Calculator.
It covers the following topics:
Sequences and Series (2 questions)
Radical and Rational functions, inequalities
Logarithmic and Exponential functions/ equations, graphs, asymptotes, domain, range, etc
Three basic trigonometric ratios to solve right triangles and application problems.
The Law of Sines and Law of Cosines
Co-terminal angle, reference angle
The six basic circular trigonometric ratios to find values of angles.
The
10th - 12th
Algebra 2, Math Test Prep, PreCalculus
Intro to Functions Scaffolded Notes
Scaffolded/guided notes for a high school lesson or refresher on:
Relation vs Function
Domain and Range
Vertical Line Test
Function vs Not a Function
Function Notation
Domain Rules (Square roots and Fractions)
Piecewise functions
Use this as a reference sheet for the first chapter of Algebra 2, Trigonometry, Pre-Calculus, or College Algebra. Students have all of their definitions and examples in one place!
2 pages, formatted with enough space in each section for students to write definitions, d
9th - 12th
Algebra 2, Other (Math), PreCalculus
CCSS
HSF-IF.A.1
, HSF-IF.A.2
Quadratic unit graphic organizer
This is the only graphic organizer you need and can represent weeks worth of lessons in just one sheet. Students will pull this out every time they forget how to factor, complete the square or use the quadratic formula. It will save you a lot of breath telling students to pull this sheet out and reference it every time they ask you "how do you factor again?" I have it printed on green tag board every year to make it easy to find and long-lasting.
10th - 11th
Algebra 2, PreCalculus
Exponent and logarithm rules packet
This workbook is meant to bring students from zero understanding to full understanding of each of the exponent and logarithm rules. The formatting of this was originally made for creating a flip-book, but I've decided that it has grown too large and needs to be it's own workbook. Included are problems that are very basic and concrete to get at the idea, and problems that are far more abstract and require the use of the rules and only the rules to solve. I like the format because it forces stu
10th - 11th
Algebra, Algebra 2, PreCalculus
Unit Circle Trigonometry (Radians and Degrees) Guided Discovery Math Activity
Help your students master the unit circle with this engaging Unit Circle Trigonometry Guided Discovery Math Activity! This resource builds deep understanding of the unit circle in radians and degrees, guiding students step-by-step as they construct, label, and explore the circle themselves. Instead of simply handing them a completed diagram, this activity helps students actively discover key concepts, making it much easier for them to memorize the unit circle and recall it later. During this i
10th - 12th
Algebra 2, Other (Math), PreCalculus
CCSS
HSF-TF.A.2
, HSF-TF.A.3
, HSG-SRT.C.8
Complete Conic Sections Math Pack: Parabolas, Ellipses, Hyperbolas | HS Geometry
Struggling to make conic sections engaging and understandable for your high schoolers? This comprehensive, ready-to-use resource bridges the gap between abstract algebraic formulas and concrete geometric concepts! Say goodbye to blank stares when teaching completing the square or identifying foci. This bundle takes students on a logical journey from basic geometric definitions to advanced, real-world engineering applications. What’s Included:Comprehensive Lesson Plan: A fully structured, explici
9th - 12th
Algebra 2, Geometry, PreCalculus
CCSS
HSG-GPE.A.2
, HSG-GPE.A.3
Trig Functions Blank Sheet
Convert radians to degrees and find the six trig functions for each angle that's a multiple of 30 degrees and 45 degrees between 0 degrees and 360 degrees.
Betty Watson
Sin Cos Chart by Betty Watson is licensed under a Creative Commons Attribution-Noncommercial 3.0 United States License.
11th - 12th
Geometry, Other (Math), PreCalculus
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