Basic Math Reference Sheet
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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
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
Logarithm Rules - PowerPoint & Student Sheet
This is a zipped file that contains:
1) an UNeditable animated PowerPoint with 7 content slides
2) a double sided sheet for students to complete as they view the presentation
I think it should be teacher led when used as an introduction, but students could view the presentation alone or in small groups as a review.
The seven slides:
1. Power Rule
stated with x & y
2 examples with numbers
(shown in Thumbnail 2)
2. Quotient Rule
stated with x & y
2 examples with numbers
(show
8th - 11th
Algebra, Algebra 2, PreCalculus
Multiply and Divide Rational Expressions Guided Notes for Algebra 2 or Math 3
Multiplying and Dividing Rational Expressions | Algebra 2 Guided Notes with Answer KeyNeed a no-prep, editable resource to teach multiplying and dividing rational expressions in Algebra 2? These guided notes walk students step-by-step through the process of simplifying rational expressions before multiplying, factoring to cancel common terms, and converting division problems into multiplication using reciprocals. With clear examples and space for practice, this 3-page guided notes set helps re
9th - 12th
Algebra, Algebra 2, PreCalculus
CCSS
HSA-SSE.A.1a
, HSA-SSE.B.3
, HSA-APR.D.7
Solving Quadratic Equations by the 5 Basic Methods Bundle
There are 5 basic methods to solve Quadratic Equations and they are listed below. This bundle includes individual instructional MS PowerPoint (PPT) slidepacks for each of these 5 solution methods. I initially use the applicable slidepack listed below whenever I cover that specific solution method in the study of the Quadratics Unit in my Math 1, Math 2, Math 3, Algebra 1, Algebra 2 and Precalculus classes. The following slidepacks are included in this bundle: Solving Quadratic Equations by G
9th - 12th
Algebra, Algebra 2, PreCalculus
CCSS
HSA-SSE.A.1a
, HSA-SSE.B.3a
, HSA-SSE.B.3b
+3
12 basic functions
students will have to name all of the important attributes of the 12 basic functions
11th - 12th
Algebra 2, PreCalculus
Unit Circle Pt 2 - Guided Notes - Reference Angles, Sine and Cosine
Make your trig lesson more interactive and effective with these printable, scaffolded guided notes for the unit circle, sine, and cosine. These notes are the perfect companion to your PowerPoint or classroom lecture and are designed to promote deep understanding and student ownership of key trigonometric concepts. ✔️ Students will: Identify and label reference angles Use the unit circle to determine sine and cosine values Learn why trig values are positive or negative in different quadrant
10th - 12th
Algebra 2, Geometry, PreCalculus
Basic Derivative Rules Notes
These notes correspond with my Basic Derivative Rules Power Point. 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.
9th - 12th, Higher Education
Calculus, PreCalculus
Factoring Techniques Note-sheet
This is a factoring note-sheet that I created with notes for: Factoring a Trinomial, Difference of Squares, Greatest Common Factor, Grouping, and By Division
9th - 12th
Algebra 2, Math, PreCalculus
Pre Calculus Formula Sheet
General Pre Calculus Formula Sheet. Could be handed out in grade 10 and used through to Calculus.
9th - 12th, Adult Education, Higher Education
Calculus, Math, PreCalculus
Measure of Position
This is a basic outline of quartiles, deciles, percentiles, and z-scores. I use this when I introduce measures of position to my Probability and Statistics classes. We glue it into our Interactive Notebook and include a sample problem to go with each one.
11th - 12th
Algebra 2, PreCalculus, Statistics
Key Features of Polynomial Graphs Interactive Notes and Student Practice Pages
After you have introduced some basic concepts about polynomial functions and their graph to students, begin introducing them to analyzing the key features of the graph: zeros, turning points, local extrema, intervals where the function is positive & negative, and intervals where the function is increasing & decreasing. These scaffolded notes and practice pages work great for students to understand this complex topic. The only thing students need besides the note or practice page you give th
9th - 11th
Algebra, Algebra 2, PreCalculus
CCSS
HSF-IF.A.2
, HSF-IF.B.4
, HSF-IF.C.7
+1
Also included in: Polynomial Functions Resource Bundle (PrBL PBL Unit)
Key Characteristics of Functions Summary
This MS PPT includes a review of the following 8 basic characteristics for functions. 1. Domain & Range 2. Increasing, Decreasing and Constant Intervals 3. End Behavior 4. Positive and Negative Intervals 5. Maximum and Minimum (Extrema) Values 6. X and Y Intercepts 7. Symmetry 8. MultiplicityThe 48 slides included in this slidepack are very detailed and highly animated. Multiple slides are included for each topic and various function gra
9th - 12th
Algebra, Algebra 2, PreCalculus
CCSS
HSF-IF.A.1
, HSF-IF.A.2
, HSF-IF.C.7a
+3
VECTORS - Describing Directions Guided Notes - PowerPoint
This is a zipped file that contains a double sided pdf notes sheet to work along with a 16 slide animated PowerPoint. In my physics class after learning kinematic equations and before learning projectiles, I do some mini lessons on vector math. Isolating vectors instead of learning in context seems to pay off when we go on to dynamics where the vectors are not in a few limited orientations like they are in projectiles. This lesson introduces 2 naming conventions for describing the direction
10th - 12th
Other (Math), Physics, PreCalculus
Inequality, Set and Interval Notation Summary
This MS PPT presentation provides a very detailed and comprehensive introduction to 3 basic types of notations that are used to define a data set. The Table of Contents of the slidepack is as follows: Notation Types:Inequality NotationSet NotationInterval NotationGeneral Number Data Set ExamplesDomain and Range SummaryNotation Examples:Domain Data SetRange Data SetThe 3 data set notation types are first reviewed in detail in the presentation package. This review is followed by the completion
9th - 12th
Algebra, Algebra 2, PreCalculus
CCSS
HSF-IF.A.1
, HSF-IF.A.2
, HSF-IF.B.4
+1
Differentials & Linear Approximation Lesson | Calculus PPT + Practice Questions
Help your students master differentials and linear approximation with this clear, scaffolded, and engaging lesson designed for Year 11 Maths Methods / introductory calculus. This resource builds understanding from first principles through to application, helping students confidently use dy=f′(x)dx to estimate changes and approximate values. 🔹 What’s Included: ✔ Step-by-step PowerPoint lesson (intro → worked examples → applications) ✔ Visual diagrams (tangent line, dxdxdx, dydydy, and c
4th - 12th, Adult Education, Higher Education
Calculus, Other (Math), PreCalculus
Solving Quadratic Equations using the Square Root Method
This MS PowerPoint presentation provides an easy-to-understand and classroom-tested technique for solving Quadratic Equations by using the Square Root Method. There are 5 basic methods to solve Quadratic Equations and they are: 1. Graphing 2. Factoring and the Zero Product Property 3. Finding Square Roots4. Completing the Square 5. Quadratic Formula This presentation covers Method No. 3 above. I use this presentation in my 10th. 11th and 12th grade math classes (Math 2, Algebra 2 and Pre
9th - 12th
Algebra 2, Math Test Prep, PreCalculus
CCSS
HSA-REI.A.2
, HSA-REI.B.4b
Also included in: Math 3 / Algebra 2 Bundle - Unit 2 Quadratic Functions
Unit Circle - Demystified - 2 PowerPoints, Guided Notes - 2 Google Forms Quizzes
Your students will master the Unit Circle with this 2-Day Lesson Bundle including Guided Notes, Editable PowerPoints with Speaker Notes, and Three Auto-Graded Google Forms Quizzes. Perfect for introducing reference angles, terminal sides, and coordinate-based trigonometric values in high school trigonometry or Algebra 2 classes. Editable Word Documents and PowerPoints make classroom use, differentiation, and digital sharing seamless. ✅ Classroom-Tested, Teacher-Trusted Teaching the unit circl
10th - 12th
Algebra 2, Geometry, PreCalculus
Linear Functions Graphic Organizer and Note Guide
In this organizer, multiple representations of linear functions are displayed in a succinct and connected way. I use this document to help students "frame in" the learning goals, summarize lessons, create a useful reference, and develop sense of function by repeatedly focusing on all four faces(tables, graphs, equations, and situations.) I also find this document useful for planning.
7th - 11th
Algebra, Algebra 2, PreCalculus
Unit Circle Demystified Part 2 - BUNDLE - Lesson, Guided Notes, Google Forms HW
Teach the unit circle with confidence and ease using this comprehensive lesson bundle, designed to save you hours of prep while boosting student engagement and understanding. Whether you’re teaching Algebra 2, Geometry with Trig, or Precalculus, this bundle gives you everything you need for a high-impact class session — no extra materials required! What’s Included: ✅ PowerPoint Lesson Visually rich and concept-focused Introduces reference angles, sine, cosine, and angle rotation Rein
10th - 12th
Algebra 2, Geometry, PreCalculus
Sum and Difference Identities
I've been teaching trig for four years now, and with sum/difference identities, here's where the kids struggle: adding and subtracting fractions, multiplying radical expressions, and finding two numbers that add to a given angle measure. So, I created this scaffolded packet! With a partner, students work together to practice those key skills, then finally apply the sum and difference identities with the help of an embedded reference chart and a unit circle. This packet will be accessible for eve
10th - 12th
Algebra 2, Other (Math), PreCalculus
Chapter 7 Notes (Pre-Calculus 11)
These notes summarize key concepts, formulas, and problem-solving strategies from the Pre-Calculus 11 (BC) textbook. They are organized by unit and topic, with clear explanations and important definitions to support understanding and review. Examples are taken directly from the textbook to reflect the methods and approaches used in class. The purpose of these notes is to reinforce core mathematical skills, prepare for tests and assignments, and provide a quick reference for essential concepts t
11th
PreCalculus
Also included in: Complete Notes (Pre Calculus 11)
Chapter 6 Notes (Pre-Calculus 11)
These notes summarize key concepts, formulas, and problem-solving strategies from the Pre-Calculus 11 (BC) textbook. They are organized by unit and topic, with clear explanations and important definitions to support understanding and review. Examples are taken directly from the textbook to reflect the methods and approaches used in class. The purpose of these notes is to reinforce core mathematical skills, prepare for tests and assignments, and provide a quick reference for essential concepts t
11th
PreCalculus
Also included in: Complete Notes (Pre Calculus 11)
Chapter 5 Notes (Pre-Calculus 11)
These notes summarize key concepts, formulas, and problem-solving strategies from the Pre-Calculus 11 (BC) textbook. They are organized by unit and topic, with clear explanations and important definitions to support understanding and review. Examples are taken directly from the textbook to reflect the methods and approaches used in class. The purpose of these notes is to reinforce core mathematical skills, prepare for tests and assignments, and provide a quick reference for essential concepts t
11th
PreCalculus
Also included in: Complete Notes (Pre Calculus 11)
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