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Preview of Characteristics of Polynomial Functions Notes

Characteristics of Polynomial Functions Notes

Created by
Dana Kick
Notes on a few quick topics my students were struggling with! Intervals of increase and decrease, intercepts, extrema, maximum and minimum, end behavior, domain and range. My special ed students needed some very clear outlined notes on these topics, so I made this for them. Hope you like it too! Stay tuned for practice pages to go with these notes!
Preview of Average Rate of Change and Intervals - Guided Notes and Homework

Average Rate of Change and Intervals - Guided Notes and Homework

Created by
Eddie McCarthy
This lesson is part of my Quadratic Functions UnitThis lesson includes 2 pages of guided notes and a 2 page assignment. Students learn about average rate of change in the order below. They will: - Learn its basic definition (slope between two points on a graph) - Learn and understand its formula - Find the average rate of change for 3 different functions graphically and algebraically - Understand that an average rate of change of 0 does not mean the function was constant over the interval - Ind
Preview of Function Operations & Composite Functions (Notes, WS, Bonus Quiz w/ Answer Key)

Function Operations & Composite Functions (Notes, WS, Bonus Quiz w/ Answer Key)

- A page of Class Notes regarding simplifying functions by using the four basic operations, which includes a new concept called COMPOSITE FUNCTION (A function within another separate function). This topic is designed to be presented after the completion of certain Algebra 1 and/or Algebra 2 topics. -- A 2-page worksheet of practice (With detailed answer key). See "View Preview" to view page one of this worksheet. -- BONUS: In conjunction with my previous section:"Solving Radical Equations - Ext
Preview of 2 x 2 Matrix : Determinant and Inverse (WS, Notes, Pop Quiz w Answer Keys)

2 x 2 Matrix : Determinant and Inverse (WS, Notes, Pop Quiz w Answer Keys)

- Class Notes regarding 2 x 2 matrices and finding their determinants and inverses (Definitions of the Multiplicative Identity Matrix, Multiplicative Inverse of a Matrix, and the Determinant of a 2 x 2 Matrix.)- A worksheet of basic skill practice (With detailed answer key), including work on the following word problem: "A city has a stable group of 45,000 households. Since last year, 84% of the households that used to use carrier A remained with carrier A, while 16% switched to carrier B. 93
Preview of Intro to Complex Numbers / Imaginary Numbers (Notes, WS, Quiz & Answer Keys)

Intro to Complex Numbers / Imaginary Numbers (Notes, WS, Quiz & Answer Keys)

Student tested, teacher approved!** This contribution includes the following: - Class Notes (Two different 'sections') regarding the introduction of complex/imaginary numbers of the form a + bi. - 2-sided worksheet of practice (With detailed answer key), including how to go about graphing complex numbers similar to a standard coordinate plane.- 2 similar quizzes (With detailed answer keys) for students to be assessed as to how much they retained for this topic. Suggested partial credit is pres
Preview of Geometry Unit 4: Angles of Elevation and Depression Trigonometry EDITABLE

Geometry Unit 4: Angles of Elevation and Depression Trigonometry EDITABLE

Complete Unit of Study4 Editable Google Docs included in your purchase:1 Lesson 2 Applications/Practice 1 Quiz Mathematical concepts included:4.1 Angles of Elevation and Depression 4 editable google docs included, with full answer key pdfs for each document.These documents make a complete unit’s worth of materials.Recommended use for 8th-11th grade Geometry.The content is focused on real world math applications.Recommended lesson plan outline is in the preview to view.
Preview of Logarithms : A Basic Introduction (Notes, WS, Pop-Quizzes w/Answer Keys)

Logarithms : A Basic Introduction (Notes, WS, Pop-Quizzes w/Answer Keys)

-- A section of Class Notes regarding the basic introduction of logarithms, along with an explanation of their graphs using inverse functions. -- A "blank page" of notes for students to fill in that correspond with the main teacher notes. -- 2-sided worksheet of practice (With detailed answer keys). See "Preview" to view one of the included worksheet sides. -- 3 similar pop-quizzes (With detailed answer keys) for students to be assessed as to how much they retained for this topic. **Note: For th
Preview of Roots of Polynomial Equations - Rational Root Theorem & Fundamental Theorem Alg2

Roots of Polynomial Equations - Rational Root Theorem & Fundamental Theorem Alg2

· - Class Notes (2 pages) · - 2 total worksheets of practice (With detailed answer keys). See the 'preview page' for an example. Included in these worksheets are the Irrational Root Theorem and the Imaginary Root Theorem. · - 3 similar Pop quizzes (With detailed answer keys) for students to be assessed as to how much they retained for this topic. - BONUS: A "Mock Test" Practice worksheet (2 pages with Answer key) for all polynomial equation topics leading up to (and including) this sectio
Preview of Binomial Radical Expressions - Multiply & Rationalize (Notes, WS, PopQz w/Keys)

Binomial Radical Expressions - Multiply & Rationalize (Notes, WS, PopQz w/Keys)

- A page of Class Notes regarding simplifying binomial rational expressions, the concepts of CONJUGATES and RATIONALIZING THE DENOMINATOR. This topic is designed to be presented after the completion of certain Algebra 1 and/or Algebra 2 topics. -- Worksheet of practice (With detailed answer key). See "View Preview" to view this worksheet. -- 2 similar "Pop Quizzes" (With detailed answer keys) to assess how much information students retained of this topic. **Note: For this topic, a modest to stro
Preview of Introduction to Permutations & Combinations - Probability (Notes, PopQz w/Keys)

Introduction to Permutations & Combinations - Probability (Notes, PopQz w/Keys)

BONUS: 2 pages of introductory review notes for 'Probability' (along with a worksheet and answer key). This is a (free) precursor for this topic of Permutations & Combinations.- 2 pages of Class Notes regarding Permutations and Combinations, along with the concept of the math 'Factorial'. This topic is designed to be presented after the completion of certain Algebra 1 and/or Algebra 2 topics. -- 3 similar "Pop Quizzes" (With detailed answer key), which could also replace/double as review work
Preview of Simplifying Rational Expressions (Notes, Worksheet, Pop Quizzes w/ Answer Keys)

Simplifying Rational Expressions (Notes, Worksheet, Pop Quizzes w/ Answer Keys)

- A section of Class Notes regarding simplifying rational expressions. This topic is designed to be presented after the completion of certain Algebra 1 topics. -- Worksheet of practice (With detailed answer key). See "View Preview" to view this worksheet. -- 2 similar Pop-quizzes (With detailed answer keys) for students to be assessed as to how much they retained for this topic. **Note: For this topic, a modest to strong background knowledge of certain Algebra 1 and 2 concepts is already impli
Preview of Solving Radical Equations & Extraneous Solutions (Notes, WS, PopQuizzes w/Keys)

Solving Radical Equations & Extraneous Solutions (Notes, WS, PopQuizzes w/Keys)

- A page of Class Notes regarding solving radical equations, which includes a new concept called EXTRANEOUS SOLUTIONS (Solutions in certain algebraic problems that appear correct mathematically, but do not 'check out' if you were to attempt to verify an answer's accuracy/existence with its original equation). This topic is designed to be presented after the completion of certain Algebra 1 and/or Algebra 2 topics. -- A 3-page worksheet of practice (With detailed answer key). See "View Preview" t
Preview of Simplifying, Multiplying, Dividing Monomial Radical Expressions (Notes, WS, Qz)

Simplifying, Multiplying, Dividing Monomial Radical Expressions (Notes, WS, Qz)

- A section of introductory Class Notes regarding monomial radical expressions and their simplification, multiplying, dividing (along with adding/subtracting). Note that the terms being simplified are monomials, as is their ability to be 'rationalized' (no radical left in the denominator of a fraction). BONUS: Introductory page of notes regarding simplification of radical expressions.-- Worksheet of practice (With detailed answer key). See "Preview" to view this worksheet. -- 2 similar quizzes
Preview of Solving Polynomial Equations - Finding Zeros Alg 2(Notes, WS, Qz w/ Answer Keys)

Solving Polynomial Equations - Finding Zeros Alg 2(Notes, WS, Qz w/ Answer Keys)

- Class Notes (of large font size for easier presentation viewing) for solving polynomial equations, and introduction of sum/difference of 'perfect cubes'. - 2 pages of practice worksheet (With detailed answer keys).- 3 similar Pop quizzes (With detailed answer keys) for students to be assessed as to how much they retained for this topic.- BONUS: Extra Review Sheet called "It's All About The Zeros!", which practices how to solve for a variable for polynomial equations of many types. - BONUS:
Preview of Piecewise Functions (Algebra 2 - Unit 2)

Piecewise Functions (Algebra 2 - Unit 2)

⭐⭐ This  Algebra 2 Honors lesson provides you with a  customizable and  fully-editable resource of guided student notes, practice set and daily lesson quiz that cover the topics for Functions, Equations and Graphs.⭐⭐ ✅ Lesson 2.5 Piecewise-Defined Functions is a one-day lesson with an emphasis on the learning objectives: ⭐ State domain and range of piecewise functions ⭐ Evaluate piecewise functions ⭐ Graph functions given piecewise defined equations ⭐ Given a graph, write the piecewise function
Preview of Polynomial Long Division , Synthetic Division, Remainder Theorem (WS, Notes, Qz)

Polynomial Long Division , Synthetic Division, Remainder Theorem (WS, Notes, Qz)

- Class Notes of large font size for easier viewing during presentation/lecture(Two different 'sections') for polynomial long division, synthetic division, and Remainder Theorem.- 2 worksheets of practice (With detailed answer keys), including word problems.- 2 similar Pop quizzes (With detailed answer keys) for students to be assessed as to how much they retained for this topic.- BONUS - A Quiz (With detailed answer keys) containing questions regarding this topic and polynomial identification.N
Preview of Linear Relation Assigment Pack (NRF 10, Math 10, Math 10C)

Linear Relation Assigment Pack (NRF 10, Math 10, Math 10C)

Created by
DailyDoseCanada
This is a pack of 5 linear relation assignments that range of converting between forms to systems of equations. Folder Contents:Linear Function Practice (Calculator Active)Linear Function Practice (Calculator Not Active)Parallel and Perpendicular Line PracticeMid Point and Length Practice (using function notation)Systems of EquationsAlthough I personally used these as assignments and notes, they could easily be used as quizzes or tests.
Preview of Factoring Polynomial Foldable

Factoring Polynomial Foldable

Created by
MissSilly
Students will fill in formulas for each type of factoring and complete an example on each. The first page is directions I hung on the wall, I used this as a station. One station was graphing on desmos activity, one stations was with the teacher going over a quiz, and one was this. They rotated in large groups. You could do this as a stand alone activity as well. The directions are for the factoring stations but you can make a copy and edit how you would like. I printed on colored paper but all g
Preview of Parabola : An Introduction, & Graphing Quadratic Equations (Notes, WS, Qz w/Key)

Parabola : An Introduction, & Graphing Quadratic Equations (Notes, WS, Qz w/Key)

-- A section of Class Notes. -- 'blank notes' for students to fill in and follow along with the corresponding completed notes during class. -- A double-sided worksheet of practice (With detailed answer keys). See "Preview" for side one of the worksheet. ** As shown in the first page of the worksheet (preview), word problems exemplify interdisciplinary connections of Parabolas to both Physics and Geometric Area problems.-- 2 similar pop-quizzes (With detailed answer keys) for students to be asse
Preview of POWERS AND EXPONENTS

POWERS AND EXPONENTS

Powers. Positive and Negative Exponents. Exponent Laws. This is a series of worksheets designed to assist students in achieving calculation skills with powers and exponents. Skill scaffolding begins with using positive and negative exponents to describe numbers. The exponents laws for multiplying, dividing, and raising powers is introduced next. The order of operations with exponents follows. The package includes teaching notes for reference, warm-up, worksheets, quizzes and two summative assess
Preview of Unit 3: Everything Rate/Slope: All Representations!

Unit 3: Everything Rate/Slope: All Representations!

Unit 3: Rate & Slope – Complete Linear Functions Teaching ResourceDesigned for Algebra 1 but flexible enough for intervention, review, or enrichment courses, this unit provides everything you need to successfully teach students how to understand, calculate, and apply slope in multiple representations. This resource delivers a step-by-step lesson breakdown that builds student understanding from foundational rate concepts to mastering slope within linear functions. Each lesson includes animated,
Preview of Parallel & Perpendicular Lines | GUIDED NOTES, Worksheets, Informal Assessments

Parallel & Perpendicular Lines | GUIDED NOTES, Worksheets, Informal Assessments

Created by
Math Unraveled
Looking for a structured way to teach or review parallel and perpendicular lines and their slopes? This comprehensive resource helps students explore how slope is used to determine whether lines are parallel, perpendicular, or neither. Originally designed as a review for the start of Precalculus, it also works well in Algebra 2 and Geometry. With scaffolded notes, differentiated worksheets, and informal assessments, this resource supports a wide range of learning needs while aligning with
Preview of Right Triangle Trig Bundle | Sine Cosine Tan | Notes, Practice, Project & Test

Right Triangle Trig Bundle | Sine Cosine Tan | Notes, Practice, Project & Test

Make teaching right triangle trigonometry simple, structured, and engaging with this ready-to-use bundle. This resource walks students through sine, cosine, and tangent from introduction to application, ending with a hands-on project that reinforces understanding. This bundle is perfect for teachers who want a clear progression without having to piece together multiple resources. What’s included: Trigonometric ratios (sine, cosine, tangent) guided notes Solving sides and angles with trigonometr
Preview of Distance Formula and Midpoint Formula FUN Notes Doodle Pages

Distance Formula and Midpoint Formula FUN Notes Doodle Pages

Created by
Joan Kessler
These Distance Formula and Midpoint Formula FUN Notes Doodle Pages with practice will keep your students engaged, learning, and challenged while letting them show their creativity. These FUN Notes are guided notes and practice. They include definitions, formulas, completed examples plus 10 problems including applications for your students to solve. Each topic has two pages of notes, examples, and practice and can be used separately or together. Some problems are challenging and may lead
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