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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 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 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 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 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 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
Preview of Quadratic Functions Foldables (Graphing en vertex, intercept and standard form)

Quadratic Functions Foldables (Graphing en vertex, intercept and standard form)

LookIing for the best reference sheet for GRAPHING QUADRATIC FUNCTIONS in Vertex, Standard and Intercept Form? This FOLDABLE pack will help your students graph their quadratic functions following this guided step by step instruction. Each foldable includes a step by step example so students can use it as a reference. What's included:Vertex Form FoldableStandard Form FoldableIntercept Form Foldable************Tell me about your experience!*************** Please rate and provide feedback
Preview of Simplifying Radicals Worksheet | Square Roots & Radical Expressions | Algebra 1

Simplifying Radicals Worksheet | Square Roots & Radical Expressions | Algebra 1

Created by
LightandLogic
Simplifying square roots is one of the most foundational skills in Algebra 1 — and this resource gives students everything they need to master it. Through structured guided notes and a 63-problem worksheet, students practice simplifying radical expressions from basic perfect square factors through simplifying radicals with variables, quotient properties, and rationalizing the denominator. With 5 real-world word problems and 8 honors-level challenge problems, this complete simplifying radicals wo
Preview of Polynomial & Linear Factors - Zeros and Factor Theorem (Notes, WS, PopQz w/Key)

Polynomial & Linear Factors - Zeros and Factor Theorem (Notes, WS, PopQz w/Key)

- Class Notes with large font size for easier viewing during presentation/lecture time.- Topics revolve around polynomial and linear factoring beyond Algebra 1's 'Quadratic Trinomials, Difference of Two Squares, Perfect Square Trinomial, and Greatest Common Factor'. The idea of "Zeros of a Function", "Standard Form Of Any Polynomial", and the "Factor Theorem" are explained, with examples. Here are the first two opening paragraphs of the notes:"In Algebra I, slope and y-intercept were the key f
Preview of Factoring Polynomials [All Methods] - Lessons, Worksheets, Keys

Factoring Polynomials [All Methods] - Lessons, Worksheets, Keys

Methods involve factoring polynomials with 4 terms, 3 terms and 2 terms. Factoring by grouping, completely, GCF, AC Method, Difference of Squares & Sum/Difference of Cubes! Lesson includes reference sheets, well-though-out examples, and step-by-step answer key. ----------------------------------------------------------------------✫ THIS ZIP-FILE IS ALSO INCLUDED IN MY ENTIRE POLYNOMIALS UNIT BUNDLE!✫ Related Lesson: Solve Equations by Factoring - Which Methods Do I Use?✫ FREE! Related Worksh
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