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Preview of Special Right Triangles: Proving/Practice BUNDLE w/BONUS Poster!

Special Right Triangles: Proving/Practice BUNDLE w/BONUS Poster!

Created by
Brooks Jones
Help your geometry students understand the “why” behind the algorithms for special right triangles with this 7-page investigation and guided notes activity. Your students will use the Pythagorean Theorem and the properties of isosceles and equilateral triangles to discover how to solve for any side of a 45-45-90 and 30-60-90 triangle. Clear diagrams and step-by-step algebraic proofs allow students to develop the foundational understanding for working with these common right triangles, ensuring a
Preview of QVIII - Getting Ready for Completing the Square

QVIII - Getting Ready for Completing the Square

Created by
Jane Gillette
Completing the Square (CTS) doesn’t have to be a memorized algorithm. This worksheet gives students a chance to put together the puzzle pieces that are needed to figure out "what goes where" when doing CTS. First they square some binomials, then use those patterns for fill-in-the-blanks equations. Finally, they have problems to encourage them to think about the role of parentheses in CTS. This is ready to print, or to assign as an online Easel Activity. The digital version is ready-to-use, but y
Preview of Algebra 2H 4.09 Matrix Algebra Day 1 Spring 2017 (Editable)

Algebra 2H 4.09 Matrix Algebra Day 1 Spring 2017 (Editable)

Created by
Peter Jonnard
This worksheet is designed to help students with the topic of matrix algebra, including an algorithm for multiplying matrices visually, the identity matrix, and how we use the concept of an inverse matrix instead of "division" of matrices. I start out class with several examples of what today's lesson will be about. Once we finish doing the notes together, I have them get to work within their groups on this worksheet. I use this activity within cooperative groups, and I circulate to make sure
Preview of Integers & Congruences Workbook – 120 Exercises + Answer Key

Integers & Congruences Workbook – 120 Exercises + Answer Key

Created by
Mr Ouis
This print-and-go number theory workbook builds real fluency with 120 carefully sequenced exercises—from divisibility and the Euclidean algorithm to modular arithmetic, linear congruences, Chinese Remainder Theorem, modular exponentiation, units & orders, quadratic residues, arithmetic functions, Diophantine equations, and practical applications (checksums, hashing, toy RSA). Complete answer key included for every problem—perfect for classwork, homework, enrichment/contest prep, tutoring, o
Preview of Integers & Congruences Workbook – 120 Exercises with Answer Key

Integers & Congruences Workbook – 120 Exercises with Answer Key

Created by
Mr Ouis
Build real number-theory fluency with this print-and-go workbook of 120 carefully sequenced exercises—from divisibility and the Euclidean algorithm to modular arithmetic, linear congruences, the Chinese Remainder Theorem, modular exponentiation, units & orders, quadratic residues, arithmetic functions, Diophantine equations, and classroom-ready applications. A complete answer key is included for every problem, making it perfect for classwork, homework, enrichment/contest prep, tutoring, o
Preview of Integers & Congruences Workbook – 120 Exercises + Answer Key

Integers & Congruences Workbook – 120 Exercises + Answer Key

Created by
Mr Ouis
Build real number-theory fluency with this print-and-go workbook of 120 carefully sequenced exercises—from divisibility and the Euclidean algorithm to modular arithmetic, linear congruences, the Chinese Remainder Theorem, modular exponentiation, units & orders, quadratic residues, arithmetic functions, Diophantine equations, and classroom-ready applications. Perfect for classwork, homework, enrichment/contest prep, tutoring, or exam review. A complete answer key is included for every prob
Preview of Grade 9 to 12 Martin Luther King Math Algebra Linear Function Statistic Model

Grade 9 to 12 Martin Luther King Math Algebra Linear Function Statistic Model

Help students analyze modern digital data through the lens of fairness, equity, and truth with this 10-page, black-and-white Influencer & Algorithm Analytics worksheet pack for Grades 9–12. Designed for Martin Luther King Jr. Day and beyond, this resource uses realistic (fictional) influencer and algorithm data to teach students how raw numbers can mislead and why fair mathematical comparisons matter. Across linear and exponential growth, percent change, ratios, and functions, students learn
Preview of Polynomial Long Division Algebra 2 Lesson: Guided Notes, Homework, Exit Ticket

Polynomial Long Division Algebra 2 Lesson: Guided Notes, Homework, Exit Ticket

This Algebra 2 lesson introduces students to the process of polynomial long division, helping them divide a polynomial by a binomial using a structured, step-by-step algorithm. Students will learn how to organize their work, subtract terms carefully, and interpret both the quotient and remainder of a division problem. The lesson breaks down the process in a clear and approachable way which is perfect for students encountering polynomial division for the first time or needing a solid review. Th
Preview of Factoring Lesson 4: Factoring trinomials when a = 1 (AC Method)

Factoring Lesson 4: Factoring trinomials when a = 1 (AC Method)

Factoring trinomials whose leading coefficient (a) is 1. Notes included. I do not teach the "guess and check" method of factoring; students struggle with it because there is no process. The "AC method" uses a process/algorithm to easily factor a trinomial; it relies on the concept of factoring by grouping. 1. Multiply a and c 2. Find factors of "ac" that add up to "b" 3. Rewrite "bx" using the factors you found 4. Factor by grouping Because of this method, the only "new" thing between thi
Preview of Lesson 11: Rationalizing the Irrational

Lesson 11: Rationalizing the Irrational

Created by
I Heart Numbers
Students use the concept of a perfect square to compute the square root of a number that is a non-perfect square. They use this to develop the concept of an irrational number. They then reflect upon their process to develop an algorithm to more precisely estimate square roots.
Preview of Complete Linear ALGEBRA & Graph Theory Lesson Series | High School GRADE 10 - 12

Complete Linear ALGEBRA & Graph Theory Lesson Series | High School GRADE 10 - 12

Elevate your high school math curriculum with this four-unit lesson series on Linear Algebra & Graph Theory, meticulously designed for Teachers Pay Teachers. This printable and digital bundle provides everything you need to teach matrices, adjacency matrices, matrix powers, and the Dijkstra routing algorithm in a coherent, engaging sequence. Perfect for the secondary, upper secondary, and AP math classroom. Series Breakdown: Unit 1 – Foundations of Matrices & Graph Models Definitions
Preview of Patterns and sequences

Patterns and sequences

Patterns and sequences are the language of prediction, allowing students to see the underlying order in data and forecast future events. This skill is used by scientists to track population growth, by economists to predict market trends, and by computer programmers to create loops and algorithms. By learning to identify the "rule" of a sequence, students move from simple observation to functional thinking, which is the primary cognitive bridge between elementary arithmetic and high school calc
Preview of Completing the Square Math Drills - Printable Worksheet with Answer Key

Completing the Square Math Drills - Printable Worksheet with Answer Key

Sharpen Skills in Solving Quadratics with this Completing the Square Math Drills Printable WorksheetEnhance quadratic solving skills with this Completing the Square Math Drills NO PREP resource. This 2-page printable PDF packs a punch with 40 math problems, offering diverse exercises to reinforce the algorithm for completing the square. Comprehensive Algebraic MethodsFrom dividing by the leading coefficient on both sides, taking half of the coefficient of x and squaring it, to writing the polyno
Preview of Linear Algebra & Graph Theory - 16:9 PowerPoint Presentation

Linear Algebra & Graph Theory - 16:9 PowerPoint Presentation

This 16:9 PowerPoint presentation on Linear Algebra & Graph Theory is the perfect ready-to-teach resource for high school and upper secondary math classrooms. Designed specifically for Teachers Pay Teachers (TPT), this no-prep, printable and digital resource covers all key concepts in matrices, adjacency matrices, matrix powers, and the Dijkstra algorithm for routing and network analysis. Every slide features at least five detailed bullet points (15+ words each) to ensure depth and cl
Preview of Algebra 2 Class and Remote Work

Algebra 2 Class and Remote Work

Algebra 2 is a foundational course that many math courses to follow will build off of. With the basic frameworks of Algebra 1 and Geometry, Algebra 2 looks at a variety of mathematical expressions, functions, shapes, and more. New approaches to problem-solving will help create connections to how past and new mathematical algorithms are interconnected. This quick course focuses on building a solid basis for your year-round class by looking at the properties of polynomials and how to manipulate th
Preview of Synthetic Division Practice - Fun Riddle

Synthetic Division Practice - Fun Riddle

A quick worksheet I made to help students with identifying a remainder when using Synthetic Division. I used this for my Algebra 2 class that consists of 10th - 12th graders. Outcome: Students will be able to use Synthetic Division to identify a remainder in order to solve a holiday riddle. Essential Question: How can you use a similar algorithm to divide polynomials, and what does the quotient indicate about factors of the polynomial? Key Vocabulary: Factor Theorem Polynomial long divisionR
Preview of Math - G8 | Linear equations (one variable) |

Math - G8 | Linear equations (one variable) |

Key Cognitive Benefits for Students Development of "The Balance Mindset": Students learn that an equation is a physical relationship. The concept of "doing the same thing to both sides" reinforces the idea of equality and logical consistency.Inverse Operation Mastery: It teaches students to "think backward." Understanding that division undoes multiplication and subtraction undoes addition is critical for troubleshooting and debugging in technical subjects.Translation Skills: Word problems force
Preview of Ultimate Bundle: LINEAR ALGEBRA & GRAPH THEORY Lesson Series + Slides

Ultimate Bundle: LINEAR ALGEBRA & GRAPH THEORY Lesson Series + Slides

Save time and money with the Ultimate Bundle for Linear Algebra & Graph Theory—a comprehensive package combining our four-unit lesson series and 16:9 PowerPoint presentation in one cost-effective download on Teachers Pay Teachers. This all-in-one bundle equips you with everything needed to teach complex topics like matrices, adjacency matrices, matrix powers, and the Dijkstra routing algorithm in engaging, standards-aligned lessons. What’s Inside the Bundle? PowerPoint Presentation (12
Preview of Systems of Linear Equations | Elimination method |

Systems of Linear Equations | Elimination method |

Why this is useful for students This module provides a rigorous academic framework for multi-variable reduction. By mastering elimination, students move from "replacement" to simultaneous manipulation. This transition fosters the analytical skills necessary to see mathematical operations as a long-term evolution of logic, moving from basic arithmetic to the Gaussian elimination used in linear algebra, the signal interference cancellation in audio engineering, and the complex optimization algor
Preview of Integers & Congruences Workbook – 120 Exercises + Answer Key

Integers & Congruences Workbook – 120 Exercises + Answer Key

Created by
Mr Ouis
Build real number-theory fluency with this print-and-go workbook of 120 carefully sequenced exercises—from divisibility and primes to modular arithmetic, linear congruences, the Chinese Remainder Theorem, modular exponentiation, units & primitive roots, quadratic residues, arithmetic functions, Diophantine equations, and applied topics (ISBN checks, hashing, toy RSA). Perfect for classwork, homework, contest prep, or review; a complete answer key is included for every problem. Topics
Preview of Polynomials - Mathematics | Algebra 2

Polynomials - Mathematics | Algebra 2

Created by
Letstute
This document includes: 1) Definition 2) Application 3) Components 4) Degree of Polynomials 5) Types of Polynomials 6) What does not make a polynomial? These basics will help to understand the further concepts better." "Zeros of polynomial is nothing but the root or we can say tha value of 'x' that makes the polynomial equal to zero. 1) The various Types of Polynomials(Linear, Quadratic, Cubic etc) 2) Co-efficient of polynomials 3) Zeros of a Polynomial 4) Relation between zero and coefficient
Preview of Inverse Relations and Functions Worksheet | Algebra 2 | Bilingual

Inverse Relations and Functions Worksheet | Algebra 2 | Bilingual

Created by
Profesora Ortiz
Master Inverse Relations and Functions with this Scaffolded Bilingual Worksheet!Are your Algebra 2 or Pre-Calculus students working on switching inputs and outputs, or learning to verify inverses algebraically? This bilingual (English & Spanish) worksheet guides students step-by-step from foundational true/false properties to linear reversals, radical functions, visual reflections, and composition proofs! 🔍 What’s Included?Part 1: Basic Concepts 🧠 – A rapid True/False conceptual check focusin
Preview of Completing the Square Lesson | Step-by-Step Notes, Worksheet & Answer Key

Completing the Square Lesson | Step-by-Step Notes, Worksheet & Answer Key

Created by
Solve It Studio
⭐ Completing the Square | Scaffolded Lesson | Step-by-Step Notes, Worksheet & Answer KeyTake students step by step through solving quadratics by completing the square with this comprehensive, scaffolded worksheet! Designed for Algebra 1, Geometry, and Algebra 2, this print-and-go lesson builds student understanding from perfect squares all the way to solving quadratic equations with simplified radical answers. Scaffolded approach starting with perfect square reviewGuided examples with step-by-st
Preview of Solving 5 different types of equations practice

Solving 5 different types of equations practice

Created by
Debug and Run
A great study tool to help students see the different type of equations they will need to know how to solve in the beginning of Algebra 1. 1) one step equations: multiply by the reciprocal or divide (5 problems) 2) one step equations: add or subtract (5 problems) 3) two step equations: add or subtract first then multiply by the reciprocal or divide (10 problems) Multi-Step equations: 4) distributing (5 problems) combine like terms (5 problems) 5) variables on both sides (6 problems) I found
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