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Preview of Rational Functions Graphs and Key Features and Properties

Rational Functions Graphs and Key Features and Properties

Created by
Joan Kessler
Your students will practice determining the Key Properties of Rational Functions and Their Graphs. There are 11 problems for your students to solve plus a blank problem template for you to customize or create an assessment or homework. Students graph the function and find the: domainrangehorizontal asymptotesvertical asymptotesholesx – interceptsy-interceptsslant asymptotes when applicable. I have included slant (oblique) asymptotes on two problems. These can be omitted if that topic is not
Preview of Rational Functions Graphs and Key Properties with Asymptotes Digital and Print

Rational Functions Graphs and Key Properties with Asymptotes Digital and Print

Created by
Joan Kessler
This activity for Rational Functions is an engaging way have your students practice graphing and determine the Characteristics, Attributes, and Key Properties of Rational Functions in a unique graphic organizer format. Students determine the: domain and rangehorizontal asymptotesvertical asymptotes holesx – interceptsy-interceptsslant asymptotes when applicable for 11 problems. I have included slant (oblique) asymptotes only on the last three slides. These can be deleted if that topic is
Preview of Limits from Graphs plus Notes and HW for Calculus

Limits from Graphs plus Notes and HW for Calculus

Created by
Joan Kessler
This Finding Limits Graphically lesson is designed to give your Calculus students an understanding and fluency of the visual side of limits and will challenge even your best students. What's Included? Guided student notes with four examples. There are two versions, one completed and one left for the students to complete with you in class.24 Task Cards with mostly piecewise continuous functions. Students determine the limits, if they exist, from analyzing the graph. My students found the
Preview of Exponential and Logarithmic Equations Applications Task Cards plus Worksheet

Exponential and Logarithmic Equations Applications Task Cards plus Worksheet

Created by
Joan Kessler
This Applications of Logarithmic and Exponential Equations Word Problems activity will challenge and engage your PreCalculus, AP PreCalculus, and Algebra 2H students. There are 10 Task Cards with real world applications, both exponential and logarithmic, some with multiple parts, all with full solutions. Students answer questions about the applications and the contextual scenarios. Note: There is no regression in this activity. The equations and formulas are given. Included: 10 Task Cards,
Preview of Trigonometric and Polar Functions Anchor Charts Unit 3 AP Precalculus

Trigonometric and Polar Functions Anchor Charts Unit 3 AP Precalculus

This bundle includes thirteen different anchor charts related to AP Precalculus topics for Unit 3: Trigonometric and Polar Functions. There are two versions of each chart. One is a blackline master that is in a template format, while the second version is a full-color completed chart. You can print them to hang in your classroom as you introduce the topics; or, create all of the charts and post them as a year-long reminder. ⭐ What topics are included:16-Point Unit CircleSine and Cosine GraphsS
Preview of Exponential and Logarithmic Functions Anchor Charts Unit 2 (AP Precalculus)

Exponential and Logarithmic Functions Anchor Charts Unit 2 (AP Precalculus)

This bundle includes thirteen different anchor charts related to AP Precalculus topics for Unit 2: Exponential & Logarithmic Functions. There are two versions of each chart. One is a blackline master that is in a template format, while the second version is a full-color completed chart. You can print them to hang in your classroom as you introduce the topics; or, create all of the charts and post them as a year-long reminder. ⭐ What topics are included:Arithmetic SequencesExponential Function
Preview of Polar Graphs Task Cards Matching and Organizers with QR

Polar Graphs Task Cards Matching and Organizers with QR

Created by
Joan Kessler
These Polar Graphs Task Card, Matching Activity with Graphic Organizer Summary will give your Trig, AP PreCalculus, PreCalculus students the practice they need to succeed and are designed to build your students' skills and proficiency and retention on this topic. These activities will reinforce concepts taught in class and will solidify their understanding of Polar Graphs. My students like to explore the subtle differences of the graphs of limacons and cardioids and what makes them loop and
Preview of Rational Functions Graphing Asymptotes and Holes Task Cards Plus HW

Rational Functions Graphing Asymptotes and Holes Task Cards Plus HW

Created by
Joan Kessler
These Graphing Rational Functions - Asymptotes and Holes Task Cards really do work to engage your students and challenge them, while motivating them to go through all of the problems, more so than a simple worksheet. Working in small groups builds confidence as well as skills. What's included?16 Task cards - Your students will find horizontal, vertical, and slant asymptotes, as well as holes. They will also match graphs of a rational functions to their equations. Some questions are multiple
Preview of Average Rate of Change Self-Checking Path Activity Digital & Print

Average Rate of Change Self-Checking Path Activity Digital & Print

Engage students in calculating the average rate of change with this fun, NO PREP, self-checking digital Monster Path Activity (print version available)! Students will have fun watching the monster munch its way through the path as they answer each question correctly. Printable worksheet included for students to show their work. ACTIVITY TOPICS:Students will find the average rate of change... given a function, table, or graphfor linear, polynomial, and exponential functionsincluding word prob
Preview of IB Analysis and Approaches Year1 - Topic 1-2-3

IB Analysis and Approaches Year1 - Topic 1-2-3

This textbook reimagines the mathematics classroom as a laboratory for discovery. Designed for IB Analysis and Approaches Standard Level (Year 1), the book guides students through 40 structured "labs" covering algebra, trigonometry, and functions, the essential foundations of the IB Mathematics curriculum. Each lab follows a consistent, research-informed pedagogical cycle. Students begin independently with a Ready to Learn (RTL) activity, a short diagnostic task completed in the first minutes o
Preview of Graphing the Sine and Cosine and Properties Notes Organizers

Graphing the Sine and Cosine and Properties Notes Organizers

Created by
Joan Kessler
Graphing the Sine and Cosine Functions using their key properties could not be easier for your students to learn to do by hand than with this versatile and engaging resource with notes and step by step graphic organizers. Included in the Lesson: Illustrated Guided Notes on graphing the Sine and Cosine by hand using the 5 Point Method for both the Sine and the Cosine. The notes also include formulas for the properties, including Amplitude, Phase Shift, Vertical Shift, and Period. 16 graphic
Preview of Law of Sines and Law of Cosines - Guided Notes

Law of Sines and Law of Cosines - Guided Notes

These notes, in the style of a graphic organizer, can be used to introduce the Law of Sines and the Law of Cosines (also known as the Sine Rule and Cosine Rule). The notes include examples and "You-Dos" (student practice problems). Complete lesson! Answer key included! *I've used these notes in Pre-Calculus and IB Math Studies. For a follow-up worksheet, check out Practice with Law of Sines and Law of Cosines – Worksheet. Note: This activity is included in my Trigonometry Unit – Bundle of Re
Preview of Unit 1 AP Precalculus Polynomial and Rational Functions Review Activities

Unit 1 AP Precalculus Polynomial and Rational Functions Review Activities

Students practice reviewing Unit 1 Polynomial and Rational Functions from AP® Precalculus with these TWO fun, NO PREP, self-checking digital activities! Printable task cards available for flexibility in your classroom! WHAT'S INCLUDED:1.1-1.6 Level Up Game Review Activity (using Google Sheets) - 20 questions1.7-1.14 Mystery Picture Reveal Activity (using Google Sheets) - 20 questionsPrintable Task CardsAnswer Keys IncludedNote: The two activities are a mix of both multiple choice and short a
Preview of Polynomial & Rational Functions Multiple Choice Monday (Unit 1 AP Precalculus)

Polynomial & Rational Functions Multiple Choice Monday (Unit 1 AP Precalculus)

⭐⭐Multiple Choice Monday Skill Set Unit #1⭐⭐ Use this fully-editable set of 33 multiple choice questions for a fast-paced review of AP-Style questions on topics related to the AP Precalculus Exam. The resource is part 1P of a series for exam preparation covering unit 1 concepts for Polynomial and Rational Functions. Using the product: Teachers can edit the 33 questions to create your own assignment that meets your teaching schedule and needs.Students are expected to complete each multiple-choic
Preview of Limits and Continuity Anchor Charts (AP Calculus-Unit 1)

Limits and Continuity Anchor Charts (AP Calculus-Unit 1)

This bundle includes twelve different anchor charts related to AP Calculus topics for Unit 1: Limits & Continuity. There are two versions of each chart. One is a blackline master that is in a template format, while the second version is a full-color completed chart. You can print them to hang in your classroom as you introduce the topics; or, create all of the charts and post them as a year-long reminder. ⭐ What topics are included:Average Rate of ChangeInstantaneous Rate of ChangeCombination
Preview of AP Precalculus FRQ 4 Test Prep Review Circuit on Trig and Inverse Trig Functions

AP Precalculus FRQ 4 Test Prep Review Circuit on Trig and Inverse Trig Functions

Allow students to self-check their skills with this FRQ 4 Review Circuit! Students will be asked to ... Solve equations using given trig and inverse trig functions. Rewrite function expressions in equivalent forms. Determine the exact values of expressions without a calculator.Write equation to represent a solution set with infinitely many solutions.For a review activity for FRQ 1, check out these task cards! For a review activity for FRQ 3, check out these stations! AP® is a registered trade
Preview of AP Statistics Exam & Test Review Coloring Activity for Units 1–4 from CED

AP Statistics Exam & Test Review Coloring Activity for Units 1–4 from CED

Make AP Statistics review meaningful and fun with this comprehensive coloring activity covering Units 1–4 of the AP Statistics CED. Students answer a variety of difficulty levels of context-rich multiple-choice questions aligned to College Board expectations. Each question corresponds to a coloring region, helping students visually self-check their understanding as they complete the activity. Great to have on hand for a sub day or the unexpected school schedule change.Topics include one-variable
Preview of Matrices Unit Bundle with Digital and Print

Matrices Unit Bundle with Digital and Print

Created by
Joan Kessler
This Unit Bundle on Matrices includes both printable and digital resources including Notes, Task cards, Interactive Activities, Worksheets and Assessments. These resources are designed to build your students' skills and proficiency with Matrices. INCLUDED TOPICS:Introduction to Matrices Properties of MatricesAddition, Subtraction, and Scalar Multiplication of MatricesEqual MatricesThe Zero and Identity MatricesMultiplication of MatricesDeterminantsInverse MatricesUsing the Graphing Calculator
Preview of AP Precalculus Final Exam Review Pack (Print & Digital)

AP Precalculus Final Exam Review Pack (Print & Digital)

A review (print & digital versions included!) covering all four units: Polynomial & Rational Functions, Exponential & Logarithmic Functions, Trigonometric & Polar Functions, and Functions Involving Parameters/Vectors/Matrices. Includes a master formula and identity reference sheet with every equation, identity, and key relationship you need, plus a full practice test of 35 multiple-choice questions and 3 free-response problems modeled on the AP exam format. Complete answer keys with worked solut
Preview of Trigonometric & Polar Functions Multiple Choice Monday (Unit 3 AP Precalculus)

Trigonometric & Polar Functions Multiple Choice Monday (Unit 3 AP Precalculus)

⭐⭐Multiple Choice Monday Skill Set Unit #3⭐⭐ Use this fully-editable set of 40 multiple choice questions for a fast-paced review of AP-Style questions on topics related to the AP Precalculus Exam. The resource is part 3 of a series for exam preparation covering unit 3 concepts for Trigonometric and Polar Functions. Using the product: Teachers can edit the 40 questions to create your own assignment that meets your teaching schedule and needs.Students are expected to complete each multiple-choice
Preview of Special Polar Graphs

Special Polar Graphs

Created by
Math made fun
A guide showing the looks and equations of polar graphs. Great for referencing and introducing these polar graphs.
Preview of Trigonometry Guided Notes - Teacher Edition

Trigonometry Guided Notes - Teacher Edition

High School & Introductory College Trigonometry: These are fully completed, instructor-ready guided notes covering the full scope of a standard trigonometry course that provide clear explanations, mathematically accurate notation, and fully worked examples to support lecture preparation and instructional consistency. These notes align with the topics taught in a standard precalculus trigonometry course, including unit circle, radian measure, trigonometric functions, identities, and equations, ma
Preview of PreCalculus Curriculum Bundle Activities Notes Assessments

PreCalculus Curriculum Bundle Activities Notes Assessments

Created by
Joan Kessler
This PreCalculus Curriculum Bundle with Notes, Organizers, and Activities, includes over 135 Resources which will enhance your lessons and engage your students with rigorous, challenging and fun lessons. It will also supplement your AP PreCalculus course. If you need help organizing the activities for the AP course, please email me. Though this bundle includes engaging activities such as Task Cards, Matching, Mazes, Games, and Coloring, it also contains course content within Flip Books, F
Preview of Polar Coordinates Digital Activities

Polar Coordinates Digital Activities

Created by
Joan Kessler
Your students practice both Graphing Polar Coordinates and also determining equivalent forms of polar coordinates with these fun Polar Coordinates, No Prep, Interactive Digital Activities for PreCalculus and Trigonometry Students first graph 10 points by dragging the points and their coordinates onto a polar grid. On the next two slides there are 10 sets of coordinates or graphs, each with 3 examples. Students analyze the forms for all three, identifying the one which is not equivalent. They
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