Function Notation
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End Behavior of Rational Functions Notes and Matching AP PreCalculus
Give your PreCalculus and AP® Precalculus students a fun and engaging way to practice finding End Behaviors of Rational Function with these two unique learning activities. First is an interactive foldable with explanations and examples of the 4 Cases of Rational Function End Behavior including Oblique Asymptotes and Asymptotes which mimic Polynomials. The second part of this resource is a matching activity. Students determine the end behavior of 10 Rational Functions and match end behavio
10th - 12th
Math, PreCalculus
CCSS
HSA-SSE.A.2
, HSA-APR.B.3
, HSA-APR.D.6
+2
Also included in: AP PreCalculus Unit 1 Polynomial and Rational Functions Activity Bundle
Evaluating Inverse Trig Functions Foldable Organizer
This Evaluating Inverse Trig Functions Foldable Organizer will help your students grasp the concepts and also get practice with Composite Inverse Trig Functions. Your students fill-in the properties and then practice 16 well chosen representative problems. Also included are 6 completed examples for reference. Problems include straightforward problems such as sin_inverse(1/2) and more complex problems like sin(sin_inverse of π/2) or arcsin(sin(3π)). Both notations, sin^-1 and arcsin for i
10th - 12th
Math, Other (Math), PreCalculus
Also included in: AP PreCalculus Unit 3 Trig Functions Activity Bundle
Summation Notation Sigma Notation Task Cards plus Foldable Flip Book
Proficiency with Summation Notation also known as Sigma Notation is a very important skill usually taught in PreCalculus and also in Calculus. This activity is beneficial to students when studying Sequences and Series giving them extra practice and challenging them with with a mix of standard and rigorous questions. Activity Based Learning with Task Cards really does work to help reinforce your lessons. Task and station cards get your students engaged and keep them motivated. Use all at once o
10th - 12th
Algebra 2, Calculus, PreCalculus
Also included in: PreCalculus Curriculum Activity Bundle
Rational Function Graphs and Their Properties 1.7-1.10 AP Precalculus Activity
Students practice asymptotes, holes, intercepts, and end behavior from the Rational Function and Their Key Features AP® Precalculus lessons (1.7 - 1.10) with this fun, NO PREP, self-checking digital activity! Printable worksheet included for flexibility and hands-on engagement. Note: This activity includes an additional version without limit notation for end behavior, perfect to use with your Algebra 2 students! ACTIVITY SKILLS for AP® Precalculus:Finding the following Properties of Rati
10th - 12th
PreCalculus
Also included in: Unit 1 Polynomial and Rational Functions AP Precalculus Activity Bundle
Function Transformations Rule Sheet
Help your students keep function transformations from feeling overwhelming with this clear, student-friendly, and classroom-tested Function Transformations Rule Sheet. This resource works best near the end of a transformations unit as a summary/reference sheet students can use while combining common function transformations. Each transformation is explained in plain language with notation, visual examples, and algebraic examples so students can clearly see how translations, reflections, stretche
10th - 12th
Algebra 2, Calculus, PreCalculus
CCSS
HSF-IF.C.7
, HSF-BF.B.3
IB Applications & Interpretations SL: Unit 5 - Modeling Constant Rates of Change
IB Applications & Interpretations SL, Unit 5 - Modeling Constant Rates of Change - Linear Functions. This bundle includes 7 guided notes lessons, teacher guides for each day, 2 assessments and assessment reviews (lessons 5.1-5.3, and 5.4-5.6), a performance task (can be used as a final exam if appropriate time of year), and an assignment sheet pacing guide, including recommended hw extra practice. Topics include: 1) Relations and Functions 2) Linear Models and Direct Variation 3) Inverse Relat
10th - 12th
Applied Math, PreCalculus
CCSS
MP1
, MP2
, MP3
+5
EVALUATING LIMITS GIVEN A GRAPH AND MANIPULATING LIMITS WORKSHEET
This worksheet is intended for students after they have learned the following topics: 1.2 - Defining Limits and using Limit Notation 1.3 - Estimating Limit Values from Graphs 1.5 - Determining Limits Using Algebraic Properties of Limits 1.6 - Determining Limits Using Algebraic Manipulation It is perfect for a mid - unit review in Unit 1 (AP Calculus AB Course and Description). In this worksheet, I have included examples where students evaluate limits given a graph, evaluate left-hand and right-
10th - 12th, Higher Education
Calculus
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
10th - 12th, Higher Education
Applied Math, Other (Math), PreCalculus
Also included in: Algebra & Trigonometry Guided Notes – Teacher Edition Bundle
AP CALCULUS AB - UNIT 6 INTEGRATION REVIEW WORKSHEET (#2)
This Calculus worksheet is intended for students after they have learned the following integration concepts from Unit 6 (AP Calculus AB Course and Description). 6.3 Riemann Sums, Summation Notation, and Definite Integral Notations 6.4 The Fundamental Theorem of Calculus and Accumulation Functions 6.5 Interpreting the Behavior of Accumulation Functions Involving Area 6.6 Applying Properties of Definite Integrals 6.7 The Fundamental Theorem of Calculus and Definite Integrals 6.8 Finding Antideriva
9th - 12th, Higher Education
Calculus
AP CALCULUS AB - UNIT 6 INTEGRATION REVIEW WORKSHEET (#1)
This Calculus worksheet is intended for students after they have learned the following integration concepts from Unit 6 (AP Calculus AB Course and Description). 6.3 Riemann Sums, Summation Notation, and Definite Integral Notations 6.4 The Fundamental Theorem of Calculus and Accumulation Functions 6.5 Interpreting the Behavior of Accumulation Functions Involving Area 6.6 Applying Properties of Definite Integrals 6.7 The Fundamental Theorem of Calculus and Definite Integrals 6.8 Finding Antideriva
9th - 12th, Higher Education
Calculus
Relations & Functions Guided Notes
These organized guided notes cover basic rules of functions and relations, including: for each element of the domain, there is only one element of the range, the vertical line test, function notations, types of relations (one-to-one, one-to-many, many-to-one, many-to-many). The bottom of the sheet includes graphs, mappings, and tables that students must determine as functions or not.
Great for use in Algebra 2, IB Math SL, and more!
Created by Math With Mrs. Holst.
Originally created for IB
10th - 12th
Algebra 2, Math
Introduction to Limits Day 1 AP Calculus AB BC
AP Calculus AB or BC worksheet introducing the idea of limits. I use this on the very first day of the Limits Unit. Students learn about limits using tables and graphs, and distinguish limit notation from function notation. This worksheet could also be used in Precalculus at the end of the year.
9th - 12th
Calculus, Graphing, PreCalculus
AP CALCULUS AB - UNIT 6 INTEGRAL PRACTICE
This Calculus worksheet is intended for students after they have learned the following lessons from the AP Calculus AB Course and Description: 6.2 Approximating Areas with Riemann Sums 6.3 Riemann Sums, Summation Notation, and Definite Integral Notation 6.4 The Fundamental Theorem of Calculus and Accumulation Functions 6.5 Interpreting the Behavior of Accumulation Functions Involving Area 6.7 The Fundamental Theorem of Calculus and Definite Integrals In this worksheet, I have included examples w
9th - 12th, Higher Education
Calculus
Algebra 2 Functions Group Quiz | Operations with Functions | Critical Thinking
Get your students collaborating and thinking deeply with this Functions Group Quiz! Designed to reinforce core function skills while also challenging students with a harder, higher-order problem, this quiz encourages both teamwork and critical thinking. Students will work together to: • Evaluate and interpret functions • Apply function notation and operations with functions • Analyze graphs and equations of functions • A multi-step, problem-solving challenge that requires reasoning beyond ro
9th - 12th
Algebra, Algebra 2, PreCalculus
CCSS
HSF-IF.C.7a
, HSF-IF.C.9
, HSF-BF.A.1
+2
Using Functions to Model Relationships Worksheet
The graph of this function represents all ordered pair combinations of two kinds of candy that can be bought with $50. This application works for both 8th grade and algebra-1. If you are using it for an algebra-1 class, you could use function notation. 8th graders are not required to use function notation in Common Core. I have included a detailed answer key. The preview above will give you a better idea.
8th - 11th
Algebra, Graphing, Other (Math)
CCSS
8.F.B.4
, HSF-IF.B.4
, HSF-IF.C.7
Calculus AB Unit 6 FRQ Practice: 5 Multi-Part Questions w/ Detailed Solutions
This FRQ set includes 5 multi-part free-response questions covering Calculus AB Unit 6: Integration and Accumulation of Change. It includes a mix of calculator-active and non-calculator questions, with detailed solutions and rubrics. Topics Include:Accumulation of changeRiemann sums and the Trapezoidal RuleSigma notation and definite integral notationThe Fundamental Theorem of Calculus (Parts 1 and 2)Behavior of accumulation functionsProperties of definite integralsIndefinite integrals and commo
10th - 12th
Calculus
Calculus AB Unit 6 MCQ Practice: 64 Exam-Style Questions w/ Detailed Solutions
This MCQ set includes 64 exam-style multiple-choice questions covering Calculus AB Unit 6: Integration and Accumulation of Change. It includes a mix of calculator-active and non-calculator questions, with a complete answer key and fully worked solutions. Topics Include:Accumulation of changeRiemann sums and the Trapezoidal RuleSigma notation and definite integral notationThe Fundamental Theorem of Calculus (Parts 1 and 2)Behavior of accumulation functionsProperties of definite integralsIndefinit
10th - 12th
Calculus
Calculus AB Unit 6 Quiz: 10 Calculator-Active MCQs, Two Versions
This quiz includes 10 exam-style multiple-choice questions covering the first half of Calculus AB Unit 6: Integration and Accumulation of Change. Topics go through 6.6 (Properties of Integrals). It includes two parallel versions (A and B) with answer keys for each. Topics Include:Accumulation of changeRiemann sums and the Trapezoidal RuleSigma notation and definite integral notationThe Fundamental Theorem of Calculus (Part 1)Behavior of accumulation functionsFormat and UseQuiz or unit checkRevie
10th - 12th
Calculus
Calculus AB Unit 6 Notes: Guided Notes, Examples, End-of-Section Practice
This resource is a set of Calculus AB Unit 6 guided notes designed for students in a Calculus AB class or similar introductory calculus course. It includes worked examples and unworked examples (teacher-led or for student practice). All sections but one include a Section Practice with 1 MCQ and 1 single-part FRQ. Topics IncludeAccumulation of changeRiemann Sums and the Trapezoidal RuleRiemann Sums in sigma notationThe Fundamental Theorem of Calculus Parts (1 & 2)Behavior of accumulated functions
10th - 12th
Calculus
Integration and Accumulation of Change (AP Calculus AB - Unit 6)
Integration and Accumulation of Change Calculus Unit Bundle:This is a bundle with guided notes, PowerPoints aligned with the guided notes, additional practice (homework), 2 mid-unit quizzes, unit test, unit review, and unit pacing guide for Integration and Accumulation of Change Calculus (Unit 6). This unit contains 7 lessons. Lesson 6.1: Finding Antiderivatives and Indefinite IntegralsLesson 6.2: Approximating Areas with Riemann SumsLesson 6.3: Riemann Sums, Summation Notation, and Definite In
10th - 12th
Calculus, Math
Also included in: AP Calculus AB Semester 2 Bundle Units 6-8
Calculus AB Unit 6 MCQ and FRQ Practice Bundle: 64 MCQs and 5 Multi-Part FRQs
This Practice Bundle includes 64 exam-style multiple-choice questions (MCQs) and 5 multi-part free-response questions (FRQs) covering Calculus AB Unit 6: Integration and Accumulation of Change. It includes a mix of calculator-active and non-calculator questions, with detailed solutions and FRQ rubrics. This bundle combines my Calculus AB Unit 6 MCQ Practice and Unit 6 FRQ Practice resources. Topics Include:Accumulation of changeRiemann sums and the Trapezoidal RuleSigma notation and definite int
10th - 12th
Calculus
4 Maths in Real-Life assessments (MYP Maths Criterion D)
These 4 real-life maths tasks are written to align with the MYP maths criterion D assessment strands. All explore different areas of the global context "Globalization and Sustainability". The main audience is an MYP5 cohort preparing for the e-assessment, however much of the content can be accessed by younger students. The 4 tasks are as follows: 1. Using right-angle trigonometry, angle facts, Pythagoras' theorem and area of 2D shapes to evaluate solar panel designs. 2. Using function notation,
7th - 10th
Math, Math Test Prep
Also included in: The Ultimate MYP Maths eAssessment Preparation Pack
Calculus AB Unit 6 Assessment Bundle: MCQ Quiz & Mixed Test (Two Versions Each)
This assessment bundle includes a Unit 6 quiz and a Unit 6 test designed for Calculus AB or a similar introductory course. The quiz is calculator-active MCQ practice, and the test is a mixed-format assessment with MCQs and FRQs, including no-calculator and calculator-allowed sections. Both assessments include two parallel versions (A and B) with answer keys (and FRQ scoring rubrics for the test). Topics Include:Accumulation of changeRiemann sums and the Trapezoidal RuleSigma notation and definit
10th - 12th
Calculus
Quadratic Functions Real-Life Problem (MYP Maths criteria C/D)
Full assessment: A six-part structured question to help students reach the aim setAuthentic context to support meaningful reflection on answersCriteria C and D rubrics for MYP4/5Strand-aligned task-specific clarificationsComplete working and solution In this task, students are asked to find the ideal pricing strategy for an event based on research conducted on a sample of the target population. Students should be able to: find the equation of a line given two pointsunderstand function notation
9th - 10th
Math
Also included in: MYP Maths Assessment Bundle (criteria B and D)
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