Basic Function Tables
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Limits from Tables plus Guided Notes for Calculus
This Evaluating Limits from Tables with Guided Notes resource is designed to help your Calculus students understand and master the concepts in this section and promote fluency. What's Included?11 Task cards which include polynomial, rational, irrational, and trig functions. Students use a table to determine if a limit exists and to evaluate it, if it exists. There are also problems which students are given a table and asked to estimate the limit. Blank Task card for you to personalizeGuided
11th - 12th, Higher Education
Calculus, PreCalculus
Also included in: Limits and Continuity Calculus Unit 1 Bundle
1.2 - Function Notation f(x) (MCR3U Grade 11 Functions / Pre-Calculus)
Ontario Curriculum Expectations:A1.2 - represent linear and quadratic functions using function notation, given their equations, tables of values, or graphs, and substitute into and evaluate functions.
11th
Algebra, Calculus, PreCalculus
Basic Antiderivative/Indefinite Integral (Power Rule and Basic Trig) Assignment
This assignment covers basic antiderivatives/indefinite integrals using the power rule and the six basic trig functions. It also includes a review of motion graphically. There is a note sheet that precedes this assignment found in the Texmathlete TPT store. Videos for the notes can be found on the FREE Calculus Slides and Videos for You and Your Students slides in the Texmathlete TPT store.
9th - 12th, Higher Education
Calculus, PreCalculus
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® PreCalculus - Unit 1: Polynomial and Rational Functions
Topics Included: Unit 1: Polynomial & Rational FunctionsTopic 1.1: Patterns & operations with sequences1.1 Linear and quadratic patterns 1.2 Recursive vs explicit forms 1.3 Arithmetic sequences 1.4 Geometric sequences 1.5 Using functions to model patterns Topic 1.2: Polynomial Functions & Operations1.6 End behavior of polynomials 1.7 Identifying polynomial functions 1.8 Adding, subtracting, and multiplying polynomials 1.9 Factoring polynomials 1.10 Zeros of polynomial functions 1.11 Multiplicity
12th, Higher Education
PreCalculus
Also included in: AP® PreCalculus - Full Course Curriculum
AP® PreCalculus - Unit 2: Exponential & Logarithmic Functions
Unit 2: Exponential & Logarithmic FunctionsTopic 2.1: Exponential Functions2.1 Structure of exponential functions 2.2 Exponential growth & decay 2.3 Growth factor & decay factor 2.4 Continuous growth (Euler’s number) 2.5 Applications of exponential modeling 2.6 Transformations of exponential functions 2.7 Exponential equations Topic 2.2: Logarithmic Functions2.8 Introduction to logarithms 2.9 Properties of logs (product, quotient, power) 2.10 Change of base formula 2.11 Logarithmic models 2.12 L
12th, Higher Education
PreCalculus
Also included in: AP® PreCalculus - Full Course Curriculum
Function Machine Task Card Activity | Printable
Make function composition fun and interactive with this hands-on math activity! In this Function Composition Task Card Challenge, students receive 4 function cards and must arrange them in the correct order so that: 1. The input value goes into the first function. 2. The output of that function becomes the input for the second function. 3. They continue the process until they reach the final output. The goal? Figure out the correct sequence of functions so the starting input matches the given
10th - 12th
Algebra, Algebra 2, PreCalculus
CCSS
HSF-IF.A.1
, HSF-IF.C.9
Also included in: Algebra 2 Functions Unit Bundle | Activities, Assessments, Guided Notes
Graphing Sine Functions Cornell Notes
Support your Algebra 2 or Precalculus students in mastering trigonometric graphing with these Graphing Sine Functions Cornell Notes—designed for a structured, effective way to deliver content. Whether you're teaching in an AVID school or simply want to improve note-taking across your classroom, this resource offers a student-friendly format that promotes focus, clarity, and retention. What’s Included:Guided Cornell Notes with clear promptsFully filled version for accommodations or referenceDet
9th - 12th
Algebra 2, PreCalculus
CCSS
HSF-TF.B.5
RATIONAL FUNCTIONS - Algebra 2 or Pre Calculus
RATIONAL FUNCTIONS - Use with your Algebra 2 or Pre Calculus level students. There is nine (9) graphing and equations. Students use where the asymptotes are, and other key attributes of Rational Functions to match the correct graph and equation.
9th - 12th
Algebra 2, PreCalculus
Is the function an EXPONENTIAL GROWTH or EXPONENTIAL DECAY function?
Is the function an EXPONENTIAL GROWTH or EXPONENTIAL DECAY function?This is designed to be a good warm-up for your Algebra 2 students. There are eleven (11) functions. Three are Exponential Growth, three are Decay, and five are neither Exponential Growth, nor Exponential Decay. Students have to THINK of the attributes of a function that make it Growth or Decay. This can be done as a "CONCEPT FORMATION" piece, too.
9th - 12th
Algebra, Algebra 2, PreCalculus
IB Applications & Interpretations SL: Unit 11-Modeling Periodic Phenomena - Trig
IB Applications & Interpretations SL, Unit 11 - Modelling Periodic Phenomena - Trigonometric Functions. This bundle includes 3 guided notes lessons + homework, teacher guides for each day, 1 assessment and assessment review (lessons 11.1-11.3). Topics include: 1) An Introduction to Periodic Functions 2) An Infinity of Sinusoidal Functions 3) A World of Sinusoidal Models
10th - 12th
Applied Math, PreCalculus
CCSS
MP1
, MP2
, MP3
+5
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
IB Applications & Interpretations SL: Unit 10-Modeling Rates of Change-Exp & Log
IB Applications & Interpretations SL, Unit 10 - Modeling Rates of Change - Exponential and Logarithmic Functions. This bundle includes 5 guided notes lessons, teacher guides for each day, 2 assessments and assessment reviews (lessons 10.1-10.3, and 10.1-10.5), 2 end-of-unit performance tasks, and an assignment sheet pacing guide, including recommended hw extra practice. Topics include: 1) Exponential Models 2) Simple Interest and APR Investments 3) Compound Interest 4) Annuities and Amortizati
10th - 12th
Applied Math, PreCalculus
CCSS
MP1
, MP2
, MP3
+5
I'M AN AUTHOR, TOO! (use as a warm-up)
In, "I'm an author, too!", students will analyze the graph of an EXPONENTIAL DECAY function. This can be used as a warm-up for Algebra 1, 2 or even Pre-Calculus class. Looking at a graph and being able to analyze it, is a huge real-life pursuit, that we need to be teaching all of our students to do.
9th - 12th
Algebra, Algebra 2, PreCalculus
Limits at Infinity & Infinite Limits AP Calculus AB BC
AP Calculus Limits Unit Introduce the concepts of infinite limits and limits at infinity through tables and graphs. Connects previously learned concepts of vertical and horizontal asymptotes. I use worksheets when students will need to draw tables or graphs to keep them organized.
9th - 12th
Calculus, Graphing, PreCalculus
Continuity Worksheet for AP Calculus AB BC Limits Unit
Introducing the concept of Continuity for AP Calculus during the Limits Unit. The worksheet builds up the concepts of how and where a function could be discontinuous. Does the function value exist? Does the limit exist? Are those values the same?
9th - 12th
Calculus, Graphing, PreCalculus
Hyperbolas in Rectangular Coordinates (shifted, non-rot.) Guided Cornell Notes
This guided note set focuses specifically on hyperbolas that are shifted from the origin, making it an excellent next step after students have mastered basic forms. Includes all key features of shifted hyperbolas: center, vertices, foci, asymptotes, a,b,c value calculation, axes, latus rectum, directrix, eccentricity, and more. Designed with the Cornell note-taking format, this resource supports better organization, deeper comprehension, and strong study habits—making it especially effective i
9th - 12th, Higher Education
Algebra 2, PreCalculus
QUADRATIC INEQUALITIES
QUADRATIC INEQUALITIESFor Algebra 2 students, this is a more advanced topic. I used this with my Algebra 2 Honors students and my Pre Calculus students. Being able to differentiate between a system, a piecewise function and a quadratic inequality is very important. After teaching the first four (4) problems, I loved having the students do this during class time. The follow-up activity that could be used as a warm-up could be: 1. Quadratic Inequality 2. Quadratic Piecewise 3. System of a Quadrat
9th - 12th
Algebra 2, Other (Math), PreCalculus
Introduction to Conic Sections Guided Cornell Notes
Set your students up for success with these Introduction to Conic Sections Cornell Notes, designed for Algebra 2 and Precalculus classrooms. This structured, guided resource helps students build a strong foundation in identifying and understanding the four basic conic sections with translations —circles, ellipses, parabolas, and hyperbolas—through organized, purposeful note-taking. What’s Included:Guided Cornell Notes to scaffold learning and improve organizationFully completed version to suppo
9th - 12th, Higher Education
Algebra 2, Graphing, PreCalculus
Graphing Trigonometry (Sine & Cosine) | Full 5E Lesson Kit | Trigonometry Unit
Graphing Trigonometry (Sine & Cosine) | Full 5E Lesson Kit | Trigonometry Unit | Precalculus | Transformations, Unit Circle & Sinusoidal Modeling Transform your trigonometry classroom with this comprehensive Graphing Trigonometry (Sine & Cosine) Full 5E Lesson Kit, designed to help students develop deep conceptual understanding of sinusoidal functions, transformations, and real-world modeling. This resource moves beyond simple graphing exercises and provides a complete instructional framework t
10th - 12th
Algebra 2, Geometry, PreCalculus
CCSS
HSF-TF.A.1
, HSF-TF.A.2
, HSF-TF.A.3
+4
Melissa F. Custom Bundle (AP Precalculus Unit 3-B)
⭐⭐ This custom bundle contains the second half of AP Precalculus Unit 3 Bundle and provides you with a customizable and fully-editable resource of guided student notes, practice sets, daily lesson quizzes, Google Slides for presentations and Activities that cover the topics for Trigonometric and Polar Functions. ⭐⭐ The partial unit contains 8 topics stated in the College Board Course Framework divided into one or two-day classroom notes designed for a 45-50-minute class periods. ✅ GUIDED NO
10th - 12th
PreCalculus
Lesson Plan: Parallax and Trigonometry
This lesson engages high school students in understanding how trigonometry is applied to measure distances using the principle of parallax, a key method in astronomy. Students investigate how a shift in viewpoint creates a measurable angle that, combined with a known baseline, forms a triangle. By applying trigonometric functions and small-angle approximations, students calculate distances to objects, simulating the method astronomers use to determine the distance to nearby stars. Through intera
7th - 12th, Adult Education, Higher Education
Anatomy, Geometry, PreCalculus
CCSS, NGSS
HSG-CO.D.12
, HSG-SRT.C.8
, HSS-ID.B.6
+4
Limits and Continuity (AP Calculus AB - Unit 1)
Limits and Continuity Calculus Unit Bundle: This is a bundle with guided notes, PowerPoints aligned with the guided notes, additional practice (homework), mid-unit quiz, unit test, unit review, and unit pacing guide for Limits and Continuity Calculus (Unit 1). This unit contains 5 lessons. Lesson 1.1: Estimating Limits from Graphs and TablesLesson 1.2: Determining Limits Using AlgebraLesson 1.3: Continuity and the Intermediate Value TheoremLesson 1.4: Infinite Limits and Vertical AsymptotesLesso
10th - 12th
Calculus, Math, PreCalculus
Also included in: AP Calculus AB Semester 1 Bundle (Units 1 -5)
Trigonometry Made Clear 2.0 | Sine Cosine Tangent Including Inverses!
Trigonometry Made Clear 2.0 | Algebraic Applications & Inverse TrigTake student understanding of right triangle trigonometry to the next level with this rigorous, algebra-focused continuation of the Trigonometry Made Clear series. This lesson builds directly on the foundational concepts introduced in Lesson 1.0 and challenges students to apply sine, cosine, tangent, and inverse trigonometric functions in more demanding algebraic situations. Students must move beyond simple substitution and deve
10th - 12th, Higher Education
Geometry, PreCalculus
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