Basic Function Tables
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Input Output Tables Independent & Dependent Variables Examples Function Machines
This linear functions unit covers graphing functions and slope and is part of an Algebra 1 curriculum for special education students. It is based on state-extended learning standards. This unit covers:Understanding a function machineReading and filling out function tablesSlope reviewIdentify graphs that have linear functionsReading and interpreting simple linear function graphsThis is an INTRODUCTION to reading function tables, graphs, and slopes. The advanced unit covers calculations and inte
10th - 12th
Algebra, PreCalculus
Algebra 2: Function Transformations & Inverses | High School Math Lesson Pack
🛑 Stop students from mixing up horizontal and vertical shifts forever.If your students struggle to remember the "Inside vs. Outside" rules or can’t visualize why f(x−2) moves to the right, this lesson bundle is the fix. Using a clear "Parent Function DNA" analogy and rigorous scaffolding, this resource moves students from basic identification to complex multi-step transformations and inverse modeling. Designed for a 90-minute block or two 45-minute periods, this isn't just a worksheet—it's a
9th - 12th
Algebra 2, Graphing, PreCalculus
CCSS
HSF-BF.B.4
, HSF-BF.B.4a
, HSF-BF.B.4b
+2
High School Math Lesson Pack- Trigonometry: Modeling w/ Sine & Cosine Functions
Stop answering "When will we ever use this?" and start showing them.Transform dry trigonometric graphing into an exploration of the "Rhythm of the World." This complete, low-prep lesson plan guides students from the basics of amplitude and period to complex, real-world modeling of ocean tides, seasonal temperatures, and dampened sound waves. Designed for Algebra II and Pre-Calculus classrooms, this 90-minute block (or two 45-minute periods) aligns perfectly with Common Core standard F-TF.B.5.
9th - 12th
Algebra 2, Other (Math), PreCalculus
CCSS
HSF-TF.B.5
Foldables for Functions
This document includes two foldables for use with any unit on functions.
Foldable 1: Basics of Functions includes independent variables, dependent variables, evaluating functions, and interpreting values in context.
Foldable 2: More With Functions includes domain, range, rate of change, and initial value of a function.
This product was developed from the ground up and copyrighted by Mathematical Anarchy, LLC to be used in courses ranging from Pre-Algebra to Precalculus which are aligned with
6th - 12th
Algebra, Algebra 2, PreCalculus
Straight line graphs
This is a very comprehensive resource on how to draw linear functions. It extends the ideas of visual representations of number patterns to linear functions. Learners need to have a basic understanding of plotting points on a Cartesian Plane and determining the formula of a number pattern.
Once learners have worked through this workbook they should have a good grasp of
Drawing straight lines using a table as well as the dual intercept method.
Discrete and continuous data.
Linear and non-linear
9th
Graphing, Math, PreCalculus
Worksheet: Differentiation from First Principles
This is a one-page worksheet with seven functions for finding the derivative using the limit definition of the derivative (first principles). Formula included on the worksheet. Functions are basic polynomial, radical, and rational functions.
11th - 12th
Calculus, Math, PreCalculus
Algebra Functions Transformation Quizzes & Practice
Included in the following document are fourteen different quizzes and extra materials for you to cut, paste or easily manipulate. I the quizzes when I discovered my advanced math students were dependent on their calculators for graphing basic functions and transformations (horizontal, vertical, reflections). I decided to give my students 10 question “no calculator” quizzes randomly throughout the year. All quizzes require basic sketching of the following parent functions: linear, quadratic, cubi
9th - 12th
Algebra 2, Graphing, PreCalculus
Comprehensive Functions Assessment, 3 Assignments for Power Point and Socrative
Included in this zip folder are 3 Power Point files. All 3 are assignment files that can be printed or used at socrative.com. The share numbers are included in the files.
All 3 assignments are 48 problems and can be printed on 2 pages. Each assignment covers the following topics:
1. End behavior
2. Boundedness
3. Increasing or decreasing
4. Is 0 a member of the domain and/or range
5. Function values from graphs, tables and equations
6. Odd and even functions
7. The domain of the square root a
10th - 12th
Algebra 2, Math, PreCalculus
Graph Paper for Trig Functions
This changes everything! Student work becomes more consistent. Your grading will be so much easier! Using the four aligned graphs makes translations of trig functions crystal clear. This file has 2 pages of coordinate planes for graphing trig functions. The first page contains four blank graphs per page. The axes are unlabeled so that students may select their own scale. The second page has five blank graphs per page and is set up for conducting transformations on the coordinate plane. Please
10th - 12th, Adult Education, Higher Education
Graphing, Other (Math), PreCalculus
Curve Analysis & Derivatives – A Complete Guide to Function Behavior | WORKBOOKS
Build deep understanding of functions using derivatives, limits, and curve analysisThis bundle is designed for high school math teachers who want students to move beyond procedural differentiation and toward true conceptual mastery of function behavior. Students learn how derivatives, limits, and asymptotes work together to describe increasing and decreasing behavior, local extrema, concavity, inflection points, and global structure of functions. Instead of isolated skills, the materials prese
9th - 12th
Calculus, PreCalculus
CCSS
HSF-IF.A.1
, HSF-IF.A.2
, HSF-IF.A.3
+33
Curve Analysis of Exponential and Logarithmic Functions | PRE-Calculus WORKBOOK
This comprehensive teaching resource on the curve analysis of exponential and logarithmic functions is designed for upper secondary mathematics and advanced pre-calculus courses. Students develop a deep understanding of growth, decay, limits, asymptotic behavior, derivatives, and inverse functions. Instead of treating exponential and logarithmic functions as separate topics, this material highlights their fundamental relationship as inverse functions, supporting conceptual clarity and long-t
10th - 12th
Calculus, PreCalculus
Trigonometric and Polar Functions Guided Notes (Unit 3 AP Precalculus)
⭐⭐ This AP Precalculus Unit 3 Guided Notes Bundle provides you with a customizable and fully-editable resource of guided student notes that cover the topics for Trigonometric and Polar Functions. ⭐⭐ The unit contains 15 topics stated in the College Board Course Framework divided into one, two or three-day classroom notes designed for a 45-50-minute class period. ⭐Video Lesson Links are now included.⭐ ✅ Learning Objectives Include:Periodic PhenomenaSine, Cosine and TangentSine and Cosine
10th - 12th
Math, PreCalculus
Graphing Rational Functions Worksheet
This worksheet is 9 questions, but each question has multiple parts for students to graph a rational functions. Students are asked to identify the y intercepts, x intercepts, vertical asymptotes, horizontal asymptomes, and plot a few points. The worksheet is organized for students to display this information. Some examples require students to factor/use the quadratic formula to find the x-intercepts.
This worksheet aligns to algebra 2 standards of secondary math 2 common core standards, or a P
9th - 12th, Higher Education
Algebra 2, Math, PreCalculus
Exponential and Logarithmic Functions Guided Notes (AP Precalculus Unit 2 )
⭐⭐ This AP Precalculus Unit 2 Guided Notes Bundle provides you with a customizable and fully-editable resource of guided student notes that cover the topics for Exponential and Logarithmic Functions. ⭐⭐ The unit contains 15 topics stated in the College Board Course Framework divided into one, two or three-day classroom notes designed for a 45-50-minute class period. ⭐Video Lesson Links are now included.⭐ ✅ Learning Objectives Include:Change in Arithmetic and Geometric SequencesChange in
10th - 12th
Math, PreCalculus
Graphing Polynomial Functions Guided Discovery Math Activity for Algebra 2
Empower your students as mathematicians with this editable and low-prep Graphing Polynomial Functions Guided Discovery Math Activity for Algebra 2! From polynomial functions in factored form, students use the Desmos Graphing Calculator to make connections about the leading coefficients and degrees of the factors with regards to end behavior and if a function crosses or touches the x-axis at an intercept. After students make their initial predictions about the zeros of polynomial functions and t
10th - 12th
Algebra 2, Graphing, PreCalculus
CCSS
HSA-APR.B.3
, HSF-IF.C.7
, HSF-IF.C.7c
Graphing Exponential and Logarithmic Functions Guided Discovery Math Activity
Your students will make meaningful connections between exponential and logarithmic functions with this engaging, hands-on guided discovery activity! Perfect for Algebra 2 or Pre-Calculus, this resource guides students step-by-step as they explore how to graph exponential and logarithmic functions, identify their relationships as inverse functions, and understand how transformations impact the graphs. Students begin by investigating the inverse of exponential functions to see how logarithmic fu
9th - 12th
Algebra 2, Graphing, PreCalculus
CCSS
HSF-IF.C.7e
, HSF-BF.B.4
, HSF-BF.B.4a
+2
Pythagorean Identity Trigonometry Lesson Pack | High School Math Functions
📐 Unlocking the Pythagorean Identity: Complete LessonTake your Pre-Calculus or Algebra 2 students beyond simple memorization with this scaffolded, inquiry-based lesson packet. This resource guides students to discover the Pythagorean Identity (sin2θ+cos2θ=1) using the Unit Circle, visually prove it using geometry, and apply it to real-world engineering contexts. Stop lecturing to blank stares! This packet uses a "Think-Aloud" approach and guided inquiry to help students derive the math the
9th - 12th, Higher Education
Algebra 2, Math Test Prep, PreCalculus
CCSS
HSF-TF.C.8
Graphing Rational Functions Guided Discovery Math Investigation Activity
Help your students master graphing rational functions with this Guided Discovery Math Investigation Activity. Instead of just memorizing rules, students explore rational functions and graphs to uncover how changing different values affects their shapes, asymptotes, and key features. During this investigation, students will:Identify the parent graph of rational functions and analyze its domain, range, and asymptotes. Explore transformations of rational functions, including shifts, reflections, st
9th - 12th
Algebra 2, Graphing, PreCalculus
CCSS
HSF-IF.B.4
, HSF-IF.C.7
, HSF-IF.C.7d
+1
Exploration Topic 3.15 for AP Precalculus - Rates of Change of Polar Functions
Help your AP Precalculus students explore rates of change in polar functions in a hands-on, visual way! This introductory activity focuses on Topic 3.15: Increasing and Decreasing on Polar Functions, guiding students through table completion, graphing, and color-coded analysis to deepen understanding of function behavior. Students will: ✔ Complete a table of values for a polar function. ✔ Graph the function on the coordinate plane ✔ Plot the function on a polar grid ✔ Highlight intervals wit
10th - 12th
Algebra 2, PreCalculus
Inverse Trig Functions Lesson Bundle | PowerPoint + Guided Notes + Google Forms
This complete Inverse Trigonometric Functions Bundle is everything you need to teach, reinforce, and assess this essential trigonometry topic — all in one download! Designed to work seamlessly together, these materials will make your planning effortless while giving students a powerful learning experience focused on both conceptual understanding and procedural fluency. What’s Included: ✔️ PowerPoint Lesson – Clear, step-by-step presentation covering inverse sine, cosine, and tangent, i
10th - 12th
Algebra 2, Geometry, PreCalculus
Maxima, Minima, and Zeros Quiz | Polynomial Graph Features & Factored Functions
This Algebra 2 quiz assesses students’ understanding of key features of polynomial functions, including maxima, minima, and zeros. Students analyze graphs to identify relative maximum and minimum points, and they determine zeros from factored polynomial functions. The quiz includes bilingual directions in English and Spanish, making it accessible for multilingual classrooms and Spanish-speaking learners. Students will practice: Identifying relative maxima and minima from graphs Writing coo
10th - 12th
Algebra, Algebra 2, PreCalculus
CCSS
HSA-APR.B.3
, HSF-IF.B.4
Function or Not A Function | CARD SORT & DRAG AND DROP BUNDLE Grades 8–11
Need multiple ways to teach and reinforce relations and functions? This bundle combines a digital Drag & Drop activity with a printable Card Sort to give students hands-on and interactive practice using 30 examples in multiple representations. Bundle Highlights:Two Engaging Formats:Printable Card Sort – Students sort and record answers using a variety of representations.Digital Drag & Drop – Students match examples to the correct category on interactive slides.Comprehensive Practice: 30 exa
8th - 11th
Algebra, Algebra 2, PreCalculus
Inverse Functions | Notes & Practice | Pre-Calc | Editable & No-Prep
Need an Editable, No-Prep resource for teaching Inverse Functions and their graphs for your Pre-Calc class? Look no further! What is included?Guided Notes8 Practice Problems set up for individual or group workAn answer key the whole document. What topics are included?Students will learn to: Determine if an inverse exists from an equation or a graphFind the inverse equationProve two functions are inversesGraph functions and their inversesStudents need to know how to:Work with radical & expo
9th - 12th
Algebra, Algebra 2, PreCalculus
Exponential Functions & Logarithms, 9 Intro's + 10 Assignments for Power Point
Included in this zip folder are 20 Power Point files. 9 are introductory lessons, 1 is a reference and 10 are assignments. A brief description of each:
The reference is a 2 page printable. It contains definitions and example problems for this unit.
Intro #1 is a 58 page, 20 formative assessment question file. It introduces exponential functions and defines;
1. Exponential Functions
2. Initial Value
3. Growth Rate
4. Decay Rate
It also uses the markup formula to derive the growth rate.
Intro
10th - 12th
Algebra 2, Math, PreCalculus
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