Basic Function Tables
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Function Fun, Unit 1: Patterns, T-tables, and Graphs
OVER 50 PAGES! These are the best strategies for teaching linear functions to all students. Tested in grades 4 through high school, this unit helps students develop competency with both the concepts and computations involved in functions. The multi-representational activities cover slope, y-intercept, t-tables, graphs, formulas, and visual representations of linear functions. This unit is part 1 of a four-part series and includes 17 patterns in both color and black and white versions to provide
4th - 9th
Algebra, Graphing, Math
CCSS
5.G.A.1
, 5.G.A.2
, 6.EE.C.9
+17
Basic Math: Functions
Simple lesson that helps students understand that a function is a rule that assigns to each input exactly one output and that the graph of a function is the set of ordered pairs consisting of an input and the corresponding output.
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7th - 9th
Algebra, Graphing, Math Test Prep
CCSS
8.F.A.1
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
Linear Functions - Graphing TikTok Follower Growth - Algebra
Stop asking "When will we use this?" and start analyzing the algorithms behind their favorite apps!This Hero Mind lesson transforms the abstract concepts of Linear Functions, Slope, and Y-Intercepts into a relevant, high-interest investigation of social media analytics. Students act as data analysts to model follower growth for TikTok, Twitch, and YouTube creators, using algebra to predict when an account will "blow up" or surpass a rival. Designed for High School Algebra (and advanced Middle S
9th - 12th
Algebra, Algebra 2
CCSS
HSF-IF.C.8
Mental Math Drills: Basic Operations Review (Editable)
FeatureDetailTotal Slides:~10 Slides Key Activities:4 (Rapid-fire drill sets) Topic: Math, Arithmetic Key Concepts: Addition, Subtraction, Multiplication, Division, Squaring Numbers Target Grade Level: Grades 4-7 A simple, editable drill PowerPoint designed to sharpen mental math skills and prepare students for testing. It covers the four basic operations plus squaring numbers. Important Information for Teachers:Review Focused: Designed as a warm-up or "re-practice" session to encourage high per
7th - 12th, Adult Education, Higher Education
Basic Operations, Math Test Prep, Physics
Limits of Trig Functions for Calculus with optional QR
Your Calculus students find the limits of 16 trigonometric functions, some of which use basic identities, and others use the “special Limits", sin x /x, 1 - cos x / x, and variations of them. Use as Task Cards, Station cards, or as a worksheet. A second self-checking set with QR included. This practice will build your students' skills and proficiency on this topic. What's Included?Two sets of 16 Task cards, one with QR and one without. Students do not need to be on the internet to get the an
11th - 12th, Higher Education
Calculus, Math
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
Catch Up: Helping Students Understand the Importance of Completing Work
If you want to reinforce the importance of doing work this is a powerful way to accomplish your goal while teaching t-tables, graphing, patterns, and functions. Students typically don’t realize how important each assignment is to the outcome of their grade. With this activity, they will see its impact and remember it for months to come. A great way to start your school year or a new grading period.
5th - 10th
Algebra, Applied Math, Graphing
CCSS
5.G.A.1
, 5.G.A.2
, 8.F.A.1
+7
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
Area Between Two Curves Investigative Activity | AP Calculus AB & BC
Introducing your AP Calculus AB or BC class to the concept of area between two curves has never been easier with this structured, investigative task! Designed to build understanding progressively, this resource walks students step-by-step through increasingly rigorous applications of definite integrals: Page 1 investigates the area between two basic lines, allowing students to connect geometric reasoning with integral setup. Page 2 moves on to switching the upper curve at a point, requiring s
10th - 12th
Calculus, Math
AP® Statistics - Unit 4: Probability & Random Variables
This resource includes one powerpoint-style lesson (example is in the preview) per section, one worksheet set with full solutions per section, one reference sheet for the unit, and one unit test for the unit with solutions. Unit 4: Probability & Random Variables4.1 — Introduction to Probability & Relative Frequency 4.2 — Basic Probability Rules: Additive & Complement 4.3 — Conditional Probability with Two-Way Tables 4.4 — Multiplication Rule & Independence 4.5 — Probability Trees & Counting Prin
12th, Higher Education
Statistics
Also included in: AP® Statistics - Full Course Curriculum
AP® Calculus AB/BC - Unit 6: Integration and Accumulation of Change
This resource includes one powerpoint-style lesson (example is in the preview) per section, one worksheet set with full solutions per section, one reference sheet for the unit, and one unit test for the unit with solutions. Unit 6: Integration and Accumulation of Change6.1 Exploring Accumulation of Change 6.2 Riemann Sums and Sigma Notation (Left, Right, Midpoint) 6.3 The Fundamental Theorem of Calculus 6.4 Antiderivatives and Basic Integration Rules 6.5 Finding Antiderivatives (Indefinite Integ
12th, Higher Education
Calculus
Also included in: AP® Calculus AB - Full Course Curriculum
Trig Graphs and Transformation Matching 6 Trig Functions Digital
In this Interactive Digital Graphs of Trig Functions and their Transformation Matching resource your students use their reasoning skills along with their trig skills to identify a transformed trig function and match it to the correct graph. Included are changes to the amplitude, period, and phase shift of the 6 trigonometric functions. There are 24 problems, each on separate digital task cards. Students access the Task Cards through Google Slides®, and interact with them to select the co
11th - 12th, Higher Education
Algebra 2, Math, Other (Math)
CCSS
HSF-TF.B.5
Also included in: PreCalc Trig Digital Bundle of 20 with Printables
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
Parametric Equations - Vector Valued Functions with Calculus
These activities and resources for Calculus and Parametric Functions and Vector valued Functions are designed for AP Calculus BC and College Calculus 2. This topic is included in the Calculus 2 Unit, Polar and Parametric Functions and is also be part of the Unit 9 Parametric Equations, Polar Coordinates, and Vector-Valued in AP Calculus BC. Topics includeSlope of Parametric Equations and Vector Valued FunctionDetermining a Tangent lint to a parametric equationsEnclosed Area of Functions define
11th - 12th, Higher Education
Calculus
Also included in: AP Calculus BC or Calculus 2 Supplement Bundle
Differentiation: Composite, Implicit, Inverse Functions (AP Calculus AB- Unit 3)
Differentiation: Composite, Implicit, and Inverse Functions Calculus Lessons BundleThis 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 Differentiation: Composite, Implicit, and Inverse Functions Calculus (Unit 3). This unit contains 5 lessons. Lesson 3.1: The Chain RuleLesson 3.2: Implicit DifferentiationLesson 3.3: Differentiating Inverse FunctionsLesson 3.4: Differentiat
10th - 12th
Calculus, Math
Also included in: AP Calculus AB Semester 1 Bundle (Units 1 -5)
Logarithmic Functions: Intro & Properties (Editable)
Logarithmic Functions: Intro & Properties (Editable)Full Product DescriptionTopic: Algebra II, Pre-Calculus Key Concepts: Logarithms, Base, Exponentiation, Common Log, Natural Log ($ln$), Logarithmic Identities, Domain/Range Target Grade Level: Grades 10-12 This advanced, editable presentation introduces logarithms as the inverse of exponentiation. It covers the formal definitions, notation, and fundamental identities required for higher-level math. Important Information for Teachers:Conceptual
7th - 12th, Adult Education, Higher Education
Algebra, Math Test Prep, Physics
Radical Functions and Equations Grade Level: 10th – 12th (Editable)
Radical Functions and EquationsGrade Level: 10th – 12th Grade (Algebra 2 / Pre-Calculus)Description: An advanced algebra lesson on solving equations containing radicals. It covers isolating the radical, squaring binomials, solving resulting quadratic equations, and checking for Extraneous Solutions.How to Use: Use for Step-by-Step Modeling. The presentation walks through complex algebraic steps like FOILing which students often find difficult. Perfect for guiding students through the rigorous "C
7th - 12th, Adult Education, Higher Education
Algebra, Math Test Prep, Physics
Functions: Relations, Domain & Range Grade Level: 8th – 10th (Editable)
Functions: Relations, Domain & RangeGrade Level: 8th – 10th Grade (Algebra 1)Description: A comprehensive introduction to Functions. It covers mapping diagrams (One-to-One, Many-to-One), Function Notation $f(x)$, Domain and Range, Composite Functions $fg(x)$, Inverse Functions, and the Vertical Line Test.How to Use: This is a Unit Starter. It uses "Flow Diagrams" to visualize inputs and outputs, which is highly effective for introducing the concept of composite functions before moving to algebra
7th - 12th, Adult Education, Higher Education
Algebra, Math Test Prep, Physics
Graphs of Straight Lines: Tables & Slope-Intercept Grade Level: 8–9 (Editable)
Graphs of Straight Lines: Tables & Slope-InterceptGrade Level: 8th – 9th Grade (Algebra 1)Description: This deck bridges the gap between a "Table of Values" and the graph of a line. It explicitly teaches how to generate points from an equation like y = 2x - 5 and introduces the Gradient-Intercept form ($y = mx + b$).How to Use: Best for Concept Linking. The side-by-side comparison of the table and the graph helps students understand that the line is just a collection of solutions. Use the "What'
7th - 12th, Adult Education, Higher Education
Algebra, Math Test Prep, Physics
Exponential Functions Grade Level: 9th – 11th (Editable)
Exponential FunctionsGrade Level: 9th – 11th Grade (Algebra 1 / Algebra 2)Description: Introduces the graph and behavior of exponential functions (y = ab^x). It compares graphs of different bases (e.g., 2^x vs 3^x) and introduces exponential decay (negative exponents).How to Use: Use for Visual Concept Building. It helps students visualize how rapidly exponential growth occurs compared to linear functions. Includes graphs generated by mathematical software for accuracy.Stats: 12 Slides | Graphs
7th - 12th, Adult Education, Higher Education
Algebra, Math Test Prep, Physics
AP CALCULUS AB - 8.1 AVERAGE VALUE OF A FUNCTION ON AN INTERVAL
This Calculus worksheet is intended for students after they have learned the following lessons from the AP Calculus AB Course and Description: 6.6 Applying Properties of Definite Integrals 6.7 The Fundamental Theorem of Calculus and Definite Integrals 6.9 Integrating Using Substitution 8.1 Average Value of a Function on an Interval In this worksheet, I have included various examples where students find the average value of a function on a given interval. The problems include a polynomial functio
9th - 12th, Higher Education
Calculus
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