Function Notation
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Continuity of Functions Task Cards Calculus Review
Continuity of functions in calculus task card activity can be used in your classroom in many different ways. Students can work individually or collaborate together to solve the task cards; either way they will be reinforcing their skills of using the formal limit-based calculus definition of continuity. This continuity of functions in calculus activity has 16 task cards that include a variety of different examples. Students will practice proving continuity of a function, determining types o
11th - 12th, Higher Education
Calculus, Math
CCSS
MP1
, MP3
, MP6
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
AP® PreCalculus - Unit 4: Functions and Modelling
Unit 4: Functions & ModelingTopic 1: Function Characteristics4.1 Function notation & structure 4.2 Average rate of change 4.3 Domain & range 4.4 Composition of functions 4.5 Inverse functions 4.6 Even & odd functions Topic 2: Transformations of Functions4.7 Vertical & horizontal shifts 4.8 Reflections 4.9 Stretching & compressing 4.10 Combined transformations 4.11 Piecewise functions Topic 3: Function Families & Modeling4.12 Linear vs nonlinear models 4.13 Polynomial models 4.14 Rational models
12th, Higher Education
PreCalculus
Also included in: AP® PreCalculus - Full Course Curriculum
TED Talk: Where do math symbols come from?- John David Walters
This TED-Ed companion resource explores the origins and purpose of mathematical symbols, revealing how they function as a language designed to simplify and communicate complex ideas. Students learn where symbols like the equals sign, plus sign, exponents, and sigma notation came from and why mathematicians rely on symbolic shorthand. The resource includes 20 discussion questions, a structured debate with clearly labeled positions, and two essay-writing options: a fully expanded, evidence-bas
9th - 12th, Adult Education, Higher Education
Applied Math, Basic Operations, Other (Math)
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
AP Calculus BC Readiness Checklist
This AP Calculus BC Readiness Checklist helps students review the advanced prerequisites needed for AP Calculus BC, including parametric equations, vectors, polar coordinates, sequences, series, factorials, sigma notation, partial fractions, advanced algebra, function analysis, limits, and trigonometry. Students can use it to identify gaps, prioritize review, and build confidence before starting a fast-paced course that covers two semesters of college calculus in one year. AP® and Advanced Pla
12th, Higher Education
Calculus
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
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
Limits on Tables Practice Worksheet
Strengthen your students’ understanding of limits with this focused Calculus worksheet on evaluating limits from tables. In this activity, students analyze numerical data presented in table form to determine the limit of a function as xxx approaches a given value. Students must express each answer using proper limit notation, reinforcing both conceptual understanding and mathematical communication. Skills Reinforced: Interpreting function behavior from a table Identifying one-sided and two-si
11th - 12th, Higher Education
Calculus, Math Test Prep, PreCalculus
CCSS
MP6
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
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
HSC Practice Questions - Working with Functions Set 7
Ready to print! This is a ten question revision of original HSC style questions for the Working with Functions topic of the Mathematics Advanced course (Australian Curriculum). Intended use is for year 11/year 12 classes. *Algebraic Techniques sold separately. The solutions and marking criteria are included. It covers a variety of the new syllabus dot points, such as: Defining a functionUsing f(x) notation and substituting numeric and algebraic expressions in for x, including composite functions
11th - 12th, Higher Education
Graphing, Math Test Prep, Other (Math)
HSC Practice Questions - Working with Functions Set 6
Ready to print! This is a ten question revision of original HSC style questions for the Working with Functions topic of the Mathematics Advanced course (Australian Curriculum). Intended use is for year 11/year 12 classes. *Algebraic Techniques sold separately. The solutions and marking criteria are included. It covers a variety of the new syllabus dot points, such as: Defining a functionUsing f(x) notation and substituting numeric and algebraic expressions in for x, including composite functions
11th - 12th, Higher Education
Graphing, Math Test Prep, Other (Math)
HSC Practice Questions - Working with Functions Set 5
Ready to print! This is a ten question revision of original HSC style questions for the Working with Functions topic of the Mathematics Advanced course (Australian Curriculum). Intended use is for year 11/year 12 classes. *Algebraic Techniques sold separately. The solutions and marking criteria are included. It covers a variety of the new syllabus dot points, such as: Defining a functionUsing f(x) notation and substituting numeric and algebraic expressions in for x, including composite functions
11th - 12th, Higher Education
Graphing, Math Test Prep, Other (Math)
HSC Practice Questions - Working with Functions Set 4
Ready to print! This is a ten question revision of original HSC style questions for the Working with Functions topic of the Mathematics Advanced course (Australian Curriculum). Intended use is for year 11/year 12 classes. *Algebraic Techniques sold separately. The solutions and marking criteria are included. It covers a variety of the new syllabus dot points, such as: Defining a functionUsing f(x) notation and substituting numeric and algebraic expressions in for x, including composite functions
11th - 12th, Higher Education
Graphing, Other (Math)
HSC Practice Questions - Working with Functions Set 3
Ready to print! This is a ten question revision of original HSC style questions for the Working with Functions topic of the Mathematics Advanced course (Australian Curriculum). Intended use is for year 11/year 12 classes. *Algebraic Techniques sold separately. The solutions and marking criteria are included. It covers a variety of the new syllabus dot points, such as: Defining a functionUsing f(x) notation and substituting numeric and algebraic expressions in for x, including composite functions
11th - 12th, Higher Education
Graphing, Other (Math)
HSC Practice Questions - Working with Functions Set 2
Ready to print! This is a ten question revision of original HSC style questions for the Working with Functions topic of the Mathematics Advanced course (Australian Curriculum). Intended use is for year 11/year 12 classes. *Algebraic Techniques sold separately. The solutions and marking criteria are included. It covers a variety of the new syllabus dot points, such as: Defining a functionUsing f(x) notation and substituting numeric and algebraic expressions in for x, including composite functions
11th - 12th, Higher Education
Graphing, Other (Math)
HSC Practice Questions - Working with Functions Set 1
Ready to print! This is a ten question revision of original HSC style questions for the Working with Functions topic of the Mathematics Advanced course (Australian Curriculum). Intended use is for year 11/year 12 classes. *Algebraic Techniques sold separately. The solutions and marking criteria are included. It covers a variety of the new syllabus dot points, such as: Defining a functionUsing f(x) notation and substituting numeric and algebraic expressions in for x, including composite functions
11th - 12th, Higher Education
Graphing, Other (Math)
Calculus Word Wall Bulletin Board Posters Anchor Chart
Help your Calculus students grasp essential concepts and terminology with these colorful visual math posters. Use as a Word Wall or on a Bulletin Board, while brightening up your classroom at the same time! Print some of the posters for students notebooks. These are perfect for visual learners. Each is 8 1/2'' by 11" and can be resized. Included are 42 topics for AP Calculus AB, Honors Calculus, or College Calculus 1 plus 12 posters depicting the AP Calculus FRQ Task Verbs. Limit of a Func
11th - 12th, Higher Education
Calculus
Also included in: Calculus Curriculum Supplement Bundle 1
Algorithm Analysis & Design | Complete Step-by-Step Curriculum
This Curriculum covers algorithm design strategies, mathematical analysis, time and space complexity, growth rates, searching, sorting, graph algorithms, and pattern algorithms, with each unit standing as a complete, self-contained lesson while also fitting into a cohesive full course. ────────── ⋆⋅☆⋅⋆ ────────── Curriculum Structure & Coverage 1. Foundations of Algorithms ✏️ Introduction to Algorithms ✏️ Algorithm definition and characteristics ✏️ Algorithm analysis and design concept
10th - 12th, Adult Education, Higher Education
Computer Science - Technology, Engineering, Instructional Technology
AP CALCULUS AB- UNIT 2 STUDY GUIDE DIFFERENTIATION (AP CALCULUS EXAM REVIEW)
Need an effective and relevant way to help your AP Calculus students study for the AP Calculus AB Exam? This ready-to-print study guide makes reviewing essential Unit 2 Differentiation Definition and Basic Derivative Rules convenient, while reinforcing content needed to pass an assessment on Unit 2 and to pass the AP Exam! What's Included:This study guide contains essential theorems, definitions, formulas, and examples.It includes a key in the PDF for easy reference.This study guide includes con
9th - 12th, Higher Education
Calculus
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