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
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
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
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)
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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