Percent Increase and Decrease Quiz
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Derivatives and Motion Problems | Kinematics Calculus Worksheet + Answers
Engage your Year 11 ATAR Mathematics Methods students with this comprehensive Applications of Derivatives to Kinematics worksheet. Designed to build confidence in applying calculus to motion problems, this resource includes a wide range of questions from straightforward calculations to applied problem-solving and mixed challenges. What’s Inside: Part A: Fundamental differentiation practice with displacement, velocity, and acceleration. Part B: Real-world applied kinematics problems (cars, ball
6th - 12th, Adult Education, Higher Education
Calculus, Other (Math), Physics
Increasing Decreasing Rolle's Theorem
Worksheet involving increasing, decreasing functions, Extrema, Mean Value Theorem and Rolle's TheoremThis work by Betty Watson is licensed under a Creative Commons Attribution-Noncommercial 3.0 United States License.
Betty Watson
12th, Higher Education
Calculus
Graph Analysis with the 1st Derivative Practice (Editable)
Problem types: Intervals of increase and decreaseRelative extremaAbsolute extremaDerivative rules needed: Power ruleQuotient ruleChain rule
11th - 12th
Calculus, PreCalculus
Derivatives Graph Analysis Using Tables: Notes, Ex, Handout & Assign (Editable)
This resource includes notes, examples, handout and assignment analyzing graphs of functions using tables. Tables include: · Relative Extrema · Inflection Points · Intervals of Increase and Decrease · Intervals of Concave Upward and Concave Downward · Vertical Asymptotes Students will complete tables with: · Information about f(x) · Information about f'(x) · Information about f''(x) · Description of graph
11th - 12th, Higher Education
Calculus
Properties of Functions Practice
This worksheet uses piecewise graphs to practice all of the major features and properties of functions, and includes an answer key. Topics covered are: interval notation, domain, range, increasing, decreasing, constant, extrema, continuity, and types of discontinuities.
9th - 12th
Calculus, PreCalculus
Pi Day Trivia Activity: Graph Analysis Using 1st Derivative (editable)
Students will use the 1st derivative to answer 20 graph analysis questions in each section . The correct graph analysis answers will lead to the correct answers to trivia questions related to pi. Sections include: finding critical numbersfinding intervals of increase and/or decreasefinding relative extremafinding absolute extrema
11th - 12th
Calculus
Limits - Algebraic Techniques Review and Quiz (2 Versions) - Editable
Skills Included: Evaluating limits by factoringEvaluating limits using the conjugateEvaluating limits of complex fractionsEvaluating limits involving infinityReview and Quiz Layout Review: 14 free response questionsQuizzes: 7 free response questions, 2 bonus question
11th - 12th, Higher Education
Calculus, PreCalculus
Pre-Calculus - Solving Radical Equations and Inequalities - EDITABLE
This is a short worksheet/quiz for a Pre-Calculus class that covers solving different types of radical equations and inequalities. Answer sheet also included.
10th - 12th, Adult Education, Higher Education
Algebra 2, Calculus, PreCalculus
AP Calculus Limits Unit Warmups
AP Calculus AB Big Idea 1: Limits and Continuity. There are 10 practice problems for the limits and continuity unit that can be used for warmups, quizzes, or tests. Complete answer key is included.
10th - 12th, Higher Education
Calculus, Math
Related Rates Practice
This worksheet has five multi-part related rate (Calculus) problems, in order of increasing difficulty. Each problem utilizes a common theme in related-rates problems:
- geometry (surface area and volume)
- a point moving along a curve
- similar triangles
- Pythagorean Theorem
- trigonometry
The problems can be used as an assessment, an in-class assignment, or as homework.
Answer key is included.
10th - 12th
Calculus, Math
Also included in: Calculus AB Resources (discounted bundle)
Discovering the Product Rule by Exploring a Rectangle's Area (Calculus Activity)
I designed this activity as an opportunity for a calculus student to build an intuitive understanding of why the product rule works. While completing this activity, students develop their intuition by exploring a familiar topic (the area of a rectangle). During this activity, students are led to make the following observations: 1. When the length of a rectangle increases, and the width stays the same, the increase in area equals the increase in length times the width. 2. When the width of a rec
10th - 12th, Higher Education
Calculus, Math
Also included in: Discovering Differentiation Rules Activity Bundle
Calculus Lesson Plans Ch. 2A: Definition of Derivative
These are the assignments I give my students for the first chapter in Larson Calculus 10 ed. The Lesson Plans list the dates of assignments, abbreviated objectives, and the assignment. In the assignments you will find problems from the textbook and additional problems the students need for the AP test. You will also find Critical Thinking Journals, dates of quizzes and tests and a list of topics for their Interactive Notebooks (Little Black Books). I created the product in WORD so you can modify
11th - 12th
Calculus
Also included in: Calculus Unit Bundle 2A: Definition of Derivative
Disk and Washer Radius Practice
For most students, the hardest part about finding the volume of a solid of revolution is identifying whether to use disks or washers* and what the radius/radii are. This set of 24 problems lets students focus on those two important aspects, with four sets of six related problems. Students are not asked to complete the (sometimes tedious) calculations to find the volume; instead, they are asked only to focus on identifying whether to use disks or washers and giving expressions for r (and R, for
10th - 12th
Calculus, Math
Also included in: Calculus AB Resources (discounted bundle)
AP Calculus Summer Work Packet
This is for teachers who want to assign summer work to students entering AP Calculus. The file includes six pages of questions about prerequisite skills for Calculus, separated by topic:
- "Super-basic" algebra skills
- Trigonometry
- Higher-level factoring
- Logarithms and exponential functions
- Rational expressions and equations
- Graphing
The file also includes an answer key.
Per the introduction on the first page of the file: "Most questions in this packet were included because they conc
10th - 12th
Calculus, Math
Also included in: Calculus AB Resources (discounted bundle)
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