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
Calculus Curve Sketching
Given functions, students are asked to determine intervals of increase and decrease, maximums, minimums, intervals of concavity, and points of inflection.
12th
Calculus
Test for extrema, inc/dec intervals and concavity
Multiple choice test or practice test for finding extrema (maximums and minimums), concavity, and increasing/decreasing intervals.
11th - 12th
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
Product and Quotient Rules Quiz
This is a 6 question quiz designed to access students ability to apply the product and quotient rules to derivatives. It also includes a derivative of one of the 6 trigonometric functions. This quiz contains no chain rule.
11th - 12th, Higher Education
Calculus
Limit Quiz
Quiz on the following topics:
- Finding limits graphically
- Determine if a graph is continuous at a point
- Finding limits of piece wise functions
- Finding limits using direct substitution and factoring
11th - 12th
Calculus, PreCalculus
Derivatives Quiz (Constant, Sum/Diff, Power, Product, Quotient Rules)
This beginning derivatives quiz covers the constant, sum, difference, power, product, and quotient rules. It does NOT have trigonometric, exponenential, or logarithmic functions and the Chain Rule is not needed.
11th - 12th, Higher Education
Calculus, PreCalculus
Limits Quiz (Calculus)
This is a quiz on limits that can be used in a Precalculus or Calculus class.
10th - 12th, Adult Education, Higher Education
Calculus, Math, 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
Limits and Piecewise Functions
This worksheet asks the student to graph a piecewise function in four pieces. The function includes linear and quadratic equations and has discontinuity.
The students are then asked to find five different limits including a limit from the right and the limit as x approaches a value not shown on the graph.
This document is great for group work, a quiz, or going through an example with the class.
11th - 12th, Higher Education
Calculus, Math
Quiz: The Chain Rule
This quiz will require students to use the Chain Rule (sometimes multiple times), along with the product and quotient rules. Students must also know the derivatives of the six trig functions.
10th - 12th, Higher Education
Calculus, Other (Math), PreCalculus
Pre-Calculus Chapter 1 Quiz - Real Numbers, Relations, etc. EDITABLE
This is a brief, editable quiz for a Pre-Calculus Class and covers Real Numbers, Number Relations, Functions, Mathematical Patterns, and Arithmetic Sequences. Answer Key Included.
10th - 12th, Adult Education, Higher Education
Calculus, Math, 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
Finding Tangent and Normal Lines
This is a bundle of a practice worksheet and a short quiz that I use in my Calculus class after students learn to find normal and tangent lines using limits.
11th - 12th, Higher Education
Calculus, PreCalculus
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:Â Calculus AB Resources (discounted bundle)
Precalculus Final Exam (40 Questions)
Precalculus Final Exam 40 questions Multiple Choice Questions -Open Ended Questions Topics Covered: The formal rules of algebra Functions Graphs Polynomial functions The roots, or zeros, of a polynomial The slope of a straight line Linear functions: The equation of a straight line Synthetic division Roots of polynomials of degree greater than 2 Inverse functions Logarithms Logarithmic and exponential functions Multiplication of sums My Quizzes: 4th Grade Word Problems Quiz (10 Q)Equations and
8th - 12th, Adult Education, Higher Education
Calculus, Math
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:Â Discovering Differentiation Rules Activity Bundle
Precalculus (Midterm Review)
Precalculus (Midterm Review) It covers the first three chapters and the following topics: Functions The x intercept(s), y intercept, and domain of each function below. Symmetry over the x-axis, y-axis, and/or origin. Graphing Functions The average rate of change Roots with multiplicity, and the y-intercept. Rational functions The vertex The factor theorem The Remainder Theorem Polynomial Logarithm and Exponential functions It is 4 pages of questions and 4 pages of answers. My Quizzes: 4th Grade
10th - 12th, Adult Education, Higher Education
Calculus, Math, PreCalculus
CCSS
HSF-TF.A.1
, HSF-TF.A.2
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:Â Calculus AB Resources (discounted bundle)
Rate of Change Tangents and Secants (WS)
This worksheet has students determine the average rate of change at an interval, the instantaneous rate of change at a value for x, the instantaneous rate of change at a general point, and graph the function together with the secant and tangent lines.
Three questions require the graphs and 4 do not.
11th - 12th, Higher Education
Calculus
Derivatives of Logs and Exponentials
This is practice on finding derivatives of logs and exponential functions. I use it in BC to quickly review. Students answer the questions to complete the joke. I don't include a key because upon completion, the joke answer will act as a key. It is a Word Document so you can edit as you see fit. Some problems are multiple choice while some are short-answer. I require students to show work to all types of problems so questions are spaced out to allow students to put work directly on the han
11th - 12th
Calculus
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:Â Calculus AB Resources (discounted bundle)
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