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Preview of Dot Product of Two Vectors (2D & 3D)- 50 Practice Problems (Full Solutions)

Dot Product of Two Vectors (2D & 3D)- 50 Practice Problems (Full Solutions)

Created by
Niki Math
This is an engaging practice on dot product of two vectors in two and three dimensions. It contains 50 well thought out practice problems classified into 4 types of 10 problems and 10 mixed/review problems. Students will work on: ▶ computing the dot product of given vectors in component and ijk forms (10 problems) ▶ finding the angle between two vectors ( 10 problems) ▶ determining the value of a parameter for which two vectors will be orthogonal ( 10 problems) ▶ determining the pro
Preview of Other Trig Derivatives - Tanx, Cotx, Secx, and Cscx

Other Trig Derivatives - Tanx, Cotx, Secx, and Cscx

Are there derivatives for the other trig functions? Yes, there are, and we can even derive them easily. In this lesson students will learn the derivatives of all the trig functions and practice how to apply them. Concepts in this lesson are:· Derivations of other trig functions using Quotient Rule with sinx and cosx. · Determining derivatives. · Evaluating derivatives. · Comprehensive chart of all derivatives. (Chain rule not yet included.) You can print this no prep lesson and use it as
Preview of Limits 3 - Laws of Limits worksheet and lesson

Limits 3 - Laws of Limits worksheet and lesson

This worksheet packet will help your students learn to use the laws of limits to simplify an expression in order to find the value of a limit algebraically. Click here to SAVE by buying the entire Limits Bundle which includes a FREE review and test.Click here to view the instructional video that accompanies this work packet. This helpful packet includes five components:Instruction: Use the video (sold separately) in your classroom or use the teacher led portion of the packet to explain the mate
Preview of Calculus BC Quiz: power series

Calculus BC Quiz: power series

This 4-page quiz on Power Series includes algebraic, numeric, and graphical representations. Includes answer KEY. Could also be used as a review/enrichment activity.
Preview of Calculus - Related Rates - An Introduction

Calculus - Related Rates - An Introduction

This activity sheet illustrates four common related rate questions that appear in all calculus AB and BC courses. • The first problem presents two cars that are traveling away from each other on roads that are perpendicular to each other. The problem can be modeled with a right triangle so the Pythagorean Theorem becomes the function to associate with this problem. This equation can be used to generate a related rates equation. From the information that is given students can determine the r
Preview of Introduction to The Mean Value Theorem

Introduction to The Mean Value Theorem

Students often feel overwhelmed when learning about theorems. This introductory lesson offers a concise explanation to the conditions and conclusion for the Mean Value Theorem. By following the included anchor chart, students determine when and how to apply the Mean Value Theorem. Concepts included in this lesson are:Slope of a secant line.Slope of a tangent line. Conditions for the Mean Value Theorem.The Mean Value Theorem.Applying the Mean Value Theorem.Determining the value for c. You ca
Preview of Calculus Notes: Intro to the Derivative

Calculus Notes: Intro to the Derivative

Introduce the derivative as the LIMIT of a DIFFERENCE QUOTIENT. Students are actively involved in the Graphical, Algebraic, and Numerical analysis of the limit of "rise over run" as the "run" decreases toward zero. Students work through four graphical examples of the derivative at a point.
Preview of What is a Derivative?

What is a Derivative?

No Prep. In this mini-lesson, students will explore the difference between average rate of change, a secant line, and instantaneous rate of change, a tangent line or derivative. They will approximate a derivative from tables and graphs. Easy to follow examples help students complete the guided practice. A formative assessment worksheet completes the lesson. (A solution sheet is provided for teacher ease.) Both print and digital editions are available. Use them in your class and/or with o
Preview of The Quotient Rule

The Quotient Rule

Are your students overwhelmed with the Quotient Rule? The Quotient Rule is a long formula, but when we compare it to the Product Rule and then practice using it, the Quotient Rule will be much less intimidating . Concepts in this lesson are:· The Quotient Rule. · Comparison of Product Rule and Quotient Rule · Applying the Quotient Rule. (Anchor Chart included.) · Derivation of the Quotient Rule. (Optional) You can print this no prep lesson and use it as an in-class activity or download the
Preview of General Definition of a Derivative

General Definition of a Derivative

Applying the definition of a derivative is difficult for many students. However, by breaking the lesson into steps, students will generally find success. This lesson begins finding the derivative at a point, and then develops the general definition of a derivative. Concepts in this lesson are:· Definition of a derivative. · Determining derivatives using the definition. · All problems can be completed using the graphic organizer. You can print this no prep lesson and use it as an in-clas
Preview of Calculus 3 / Multivariable Calculus - DOUBLE INTEGRALS in Polar Coordinates

Calculus 3 / Multivariable Calculus - DOUBLE INTEGRALS in Polar Coordinates

Created by
Niki Math
This resource is designed for CALCULUS 3 - a comprehensive and rigorous lesson on Double Integrals in Polar Coordinates, containing 23 problems. The lesson includes ◆ notes & worked out examples ( 5 problems) ◆ practice problems with hints and given answers ( 5 problems) ◆ quiz ( 4 problems) ◆ assignment problems ( 9 problems) All answer keys are included. ********************************************************************* ❣❣❣ PLEASE VIEW THE PREVIEW BEFORE YOU BUY: Please study the pr
Preview of Learning Derivatives: The Chain Rule

Learning Derivatives: The Chain Rule

How do I explain the Chain Rule to my students? Many students struggle with “seeing” the composition of a function, which makes applying the Chain Rule difficult. In this lesson, students will review composite functions and then learn how to apply the Chain Rule, both in a formal way and a more relatable way. Several examples are given, and then students have guided practice problems before they complete the worksheet, which can be used as a formative assessment. This lesson covers the Chain Rul
Preview of Learning Derivatives: Inverse Trig Functions

Learning Derivatives: Inverse Trig Functions

Many students have difficulty relating the inverse trig functions with their derivatives. By using a right triangle to derive some of the inverse derivatives, students can better understand these formulas. Then the students will use the inverse derivatives in the guided practice and formative assessment. The first page of the worksheet is determining derivatives containing inverse trig. The second page is determining the equation of a tangent line and finally deriving the derivative of the inver
Preview of Integrating Trigonometric Functions Task Cards for Calculus in Google and Print

Integrating Trigonometric Functions Task Cards for Calculus in Google and Print

Are your calculus students working on integrating trigonometric functions? If so this resource gives you 10 questions relating to integration of trig functions and provides easy differentiation for your students and classes as it comes with 10 multiple choice questions and 10 free response questions (same questions). This printable and digital task cards no prep quiz autogrades (Google multiple choice forms) to save you time. Integrating and Deriving Trig and Inverse Trig Version Here⚡ Boom
Preview of Derivative and Integrals of Trigonometric Functions Calculus Task Cards Google

Derivative and Integrals of Trigonometric Functions Calculus Task Cards Google

Are your calculus students working on integrating and deriving trigonometric functions? Are you deriving or integrating inverse trig functions? If so this resource gives you 28 questions relating to derivatives and integration of trig functions and their inverses and provides easy differentiation for your students and classes as it comes with 28 multiple choice questions and 28 free response questions (same questions). This printable and digital task cards no prep quiz autogrades (Google mul
Preview of Calculus Lesson: Optimization - Finding Maximums and Minimums in Word Problems

Calculus Lesson: Optimization - Finding Maximums and Minimums in Word Problems

Optimization, like all word problems, are difficult for students. Students will explore optimization problems using given equations and where they provide the needed geometric formulas to determine the maximum or minimum. The anchor charts provide students with steps for solving for absolute extrema by checking endpoints, and when needed, using the second derivative test. The no prep lesson and worksheet are easy for students to follow and complete. Afterwards they can take the formative assessm
Preview of Definite Integrals Mega Review: "Find Out Draco" Hidden Constellation Game

Definite Integrals Mega Review: "Find Out Draco" Hidden Constellation Game

Created by
Niki Math
Conquer the Dragon of Integration with Strategic Precision! 🐲✨ Are your Calculus students ready for the ultimate test of their integration skills? This unique "Hidden Constellation" activity challenges them to solve 16 rigorous definite integrals to map out the legendary stars of Draco! Why this Integration Challenge "Rocks" the Classroom:The Ultimate Technique Review: This isn't just basic practice. To find the stars, students must master every major integration strategy:U-Substitution & Tri
Preview of Calculus Back to School Review and Task Cards

Calculus Back to School Review and Task Cards

Created by
Joan Kessler
Where do you start when you go back? This review is perfect as a review and as a reminder for your students of what they need to know to begin Calculus. This teaching resource is designed for AP Calculus AB, Honors Calculus, and College Calculus 1. Do you jump right in, or do your review? If left to the kids, you could review for 6 weeks or more. But for AP and for College Calculus, there is little time in the tight schedule to review. This activity can be used in a number of ways and effecti
Preview of Calculus - IVT, EVT, and MVT Task Cards

Calculus - IVT, EVT, and MVT Task Cards

These twenty-four task cards are separated into six sets of four cards. Each of the sets of cards has a different focus. • In cards 1-4 the students are asked to explain why the can or cannot use the Intermediate Value Theorem (IVT) to make a conclusion about a function. • In cards 5-8 the students are asked to consider how the Mean Value Theorem (MVT) might be applied to functions. • In cards 9-12 students are asked to explain their reasoning with the Extreme Value Theorem (EVT). • In car
Preview of Addition and Subtraction One-Step Word Problems Worksheets and Task Cards

Addition and Subtraction One-Step Word Problems Worksheets and Task Cards

This resource pack is relates to addition and subtraction one-step word problems. Learning objectives: To solve one-step addition and subtraction word problems.This product includes a 5 Slide PowerPoint Presentation on hints of how to tackle real life word problems. I would read aloud a word problem card displayed on the PowerPoint first and then elicit from the children how they would go about solving the problem. The pack also includes:- 3 sets of differentiated addition word problems workshe
Preview of AP Precalculus Summer Prerequisite Skill Review and Back to School Packet

AP Precalculus Summer Prerequisite Skill Review and Back to School Packet

Ensure your students are built for the rigor of AP® Precalculus from Day 1 with this comprehensive, prerequisite skills review packet!Don't let forgotten Algebra 2 or Geometry skills derail your pacing guide. This fully editable packet targets the exact algebraic foundation, graphing proficiencies, and foundational trigonometry concepts students must master to be successful in both AP® Precalculus and future AP® Calculus courses. With 56 total questions organized into a clean, one-topic-per-p
Preview of AP Calculus BC 100 Practice Questions, Realistic Practice Test | Print & Digital

AP Calculus BC 100 Practice Questions, Realistic Practice Test | Print & Digital

An AP Calculus BC exam study and review, print and digital versions included, covering all College Board units. Each major theorem, rule, and technique is explained, shown with examples, and then practiced with 100 multiple choice questions. Also includes a practice test with the same format as the actual AP Calculus BC exam format (no-calculator and calculator sections, multiple choice and free response questions) and an answer key.
Preview of AP Calculus AB 100 Practice Questions, Realistic Practice Test | Print & Digital

AP Calculus AB 100 Practice Questions, Realistic Practice Test | Print & Digital

An AP Calculus AB exam study and review, print and digital versions included, covering all 8 College Board units — limits, derivatives, integrals, differential equations, and applications. Each major theorem, rule, and technique is explained, shown with examples, and then practiced with 100 multiple choice questions. Also includes a 100-question practice test with the same format as the actual AP Calculus AB exam format (no-calculator and calculator sections, multiple choice and free response qu
Preview of Calculus Integration Review with Formula Sheet and Hints

Calculus Integration Review with Formula Sheet and Hints

Created by
Joan Kessler
This Calculus Integration One or Two Day Review is designed for College Calculus, AP Calculus AB, and AP Calculus BC, has 18 great problems, and is a perfect review of integration before the AP exam for Calculus AB or for Calculus BC students before starting the unit on Techniques of Integration. It is challenging and makes for great for class discussion. All the typical types of integration problems covered in class including trigonometric, u-substitution, inverse trig functions, logarithmic
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