Calculus Worksheets

This is a "Dr. Martin Luther King Jr. Multiplication Color by Code" worksheet designed to make math practice engaging and educational.

The sheet features a color-by-code activity where students solve multiplication problems and use the answers to color the portrait of Dr. Martin Luther King Jr. The instructions include specific color codes (e.g., black, green, blue, brown, orange, and red) corresponding to the multiplication answers.

Perfect for celebrating Martin Luther King Jr. Day while reinforcing multiplication skills in a fun and interactive way. Suitable for elementary and middle school classrooms.

This is a "Dr. Martin Luther King Jr. Multiplication Color by Code" worksheet designed to make math practice engaging and educational.

The sheet features a color-by-code activity where students solve multiplication problems and use the answers to color the portrait of Dr. Martin Luther King Jr. The instructions include specific color codes (e.g., black, green, blue, brown, orange, and red) corresponding to the multiplication answers.

Perfect for celebrating Martin Luther King Jr. Day while reinforcing multiplication skills in a fun and interactive way. Suitable for elementary and middle school classrooms.

This is a "Dr. Martin Luther King Jr. Multiplication Color by Code" worksheet designed to make math practice engaging and educational.

The sheet features a color-by-code activity where students solve multiplication problems and use the answers to color the portrait of Dr. Martin Luther King Jr. The instructions include specific color codes (e.g., black, green, blue, brown, orange, and red) corresponding to the multiplication answers.

Perfect for celebrating Martin Luther King Jr. Day while reinforcing multiplication skills in a fun and interactive way. Suitable for elementary and middle school classrooms.

Calculus worksheet with QR code to a video explanation. Worked solutions are included.

This uses finding derivatives of functions to find maximum and minimum points in the context of practical problems.

For example, a manufacturer wants a cardboard box to have volume of 500 cm^3 but wants to minimise the amount of cardboard used.

PowerPoint with an example

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Differentiation from first principles

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This lesson on an application of integration where students are required to find the equation of the function, given its derivative. (Power rule only)

• A lesson using integration to find the equation of a curve when you are given the gradient and an initial value
• A single PowerPoint slide with a worked example
• 17 questions of increasing difficulty
• Worked solutions are included
• Black and white and color versions included

LICENSING TERMS: This purchase includes a license for one teacher only for personal use in their classroom. Licenses are non-transferable, meaning they cannot be passed from one teacher to another. No part of this resource is to be shared with colleagues or used by an entire grade level, school, or district without purchasing the proper number of licenses.

COPYRIGHT TERMS: This resource may not be uploaded to the internet in any form, including classroom/personal websites or network drives, unless the site is password protected and can only be accessed by students.

This calculus lesson introducing integration with the power rule

• A lesson practising introducing integration as a reverse of differentiation.
• PowerPoint encourages students to devise the general rule for powers
• 36 questions of increasing difficulty
• Simplification of rational expressions required in later questions.
• Worked solutions are included
• Black and white and color versions included

LICENSING TERMS: This purchase includes a license for one teacher only for personal use in their classroom. Licenses are non-transferable, meaning they cannot be passed from one teacher to another. No part of this resource is to be shared with colleagues or used by an entire grade level, school, or district without purchasing the proper number of licenses.

COPYRIGHT TERMS: This resource may not be uploaded to the internet in any form, including classroom/personal websites or network drives, unless the site is password protected and can only be accessed by students.

Applying integration to the motion of a particle in a straight line.

Worked solutions are included.

This follows on from

Contextual Applications of differentiation - motion in a straight line

Worksheet on implicit differentiation

Include questions on finding gradients, the equations of tangents and normals and finding stationary points.

Worked solutions included for ease with marking and/or sharing with students.

College Board Unit 3.2 Implicit Differentiation

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Calculus - Contextual applications of differentiation - motion in a straight line

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Calculus - Contextual Applications of Differentiation: straight line motion connecting position, velocity and acceleration.

9 questions of increasing difficulty using differentiation to find velocity and acceleration. Also finding maximum/minimum velocities and where a particle changes direction.

Worked solutions are included

No prep lesson for finding the equation of the tangent and normal to a curve using differentiation (Power Rule)

• PowerPoint asking students to sketch a cubic, find the gradient at a point then find the equation of a tangent and a normal
• Question sheet including basic finding the equation of a tangent or normal. More challenging questions involve finding where normals intersect axes and finding areas of triangles.
• Black and white version as well as color version included.
• Worked solutions that can be shared with students to help them review their own work
• All functions of the form ax^n

LICENSING TERMS: This purchase includes a license for one teacher only for personal use in their classroom. Licenses are non-transferable, meaning they cannot be passed from one teacher to another. No part of this resource is to be shared with colleagues or used by an entire grade level, school, or district without purchasing the proper number of licenses.

COPYRIGHT TERMS: This resource may not be uploaded to the internet in any form, including classroom/personal websites or network drives, unless the site is password protected and can only be accessed by students.

Calculus worksheet on differentiating using the product rule and the quotient rules. Follows on from the chain rule and only looks at expressions involving exponents. I always teach this before I move on to differentiating trigonometric functions, logs and exponentials so I can include more complex expressions.

There are 20 questions which are quite meaty which could be split over two lessons, one for product and one for quotient. There are questions on finding equations of normals and tangents at the end.

A black and white version is included

Worked solutions are included plus a QR code for a video on the Chimp-a-roo Maths You Tube Channel. The video derives the rules from first principles and has an example of each.

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Worksheet for finding the derivatives of inverse trigonometric functions.

Includes a worked example on differentiating arcsin x and then students can show how to get the results for arccos x and arctan x.

Questions then rely on using the chain rule and product rule and increase in difficulty.

Worked solutions are included for ease with marking or to give students to review their own work.

Black and White version also included

College Board Unit 3.4 Differentiating Inverse Trigonometric Functions

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PowerPoint introducing gradients of chords and worked examples.

Questions on differentiating powers of x from first principles. Increase in difficulty with a juicy proof at the end.

Black and white version included for printing

Answers are included in the form of my worked solutions

QR code for a link to a video explanation

LICENSING TERMS: This purchase includes a license for one teacher only for personal use in their classroom. Licenses are non-transferable, meaning they cannot be passed from one teacher to another. No part of this resource is to be shared with colleagues or used by an entire grade level, school, or district without purchasing the proper number of licenses.

COPYRIGHT TERMS: This resource may not be uploaded to the internet in any form, including classroom/personal websites or network drives, unless the site is password protected and can only be accessed by students.

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Derivatives of powers of x Scavenger Hunt

Calculus Gradient Match card sort

Calculus - Exploring graphs

Calculus - Differentiation using the chain rule Scavenger Hunt

Calculus - Optimization using differentiation

Scavenger Hunt - Differentiating logarithms and exponentials

Calculus - Contextual applications of differentiation - motion in a straight line

Calculus - Contextual applications of integration - motion in a straight line

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Calculus - Differentiating Inverse Trigonometric Functions

Calculus - Differentiation - Maximum and Minimum points

Two worksheets involving differentiation of trigonometric functions

1. 40 + questions involving chain rule, product and quotient rule. Also finding equations of tangents and normals to trigonometric curves. Worked solutions are included. There is enough to last a couple of lessons
2. Homework sheet with a selection of questions on the topics listed above

LICENSING TERMS: This purchase includes a license for one teacher only for personal use in their classroom. Licenses are non-transferable, meaning they cannot be passed from one teacher to another. No part of this resource is to be shared with colleagues or used by an entire grade level, school, or district without purchasing the proper number of licenses.

COPYRIGHT TERMS: This resource may not be uploaded to the internet in any form, including classroom/personal websites or network drives, unless the site is password protected and can only be accessed by students.

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Differentiation from first principles

Derivatives of powers of x Scavenger Hunt

Calculus Gradient Match card sort

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Calculus - Differentiation using the chain rule Scavenger Hunt

Calculus - Optimization using differentiation

No Prep lesson for differentiating composite functions using the chain rule.

• Activity to Expand, Differentiate and Factor to see the pattern of how the chain rule works
• PowerPoint with examples for teachers and students to practice.
• Worksheet using the chain rule for functions, followed by application to find tangents, normals and stationary points.
• Worked solutions included.

LICENSING TERMS: This purchase includes a license for one teacher only for personal use in their classroom. Licenses are non-transferable, meaning they cannot be passed from one teacher to another. No part of this resource is to be shared with colleagues or used by an entire grade level, school, or district without purchasing the proper number of licenses.

COPYRIGHT TERMS: This resource may not be uploaded to the internet in any form, including classroom/personal websites or network drives, unless the site is password protected and can only be accessed by students.

A no prep lesson practising finding derivatives of powers of x (power rule)

• PowerPoint slide with three examples
• Students will practice (a) Writing expressions in exponent form before differentiating, (b) Multiplying out expressions and using laws of exponents before differentiating (c) Simplifying algebraic fractions and turning expressions into exponent form
• Worksheet 1 - 54 functions to differentiate
• Worksheet 2 - 30 questions similar to first sheet. Ideal for a homework task or revision at a later date.
• B&W and color versions included
• Worked solutions to model answers
• Writing expressions in exponent form before differentiating
• Multiplying out expressions and using laws of exponents before differentiating
• Simplifying algebraic fractions and turning expressions into exponent form

This follows from the following lesson:

Differentiation from First Principles

where students derive the power rule

LICENSING TERMS: This purchase includes a license for one teacher only for personal use in their classroom. Licenses are non-transferable, meaning they cannot be passed from one teacher to another. No part of this resource is to be shared with colleagues or used by an entire grade level, school, or district without purchasing the proper number of licenses.

COPYRIGHT TERMS: This resource may not be uploaded to the internet in any form, including classroom/personal websites or network drives, unless the site is password protected and can only be accessed by students.

A worksheet using the first and second derivatives to find stationary points. Mainly maximum and minimum but does have a couple of examples of stationary points of inflection. All curves are functions involving powers of x.

*Points of inflection will be looked at in more detail in an upcoming shapes of curves worksheet/activity.

Answers are included as detailed work solutions.

Black and White version included

College Board Unit

5.4 Using the first derivative test to determine local extrema

5.7 Using the second derivative test to determine extrema

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Differentiation from first principles

Derivatives of powers of x Scavenger Hunt

Calculus Gradient Match card sort

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Calculus - Differentiation using the chain rule Scavenger Hunt

Calculus - Optimization using differentiation

Scavenger Hunt - Differentiating logarithms and exponentials

Calculus - Contextual applications of differentiation - motion in a straight line

Calculus - Contextual applications of integration - motion in a straight line

Calculus - Differentiation - The Product and Quotient Rules

Calculus - Differentiating Inverse Trigonometric Functions

A lesson on sketching reciprocal graphs.

• A PowerPoint reminding students of the shapes of y = a/x and y = a/x^2
• Use algebra to solve equations relating to the intersection of a line and a reciprocal
• Sketching more complex reciprocal functions of the form (ax + b)/(cx + d)
• Sketching functions of the form [Quadratic]/[Linear]
• Extension questions
• Worked solutions included
• B &W and color versions included
• Ideal for students preparing for University

LICENSING TERMS: This purchase includes a license for one teacher only for personal use in their classroom. Licenses are non-transferable, meaning they cannot be passed from one teacher to another. No part of this resource is to be shared with colleagues or used by an entire grade level, school, or district without purchasing the proper number of licenses.

COPYRIGHT TERMS: This resource may not be uploaded to the internet in any form, including classroom/personal websites or network drives, unless the site is password protected and can only be accessed by students.

Learn and practice the definite integral with this complete lesson. In this print and go lesson, you can print all 8 pages out and give it out as a packet to start the topic. Have them start off completing the word search with vocabulary associated with the definite integral. Go through the guided notes with the the definite integral examples with them (or they can do it alone with the guidance of the notes). Then have them work with a partner to complete the partner problems. After that they will complete the independent practice to see what they understand on their own. You can assign them the HW for the night. The next day they can summarize what they learned, reflect on what was challenging and what was not and then rate themselves on a scale of 1-4 to self assess how well they understood evaluating the definite integral.

TOPICS:

- Evaluating the Definite Integral (not including u-substitution)

ANSWER KEY INCLUDED.

WHAT YOU GET:

>> DO NOW: Students will complete a short word search to familiarize themselves with the vocabulary associated with parabolas. They will fill in a chart reflecting on words they have heard of and have not.

>> GUIDED NOTES: You can go through the vocabulary, guided notes and 3 guided examples with your students. You will also get a list of antiderivative rules and examples of each.

>>PARTNER PROBLEMS: They will each complete 5 problems each and then check each others problems to reinforce the concepts of parabolas.

>>INDEPENDENT PROBLEMS: Students will then work alone to see how well they understand parabolas on their own without the help of their partner and complete 10 problems.

>>HW: Students will complete 6 practice problems to practice parabolas.

>>SUMMARIZE, REFLECT, ASSESS: Students will summarize the lesson, reflect on the challenges they had and then self assess from 1-4 to determine how well they understood parabolas.

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Learn and practice optimization with this complete lesson. In this print and go lesson, you can print all 7 pages out and give it out as a packet to start the topic. Have them start off completing the word search with vocabulary associated with the optimization. Go through the guided notes with the optimization example with them (or they can do it alone with the guidance of the notes). Then have them work with a partner to complete the partner problems. After that they will complete the independent practice to see what they understand on their own. You can assign them the HW for the night. The next day they can summarize what they learned, reflect on what was challenging and what was not and then rate themselves on a scale of 1-4 to self assess how well they understood optimization.

TOPICS:

- Optimizing rectangular prisms

- Optimizing Volume

- Optimizing Surface Area

- Optimizing Sum

- Optimizing Product

- Optimizing Revenue

- Optimizing Perimeter

ANSWER KEY INCLUDED.

WHAT YOU GET:

>> DO NOW: Students will complete a short word search to familiarize themselves with the vocabulary associated with optimization. They will fill in a chart reflecting on words they have heard of and have not.

>> GUIDED NOTES: You can go through the vocabulary, guided notes and guided example with your students. You will also get a list of formulas for volume, surface area, area and perimeter.

>>PARTNER PROBLEMS: They will each complete 3 problems each and then check each others problems to reinforce the concepts of optimization.

>>INDEPENDENT PROBLEMS: Students will then work alone to see how well they understand optimization on their own without the help of their partner and complete 4 problems.

>>HW: Students will complete 4 practice problems to practice optimization.

>>SUMMARIZE, REFLECT, ASSESS: Students will summarize the lesson, reflect on the challenges they had and then self assess from 1-4 to determine how well they understood optimization.

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More Algebra 2 Resources

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