Higher Education Calculus Resources

Are you teaching your High School students about Functions Limit - continuity- derivative? Plenty of examples and application exercises are included. You can also easily convert this to a Google Slides lesson by dragging it into your Google Drive.

What is included?

✦ 20 total slides for notes, examples and applications.

✦ All steps are animated to allow the teacher to explain them gradually.

Throughout the Lesson, students will be introduced to the following:
✦ Limit

✦ Continuity:

• ✦ Continuity at a point
• ✦ Continuous Function on an Interval

✦ Composite of two functions

✦ Derivative

✦ Asymptotes

This resource is great for:

• In-Classroom Teaching (Displaying for the Whole Class)
• Online Learning
• Homeschooling
• Sharing on Google Classroom or Other Platforms as a Tool for Revision

-Follow us on TeachShare to be informed with new products and updates.

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Other Resources:

⤞ Integration | Definite & Indefinite integral| High School Math PowerPoint Lesson

⤞ Trigonometric Formulas | High School Math PowerPoint Lesson Slides

⤞ Trigonometry Trigonometric Equations | High School Math PowerPoint Lesson Slides

⤞ Sign of The 2nd Degree Polynomials | High School Math PowerPoint Lesson Slides

⤞ Orthogonality In Space | High School Math PowerPoint Lesson Slides

Are you teaching your High School students about Logarithm Functions? Plenty of examples and application exercises are included. You can also easily convert this to a Google Slides lesson by dragging it into your Google Drive.

What is included?

✦ 9 total slides for notes, examples and applications.

✦ All steps are animated to allow the teacher to explain them gradually.

Throughout the Lesson, students will be introduced to the following:
✦ Definition

✦ Domain of definition

✦ Limits of ln⁡x

✦ Derivatives

✦ Graph of f(x)=ln⁡x

✦ Properties

✦ Base of logarithm

This resource is great for:

• In-Classroom Teaching (Displaying for the Whole Class)
• Online Learning
• Homeschooling
• Sharing on Google Classroom or Other Platforms as a Tool for Revision

-Follow us on TeachShare to be informed with new products and updates.

➵➵➵➵➵➵➵➵➵➵➵➵➵➵➵➵➵➵➵➵➵➵➵➵➵➵➵➵➵➵➵➵➵➵➵➵

Other Resources:

⤞ Functions Limit continuity derivative| High School Math PowerPoint Lesson Slides

⤞ Integration | Definite & Indefinite integral| High School Math PowerPoint Lesson

⤞ Trigonometric Formulas | High School Math PowerPoint Lesson Slides

⤞ Trigonometry Trigonometric Equations | High School Math PowerPoint Lesson Slides

⤞ Sign of The 2nd Degree Polynomials | High School Math PowerPoint Lesson Slides

Are you teaching your High School students about Exponential Functions? Plenty of examples and application exercises are included. You can also easily convert this to a Google Slides lesson by dragging it into your Google Drive.

What is included?

✦ 7 total slides for notes, examples and applications.

✦ All steps are animated to allow the teacher to explain them gradually.

Throughout the Lesson, students will be introduced to the following:
✦ Exponential Function Definition

✦ Tabular Integration Derivative and Antiderivative

✦ Exponential Function Properties

This resource is great for:

• In-Classroom Teaching (Displaying for the Whole Class)
• Online Learning
• Homeschooling
• Sharing on Google Classroom or Other Platforms as a Tool for Revision

-Follow us on TeachShare to be informed with new products and updates.

➵➵➵➵➵➵➵➵➵➵➵➵➵➵➵➵➵➵➵➵➵➵➵➵➵➵➵➵➵➵➵➵➵➵➵➵

Other Resources:

⤞ Logarithm Functions | High School Math PowerPoint Lesson Slides

⤞ Functions Limit continuity derivative| High School Math PowerPoint Lesson Slides

⤞ Integration | Definite & Indefinite integral| High School Math PowerPoint Lesson

⤞ Trigonometric Formulas | High School Math PowerPoint Lesson Slides

⤞ Trigonometry Trigonometric Equations | High School Math PowerPoint Lesson Slides

Use this Treasure / Scavenger Hunt after introducing the reverse of differentiation.

These are all definite integrals for powers of x. Some questions need to be rewritten in exponent form and others require some simple algebraic manipulation first.

Instructions

• Print off the twenty question pages and put them up around the room
• Each question is in the middle of the page and the solution is at the top of another page.
• Answers are correct to two decimal places where appropriate
• A student begins on a given question, solves it and finds the answer on another sheet. The question on this sheet will be the next question they answer. Once they have answered all twenty, they will return to their starting question
• Depending on numbers, students can all start on different questions
• There is a student answer sheet included plus the correct sequence

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 fun activity to keep students moving whilst differentiating using the chain rule. This focuses on functions that are powers of x.

• Print off the twenty question pages and put them up around the room
• Each question is in the middle of the page and the solution is at the top of another page.
• A student begins on a given question, solves it and finds the answer on another sheet. The question on this sheet will be the next question they answer. Once they have answered all twenty, they will return to their starting question
• Depending on numbers, students can all start on different questions
• There is a student answer sheet included plus the correct sequence

This can be used when introducing the chain rule. No knowledge of derivatives of trigonometric functions, exponentials and logarithms needed.

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 - Powers of x Treasure Hunt

Differentiation from first principles

Calculus - Gradient Match card sort activity

Use this Treasure / Scavenger Hunt to practice the chain rule by differentiating, trigonometric functions, logarithms and exponentials.

Instructions

• Print off the twenty question pages and put them up around the room
• Each question is in the middle of the page and the solution is at the top of another page.
• A student begins on a given question, solves it and finds the answer on another sheet. The question on this sheet will be the next question they answer. Once they have answered all twenty, they will return to their starting question
• Depending on numbers, students can all start on different questions
• There is a student answer sheet included plus the correct sequence

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.

Are you teaching your High School students about Addition of Vectors? Plenty of examples and application exercises are included. You can also easily convert this to a Google Slides lesson by dragging it into your Google Drive.

What is included?

✦ 13 total slides for notes, examples and applications.

✦ All steps are animated to allow the teacher to explain them gradually.

Throughout the Lesson, students will be introduced to the following:
✦ Characterization of a vector
✦ Equipollent vectors
✦ Representation of a vector
✦ Addition of vectors
✦ Subtraction of Vectors
✦ Decomposition of a vector

This resource is great for:

• In-Classroom Teaching (Displaying for the Whole Class)
• Online Learning
• Homeschooling
• Sharing on Google Classroom or Other Platforms as a Tool for Revision

-Follow us on TeachShare to be informed with new products and updates.

➵➵➵➵➵➵➵➵➵➵➵➵➵➵➵➵➵➵➵➵➵➵➵➵➵➵➵➵➵➵➵➵➵➵➵➵

Other Resources:

⤞ Thales' Theorem | PowerPoint Presentation Lesson slides High School Geometry

⤞ Linear Functions and Proportionality| PowerPoint Presentation Lesson High School

⤞ Systems of Equations | PowerPoint Presentation Math Lesson slides High School

⤞ Equations of Parallel & Perpendicular Line | PowerPoint Presentation Lesson High

⤞ Angles in Circles using Tangents | PowerPoint Presentation Lesson | High School

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.

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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Differentiation from first principles

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

Calculus matching activity. There are 12 graphs. 6 are graphs of functions and 6 are graphs of their corresponding gradient. However they have been mixed up.

Student task is to match up the graphs with their gradient function.

Extension task to suggest equations of the graphs. Actual equations are given in the solution however the extension can create some great discussion.

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.

You may also like

Differentiation from first principles

Derivatives of powers of x Scavenger Hunt

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

Calculus - Differentiation - The Product and Quotient Rules

Calculus - Differentiating Inverse Trigonometric Functions

Calculus - Differentiation - Maximum and Minimum points

This activity is designed to relate calculus and sketching graphs. Using first and second derivatives to find and identify the nature of stationary points.

Students can work in pairs or individually to suit your class.

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.

You may also like:

Calculus - differentiation from first principles

Calculus - Gradient Match card sort activity

Calculus Derivatives of powers of x Treasure Hunt (Scavenger Hunt)

Calculus - Chain Rule Treasure Hunt (Scavenger Hunt)

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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Differentiation from first principles

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

Calculus - Differentiation - The Product and Quotient Rules

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

You may also like:

Differentiation from first principles

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

Calculus - Differentiation - The Product and Quotient Rules

Calculus - Differentiating Inverse Trigonometric Functions

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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Differentiation from first principles

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

Calculus - Differentiation - The Product and Quotient Rules

Calculus - Differentiating Inverse Trigonometric Functions

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

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

Use this Treasure / Scavenger Hunt to practice differentiating logarithms and exponentials. Also practices the product rule, quotient rule, chain rule and rules of logarithms

Instructions

• Print off the twenty question pages and put them up around the room
• Each question is in the middle of the page and the solution is at the top of another page.
• Answers are correct to two decimal places where appropriate
• A student begins on a given question, solves it and finds the answer on another sheet. The question on this sheet will be the next question they answer. Once they have answered all twenty, they will return to their starting question
• Depending on numbers, students can all start on different questions
• There is a student answer sheet included plus the correct sequence

You may also like

Differentiation from first principles

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

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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Calculus - Algebra - Differentiation - Exploring Graphs