High School Precalculus PowerPoint Presentations

First lesson on splitting rational expressions into partial fractions.

PowerPoint with warm up questions on adding and subtracting rational expressions. There are three worked examples for the teacher, with a matching one for students to try.

Worksheet with 3 differentiated sections:

1. denominators factored
2. denominators require factoring first
3. Extension questions

Worked solutions are 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.

Discover the ultimate PowerPoint presentation for mastering the conversion between degrees and radians.

This comprehensive resource is designed for seamless integration in both traditional and online classrooms, accommodating various learning styles.

With its format, it's the ideal tool for synchronous or asynchronous learning.

Packed with 26 exercises and in-class practice opportunities, this resource ensures your students develop a solid foundation in this crucial topic.

Additionally, we've included an answer key for your convenience.

Elevate your teaching with this all-in-one solution today.

If you prefer a Google Slides version check:

Converting Degrees and Radians Notes and Exercises Google Slides

Suitable for IB MYP Middle Years Programme

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All rights reserved by author.

Permission to copy for single classroom use only.

Not for public display.

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No prep lesson for discovering the double angle formulae.

This follows on from Trigonometry - Compound Angles no prep lesson

• A PowerPoint using compound angles to deduce the double angle formulae with two examples of proving identities
• A two page worksheet with over 30 questions involving equations and identities
• 5 pages of worked solutions to accompany this.

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.

Multiplying complex numbers no prep lesson with

• A Power Point with examples of multiplying complex numbers and equating coefficients to find unknowns
• Worksheet with worked solutions

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 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.

No prep lesson introducing the Factor Theorem

• PowerPoint showing the Factor Theorem and using it to factorise polynomials
• Worksheet with questions of increasing difficulty including solving cubic equations by factorisation
• B&W and color versions included
• Worked solutions to model answers

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.

Introduction to complex numbers and imaginary numbers no prep lesson.

• Power Point begins with introducing i as the square root of (-1), simplifying radicals of negative numbers, solving quadratics with complex roots and finally, adding and subtracting complex numbers
• Worksheet includes examples on all of the above
• Worked solutions are included to share with students should you wish

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.

No Prep Lesson on finding the sum of an infinite geometric series (The Sum to Infinity)

• PowerPoint with introduction
• Worksheet
• Worked Solutions

This follows the previous lesson: Finding the sum of a geometric series.

Sum of a Geometric Series No Prep Lesson

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.

No Prep Lesson for the law of sines / sine rule.

• Power Point with the proof, examples of finding sides, angles and the ambiguous case
• Worksheet with basic problems and real-world problems
• 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.

This resource provides students with a comprehensive introduction to parametric equations. It includes a PowerPoint presentation with clear explanations and two examples of drawing graphs in parametric form.

In addition to the PowerPoint, this resource includes a worksheet that guides students through an investigation of a number of equations using technology. The worksheet is designed to help students apply the knowledge they gained from the PowerPoint presentation to solve problems in a practical context. The questions are challenging and require students to use various tools, including graphing calculators and software, to explore the graphs of the given equations in parametric form.
Furthermore, the resource offers worked solutions to all the questions in the worksheet, enabling students to check their answers and understand the solution process in detail. The solutions provide step-by-step explanations of how to solve the problems using technology, making it easier for students to grasp the concepts involved.

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.

No prep lesson. PowerPoint begins with a definition of a radian and then convert between radians and degrees. Also includes the application of radians to find the arc length and sector area. Extension includes area of a segment.

Worksheet and worked solutions convert between radians and degrees and problem solving in finding arc lengths, areas of sectors and segments

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.

Third no prep lesson on Partial Fractions. This is where the denominator consists of a repeated linear factor.

• PowerPoint with example for teachers and a similar one for students to attempt
• Differentiated worksheet where second exercise require factoring cubics on the denominator

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Partial Fractions 1 -non repeating linear factor no prep lesson

Partial Fractions 2 - irreducible quadratic factor no prep lesson

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.

No Prep Lesson on finding the missing angles in a right angled triangle using trigonometry

• Power Point with two examples on each finding an angle. One is a teacher example then a question for students to try
• Worksheet on finding angles with some real world examples (Includes QR code for You Tube video)
• 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.

No prep lesson for finding composite functions

• PowerPoint with numerical and algebraic examples of composite functions. Also includes examples for solving equations where a composite function is required to be found first
• Worksheet with increasing difficulty and worked solutions included

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Functions - Function Notation

Functions - Domain and Range no prep lesson

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 great way to follow on from a lesson on finding the equation of perpendicular lines.

This combines gradients of perpendicular lines, finding equations of straight lines and circle theorems. Includes some challenging questions to encourage students to think across topics.

Worked solutions are included for students to reflect on their work and check their answers.

A power point is also included to introduce the lesson

No Prep lesson for finding the sum of a finite geometric series

• Powerpoint including the Proof of the formula for the sum of a geometric series
• Accompanying worksheet with increasing difficulty of questions
• Worked solutions

Follows on nicely from

Geometric Sequences no prep lesson

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.

No Prep Lesson on finding the missing lengths in a right angled triangle using trigonometry

• Power Point with two examples on each finding a shorter side or hypotenuse. One each slide there is a teacher example then a question for students to try
• Worksheet on finding lengths with some real world examples (QR code with link to video)
• 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.

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Finding Missing Lengths Scavenger Hunt

Dividing Complex Numbers, No Prep Lesson with

• Power Point with warm up multiplying complex conjugates, examples on dividing complex numbers.
• Worksheet with questions of increasing difficulty to stretch students
• 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.

Domain and Range of Functions no prep lesson

• Line Test Activity - students draw vertical lines to identify functions and horizontal lines to test for one-to-one functions
• PowerPoint introducing domain and range
• Worksheet with:

1. Find the range of a function given the domain
2. Find which values cannot be in a domain of a function

• Solutions are included

Follows on from:

Function Notation

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.

No prep lesson for finding inverse functions.

• PowerPoint with teacher examples and 'Your Turn' examples for students to try themselves.
• Worksheet with increasing difficulty of questions, including so investigation and extension (completing the square required one question)
• 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.