12th Grade Precalculus Worksheets

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.

These 5 No Prep Complex Numbers Activities will keep your students engaged and excited to learn how to add, subtract, multiply and divide complex/imaginary numbers. Included are 5 print and go activities that contain over 80 questions - an error analysis maze, a mystery worksheet, a scavenger hunt, a cut and paste and a color by number.

What you get:

- Circle Maze (30 questions) with workspace page

- Scavenger Hunt (12 questions)

- Color by Number (16 questions) with workspace page

- Cut and Paste (16 questions)

- Mystery Worksheet (12 questions) with workspace page

Topics Included:

- Adding Complex Numbers

- Subtracting Complex Numbers

- Multiplying Complex Numbers

- Dividing Complex Numbers (the conjugate)

- Powers of i

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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.

If you are looking for your students to practice simplifying rational expressions using greatest common factor (GCF) and trinomial factoring, this is the product for you! With 18 different questions included as well as 3 guided examples at the top of the page for your students reference, this product is the perfect worksheet to really get them to understand how to simplify rational expressions before a quiz, test or to even use as a classwork assessment since it comes with an answer key!

INCLUDED:

- 2 Page Worksheet

- 18 simplifying rational expressions practice

- 3 guided examples

- Answer Key

LINKED PRODUCT HIGHLIGHT

If you want a more involved lesson that is completely done for you from warm up to assessment, differentiated and NO PREP REQUIRED on simplifying rational expressions, check out this resource in my store:

ALGEBRA 2 DIFFERENTIATED LESSON PLAN (SIMPLIFYING RATIONAL EXPRESSIONS)

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.

Learn and practice graphing log functions 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 graphing log functions. Go through the guided notes with the graphing log function 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 graphing log functions.

TOPICS:

- Graphing log functions

- Making x/y tables

- Determining intercepts, domain, range, and asymptotes

ANSWER KEY INCLUDED.

WHAT YOU GET:

>> DO NOW: Students will complete a short word search to familiarize themselves with the vocabulary associated with log functions. 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 4 guided examples with your students.

>>PARTNER PROBLEMS: They will each complete 2 problems each and then check each others problems to reinforce the concepts of graphing log functions.

>>INDEPENDENT PROBLEMS: Students will then work alone to see how well they understand graphing log functions on their own without the help of their partner and complete 2 problems.

>>HW: Students will complete 2 practice problems to practice graphing log functions

>>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 graphing log functions.

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More Algebra 2 Resources

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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 graphing exponential functions 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 graphing exponential functions. Go through the guided notes with the graphing exponential function 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 graphing exponential functions.

TOPICS:

- Graphing exponential functions

- Making x/y tables

- Determining intercepts, domain, range, and asymptotes

ANSWER KEY INCLUDED.

WHAT YOU GET:

>> DO NOW: Students will complete a short word search to familiarize themselves with the vocabulary associated with exponential functions. 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 4 guided examples with your students.

>>PARTNER PROBLEMS: They will each complete 2 problems each and then check each others problems to reinforce the concepts of graphing exponential functions.

>>INDEPENDENT PROBLEMS: Students will then work alone to see how well they understand graphing exponential functions on their own without the help of their partner and complete 2 problems.

>>HW: Students will complete 2 practice problems to practice graphing exponential functions.

>>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 graphing exponential functions.

You might also like:

More Algebra 2 Resources

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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.

Second no prep lesson on Partial Fractions. This one concerns the situation when the denominator consists of a linear factor and an irreducible non repeating quadratic factor.

• PowerPoint with a teacher example and a similar one for students to try
• Worksheet with differentiated questions - middle section of questions review factoring sums and differences of two cubes which are needed to the extension section (3 Bananas)
• Full worked solutions included

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Partial Fractions 1 - non repeating linear factors 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 solving equations and inequalities involving the absolute value function.

• PowerPoint with examples [x-a]=k and [x=a]>k,
• Extension examples with [ax+b]=[cx+d]
• Worksheet and 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 mixture of problem solving questions on Arithmetic and Geometric Series.

A useful task to assess understanding of both types of series. Could also be used as a homework task or a class assessment.

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.

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.

Activity involving stretches of sinx. Students to use graphing software to help plot transformations and describe them. Answer sheet included

Worksheet and solutions on applying the knowledge

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.

Worksheet and worked solutions for introducing the absolute value function.

Students will sketch transformations of the absolute value of x.

Students also be able to write inequalities using the absolute value function

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.

Practice using function notation with numerical values and algebraic expressions

Worked solutions are included

No prep lesson

• Activity to introduce and discover rules for translating functions. Use of graphing software is ideal. Answers included
• Worksheet on translating functions, sketching translated graphs and finding the algebraic equations of the new graphs
• 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.