11th Grade Precalculus Worksheets (by price, low to high)

Practice using function notation with numerical values and algebraic expressions

Worked solutions are included

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)

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.

12 questions about the sum of an arithmetic series

• Finding the sum of a series
• Given the sum find the first term or common difference
• Problem solving 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.

Worksheet and solutions for plotting complex numbers in the complex plane (Argand Diagram). Includes representing complex conjugates and sums and products of complex numbers

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.

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. 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.