Less than $5 High School 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)

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.

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.

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.

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.

Geometry. Find the surface area and volume of cubes, rectangular prisms, triangular prisms, and cylinders by using geometry formulas. 20 problems total. 2 sets. Each set has 10 problems, 1 blank student worksheet, 1 student worksheet with one sample answer, 1 teacher answer sheet in color, and 1 teacher answer sheet in ink. Grade 3-10. Use for Valentine, or any time of the year. Prep Free! Independent!

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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.

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 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.

No prep lesson for finding missing angles and sides in non-right angled triangles using the law of cosines / cosine rule

• Power Point with proof, two examples of missing sides and two examples for missing angles
• Worksheet including real life problems
• 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.

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.

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.

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.