Less than $5 Precalculus Resources (by date, latest first)

This is a fun and engaging game that can be used as a review or an informal assessment of operations on rational expressions. The operations included are adding, subtracting, multiplying, and dividing.

Minimal preparation for game is needed. Just copy the board games on card stock or laminate if you plan to reuse. Will need some sort of game pieces, but these could be colored paper shapes. I suggest dice, but could use with spinners just as easily.

Answer key and blank board game is included for students to write their answers.

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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Practice using function notation with numerical values and algebraic expressions

Worked solutions are included

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.

Activity to introduce what a function is. 14 graphs drawn and students need to use the vertical line method to determine whether they represent a function.

Students then use the horizontal line method to find the one to one functions

Leads nicely into 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.

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.

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.

Multiplying Complex Numbers Scavenger Hunt. Ideal activity to reinforce and assess understanding. Also a great revision tool.

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

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.

Using the compound angle formulae for sin (A+B) and cos (A+B)

• PowerPoint with proofs and examples
• 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.

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.

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 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.

Using the Quadratic Formula to solve quadratic equations no prep lesson

• PowerPoint that begins with proving the quadratic formula by completing the square. Also includes worked examples for teaching how to use the formula
• Two worksheets with real-life applications as well as standard quadratic equations. There are enough questions to spread over two lessons or use one as a homework task.
• Worked solutions are included for both

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Quadratic Formula 1 Scavenger Hunt

Quadratic Formula 2 Scavenger Hunt

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.

Great puzzle for practising multiplying and dividing complex numbers.

Differentiated questions.

1 Chilli - all multiplications

2 Chillies - one division and two multiplications per arithmagon

3 Chillies - two divisions and one multiplication per arithmagon

There is also some blank ones for students to make up their own to develop some mastery.

Answers 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.

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.

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 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.