12th Grade Algebra Independent Work Packet

It is always a very good time to do (or review) this important piece of Math. It will set the tone for the rest of the year if they know this well!

This task, (and its complete answer key), covers the topic of Geometric Sequences and Series. Students will learn how to

• Use the equation for a geometric sequence to determine the n-th term
• Use the equation for a geometric series to determine the sum of n terms
• Write down the explicit formula for a given geometric sequence

The task can be used as an end-of-unit assessment in the form of a class test or take-home assignment.

Arithmetic Sequences, Sum of Arithmetic Series, Geometric Sequences, Sum of Geometric Series, Sigma-notation, Investments, Compound Interest, Annuities, Future Value, Present Value, Recurring Formula, Explicit Formula, constant difference, constant ratio, first term, n-th term, sum of n terms.

You might want to take a look also at this Geometric Series and Compound Interest Bundle!

https://www.TeachShare.com/Product/Back-to-school-Arithm-and-Geom-Sequence-Plus-SeriesCompound-Interest-Bundle-6767544

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It is always a very good time to review important pieces of our students' Math journey with them!

This task card covers all the important topics in arithmetic sequences and series and can be used as an end-of-chapter assessment. The task card covers

• Explicit and Recurring formulas
• the formula for the n-th term in a sequence
• the formula for the sum of n terms in a series

The task card contains all needed formulas and a complete answer key. Students practice how to ...

1. calculate the n-th term
2. the sum of n terms
3. how many terms add to a certain sum and
4. they calculate the first term of an arithmetic series.

Recurring formula, Explicit formula, first term a, constant difference d, Term n in the sequence, the sum of n terms of an arithmetic sequence.

You may want to look at this Bundle for Financial Math also!

https://www.TeachShare.com/Product/Back-to-school-Arithm-and-Geom-Sequence-Plus-SeriesCompound-Interest-Bundle-6767544

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A very interesting piece of the Real-Life Math puzzle that is the ultimate activity!

This resource helps students to see how their knowledge of Rules of Divisibility, Divisors, Remainders, Telling Time are applied in real life. These skills are essential parts of RSA encryption - the most widely used form of cryptography.

The task, (with key), will involve...

The powers of 2

Introduction to Modular Arithmetic (telling time with a different base than 12)

The concept of congruent versus equal

Discovering the very powerful Euler Formula

This resource works great as ...

• a task
• independent work
• distance learning
• math stations
• math centers
• homework
• constructive group work when introducing the topic.

You might also want to look at the Bundle for all the Math for the RSA Cryptosystem!

https://www.TeachShare.com/Product/A-fun-Back-to-school-activity-9-tasks-on-Mathematics-of-the-RSA-Cryptosystem-6021150

If you enjoyed this resource, please leave a REVIEW at your leisure, for other possible buyers to know how you have experienced it. Thank you so much!

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I love to improve my resources, so any constructive feedback from you will be extremely welcome. 

Enjoy this resource.

https://www.TeachShare.com/Store/Real-life-Mathematics

Modular Arithmetic is a central part of the RSA Public Key Cryptosystem and mathematicians, programmers and students who encrypt data will use it all the time.

It is important that students know (and that teachers always remind them) when they are busy with these topics, that they are learning fundamental mathematics needed to encrypt data and secret messages.

This Harry Potter cartoon coordinate system graphic art mystery picture would be ideal for students that are just beginning with graphing coordinates or students that need a little extra practice. It is also a great fun activity and engaging worksheets for Grade 4-12 for any time of the year. Prep free! Differentiated! Independent!

The picture has two different graphing options to easily provide differentiation in your classroom.

- One picture to be graphed in first quadrant with positive whole numbers only only

- One picture to be graphed in all four quadrants with positive and negative whole numbers

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A very interesting piece of the Real-Life Math puzzle that is the ultimate Back-to-school activity!

This resource is a middle and high school task, with complete key on factors, multiples, products, remainders and divisibility. The math covered is fundamental to RSA encryption, the surprise is, it is actually very easy and can be mastered by any middle or high schooler.

This resource works great as ...

• an assessment exercise
• a task
• independent work
• distance learning
• math stations
• math centers
• homework
• constructive group work when introducing the topic.

You might also want to look at the Bundle for all the Math for the RSA Cryptosystem!

https://www.TeachShare.com/Product/A-fun-Back-to-school-activity-9-tasks-on-Mathematics-of-the-RSA-Cryptosystem-6021150

Please follow my store here to get notified of all new resources I create.

I love to improve my resources, so any constructive feedback from you will be extremely welcome. 

Enjoy this resource.

https://www.TeachShare.com/Store/Real-life-Mathematics

Multiplication (Times) Tables, Products, Factors, Multiples, Prime Numbers and Rules for Divisibility form an important part of the RSA Public Key Cryptosystem. It is important that students know (and that teachers always remind them) when they are busy with these topics, that they are learning fundamental mathematics needed to encrypt data and secret messages.

This task, (with key), focuses on ...

Multiplication Tables

Listing Products in a set

Listing all the Factors of an Integer in a set

Listing Multiples of an Integer in a set

The proper notation for Factors, Products and Multiples

The qualities of Prime and Composite Numbers

The Rules of Divisibility of Integers

Exciting News: This task is the first of 7 that will teach students ALL the mathematics they need to be able to do RSA Encryption. You can find them all here.

This complete Simplifying Square and Cube Roots with and without variables scavenger hunt activity worksheets are perfect for keeping your students engaged in order to practice simplifying square and cube roots! You will get 4 scavenger hunt worksheets, 1 reference sheet, 1 practice worksheet and a workspace page, which can cover your lessons on this topic!

What you get:

- 4 scavenger hunt worksheets (12 questions per worksheet)

- Workspace page

- Practice Worksheet with 10 questions

- Reference Sheet with simplifying square and cube roots (with and without variables)

- Answer Keys

Topics covered:

- Simplifying non perfect squares

- Simplifying non perfect squares with variables

- Simplifying non perfect cubes

- Simplifying non perfect cubes with variables

- Root operation

Check out my mystery worksheet sub plans that include scavenger hunts as well!

Follow my store for more engaging no prep sub plans being posted in the near future and leave a review you get TeachShare credit! :)

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These Emergency Sub Plans for High School Math are print and go and perfect for keeping your students engaged while you are out, having them feel that the work actually matters and has them refreshing important skills! They are all meant to complete without a calculator so no materials needed except 1 double - sided worksheet per student! You will get 5 worksheets which can be used all in the same week or spread out for random days out!

UPGRADE TO 10 DAYS OF ENGAGING SUB PLANS HERE! (for just $2 more!)

The upgrade includes 5 mystery worksheets and 5 scavenger hunt worksheets!

What you get:

- 5 mystery worksheets (12 questions per worksheet)

- Workspace page for each mystery worksheet

- Instructions for the substitute teacher

- Answer Keys

Topics covered:

- Solving Linear Equations (multi-step)

- Solving Linear Proportions (cross multiplication)

- Evaluating Expressions

- Distributing and Combining Like Terms

- Order of Operations

Follow my store for more engaging no prep sub plans being posted in the near future and leave a review you get TeachShare credit! :)

Thank you for being here!

These Emergency Sub Plans for High School Math are print and go and perfect for keeping your students engaged while you are out, having them feel that the work actually matters and has them refreshing important skills! They are all meant to complete without a calculator so no materials needed except 1 double - sided worksheet per student! You will get 5 worksheets which can be used all in the same week or spread out for random days out!

UPGRADE TO 10 DAYS OF ENGAGING SUB PLANS HERE! (for just $2 more!)

In the upgrade you get 5 scavenger hunts plus 5 mystery worksheets

What you get:

- 5 scavenger hunt worksheets (12 questions per worksheet)

- Workspace page for each scavenger hunt worksheet

- Instructions for the substitute teacher

- Answer Keys

Topics covered:

- Exponent Rules

- System of Equations

- Solving Linear Equations

- Evaluating Functions

- Finding Slope from Standard Form

Check out my mystery worksheet sub plans!

Follow my store for more engaging no prep sub plans being posted in the near future and leave a review you get TeachShare credit! :)

Thank you for being here!

This is a digital self-checking algebra activity that addresses identifying the vertex in a quadratic equation when given the equation in standard form.
Students find the vertex in sixteen different problems in order to reveal a digital image. The problems do not need to be solved in order, but all of them must be solved correctly in order to reveal the image.

This product is made for Google Sheets. You must have access to a Google account in order to have access.

Printable task cards are also included along with answer work pages and an answer key. It may even be advisable to have students submit written work so that they are not simply guessing and checking.

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Total Pages 13 pages
Answer Key Included
Teaching Duration 45 minutes

Students are alive and paying attention when any discussion on money is involved.

These tasks tie together many units into one - Arithmetic Sequences and Series, Geometric Sequences and Series as well as Compound Interest and Financial Math.

In these tasks, (with complete answer keys), students get to practice their skills on all Sequences and Series. They then discover that we can use the same formula that is used to calculate the sum of a geometric series for the future value of an annuity. It is here that the real-life application of this section of mathematics comes to life.

This skill is a life skill that shows the real-life application of the topic of sequences and series in the financial world.

Arithmetic Sequences, Arithmetic Series, Geometric Sequences, Geometric Series, Compound Interest, Future Value, Present Value, Annuities, Mortgage Repayments, Investments. 

This task covers all the important topics in arithmetic sequences and series. The task contains all needed formulas.

Recurring formula, Explicit formula, first term a, constant difference d, Term n in the sequence, the sum of n terms of an arithmetic sequence.

This task covers the topic of Geometric Sequences and Series and makes the very important real-life link to Financial mathematics, compound interest, investments, present value, future value, annuities, mortgage payments, the value of single payments (investments) over time, the value of recurring payments (investments) over time.

Arithmetic Sequences, Sum of Arithmetic Series, Geometric Sequences, Sum of Geometric Series, Sigma-notation, Investments, Compound Interest, Annuities, Future Value, Present Value, Recurring Formula, Explicit Formula, constant difference, constant ratio, first term, n-th term, sum of n terms.

If you enjoyed this resource, please leave a REVIEW at your leisure, for other possible buyers to know how you have experienced it. Thank you so much!

Please follow my store here to get notified of all new resources I create 

I love to improve my resources, so any constructive feedback from you will be extremely welcome. 

Enjoy this resource.

https://www.TeachShare.com/Store/Real-life-Mathematics

A very interesting piece of the Real-Life Math puzzle that is the ultimate activity!

Multiplication Tables, Factors, Products, Multiples, Divisibility, Telling Time, Integers, Distributive Property, Exponential Laws, Prime Numbers, Composite Numbers, Prime Factors, Place Value, Linear Equations, Divisors, Remainders, Integer Multiplication, Integer Division.

This bundle included EVERYTHING needed for RSA Encryption.

With this bundle, students will see that

1. They already know all the math needed for RSA Encryption (by about the end of 10th grade)

OR

2. The math needed for RSA Encryption is really very easy.

The skills listed above all form part of the RSA Cryptosystem. Students who are busy with these topics need to know (and be reminded by their teachers) that they are working with mathematics that has a very powerful, real-life application.

You might want to also look at the posters about the RSA Cryptosystem!

https://www.TeachShare.com/Product/Free-Class-Decor-RSA-Encryption-The-Middle-School-Math-that-builds-the-House-7109013

https://www.TeachShare.com/Product/Free-Back-to-school-Classroom-Decor-The-math-building-blocks-of-RSA-Encryption-6021103

https://www.TeachShare.com/Product/Free-Back-to-school-Classroom-Decor-This-Math-are-the-Gears-for-RSA-Encryption-6021086

If you enjoyed this resource, please leave a REVIEW at your leisure, for other possible buyers to know how you have experienced it. Thank you so much!

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I love to improve my resources, so any constructive feedback from you will be extremely welcome. 

Enjoy this resource.

https://www.TeachShare.com/Store/Real-life-Mathematics

No better exercise for children to do to cement all the Math they have learnt thus far! So, be sure to take advantage of this offer, as it could keep them busy for quite a while!

This Real-Life Math bundle contains 29 different tasks, (with complete keys), of where Middle School math gets applied in the real world. It will keep the children fascinated by how all they Math they learn is applicable to the Real World that we live in!

The work will keep your students very engaged since all of it has been tried, tested and refined in my daily classroom over many years. Demonstrate practically to students the answers to the following questions:

• Why do we have to learn this?
• Where is this ever used in real life?

This product can be used for

• groupwork

• discovery exercises

• assessment

• independent study

• a complete home-school Real-Life Math application curriculum for a middle school student.

• If you enjoyed this resource, please leave a REVIEW at your leisure, for other possible buyers to know how you have experienced it. Thank you so much!

• Please follow my store here to get notified of all new resources I create.

I love to improve my resources, so any constructive feedback from you will be extremely welcome. 

Enjoy this resource.

https://www.TeachShare.com/Store/Real-life-Mathematics

No better exercise for children to do to cement all the Math they have learnt thus far.

So make sure you take advantage of this incredible resource, as it could keep them busy for quite a while!

These tasks, (with complete keys) help teachers and their students see in a powerful way where and how the math they do gets applied in real life. A sample of the 35 products include:

• Division, prime numbers and Encryption
• Trig and building a lean-to roof.
• Geometric Sequences and Financial investments
• Slope and building the right stairs for old people.
• Statistics and making informed consumer choices.
• Line of best fit and predicting Track world records.
• Logs, Ln, e and Financial investments
• Linear Equations and Optimization (Linear Programming)
• Exponents and Encryption
• Pythagoras and design and gardening

If you enjoyed this resource, please leave a REVIEW at your leisure, for other possible buyers to know how you have experienced it. Thank you so much!

Please follow my store here to get notified of all new resources I create.

I love to improve my resources, so any constructive feedback from you will be extremely welcome. 

Enjoy this resource.

https://www.TeachShare.com/Store/Real-life-Mathematics