9th Grade Applied Math Printables

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Real Math fun activity! RSA Encryption- Division Remainders Modular Arithmetic +

By Daniel

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!

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

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.

Math
Algebra
Applied Math
$3.00
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The Rules of Circle Theorems | Free Posters featuring ALL 8 Theorems

By LittleStreams

These are completely FREE posters on The Rules of Circle Theorems. It is a continuation of our Free Poster on The Circle which can be found here These two posters, which come in one document, show all 8 theorems that are important for students to learn. The PDF contains both US and UK Versions of the posters. This is due to the different spelling of the word 'centre/center'. If you like this product, you may like our Card Game Bundle 3, which includes card games on Angles and Triangle Construction. Click here for more information. If you have any comments or suggestions, and to stay updated please follow us or take a look at our Facebook Page Please click here to visit our website for more information about LittleStreams

Applied Math
Geometry
Measurement
Free
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Geography & Maths - Teaching Grid Coordinates with a Game with lesson plan

By Yugen Learning

Ahoy, educators! Dive into the world of coordinates with our engaging no prep Battleship Coordinates Game for you or an emergency sub lesson for your Geography and Maths programs.. Designed meticulously with students in mind, especially those who find coordinates challenging, this game offers a hands-on, interactive approach to mastering the X and Y axis f

Master Coordinates with the Battleship Game: A Fun & Engaging Learning Tool!

Resources:

  • Lesson plan to help your implement
  • Complete single A4 page with instructions and supporting information for all students (Simply duplicate and distribute)

Why Choose the Battleship Coordinates Game?

  • Engaging Learning: Transform the daunting task of understanding coordinates into an exciting naval adventure!
  • Tailored for Strugglers: Specifically crafted for students who find coordinates tricky, serving as an excellent introduction.
  • Aligned with Standards: Our game is in sync with Common Core outcomes, ensuring your students are on track with curriculum standards.
  • Dual Learning: While students immerse in strategic gameplay, they're simultaneously reinforcing their understanding of basic coordinates.

Common Core Outcomes:

  • CCSS.Math.Content.5.G.A.1: Use a pair of perpendicular number lines, called axes, to define a coordinate system.
  • CCSS.Math.Content.5.G.A.2: Represent real-world and mathematical problems by graphing points in the first quadrant of the coordinate plane.

Australian curriculum links: for teaching coordinates in geography and mathematics:

  • ACGSE037: Use maps, globes, and other spatial representations to locate places and features.
  • ACGSE043: Analyze the spatial distribution of people, places, and things.
  • ACGSE051: Understand the impact of human activities on the environment.
  • ACMNA066: Understand the concepts of coordinate geometry, including the Cartesian coordinate system.
  • ACMNA067: Be able to plot points and lines in the Cartesian coordinate system.
  • ACMNA068: Use coordinate geometry to solve problems.
  • ACMNA069: Understand the relationship between coordinate geometry and other areas of mathematics, such as geometry and algebra.

Bring coordinates to life in your classroom and watch as your students navigate their way to success. Set sail into the world of interactive learning today!

Grab Your Battleship Coordinates Game Now!

Enjoy this resource! Don't forget to follow my store for more awesome products and rate this product for your TeachShare credits :)

People that have purchased this resource have also purchased -

Geography | What Causes Hunger lesson activity

Geography | Analysing and Interpreting Population Pyramids

Geography | Geographical Scavenger Hunt

Geography | Hemispheres, Continents and Lines of Latitude Worksheet

Please leave a review.

Applied Math
Geography
Critical Thinking
$5.00
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Mathematics Proficiency BUNDLE

By Visual Vibe

Everything you need to incorporate the Mathematics Proficiencies into your classroom. Increase your students abilities to learn and work mathematically.

What's Included:

  • Maths Proficiency Posters - Fluency, Understanding, Problem Solving and Reasoning
  • Mathematics Proficiency Introduction - 12 Proficiency skills, 12 example questions and answers
  • Maths Proficiency Verb Posters
  • Concrete, Pictorial, Abstract Approach Posters
$12.00
$10.90
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Real-Life Fun Math activity! 9 tasks on Mathematics of the RSA Cryptosystem

By Daniel

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!

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

$27.00
$17.00
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The Circle | Free Poster on Circle Geometry

By LittleStreams

This is a completely FREE poster on Circle Geometry. It is like a glossary of terms that learners will need to know. We also offer two free posters on The Rules of Circle Theorems which can be found here The PDF contains both US and UK Versions of the poster. This is due to the different spelling of the word 'centre/center'. Why not check out our companion Triangle and Quadrilateral posters as well! If you like this product, you may like our Card Game Bundle 3, which includes card games on Angles and Triangle Construction. Click here for more information. If you have any comments or suggestions, and to stay updated please follow us or take a look at our Facebook Page Please click here to visit our website for more information about LittleStreams

Applied Math
Geometry
Measurement
Free
Product
Product

Geography & Maths - Teaching Grid Coordinates with a Game with lesson plan

By Yugen Learning

Ahoy, educators! Dive into the world of coordinates with our engaging no prep Battleship Coordinates Game for you or an emergency sub lesson for your Geography and Maths programs.. Designed meticulously with students in mind, especially those who find coordinates challenging, this game offers a hands-on, interactive approach to mastering the X and Y axis f

Master Coordinates with the Battleship Game: A Fun & Engaging Learning Tool!

Resources:

  • Lesson plan to help your implement
  • Complete single A4 page with instructions and supporting information for all students (Simply duplicate and distribute)

Why Choose the Battleship Coordinates Game?

  • Engaging Learning: Transform the daunting task of understanding coordinates into an exciting naval adventure!
  • Tailored for Strugglers: Specifically crafted for students who find coordinates tricky, serving as an excellent introduction.
  • Aligned with Standards: Our game is in sync with Common Core outcomes, ensuring your students are on track with curriculum standards.
  • Dual Learning: While students immerse in strategic gameplay, they're simultaneously reinforcing their understanding of basic coordinates.

Common Core Outcomes:

  • CCSS.Math.Content.5.G.A.1: Use a pair of perpendicular number lines, called axes, to define a coordinate system.
  • CCSS.Math.Content.5.G.A.2: Represent real-world and mathematical problems by graphing points in the first quadrant of the coordinate plane.

Australian curriculum links: for teaching coordinates in geography and mathematics:

  • ACGSE037: Use maps, globes, and other spatial representations to locate places and features.
  • ACGSE043: Analyze the spatial distribution of people, places, and things.
  • ACGSE051: Understand the impact of human activities on the environment.
  • ACMNA066: Understand the concepts of coordinate geometry, including the Cartesian coordinate system.
  • ACMNA067: Be able to plot points and lines in the Cartesian coordinate system.
  • ACMNA068: Use coordinate geometry to solve problems.
  • ACMNA069: Understand the relationship between coordinate geometry and other areas of mathematics, such as geometry and algebra.

Bring coordinates to life in your classroom and watch as your students navigate their way to success. Set sail into the world of interactive learning today!

Grab Your Battleship Coordinates Game Now!

Enjoy this resource! Don't forget to follow my store for more awesome products and rate this product for your TeachShare credits :)

People that have purchased this resource have also purchased -

Geography | What Causes Hunger lesson activity

Geography | Analysing and Interpreting Population Pyramids

Geography | Geographical Scavenger Hunt

Geography | Hemispheres, Continents and Lines of Latitude Worksheet

Please leave a review.

Applied Math
Geography
Critical Thinking
$5.00
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Concrete, Pictorial, Abstract Approach

By Visual Vibe

The Concrete, Pictorial, Abstract Approach is an effective teaching approach that helps to develop a deep and sustainable understanding of mathematics in students.

When integrated into your classroom it helps to build on your students existing understanding and making complex mathematical concepts accessible to all.

Concrete: refers to the 'doing' stage. Where students manipulate concrete materials to solve problems. This is the first stage of the approach or framework.

Pictorial: refers to the 'seeing' stage. Where students create visual presentations of the concrete objects that they have just used to model the problem. This allows students to make connections between the objects they have just used and the abstract pictures they have drawn.

Abstract: refers to the 'symbolic' stage. Where students use numbers and symbols to model a problem. This is the final stage to mastering a concept. Students will not move onto this stage if they do not have a solid understanding of the concrete and pictorial representations.

It is also important to go back and forth, continually practicing each stage to reinforce mathematical concepts.

Math
Applied Math
Free
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Real-Life Math fun activity! Systems of Linear Equations - 5 activities and keys

By Daniel

This Systems of Linear Equations resource (tasks with complete key) addresses FIVE real-life problems and their optimal solutions.

  • Feeding patients in a hospital
  • Renting vehicles at maximum profit
  • Feeding rats in an experiment
  • Taking optimal passengers on a cruise boat
  • Selling eggs at the farmers' market for the most profit.

This work, also called linear programming, demonstrates how practical and applicable the algebra of systems of equations is in real life.

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 may also want to include these resources on Linear equations!

https://www.TeachShare.com/Product/Back-to-school-fun-Systems-of-Linear-Equations-Algebra-Matrices-Graphing-7373327

https://www.TeachShare.com/Product/Back-to-school-fun-Substitution-Ordered-Pairs-Linear-Equations-Coordinates-7358411

AND... OF UTMOST IMPORTANCE!!

https://www.TeachShare.com/Product/Back-to-school-Linear-Equations-16-Skills-Alg-2PreCalc-students-should-have-7231230

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

Algebra
Algebra 2
Applied Math
$9.00
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Real-Life Math activity! Trigonometry-Building a Ladder for my Suspended Bed

By Daniel

This is the perfect example of Real-Life Math and its application to the Real world.

This printable resource shows students the real-life trigonometry needed to do some basic carpentry - getting the angles right when building a ladder for a suspended bed. The contents include the trig ratios sine, cosine and tangent and the Theorem of Pythagoras.

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 may also like the following resources on Trigonometry!

https://www.TeachShare.com/Product/Back-to-school-Fun-Real-Life-Trigonometry-Project-Building-a-Lean-To-onto-a-Shed-7000325

https://www.TeachShare.com/Product/Back-to-school-fun-exercise-Trigonometric-Ratios-and-Applying-it-to-Real-Life-6822459

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

Applied Math
Trigonometry
$3.00
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Real-Life Math fun activity! RSA Encryption GCD Divisors Factors Multiples, etc

By Daniel

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

Divisors, Factors, Common Factors and determining the GCD (GCF) between 2 numbers are the bread and butter of any middle school math syllabus. The Euclidean Algorithm is an exciting way to determine the GCD and it paves the way to knowledge needed for the RSA Public Key Cryptosystem.

This product includes a FREE classroom poster, a FREE Google Form quiz (and a FREE PDF-version of the quiz) and a FREE key to the task.

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

Factors

Common Factors

Determining the GCD

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.

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!

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

Math
Algebra
Applied Math
$3.00
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Real-Life Math Fun! RSA Encryption Modular Arithmetic Euler's Form Decrypt Data

By Daniel

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

To decrypt encrypted data is a 5-step process. The 5 steps involve basic algebra skills students pick up since middle school.
This task, (especially the key,) meticulously takes students through the 5 steps. When students can decrypt data, they will become much more inventive to make even stronger encryptions and they will avoid common pitfalls.

This product includes 3 FREE classroom posters that will show students how their mathematics fits into the bigger picture of RSA Encryption.

You might also want to look at the Bundle of all the Math of 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!

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

Math
Algebra
Applied Math
$3.00
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Real-Life Math fun! RSA Encryption Powers of 2 Exponential Laws Successive Squar

By Daniel

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

The sequence of powers of 2 is called successive squaring. The fact that every next power of 2 in the previous power of 2 squared is a very powerful tool to handle huge numbers easily.

This product includes a FREE classroom poster, a FREE Google Form quiz (and a FREE PDF-version of the quiz) and a FREE key to the task.

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

The powers of 2

Successive Squaring

Modular Arithmetic

Calculating the congruences of large powers with only a basic calculator (this is a very exciting skill for students)

Successive Squaring 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.

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!

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

Math
Algebra
Applied Math
$3.00
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Real-Math fun! RSA Encryption Exponential Laws Powers of 2 Expansion of Integers

By Daniel

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

Exponents, Exponential Laws, Powers of 2, Expressing an integer as the sum of the powers of 2 - also called the binary expansion of the integer.

This product includes a FREE classroom poster, a FREE Google Form quiz (and a FREE PDF-version of the quiz) and a FREE key to the task.

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

The powers of 2

Expressing integers as the sum of powers of 2

Expressing integers in their binary expansion 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.

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!

Follow my store here for other great resources on Real-Life math.

I love to improve my resources, so please give me constructive feedback on each product.

You can find all the RSA Encryption worksheets here.

Math
Algebra
Applied Math
$3.00
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Real-Life Math Fun activity!Compound Interest, Financial Real-Life Math task+Key

By Daniel

Talk about money, and all children are interested! That is why this practical Real-Life Math exercise is perfect always, as it shows them the real-World connection, but is also fun to do!

This task hones a student's skills to solve the four variables in the compound interest formula - Principle, Amount, Interest Rate and Period of Investment.

We also look at Exponential graphs, Logs (Logarithms) and how it is used in real-life in Financial Mathematics.

In order to do financial mathematics, calculate interest rates, future value of investments, etc. students need to be able to do exponents and logs.

Solving equations, changing the subject of the formula, literal equations.

Amount, principle, interest rate, simple interest, compound interest, interest compounded yearly, interest compounded monthly, interest compounded daily. 

You might also not want to miss out on these resources on Financial Math!

https://www.TeachShare.com/Product/Back-to-school-fun-Geometric-Series-Compound-Interest-Financial-Maths-I-6776716

https://www.TeachShare.com/Product/Back-to-school-fun-activityCompound-Interest-Formula-Solving-all-Four-Variables-6712996

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

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

Math
Applied Math
Word Problems
$4.00
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Real-Life Fun Math activity! Comp Interest, Exponents and Logs Bundle+keys

By Daniel

Talk about money, and all children are interested! That is why this practical Real-Life Math exercise is perfect always, as it shows them the real-World connection.

The compound interest formula contains four variables. This bundle helps students to solve all four - Amount, Principle, Interest Rate and Time Period. To solve for the time period, students will see the need and practical use for Logs. In these tasks, we look at exponents, logarithms and its real-life practical application called financial mathematics.

Solving equations, changing the subject of the formula, literal equations.

Amount, principle, interest rate, simple interest, compound interest, interest compounded yearly, interest compounded monthly, interest compounded daily. These tasks starts introducing mortgage payments and annuities that will lead into Sequences and Series.

You might then not want to miss this bundle on Sequences and series, and Compound Interest!

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

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

$10.00
$5.00
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35 Real-Life Math Applications for Algebra 1 Algebra 2 Pre-Calculus, tasks, keys

By Daniel

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

$108.50
$53.00
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29 Real-Life Math Applications for Middle School Mathematics, activities+keys

By Daniel

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

$101.50
$49.00
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Real-Life Math fun! RSA Encryption Prime Numbers Co-prime Integer, Euler Phi

By Daniel

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

Multiplication Tables, Prime and Composite Integers, Coprime Pairs of Integers

The Euler Phi Function asks easy questions like: "Does 3 and 10 have a common factor larger than 1?" 3 and 10 are called coprime (or relatively prime).

This product includes a FREE classroom poster, a FREE Google Form quiz (and a FREE PDF-version of the quiz) and a FREE key to the task.

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

Prime Numbers

Determining if two integers are coprime

The Euler Phi-Function

Euler's Formula

The Euler Phi-Function forms an integral part of the RSA 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.

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!

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

Math
Algebra
Applied Math
$3.00
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Real-Life Math fun!RSA Encryption Distributiv Property Exten Euclidean Algorithm

By Daniel

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

The Distributive Property and Multiplying Positive and Negative Integers and Variable Expressions are part and parcel of any Pre-Algebra course. These skills are very important when doing the Extended Euclidean Algorithm - if you make sign mistakes, you will be frustrated and you will have to do things over. The value of carefully writing out your mathematics is really illustrated with the Extended Euclidean Algorithm.

This product includes a FREE classroom poster, a FREE Google Form quiz (and a FREE PDF-version of the quiz) and a FREE key to the task.

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

Determining the GCD and expressing this GCD as a linear combination of the two integers.

Doing the distributive property over and over until you are very fluent with it.

Multiplying positive and negative integers faultlessly.

The extended Euclidean Algorithm 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.

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!

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

Math
Algebra
Applied Math
$3.00