35 Real-Life Math Applications for Algebra 1 Algebra 2 Pre-Calculus, tasks, keys
by DanielNo 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
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Free Real-Life Math Classroom Decor! This Math are the Gears for RSA Encryption
By Daniel
A FREE classroom poster, which will make your Classroom decoration project a little easier!
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.
These skills all form 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.
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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!
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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.
Real-Life Math Fun practice/resource! Slope - A Student activity on Gradient.
By Daniel
It is always a good strategy to review essential skills with your students, and this is right up there with the most essential!
Slope (Gradient) is a very practical real-life experience for all of us - we climb stairs daily and walk up and down very steep and less steep inclines. In this practical, outside activity, students encounter slope first hand and then make sense of the mathematics behind it. Students are then encouraged to think about the real-life applications and implications that slope has in the life of people like the elderly and the handicapped.
Linear equations, slope, rise over run, gradient, y=mx+b.
You might also enjoy these 2 resources on slope as well!
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Real-Life Math Fun Data, Statistics Collection Activity- make Real-Life Choices!
By Daniel
This classroom tried and tested data and statistics activity helps students to see the benefit of gathering their own quantitative and qualitative data to make real-life choices. We have all wondered - which water container should I buy? Are the expensive water containers really that much better? Students compare 4 water containers quantitatively for how effectively they keep water warm and cold. They also compare them qualitatively, looking at price, durability, design and other subjective measures.
This resource works great as ...
- a task
- a class project (it takes roughly a week)
- distance learning
- math centers
- constructive group work when introducing the topic of data and statistics.
And, Now with the Olympic Games just gone by, you must get these other activities for Data and Stats as well!
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Real-Life Math fun! Geometric Series, Compound Interest and Financial Maths II
By Daniel
With this fun activity, students learn valuable real-Life Math lessons.
In this task, (with answer key), students invest $50 at the start of every month and then calculate the value of each $50 at the end of that year. The future value of an annuity like this $50 monthly investment is the real-life application of the sum of a geometric series.
Recurring investments (annuities) is a geometric series. The formula for the sum of a geometric series is therefore also the formula for the future value of an annuity. When students realize this, they never need to try to memorize two formulas. They also make the connection between the 2 sections of mathematics and realize that it is fact the same mathematics.
Arithmetic Sequences, Arithmetic Series, Geometric Sequences, Geometric Series, Compound Interest, Future Value, Present Value, Annuities, Sum of an Arithmetic Series, Sum of a Geometric Series.
You also might not want to miss out on these resources on Financial matters!
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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!
AND... OF UTMOST IMPORTANCE!!
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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!
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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!
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.
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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!
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Real-Life Math fun activity! Theorem of Pythagoras- Design and Build a Flowerbed
By Daniel
This printable resource includes a task with complete key, on the practical real-life application of the Theorem of Pythagoras. The resource will be best used after a thorough introduction of the theorem and some practice with the theorem. Students will determine the lengths of each piece of wood needed in this practical building project as well as the cost involved of such a project.
This resource works great as ...
- an assessment exercise
- a task
- independent work
- distance learning
- math stations
- math centers
- homework
- Wonderful how applicable and Real Math becomes to children, once they realise that the skill of Math will help them with all kinds of fun tasks!
You may also like the following resources on the Theorem of Pythagoras!
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Real-Life Math fun! Systems of Linear Equations Algebra Matrices Graphing
By Daniel
A real-Life Math activity that children can do to practice Linear equations.
This resource (task with complete key) practices student's skills to solve a system of linear equations in at least the following three ways:
- With Algebra - elimination or substitution
- With Matrix Algebra
- With the graphs of each linear equation
The task gives four comprehensive problems that must be solved (or verified) with all three methods.
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.
And, you can also get these resources also on Linear equations!
This is the most important one!
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I love to improve my resources, so any constructive feedback from you will be extremely welcome.
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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!
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.
Real-Life Math Fun activity! - The Application of 14 Rules of Thumb
By Daniel
This printable resource is a task with a complete key on rules of thumb. Some are very well known, and others not. Mathematics has a lot of practical, real-life applications and rules of thumbs are such very practical applications.
This resource works great as ...
- an assessment exercise at the end of a section on linear equations.
- a task to answer a student question about where math is used in real life.
- independent work for curious students.
- distance learning
- math stations
- math centers
- homework
Some more fun Resources you may also like!
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I love to improve my resources, so any constructive feedback from you will be extremely welcome.
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Real-Life Math, Data, stats,Line of Best Fit, Study 4 Track, Field World Records
By Daniel
The Olympic Games is over, but, this activity will fit in perfectly to show children the Real-Life Mathematics application of data.
This product involves the real-life application of the mathematics of data, statistics, linear equations and substitution. It can be used as a(n) ...
- task for practice
- real-life practical application of linear equations
- assessment exercise
- challenging group work exercise to introduce data, statistics and lines of best fit
Students get to obtain the line of best fit for 4 different world records. They use these lines to make predictions of when these records will reach certain milestones. They also make exciting predictions of what the record for these events will be in the year 2050.
Also make sure that you include these next 2 products, as they also relate to the Games!
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.
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!
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.
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You can find all the RSA Encryption worksheets here.
Real-Life Math fun activity!Compound Interest Formula-Solving all Four Variables
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!
The compound interest formula contains four variables. This task, (with complete key), 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 real-life use for 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!
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.
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!
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.
Real-Life Math Fun! Sequences and Series: Geometric Series, Daily Comp Interest
By Daniel
Talk about money and all children listen! That is why this activity is an absolute must, as it will show them the real-Life connection to Money.
Where mathematics meets the real world. This task card ties together two units into one - Geometric Series and the real-life application of Daily Compound Interest. In this task card, students experience how investing into an annuity is the same as a geometric series. They see 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.
This skill is a life long skill that shows the real-life application of the topic of sequences and series in the financial world. Students can also apply this knowledge to make calculations on mortgage and car payments.
Arithmetic Sequences, Arithmetic Series, Geometric Sequences, Geometric Series, Compound Interest, Future Value, Present Value, Annuities, Mortgage Repayments, Investments.
You might want to take a look at this Compound Interest and Geometric Series Bundle!
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Real-Life Math fun activity/resource! Geometric Sequences and Series task + Key
By Daniel
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!
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I love to improve my resources, so any constructive feedback from you will be extremely welcome.
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Real-Life Math fun! Geometric Series, Compound Interest, Financial Maths I
By Daniel
This practical Real-Life Math exercise is perfect, as it shows students the real-World connection!
This fill-in tasks lets students calculate the future value of a $100 investment at the start of every month for one year. The future value of such an annuity of $100 is the real-life application of the sum of a geometric series. Compound Interest is the Real-Life application of Geometric Series.
Recurring investments (annuities) is a geometric series. The formula for the sum of a geometric series is therefore also the formula for the future value of an annuity. When students realize this, they never need to try to memorize two formulas. They also make the connection between the 2 sections of mathematics and realize that it is fact the same mathematics.
Arithmetic Sequences, Arithmetic Series, Geometric Sequences, Geometric Series, Compound Interest, Future Value, Present Value, Annuities, Sum of an Arithmetic Series, Sum of a Geometric Series.
You might also not like to miss these two resources on Financial Math!
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.