8th Grade Applied Math Handouts
Best Real-Life Math! RSA Encryption - All the math you need to encrypt data
By Daniel
Where do we use school mathematics in real life?
The following complete guide sets out ALL the mathematics we do in middle and early high school used in the RSA Public Key Cryptosystem.
RSA Encryption is one of the most modern and powerful methods of encryption and is used by computer scientists, big banks and websites who need to secure data.
Do not be surprised, the list is complete and no other, more complicated mathematics is ever used in RSA Encryption.
Topics done in grade school: Factors, Multiples, Products, Times Tables, Division, Remainders, Integers, Prime Numbers, Composite Numbers, Exponents, Rules for Divisibility etc.
Topics not specifically done in grade school but for which 7th-10th grade students possess ALL the mathematics knowledge: Modular Arithmetic, Successive Squaring, The Euclidean Algorithm, The Euler Phi Function, Euler's Formula, The Extended Euclidean Algorithm
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.
If you need the Tasks and Keys on All the Math needed for the RSA encryption, this is all of it, in A BUNDLE! Get it here:
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By Reece's Tech Shop by Scott Reece
The Sieve of Eratosthenes...you've been teaching it for years! Here's a new twist on the concept. Check out nicely the numbers fall into place when you use this format.
This PowerPoint includes:
-A ten slide presentation of the Sieve of Eratosthenese.
-Slide progression is already inserted into the PowerPoint. All you have to do is click!
-The last slide is a printable Student Handout that allows them to follow along with the presentation...definitions, Prime Numbers, and Composite Numbers.
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Real-Life Math fun activity with Ratios! - Which gas should we buy?
By Daniel
Which gas should I buy? Should I always buy the cheapest kind? Students use their knowledge of ratios and unit rates to make good, financially sound real-life choices.
The price of the different kinds of gas and the gas mileage each one gives you on your car has an influence on your choice.
The mathematical topics covered in this task include:
- Ratios
- Unit Rates
- Problem Solving
- Logical Thinking
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You may also not want to miss the following resources, now in Olympic Games time!
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Best Real-Life Math with Fractions! - Wrench Sizes and Tape Measure Readings
By Daniel
Fractions are tough, unexciting and abstract. This 6-page task (with complete key), makes them practical, easy and applicable to real life.
Students will practice the skills of
- equivalent fractions
- comparing fractions
- adding fractions
- adding mixed numbers
- getting common denominators
- using ratio to compare mm to inches.
The task can be used well for
- review in later grades
- group work
- an end of unit assessment
- work (problem) stations
- homework (with mom and dad in the work shed)
You may find this resource equally interesting, also on Fractions.
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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 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 and a part-time job! Hourly Wage and Total Income - y=mx+b
By Daniel
Perfect for an activity for children who wants to earn some pocket money at a part-time job!.
This printable resource includes a task with complete key. The focus is to make the straight line equation and its graph practical and applicable to a real life event - working for an hourly wage and getting paid a set amount per shift. Students get to graph equations with the table method, build the equation of a real-life example, solve simultaneous equations graphically and through the values in a table, and make some real-life choices about employment with their knowledge. Get them excited about the knowledge that they get to make their own decisions about who to work for, or what jobs they can choose to do!
This resource works great as ...
- an assessment exercise
- a task
- independent work
- distance learning
- math stations
- math centers
- homework
You may also like these resources on Finances!
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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! Introducing the Coordinate Plane, 18 activities with keys
By Daniel
18 exciting activities for children to discover the Real-Life application of Math!
This 8-page task, (with complete key), introduces the use of the coordinate plane from a real-life perspective. Students then transition from the depiction of a real-life situation to the theoretical exercise of plotting points on the coordinate plane and interpreting what they mean.
The task can be used as ...
- an introduction to the topic.
- groupwork at the start of the section
- an assessment at the end of the unit
- a formative assessment task to see if students grasp what the "dots on the paper" mean.
You may also like the following exciting resources on the Coordinate Plane!
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Real-Life Math fun activity! Volume of Prisms- Did I get cheated with Ice Cream?
By Daniel
This printable resource includes a task with complete key. Students will use their knowledge of the volume of a prism to do an investigation into fair marketing and sales practices. Lots of containers of consumer products have a "false bottom". Do the retailers cheat us with this or do we get the amount we pay for? Other math topics needed to do this resource successfully include area of circles, ratios and percents.
Nothing compares with ice-cream, and that is why your child will remember this activity for a long time! Did they get cheated with the amount of ice-cream? No better Real-Life Math application than this.
This resource works great as ...
- an assessment exercise
- a task
- independent work
- distance learning
- as a problem for a math station
- with math centers
- for homework
- constructive group work centered on problem-solving.
You may also like these resources also on Volume!
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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 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 activity! Markup and Discount- 10 tasks with complete keys
By Daniel
This is a super activity for children to learn how the Math works in Real-Life!
This resource (task with complete key) contains...
- lots of practice problems with solutions
- 10 real-life problems on % increase/decrease.
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 some other short Real-Life activities like this!
And Now with the Olympic Games!
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https://www.TeachShare.com/Store/Real-life-Mathematics
Students (and real people need to be able to do percentage problems quickly and efficiently as a life skill. The focus and aim of this resource is to achieve that goal.
If I weigh 210 lb and lose 15%, what do I now weigh?
If the price of an item of $80 goes up by 20%, what does it cost now?