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Week1

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IXL Φυλλα μαθηματικα στα αγγλικα

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IXL Φυλλα μαθηματικα στα αγγλικα

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Learn second grade math skills for free! Choose from hundreds of topics including addition, subtraction, place value, shapes, fractions, and more. Start now!

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Παπαδακης Ασκησεις για δημοτικό

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Παπαδακης Ασκησεις για δημοτικό

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παιδαγωγικο ινστιτουτο υλικο CD για δημοτικο

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παιδαγωγικο ινστιτουτο υλικο CD για δημοτικο

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ΠΑΙΔΑΓΩΓΙΚΟ ΙΝΣΤΙΤΟΥΤΟ

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Διάθεση των λογισμικών στην ιστοσελίδα http://ts.sch.gr/repo , κατάλληλα τροποποιημένων από τον Τομέα Εκπαιδευτικής Τεχνολογίας ΕΑΙΤΥ , ώστε να είναι δυνατή η εγκατάσταση και χρήση τους σε περιβάλλον Ubuntu/Debian.

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4 4

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Solution to the puzzle: A popular mathematical pastime: Use exactly four 4s to form every integer...

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sheets

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Property

Value

Description

Basic Subtraction on the Number Line: These simple subtraction worksheets introduce subtraction concepts using the number Line.

Resource Type

Worksheet

US Grade Level

1st Grade, 2nd Grade, 3rd Grade, 4th Grade, 5th Grade, 6th Grade

Age Range

6-12

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Property Value Description Basic Subtraction on the Number Line: These simple subtraction worksheets introduce subtraction concepts using the number Line. Resource Type Worksheet US Grade Level 1st Grade, 2nd Grade, 3rd Grade, 4th Grade, 5th Grade, 6th Grade Age Range 6-12

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A mathematician at Carnegie Mellon University has developed an easier way to solve quadratic equations.

The mathematician hopes this method will help students avoid memorizing obtuse formulas.

His secret is in generalizing two roots together instead of keeping them as separate values.

A mathematician has derived an easier way to solve quadratic equation problems, according to MIT's Technology Review. Quadratic equations are polynomials that include an x², and teachers use them to teach students to find two solutions at once.The new process, developed by Dr. Po-Shen Loh at Carnegie Mellon University, goes around traditional methods like completing the square and turns finding roots into a simpler thing involving fewer steps that are also more intuitive. Here's Dr. Loh's explainer video.

Quadratic equations fall into an interesting donut hole in education. Students learn them beginning in algebra or pre-algebra classes, but they're spoonfed examples that work out very easily and with whole integer solutions. The same thing happens with the Pythagorean theorem, where in school, most examples end up solving out to Pythagorean triples, the small set of integer values that work cleanly into the Pythagorean theorem.

Quadratic equations are polynomials, meaning strings of math terms. An expression like "x + 4" is a polynomial. They can have one or many variables in any combination, and the magnitude of them is decided by what power the variables are taken to. So x + 4 is an expression describing a straight line, but (x + 4)² is a curve. Since a line crosses just once through any particular latitude or longitude, its solution is just one value. If you have x², that means two root values, in a shape like a circle or arc that makes two crossings.

Dr. Loh's method, which he also shared in detail on his website, uses the idea of the two roots of every quadratic equation to make a simpler way to derive those roots. He realized he could describe the two roots of a quadratic equation this way: Combined, they average out to a certain value, then there's a value z that shows any additional unknown value. Instead of searching for two separate, different values, we're searching for two identical values to begin with. This simplifies the arithmetic part of multiplying the formula out.

Dr. Loh believes students can learn this method more intuitively, partly because there's not a special, separate formula required. If students can remember some simple generalizations about roots, they can decide where to go next. It's still complicated, but it's less complicated, especially if Dr. Loh is right that this will smooth students's understanding of how quadratic equations work and how they fit into math. Understanding them is key to the beginning ideas of precalculus, for example.

Outside of classroom-ready examples, the quadratic method isn't simple. Real examples and applications are messy, with ugly roots made of decimals or irrational numbers. As a student, it's hard to know you've found the right answer. Dr. Loh's new method is for real life, but he hopes it will also help students feel they understand the quadratic formula better at the same time. Many math students struggle to move across the gulf in understanding between simple classroom examples and applying ideas themselves, and Dr. Loh wants to build them a better bridge.

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Mathematician Finds Easier Way to Solve Quadratic Equations

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A mathematician at Carnegie Mellon University has developed an easier way to solve quadratic equations. The mathematician hopes this method will help students avoid memorizing obtuse formulas . His secret is in generalizing two roots together instead of keeping them as separate values.

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Skip To Content

Free Special Needs Teaching Resources Since 1999

Coins Machine Screenshots

The coins machine is a beat the clock addition game in which players must accumulate a target amount in coins.

The game is also useful for developing and practicing strategies around hundreds, tens and units as well as supporting other work on coin recognition and money skills.

Includes coins from USA, UK, Australia and the EU

Coins Machine

Updated: 2010

Developer: Simon Evans

Site: SEN Teacher

License: CC-BY-NC-SA

Control: Touch, Pointer, Keys

Filesize: 12MB

Downloads: 104924

Windows Download

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Coins Machine ⋆ Free Mathematics Software Download

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Skip To Content Free Special Needs Teaching Resources Since 1999 The coins machine is a beat the clock addition game in which players must accumulate a target amount in coins. The game is also useful for developing and practicing strategies around hundreds, tens and units as well as supporting other work on coin recognition and money skills.

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You are here: Home → Worksheets → European money
This generator makes maths worksheets for counting European coins and bills (euro). You can choose to include or not include the 1-cent coin, 2-cent coin, 5-cent coin, 10-cent coin, 20-cent coin, 50-cent coin, 1-euro coin, 2-euro coin, 5-euro bill, and the 10-euro bill. You can also limit the money value to less than €1 (the answers will be in cents), less than €2, less than €5, less than €10, or less than €50.

You can choose the number of problems on the worksheet and the maximum number of coins/bills included in the problems. Since the coin and bill images easily fill the page, the higher that maximum number is, the less problems will fit in the page. Please change the different options until you are happy with the final result.

Basic instructions for the worksheets

Each worksheet is randomly generated and thus unique. The answer key is automatically generated and is placed on the second page of the file.

You can generate the worksheets either in html or PDF format - both are easy to print. To get the PDF worksheet, simply push the button titled " Create PDF" or " Make PDF worksheet". To get the worksheet in html format, push the button " View in browser" or " Make html worksheet". This has the advantage that you can save the worksheet directly from your browser (choose File → Save) and then edit it in Word or other word processing program.

Sometimes the generated worksheet is not exactly what you want. Just try again! To get a different worksheet using the same options:

PDF format: come back to this page and push the button again.

Html format: simply refresh the worksheet page in your browser window.

Example worksheets

1-cent, 2-cent, 5-cent, and 10-cent coins, amounts less than €1

1-cent, 2-cent, 5-cent, and 10-cent coins, amounts less than €2

All the little coins - amounts less than €2

50-cent, €1, and €2 coins - amounts less than €10

All the coins - amounts less than €10

€1, €2 coins €5 and €10 bills

All the coins and the two bills

European Money Worksheets

A good book on problem solving with very varied word problems and strategies on how to solve problems. Includes chapters on: Sequences, Problem-solving, Money, Percents, Algebraic Thinking, Negative Numbers, Logic, Ratios, Probability, Measurements, Fractions, Division. Each chapter's questions are broken down into four levels: easy, somewhat challenging, challenging, and very challenging.

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Free European (euro) money worksheets - counting cents and euros

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You are here: Home → Worksheets → European moneyThis generator makes maths worksheets for counting European coins and bills (euro). You can choose to include or not include the 1-cent coin, 2-cent coin, 5-cent coin, 10-cent coin, 20-cent coin, 50-cent coin, 1-euro coin, 2-euro coin, 5-euro bill, and the 10-euro bill.

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Broken Calculators are one of the most versatile and delightful openers I know. The image itself communicates the heart of the puzzle, while leaving students open to all manner of different and personal approaches to reaching the goal.

Read the lesson below, and check out the images underneath. It's easy to make your own!

UPDATE - check out the beta version of our new Broken Calculator warmup website here.

This is a good early Broken Calculator to use.

More advanced versions might remove the "+" sign.

Even more difficult: remove the "+" and "-".

With a blank board, you can make your own broken calculators. You can even print out the image and cover the "broken" buttons with post-it notes.

Want more Broken Calculators? Check out:

Broken Calculators from the Julia Robinson Math Festival
New York Times Numberplay Broken Calculator Problem

You can also find another take on Broken Calculators in our lesson writeup here.

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Broken Calculators are one of the most versatile and delightful openers I know. The image itself communicates the heart of the puzzle, while leaving students open to all manner of different and personal approaches to reaching the goal. Read the lesson below, and check out the images underneath.

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Can you solve the killer robo-ants riddle? - Dan Finkel

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Cristiano Ronaldo - Get Up - Motivational Video 2017  | 1080p HD

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Την ευκαιρία να ανοίξουν το... μυαλό τους ακόμη περισσότερο, προκειμένου να δουν το δάσος και όχι μόνο το δέντρο, είχαν 5 μαθητές στη Νατσόνγκ της Κίνας, όταν ο δάσκαλός της τάξης τους έβαλε μία σπαζοκεφαλιά σε μορφή τεστ.

Συγκεκριμένα τους ρώτησε: «Πόσο χρονών είναι ο καπετάνιος ενός πλοίου, ο οποίος έχει 24 πρόβατα και 10 κατσίκες;», με μερικές από τις απαντήσεις να είναι καταπληκτικές.

Όπως για παράδειγμα αυτή που έλεγε: «Ο καπετάνιος είναι 36 ετών. Είναι πολύ νάρκισσος και για αυτό επέλεξε το συγκεκριμένο αριθμό, προκειμένου να αντικατοπτρίζει την ηλικία του», ενώ ένας άλλος μαθητής απάντησε: «Θα πρέπει να είναι τουλάχιστον 18 ετών, καθώς δεν επιτρέπεται σε ανήλικους να κουμαντάρει ένα πλοίο».

Ένας όμως έπιασε απολύτως το νόημα της ερώτησης, γράφοντας: «Δεν μπορούμε να είμαστε σίγουροι για την ηλικία του καπετάνιου. Το πόσα πρόβατα και πόσες κατσίκες έχει, δεν έχει καμία σχέση με το πόσο ετών είναι».

Αφού η συγκεκριμένη ερώτηση έγινε viral, πολλοί κατέκριναν τους υπεύθυνους του σχολείου για την περίεργη ερώτηση που έθεσαν στα παιδιά, λέγοντας πως ήταν παραπλανητική, όμως οι δάσκαλοι ξεκαθάρισαν πως έγινε, προκειμένου οι μαθητές να αποκτήσουν κρίση και να βλέπουν λίγο πιο μακριά...

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Learn Math Online for Advanced Elementary Students | Beast Academy

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Online math is just the ticket for advanced elementary-aged math students. Your learner will play their way through challenging games, practices, and puzzles.

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Πυθαγορειο Θεωρημα

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Πυθαγορειο Θεωρημα

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Part 1 with my new intro for this year is HERE.

Our finished right triangle pages looked like this...

I know that's kind of a crazy picture. I used my CamScanner app and sent it to a student that was in ISS so she could check her work before moving to the next activity.

If you don't have CamScanner I highly recommend it! I can scan and save as a high quality pdf right from my classroom - huge time saver!

Anyway... next we completed this little booklet.

It was all about the relationships between areas and side of the squares formed. Never once did my students plug into a formula while completing their book - I love this! The types of problems are from Christa Lemily here, I just made it into a little booklet for their INB. The students were all commenting about how easy it was and how much sense it made. When we completed our town map next, the students were breezing through. I had to show one example about how mathematicians organize their work because we hadn't been showing work before. But conceptually, they did great!

They completed the map with more ease than my students did last year, and these students are classified as "less advanced" than my students were last year. That, to me, says the intro and conceptual booklet worked!! YAY!

Next we calculated distance between points.

When you flip the flap down that says "Calculating Distance Between Two Points" it looks like this...

Yes, I know, the distance formula is not explicitly an 8th grade standard. But if I'm doing distance between points on a coordinate grid why wouldn't I mention it?! We talked about how they would see this formula later and it contains the same math as the Pythagorean Theorem. We color coded the same work in both methods so students could see the connections. Hopefully they'll remember this at least a little next year and go look it up. Fingers crossed!

So there it is, my week of Pythagorean Theorem and distance. Got any helpful critiques or suggestions?

Here are your files:

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Part 1 with my new intro for this year is HERE. Our finished right triangle pages looked like this... I know that's kind of a crazy picture. I used my CamScanner app and sent it to a student that was in ISS so she could check her work before moving to the next activity.

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My physical science students are currently working on determining the correct number of significant figures to use in different situations. The first step is for them to be able to recognize how many significant figures there are in a number. I made posters to hang up in my classroom for them (and me!) to reference, but I also wanted to create an activity to get them up and moving about. I decided this was the perfect topic to make into a speed dating activity.

You can find the files for my significant figures posters here.

To create cards for the speed dating activity, I typed up 20 numbers into a Publisher file.

I tried to include numbers written in scientific notation and numbers written in standard form. Then, I designed the file to print the correct number of significant figures on the back of the card when printed double sided .

And the backs of the cards:

And, I hope there weren't any mistakes on the cards because I was sort of in a rush to get them made. I thought I would have plenty of time to get them typed and printed before school started, but I didn't account for kids coming in to get help on making up their quizzes! So, if you do see an error, let me know so I can fix it!

The purpose of speed dating is to meet as many people in as short an amount of time as possible. In the few minutes you spend with the other person, you want to find something out about them and you want to trade information in case you decide to pursue things further in the future. At least that's what I've gathered from watching speed dating on tv and in movies. I never actually went speed dating myself...

Here's how speed dating works in my classroom:

Hand each kid a card. I hand them out with the question facing up. I instruct kids to figure out how many significant figures are in the number on their card and to check their answer with the back of the card.

Tell kids how speed dating works. When you tell them to get up, they should find a partner. Each partner should hold up their card for the other person to see. Each person should tell the other person how many significant figures they think they have. If correct, praise them. If incorrect, coach them. After both cards have been answered and discussed, the partners should trade cards. Then, they should go and find a new partner. This continues until the teacher calls stop. (Bonus points for stopping kids by ringing a bell like actual speed dating!)

Let them go! Your job as the teacher is to watch and observe the conversations. Look for the questions that students find tricky. Listen to how students are explaining the concept to each other.

Or, you might end up like me and have to participate yourself. My physical science class had an odd number of students the day we did this, so I got to play along, too! (This is also the reason why I don't have any pictures of my students in action.) You'll just have to settle for pics of the cards. :)

You can find the files for this significant figures speed dating activity here. The font is Wellfleet.

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Significant Figures Speed Dating Activity

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My physical science students are currently working on determining the correct number of significant figures to use in different situations. The first step is for them to be able to recognize how many significant figures there are in a number. I made posters to hang up in my classroom for them (and me!)

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Cross out two numbers so that every row and every column add up to a multiple of 5

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put one to 9 to add nine

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Donald in Mathmagic Land - Greek Subs (Μέρος 1 από 2)

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Στο τύπο της Χρυσής Τομής (μαθηματικός νόμος της ομορφιάς) που συναντάμε στη φύση, την τέχνη και τα παιχνίδια, με τον δικό του γλαφυρότατο τρόπο μας ξεναγεί ο Donald! released on June 26, 1959

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μαγικος αριθμος Φ

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μαγικος αριθμος Φ

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Χρυσός αριθμός φ & σπείρα Fibonacci στη φύση και τις τέχνες

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Μουσική: "Θάλασσα από ηλιοτρόπια" Ευανθία Ρεμπούτσικα Help us caption & translate this video! http://amara.org/v/G3dK/

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6 TED Talks for people who hated math in high school

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Math might have been dry and boring in high school, but it is actually AWESOME. If only it had been this fun when you were getting graded.