In this lesson we will look at an arithmetic sequence which is part of grade 12 patterns. An arithmetic sequence is a sequence which contains a constant difference between the terms.

Do you need more videos? I have a complete online course with way more content.Click here: https://purchase.kevinmathandscience.com/299course 🟢Follow me on Instagram: https://www.instagram.com/kevinmathscience

The entire field of mathematics summarised in a single map! This shows how pure mathematics and applied mathematics relate to each other and all of the sub-topics they are made from.

#mathematics #DomainOfScience

If you would like to buy a poster of this map, they are available here:
North America: https://store.dftba.com/produc....ts/map-of-mathematic
Everywhere else: http://www.redbubble.com/peopl....e/dominicwalliman/wo
French version: https://www.redbubble.com/peop....le/dominicwalliman/w
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I have also made a version available for educational use which you can find here: https://www.flickr.com/photos/....95869671@N08/3226448

To err is to human, and I human a lot. I always try my best to be as correct as possible, but unfortunately I make mistakes. This is the errata where I correct my silly mistakes. My goal is to one day do a video with no errors!

1. The number one is not a prime number. The definition of a prime number is a number can be divided evenly only by 1, or itself. And it must be a whole number GREATER than 1. (This last bit is the bit I forgot).

2. In the trigonometry section I drew cos(theta) = opposite / adjacent. This is the kind of thing you learn in high school and guess what. I got it wrong! Dummy. It should be cos(theta) = adjacent / hypotenuse.

3. My drawing of dice is slightly wrong. Most dice have their opposite sides adding up to 7, so when I drew 3 and 4 next to each other that is incorrect.

4. I said that the Gödel Incompleteness Theorems implied that mathematics is made up by humans, but that is wrong, just ignore that statement. I have learned more about it now, here is a good video explaining it: https://youtu.be/O4ndIDcDSGc

5. In the animation about imaginary numbers I drew the real axis as vertical and the imaginary axis as horizontal which is opposite to the conventional way it is done.

Thanks so much to my supporters on Patreon. I hope to make money from my videos one day, but I’m not there yet! If you enjoy my videos and would like to help me make more this is the best way and I appreciate it very much. https://www.patreon.com/domainofscience

Here are links to some of the sources I used in this video.

Links:
Summary of mathematics: https://en.wikipedia.org/wiki/Mathematics
Earliest human counting: http://mathtimeline.weebly.com..../early-human-countin
First use of zero: https://en.wikipedia.org/wiki/0#History http://www.livescience.com/278....53-who-invented-zero
First use of negative numbers: https://www.quora.com/Who-is-t....he-inventor-of-negat
Renaissance science: https://en.wikipedia.org/wiki/....History_of_science_i
History of complex numbers: http://rossroessler.tripod.com/ https://en.wikipedia.org/wiki/Mathematics
Proof that pi is irrational: https://www.quora.com/How-do-y....ou-prove-that-pi-is-
and https://en.wikipedia.org/wiki/....Proof_that_%CF%80_is

Also, if you enjoyed this video, you will probably like my science books, available in all good books shops around the work and is printed in 16 languages. Links are below or just search for Professor Astro Cat. They are fun children's books aimed at the age range 7-12. But they are also a hit with adults who want good explanations of science. The books have won awards and the app won a Webby.

Frontiers of Space: http://nobrow.net/shop/profess....or-astro-cats-fronti
Atomic Adventure: http://nobrow.net/shop/profess....or-astro-cats-atomic
Intergalactic Activity Book: http://nobrow.net/shop/profess....or-astro-cats-interg
Solar System App: http://www.minilabstudios.com/....apps/professor-astro

Find me on twitter, instagram, and my website:
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Prepare to have your mind blown as we dive into the fascinating world of mathematics, exploring lesser-known facts and concepts that you won't find in a typical classroom. In this video, we'll uncover intriguing topics like palindromic numbers, spherical geometry, hyperbolic geometry, the Tower of Hanoi, the Mandelbrot Set, the Birthday Paradox, and more!

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►BECOME A CHANNEL MEMBER
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#math #brithemathguy #maths

This video was partially created using Manim. To learn more about animating with Manim, check out:https://manim.community.

Disclaimer: This video is for entertainment purposes only and should not be considered academic. Though all information is provided in good faith, no warranty of any kind, expressed or implied, is made with regards to the accuracy, validity, reliability, consistency, adequacy, or completeness of this information. Viewers should always verify the information provided in this video by consulting other reliable sources.

GeoGebra Link to Game Boards: https://www.geogebra.org/m/NrnT3Nm7

Vi er stolte av å presentere GCAS, en nyutviklet nedlastbar guide til Geogebra!

GCAS inneholder alt pensumet knyttet til Geogebra som den norske skole bruker i sin undervisning. Dette betyr at programmet er like godt egnet for ungdomsskoleelever som for elever i den Videregående skole.

Det matematiske stoffet er delt inn slik at du enkelt finner fram til nettopp ditt fag. Med eksamensoppgaver, løsningsforslag og en fullstendig oversikt over kommandoer vil GCAS være den ultimate plattformen å bli kjent med Geogebra på. Det vil både være din beste venn på eksamen, og hjelpe deg til å forbedre mattekunnskapene dine gjennom hele året.

Besøk oss på https://gcas.no/ for mer informasjon!

Her er videoen for trekanter.
Jeg viser både hvordan man laver en retvinklet, ligesidet og ligebenet treknat med forskellige værktøjer.
Spol frem og tilbage for at finde det du skal bruge.

An introductory video on GeoGebra.
This video is for students who have never used an online math graphing/drawing before.

This video will demonstrate how to properly install GeoGebra Classic 6 on your Windows or Mac device using the new layout for the GeoGebra website

How to use GeoGebra to transform Shapes: Square Enlargement and Reflection
In this video tutorial, we will guide you through the process of using GeoGebra to transform shapes, specifically focusing on square enlargement and reflection. Whether you're a student studying geometry or a math teacher looking for a helpful tool to use in your classroom, GeoGebra is an excellent software to help you visualize and experiment with different transformations.

We will start with a brief introduction to GeoGebra, and then we'll dive into the specific steps you need to follow to transform shapes. We will show you how to use GeoGebra to enlarge a square by a given scale factor and how to reflect a square across a line of reflection.

You don't need any prior experience with GeoGebra or transformational geometry to follow along with this tutorial. We will take you through each step, so you can easily follow along and understand the process.

By the end of this tutorial, you will have a good understanding of how to use GeoGebra to transform shapes, specifically focusing on square enlargement and reflection. We hope you find this tutorial helpful and informative, and we look forward to helping you enhance your geometry skills!

Videoen er inddelt i flere afsnit. Spol frem og tilbage for at se hvordan man laver forskellige firkanter i Geogebra.
Kvadrat, rektangel og parallelogram

Besök gärna https://vidma.se för att se kursens genomgångar och videolösningar till nationella prov. Jag tror att du kommer gilla det.
Om du tycker att den här filmen var bra, klicka gärna gilla och skriv en kommentar, då kommer den synas för fler! :)

Ha det bäst och GO STRONG! /Jonas

Fitting a polynomial to a list of point.

Instructional guide to download and install Geogebra

Hvordan finder du arealet og omkredsen, når du arbejder med Geogebra.

New demo video of a Geogebra simulation made to illustrate the physics of a basketball shot.
The file is available at Geogebra repository of materials https://www.geogebra.org/m/jM3YvFaw

Geogebra is a free math program (www.geogebra.org).
More Geogebra materials are available at www.lucamoroni.it
The music background is the song "Frame by frame" by King Crimson.