CIE Maths Videos

Fast Multiplication by 11 (Part 2) | Multiplication by 11 tricks

2021-12-31T01:36:00.003-08:00

This math #shorts will show you how to multiply any 2 digit number by 11 in just 3 seconds. This process of multiplying by 11 can be applied to any number of digits, even the large numbers. Multiply any 2 digit number by 11 fast! This is a #shorts video showing the quickest method of multiplying any number by 11. In this video the focus is multiplying any 2 digit numbers by 11. The process is an extension of the [Part 1] where the the numbers multiplied by 11 is a 2 digit number. Arrows are used to guide you in the process of multiplying the 2 digit numbers by 11 the fastest way, in just a few seconds! You don't need to do anymore the traditional and manual multiplying of two digit number by 11. You just need to practice using this shortcut method of multiplying a two digit number by 11. CHALLENGE: Pick any 2 digit number, then try to multiply it by 11. Use this shortcut method in multiplying any two (2) digit number by 11. You can do it fast! 🎬NOTE: For a better viewing experience, please set the video in HD (1080p) mode. Check out other math videos: 🎥 Divisibility by 2: https://bit.ly/3pz0cYx 🎥 Divisibility by 3: https://bit.ly/3iRA4H0 🎥 Divisibility by 4: https://bit.ly/3gQD7wm 🎥 Divisibility by 5: https://bit.ly/3wqJlsB 🎥 Divisibility by 6: https://bit.ly/3eb6tF6 🎥 Divisibility by 7: https://bit.ly/3zpb9iS 🎥 Divisibility by 8: https://bit.ly/3f3Wn9P 🎥 Divisibility by 9: https://bit.ly/2TPnrCe 🎥 Divisibility by 10: https://bit.ly/3jMOsPp 🎥 Divisibility by 11: https://bit.ly/2VRn22I 🎥 Divisibility by 12: https://bit.ly/3sisisd 🎥 Multiplying 2 digit numbers by 11 [Part 1]: https://bit.ly/3yY5vFe 🎥 Multiplying 3 digit numbers by 11 [Part 3]: https://bit.ly/3ibNzRj 🎥 9 Dots Puzzle: https://bit.ly/3fKosmY ▶️PLAYLIST Math Shorts: https://bit.ly/3fIC6qP ▶️PLAYLIST Sequences and Series: https://bit.ly/34CZyj5 ▶️PLAYLIST Math Tutorial Videos: https://bit.ly/3wKCwme ▶️PLAYLIST Videos on Math Proofs & Derivations: https://bit.ly/3vJXJwC ---------------------------------------------------------------------------------- 🔎About CIE Math Solutions: CIE MATH SOLUTIONS is a free online math resource for mathematics students, teachers, and parents. Video math tutorials cover topics ranging from primary to high school math contents. They are designed to help fellow educators find additional references for their lesson preparation, to help students learn math independently online, and to help parents in guiding their children with their homework. Topics are aligned with the Cambridge and IB Curriculum contents. Math concepts and lessons are presented with clear explanations and detailed examples. Some videos present comprehensive proofs and/or derivations to famous mathematics formulas and equations. Some may be presented in different ways. Some videos presents the detailed explanation and solutions of various math competition/olympiad items, math puzzles and some fun math games. Other videos include math tricks and shortcuts. CIE Math Solutions is a free online math resource for all! #ciemathsolutions #multiplyby11 #fastmultiplication #multiplicationtricks #mathchannel #mathresources #mathteacher #maths #mathisfun #mathskills ---------------------------------------------------------------------------------- Be part of the CIE Math Family and enjoy exclusive perks for you! Join now! ➡️ https://bit.ly/2SQP2Cd Show your support to CIE Math Solutions! I will appreciate if you buy me a coffee. Thank you! ➡️https://bit.ly/3cdbSun ---------------------------------------------------------------------------------- Please SUBSCRIBE, LIKE and COMMENT below. SUBSCRIBE to CIE Math Solutions channel for more Math Videos: 👉https://bit.ly/2S1Uems CIE Math Solutions on Social Media ✅FOLLOW US ON TWITTER: https://twitter.com/ciemathsolution ✅FOLLOW US ON INSTAGRAM: https://www.instagram.com/ciemathsolu... ✅LIKE US ON FACEBOOK: https://www.facebook.com/ciemathsolution ✅FOLLOW US ON TUMBLR: https://ciemathsolution.tumblr.com 📝MY BLOG: https://ciemathsolutions.blogspot.com 💬For INQUIRIES, CONTACT ME at ciemathsolutions@gmail.com

Past Paper Items on Probability (Part 2) | Revisions in AS/A Level Mathematics | Probability and Statistics 1 (9709)

2021-12-30T23:12:00.003-08:00

This video is the second collection of Cambridge AS/A Level Probability & Statistics 1 (9709) past paper items on probability. The collection contains items about sample space, dependent events, independent event, and mutually exclusive events. Some of the items also includes the probability tree diagram. If you would like to download a copy of the collection of AS/A level past paper items on probability (Part 2), you may go the following link: https://bit.ly/3171jH0 You may also like to practice using the first set of past paper items on probability (Part 1) using the following link: https://bit.ly/3ctLf4n This is usually taught in class 10 (grade 10 maths) or class 11 (grade 11 maths). The answers for the items given in the video can also be found on the link above. I would recommend you to answer the items on probability first by your own, then check on the answer key afterwards. In this way, you can check which items about probability you need to study more. It may give you the idea to study more on drawing the probability tree diagram first or identifying the dependent and independent events or recall back mutually exclusive events. 🕘Video Sections🕘 0:00 Intro 0:08 Item 1 (independent and mutually exclusive events) 0:14 Item 2 (independent events and mutually exclusive events) 0:21 Item 3 (tree diagram, dependent events and conditional probability) 0:27 Item 4 (tree diagram and conditional probability) 0:32 Item 5 (tree diagram, independent events and conditional probability) 0:41 Item 6 (fair dice, listing methods and basic probability) 0:47 Item 7 (drawing tree diagram, basic probability and conditional probability) 0:53 Item 8 (tree diagram, independent probability and conditional probability) 1:00 Item 9 (fair five-sided spinner and two fair dice, combined events, conditional probability) 1:06 Item 10 (complex events; multiple scenarios; at least 2 friends choose entrance) 1:23 CIE Math Solutions contents 🎬NOTE: For a better viewing experience, please set the video in HD (1080p) mode. Check out other math videos/shorts: 🎥 Experiment, Sample Space and Events [shorts]: https://bit.ly/3nrF2em 🎥 Experiment, Sample Space and Events [Examples with answers]:https://bit.ly/3oEE0fu 🎥 Experiment, Sample Space and Events [Homework answers]: https://bit.ly/30Fuscj 🎥 Past Paper Items on Probability (Part 1): https://bit.ly/3ctLf4n 🎥 Multiplying 2 digit numbers by 11 [Part 1]: https://bit.ly/3yY5vFe 🎥 9 Dots Puzzle: https://bit.ly/3fKosmY ▶️PLAYLIST Math Shorts: https://bit.ly/3fIC6qP ▶️PLAYLIST Probability & Statistics: https://bit.ly/3x76diE ▶️PLAYLIST Sequences and Series: https://bit.ly/34CZyj5 ▶️PLAYLIST Math Tutorial Videos: https://bit.ly/3wKCwme ▶️PLAYLIST Videos on Math Proofs & Derivations: https://bit.ly/3vJXJwC ---------------------------------------------------------------------------------- 🔎About CIE Math Solutions: CIE MATH SOLUTIONS is a free online math resource for mathematics students, teachers, and parents. Video math tutorials cover topics ranging from primary to high school math contents. They are designed to help fellow educators find additional references for their lesson preparation, to help students learn math independently online, and to help parents in guiding their children with their homework. Topics are aligned with the Cambridge and IB Curriculum contents. Math concepts and lessons are presented with clear explanations and detailed examples. Some videos present comprehensive proofs and/or derivations to famous mathematics formulas and equations. Some may be presented in different ways. Some videos presents the detailed explanation and solutions of various math competition/olympiad items, math puzzles and some fun math games. Other videos include math tricks and shortcuts. CIE Math Solutions is a free online math resource for all! #ciemathsolutions #probability #pastpaperitems #ciemaths9709 #introductiontoprobability #dependentevents #independentevents #mutuallyexclusive #conditionalprobability #revisions #probabilityandstatistics ---------------------------------------------------------------------------------- Be part of the CIE Math Family and enjoy exclusive perks for you! Join now! ➡️ https://bit.ly/2SQP2Cd Show your support to CIE Math Solutions! I will appreciate if you buy me a coffee. Thank you! ➡️https://bit.ly/3cdbSun ---------------------------------------------------------------------------------- Please SUBSCRIBE, LIKE and COMMENT below. SUBSCRIBE to CIE Math Solutions channel for more Math Videos: 👉https://bit.ly/2S1Uems CIE Math Solutions on Social Media ✅FOLLOW US ON TWITTER: https://twitter.com/ciemathsolution ✅FOLLOW US ON INSTAGRAM: https://www.instagram.com/ciemathsolu... ✅LIKE US ON FACEBOOK: https://www.facebook.com/ciemathsolution ✅FOLLOW US ON TUMBLR: https://ciemathsolution.tumblr.com 📝MY BLOG: https://ciemathsolutions.blogspot.com 💬For INQUIRIES, CONTACT ME at ciemathsolutions@gmail.com

Fast Multiplication by 11 (Part 1) | Multiplication by 11 tricks

2021-12-30T23:07:00.003-08:00

This math #shorts will show you how to multiply any 2 digit number by 11 in just 3 seconds. Multiply any 2 digit number by 11 fast! This is a #shorts video showing the quickest method of multiplying any number by 11. In this video the focus is multiplying any 2 digit numbers by 11. This #shorts will show the fast multiplication by 11 of a two (2) digit number using easy example. Arrows are used to guide you in the process of multiplying the 3 digit numbers by 11 the fastest way, in just a few seconds! The examples in this video only shows the simplest examples just to show initially the method of multiplying any 2 digit number by 11. The other cases will be shown in the next #short [Part 2], where there will be additional process included aside from the one discussed in this video. There will only be a small difference. The process of multiplying a two (2) digit number by 11 will still be similar. You don't need to do anymore the traditional and manual multiplying of two (2) digit number by 11. You just need to practice using this shortcut method of multiplying a two (2) digit number by 11. CHALLENGE: Pick any 2 digit number, then try to multiply it by 11. Use this shortcut method in multiplying any two (2) digit number by 11. You can do it fast! 🎬NOTE: For a better viewing experience, please set the video in HD (1080p) mode. Check out other math videos: 🎥 Divisibility by 2: https://bit.ly/3pz0cYx 🎥 Divisibility by 3: https://bit.ly/3iRA4H0 🎥 Divisibility by 4: https://bit.ly/3gQD7wm 🎥 Divisibility by 5: https://bit.ly/3wqJlsB 🎥 Divisibility by 6: https://bit.ly/3eb6tF6 🎥 Divisibility by 7: https://bit.ly/3zpb9iS 🎥 Divisibility by 8: https://bit.ly/3f3Wn9P 🎥 Divisibility by 9: https://bit.ly/2TPnrCe 🎥 Divisibility by 10: https://bit.ly/3jMOsPp 🎥 Divisibility by 11: https://bit.ly/2VRn22I 🎥 Divisibility by 12: https://bit.ly/3sisisd 🎥 Multiplying 2 digit numbers by 11 [Part 2]: https://bit.ly/3ibqwpL 🎥 Multiplying 3 digit numbers by 11 [Part 3]: https://bit.ly/3ibNzRj 🎥 9 Dots Puzzle: https://bit.ly/3fKosmY ▶️PLAYLIST Math Shorts: https://bit.ly/3fIC6qP ▶️PLAYLIST Sequences and Series: https://bit.ly/34CZyj5 ▶️PLAYLIST Math Tutorial Videos: https://bit.ly/3wKCwme ▶️PLAYLIST Videos on Math Proofs & Derivations: https://bit.ly/3vJXJwC ---------------------------------------------------------------------------------- 🔎About CIE Math Solutions: CIE MATH SOLUTIONS is a free online math resource for mathematics students, teachers, and parents. Video math tutorials cover topics ranging from primary to high school math contents. They are designed to help fellow educators find additional references for their lesson preparation, to help students learn math independently online, and to help parents in guiding their children with their homework. Topics are aligned with the Cambridge and IB Curriculum contents. Math concepts and lessons are presented with clear explanations and detailed examples. Some videos present comprehensive proofs and/or derivations to famous mathematics formulas and equations. Some may be presented in different ways. Some videos presents the detailed explanation and solutions of various math competition/olympiad items, math puzzles and some fun math games. Other videos include math tricks and shortcuts. CIE Math Solutions is a free online math resource for all! #ciemathsolutions #fastmultiplication #multiplicationtricks #multiplyby11 #mathchannel #mathresources #mathteacher #maths #mathisfun #mathskills ---------------------------------------------------------------------------------- Be part of the CIE Math Family and enjoy exclusive perks for you! Join now! ➡️ https://bit.ly/2SQP2Cd Show your support to CIE Math Solutions! I will appreciate if you buy me a coffee. Thank you! ➡️https://bit.ly/3cdbSun ---------------------------------------------------------------------------------- Please SUBSCRIBE, LIKE and COMMENT below. SUBSCRIBE to CIE Math Solutions channel for more Math Videos: 👉https://bit.ly/2S1Uems CIE Math Solutions on Social Media ✅FOLLOW US ON TWITTER: https://twitter.com/ciemathsolution ✅FOLLOW US ON INSTAGRAM: https://www.instagram.com/ciemathsolu... ✅LIKE US ON FACEBOOK: https://www.facebook.com/ciemathsolution ✅FOLLOW US ON TUMBLR: https://ciemathsolution.tumblr.com 📝MY BLOG: https://ciemathsolutions.blogspot.com 💬For INQUIRIES, CONTACT ME at ciemathsolutions@gmail.com

Divisibility Rule by 5 | Divisible by 5 | Divisibility Rules

2021-12-30T22:50:00.006-08:00

This math #shorts will show you how to determine if a given number is divisible by five (5) or the number can be divided by 5. This is true for all numbers even very large numbers. his can be done even without doing the full division process. This is the first #shorts in a series of #math #shorts about divisibility rules. This focuses on identifying numbers that are divisible by five (5). Arrows are used to guide you in determining if a given number (no matter how many digits it contain) can be divided by five (5). It can be done in just a few seconds! It can be considered as a divisibility rule shortcut or divisibility rule trick since it can be done fast. Challenge: write a random large number then determine if the number you wrote is divisible by 5 or not. Use the process in the divisibility rule for five (5). Learn for more divisibility rules on the next #shorts videos! 🎬NOTE: For a better viewing experience, please set the video in HD (1080p) mode. Check out other math videos: 🎥 Divisibility by 2: https://bit.ly/3pz0cYx 🎥 Divisibility by 3: https://bit.ly/3iRA4H0 🎥 Divisibility by 4: https://bit.ly/3gQD7wm 🎥 Divisibility by 6: https://bit.ly/3eb6tF6 🎥 Divisibility by 7: https://bit.ly/3zpb9iS 🎥 Divisibility by 8: https://bit.ly/3f3Wn9P 🎥 Divisibility by 9: https://bit.ly/2TPnrCe 🎥 Divisibility by 10: https://bit.ly/3jMOsPp 🎥 Divisibility by 11: https://bit.ly/2VRn22I 🎥 Divisibility by 12: https://bit.ly/3sisisd 🎥 Multiplying 2 digit numbers by 11 [Part 1]: https://bit.ly/3yY5vFe 🎥 Multiplying 2 digit numbers by 11 [Part 2]: https://bit.ly/3ibqwpL 🎥 Multiplying 3 digit numbers by 11 [Part 3]: https://bit.ly/3ibNzRj 🎥 9 Dots Puzzle: https://bit.ly/3fKosmY ▶️PLAYLIST Math Shorts: https://bit.ly/3fIC6qP ▶️PLAYLIST Sequences and Series: https://bit.ly/34CZyj5 ▶️PLAYLIST Math Tutorial Videos: https://bit.ly/3wKCwme ▶️PLAYLIST Videos on Math Proofs & Derivations: https://bit.ly/3vJXJwC ---------------------------------------------------------------------------------- 🔎About CIE Math Solutions: CIE MATH SOLUTIONS is a free online math resource for mathematics students, teachers, and parents. Video math tutorials cover topics ranging from primary to high school math contents. They are designed to help fellow educators find additional references for their lesson preparation, to help students learn math independently online, and to help parents in guiding their children with their homework. Topics are aligned with the Cambridge and IB Curriculum contents. Math concepts and lessons are presented with clear explanations and detailed examples. Some videos present comprehensive proofs and/or derivations to famous mathematics formulas and equations. Some may be presented in different ways. Some videos presents the detailed explanation and solutions of various math competition/olympiad items, math puzzles and some fun math games. Other videos include math tricks and shortcuts. CIE Math Solutions is a free online math resource for all! #ciemathsolutions #shorts #divisibilityrules #divisibilityby5 #mathchannel #mathresources #mathteacher #maths #mathisfun #mathskills ---------------------------------------------------------------------------------- Be part of the CIE Math Family and enjoy exclusive perks for you! Join now! ➡️ https://bit.ly/2SQP2Cd Show your support to CIE Math Solutions! I will appreciate if you buy me a coffee. Thank you for your continued support! ➡️https://bit.ly/3cdbSun ---------------------------------------------------------------------------------- Please SUBSCRIBE, LIKE and COMMENT below. SUBSCRIBE to CIE Math Solutions channel for more Math Videos: 👉https://bit.ly/2S1Uems CIE Math Solutions on Social Media ✅FOLLOW US ON TWITTER: https://twitter.com/ciemathsolution ✅FOLLOW US ON INSTAGRAM: https://www.instagram.com/ciemathsolu... ✅LIKE US ON FACEBOOK: https://www.facebook.com/ciemathsolution ✅FOLLOW US ON TUMBLR: https://ciemathsolution.tumblr.com 📝MY BLOG: https://ciemathsolutions.blogspot.com 💬For INQUIRIES, CONTACT ME at ciemathsolutions@gmail.com

Divisibility Rule by 4 | Divisible by 4 | Divisibility Rules

2021-12-30T22:44:00.002-08:00

This math #shorts will show you how to determine if a given number is divisible by four (4) or the number can be divided by 4. This applies to all numbers no matter how large they are. You can easily determine large numbers that can be divided by 4 or that are divisible by four (4). This can be done even without doing the full division process. This is the first #shorts in a series of #math #shorts about divisibility rules. This focuses on identifying numbers that are divisible by four (4). Arrows are used to guide you in determining if a given number (no matter how many digits it contain) can be divided by four (4). It can be done in just a few seconds! It can be considered as a divisibility rule shortcut or divisibility rule trick since it can be done fast. Challenge: write a random large number then determine if the number you wrote is divisible by 4 or not. Use the process in the divisibility rule for four (4). Learn for more divisibility rules on the next #shorts videos! 🎬NOTE: For a better viewing experience, please set the video in HD (1080p) mode. Check out other math videos: 🎥 Divisibility by 2: https://bit.ly/3pz0cYx 🎥 Divisibility by 3: https://bit.ly/3iRA4H0 🎥 Divisibility by 5: https://bit.ly/3wqJlsB 🎥 Divisibility by 6: https://bit.ly/3eb6tF6 🎥 Divisibility by 7: https://bit.ly/3zpb9iS 🎥 Divisibility by 8: https://bit.ly/3f3Wn9P 🎥 Divisibility by 9: https://bit.ly/2TPnrCe 🎥 Divisibility by 10: https://bit.ly/3jMOsPp 🎥 Divisibility by 11: https://bit.ly/2VRn22I 🎥 Divisibility by 12: https://bit.ly/3sisisd 🎥 Multiplying 2 digit numbers by 11 [Part 1]: https://bit.ly/3yY5vFe 🎥 Multiplying 2 digit numbers by 11 [Part 2]: https://bit.ly/3ibqwpL 🎥 Multiplying 3 digit numbers by 11 [Part 3]: https://bit.ly/3ibNzRj 🎥 9 Dots Puzzle: https://bit.ly/3fKosmY ▶️PLAYLIST Math Shorts: https://bit.ly/3fIC6qP ▶️PLAYLIST Sequences and Series: https://bit.ly/34CZyj5 ▶️PLAYLIST Math Tutorial Videos: https://bit.ly/3wKCwme ▶️PLAYLIST Videos on Math Proofs & Derivations: https://bit.ly/3vJXJwC ---------------------------------------------------------------------------------- 🔎About CIE Math Solutions: CIE MATH SOLUTIONS is a free online math resource for mathematics students, teachers, and parents. Video math tutorials cover topics ranging from primary to high school math contents. They are designed to help fellow educators find additional references for their lesson preparation, to help students learn math independently online, and to help parents in guiding their children with their homework. Topics are aligned with the Cambridge and IB Curriculum contents. Math concepts and lessons are presented with clear explanations and detailed examples. Some videos present comprehensive proofs and/or derivations to famous mathematics formulas and equations. Some may be presented in different ways. Some videos presents the detailed explanation and solutions of various math competition/olympiad items, math puzzles and some fun math games. Other videos include math tricks and shortcuts. CIE Math Solutions is a free online math resource for all! #ciemathsolutions #shorts #divisibilityrules #divisibilityby4 #mathchannel #mathresources #mathteacher #maths #mathisfun #mathskills ---------------------------------------------------------------------------------- Be part of the CIE Math Family and enjoy exclusive perks for you! Join now! ➡️ https://bit.ly/2SQP2Cd Show your support to CIE Math Solutions! I will appreciate if you buy me a coffee. Thank you for your continued support! ➡️https://bit.ly/3cdbSun ---------------------------------------------------------------------------------- Please SUBSCRIBE, LIKE and COMMENT below. SUBSCRIBE to CIE Math Solutions channel for more Math Videos: 👉https://bit.ly/2S1Uems CIE Math Solutions on Social Media ✅FOLLOW US ON TWITTER: https://twitter.com/ciemathsolution ✅FOLLOW US ON INSTAGRAM: https://www.instagram.com/ciemathsolu... ✅LIKE US ON FACEBOOK: https://www.facebook.com/ciemathsolution ✅FOLLOW US ON TUMBLR: https://ciemathsolution.tumblr.com 📝MY BLOG: https://ciemathsolutions.blogspot.com 💬For INQUIRIES, CONTACT ME at ciemathsolutions@gmail.com

Divisibility Rule by 3 | Divisible by 3 | Divisibility Rules

2021-12-30T22:41:00.001-08:00

This math #shorts will show you how to determine if a given number is divisible by three (3) or the number can be divided by 3. This can be done even without doing the full division process, and it can be done in just a few seconds. The number may even be millions or billions. This is the first #shorts in a series of #math #shorts about divisibility rules. This focuses on identifying numbers that are divisible by three (3). Arrows are used to guide you in determining if a given number (no matter how many digits it contain) can be divided by three (3). The process is easy to follow. It can be done in just a few seconds! You can already identify large numbers that are divisible by 3 or can be divided by 3 using this process. 🎬NOTE: For a better viewing experience, please set the video in HD (1080p) mode. Check out other math videos: 🎥 Divisibility by 2: https://bit.ly/3pz0cYx 🎥 Divisibility by 4: https://bit.ly/3gQD7wm 🎥 Divisibility by 5: https://bit.ly/3wqJlsB 🎥 Divisibility by 6: https://bit.ly/3eb6tF6 🎥 Divisibility by 7: https://bit.ly/3zpb9iS 🎥 Divisibility by 8: https://bit.ly/3f3Wn9P 🎥 Divisibility by 9: https://bit.ly/2TPnrCe 🎥 Divisibility by 10: https://bit.ly/3jMOsPp 🎥 Divisibility by 11: https://bit.ly/2VRn22I 🎥 Divisibility by 12: https://bit.ly/3sisisd 🎥 Multiplying 2 digit numbers by 11 [Part 1]: https://bit.ly/3yY5vFe 🎥 Multiplying 2 digit numbers by 11 [Part 2]: https://bit.ly/3ibqwpL 🎥 Multiplying 3 digit numbers by 11 [Part 3]: https://bit.ly/3ibNzRj 🎥 9 Dots Puzzle: https://bit.ly/3fKosmY ▶️PLAYLIST Math Shorts: https://bit.ly/3fIC6qP ▶️PLAYLIST Sequences and Series: https://bit.ly/34CZyj5 ▶️PLAYLIST Math Tutorial Videos: https://bit.ly/3wKCwme ▶️PLAYLIST Videos on Math Proofs & Derivations: https://bit.ly/3vJXJwC ---------------------------------------------------------------------------------- 🔎About CIE Math Solutions: CIE MATH SOLUTIONS is a free online math resource for mathematics students, teachers, and parents. Video math tutorials cover topics ranging from primary to high school math contents. They are designed to help fellow educators find additional references for their lesson preparation, to help students learn math independently online, and to help parents in guiding their children with their homework. Topics are aligned with the Cambridge and IB Curriculum contents. Math concepts and lessons are presented with clear explanations and detailed examples. Some videos present comprehensive proofs and/or derivations to famous mathematics formulas and equations. Some may be presented in different ways. Some videos presents the detailed explanation and solutions of various math competition/olympiad items, math puzzles and some fun math games. Other videos include math tricks and shortcuts. CIE Math Solutions is a free online math resource for all! #ciemathsolutions #shorts #divisibilityrules #divisibilityby3 #mathchannel #mathresources #mathteacher #maths #mathisfun #mathskills ---------------------------------------------------------------------------------- Be part of the CIE Math Family and enjoy exclusive perks for you! Join now! ➡️ https://bit.ly/2SQP2Cd Show your support to CIE Math Solutions! I will appreciate if you buy me a coffee. Thank you for your continued support! ➡️https://bit.ly/3cdbSun ---------------------------------------------------------------------------------- Please SUBSCRIBE, LIKE and COMMENT below. SUBSCRIBE to CIE Math Solutions channel for more Math Videos: 👉https://bit.ly/2S1Uems CIE Math Solutions on Social Media ✅FOLLOW US ON TWITTER: https://twitter.com/ciemathsolution ✅FOLLOW US ON INSTAGRAM: https://www.instagram.com/ciemathsolu... ✅LIKE US ON FACEBOOK: https://www.facebook.com/ciemathsolution ✅FOLLOW US ON TUMBLR: https://ciemathsolution.tumblr.com 📝MY BLOG: https://ciemathsolutions.blogspot.com 💬For INQUIRIES, CONTACT ME at ciemathsolutions@gmail.com

The 9-Dots Puzzle and Solutions | 9-Point Puzzle | Famous Math Puzzles

2021-12-30T05:13:00.003-08:00

The 9-point puzzle: Connect all 9 points using 4 straight lines only without lifting your pen/pencil. This is also called as the 9-dot puzzle, connect 9-dots using 4 straight lines puzzle. It is one of the highly popular riddle/math puzzle because at first, the puzzle seem impossible to solve. It is a brain teaser that tests your logic and critical thinking. The answers to this nine point puzzle may seem unacceptable at first, but considering the conditions given in the puzzle, all conditions are successfully meet. This is a #shorts video showing all the solutions of the 9-point puzzle. The solutions look similar. They only vary on the starting point and the direction of the lines. They all connect all 9 dots or points using 4 straight lines without lifting pen or pencil. All dots or points must be connected. Do you have any other way of solving this nine dots math puzzle or challenge? Write a comment below or send me through email. I will feature your work in the next videos. 🎬NOTE: For a better viewing experience, please set the video in HD (1080p) mode. Check out other math videos: 🎥 Divisibility by 2: https://bit.ly/3pz0cYx 🎥 Divisibility by 3: https://bit.ly/3iRA4H0 🎥 Divisibility by 4: https://bit.ly/3gQD7wm 🎥 Divisibility by 5: https://bit.ly/3wqJlsB 🎥 Divisibility by 6: https://bit.ly/3eb6tF6 🎥 Divisibility by 7: https://bit.ly/3zpb9iS 🎥 Divisibility by 8: https://bit.ly/3f3Wn9P 🎥 Divisibility by 9: https://bit.ly/2TPnrCe 🎥 Divisibility by 10: https://bit.ly/3jMOsPp 🎥 Divisibility by 11: https://bit.ly/2VRn22I 🎥 Divisibility by 12: https://bit.ly/3sisisd 🎥 Multiplying 2 digit numbers by 11 [Part 1]: https://bit.ly/3yY5vFe 🎥 Multiplying 2 digit numbers by 11 [Part 2]: https://bit.ly/3ibqwpL 🎥 Multiplying 3 digit numbers by 11 [Part 3]: https://bit.ly/3ibNzRj ▶️PLAYLIST Math Shorts: https://bit.ly/3fIC6qP ▶️PLAYLIST Sequences and Series: https://bit.ly/34CZyj5 ▶️PLAYLIST Math Tutorial Videos: https://bit.ly/3wKCwme ▶️PLAYLIST Videos on Math Proofs & Derivations: https://bit.ly/3vJXJwC ---------------------------------------------------------------------------------- 🔎About CIE Math Solutions: CIE MATH SOLUTIONS is a free online math resource for mathematics students, teachers, and parents. Video math tutorials cover topics ranging from primary to high school math contents. They are designed to help fellow educators find additional references for their lesson preparation, to help students learn math independently online, and to help parents in guiding their children with their homework. Topics are aligned with the Cambridge and IB Curriculum contents. Math concepts and lessons are presented with clear explanations and detailed examples. Some videos present comprehensive proofs and/or derivations to famous mathematics formulas and equations. Some may be presented in different ways. Some videos presents the detailed explanation and solutions of various math competition/olympiad items, math puzzles and some fun math games. Other videos include math tricks and shortcuts. CIE Math Solutions is a free online math resource for all! #ciemathsolutions #mathtricks #mathpuzzles #mathteasers #mathchannel #mathresources #mathteacher #maths #mathisfun #mathskills ---------------------------------------------------------------------------------- Be part of the CIE Math Family and enjoy exclusive perks for you! Join now! ➡️ https://bit.ly/2SQP2Cd Show your support to CIE Math Solutions! I will appreciate if you buy me a coffee. Thank you! ➡️https://bit.ly/3cdbSun ---------------------------------------------------------------------------------- Please SUBSCRIBE, LIKE and COMMENT below. SUBSCRIBE to CIE Math Solutions channel for more Math Videos: 👉https://bit.ly/2S1Uems CIE Math Solutions on Social Media ✅FOLLOW US ON TWITTER: https://twitter.com/ciemathsolution ✅FOLLOW US ON INSTAGRAM: https://www.instagram.com/ciemathsolu... ✅LIKE US ON FACEBOOK: https://www.facebook.com/ciemathsolution ✅FOLLOW US ON TUMBLR: https://ciemathsolution.tumblr.com 📝MY BLOG: https://ciemathsolutions.blogspot.com 💬For INQUIRIES, CONTACT ME at ciemathsolutions@gmail.com

Divisibility Rule by 2 | Divisible by 2 | Divisibility Rules

2021-12-30T05:09:00.004-08:00

This math #shorts will show you how to determine if a given number is divisible by 2 or the number can be divided by 2. This can be done even without doing the full division process. Determining if a given number is divisible by 2 can only be done in just 3 seconds! This is the first #shorts in a series of #math #shorts about divisibility rules. This focuses on identifying numbers that are divisible by two (2). Arrows are used to guide you in determining if a given number (no matter how many digits it contain) can be divided by two (2). It can be done in just a few seconds! 🎬NOTE: For a better viewing experience, please set the video in HD (1080p) mode. Check out other math videos: 🎥 Divisibility by 3: https://bit.ly/3iRA4H0 🎥 Divisibility by 4: https://bit.ly/3gQD7wm 🎥 Divisibility by 5: https://bit.ly/3wqJlsB 🎥 Divisibility by 6: https://bit.ly/3eb6tF6 🎥 Divisibility by 7: https://bit.ly/3zpb9iS 🎥 Divisibility by 8: https://bit.ly/3f3Wn9P 🎥 Divisibility by 9: https://bit.ly/2TPnrCe 🎥 Divisibility by 10: https://bit.ly/3jMOsPp 🎥 Divisibility by 11: https://bit.ly/2VRn22I 🎥 Divisibility by 12: https://bit.ly/3sisisd 🎥 Multiplying 2 digit numbers by 11 [Part 1]: https://bit.ly/3yY5vFe 🎥 Multiplying 2 digit numbers by 11 [Part 2]: https://bit.ly/3ibqwpL 🎥 Multiplying 3 digit numbers by 11 [Part 3]: https://bit.ly/3ibNzRj 🎥 9 Dots Puzzle: https://bit.ly/3fKosmY ▶️PLAYLIST Math Shorts: https://bit.ly/3fIC6qP ▶️PLAYLIST Sequences and Series: https://bit.ly/34CZyj5 ▶️PLAYLIST Math Tutorial Videos: https://bit.ly/3wKCwme ▶️PLAYLIST Videos on Math Proofs & Derivations: https://bit.ly/3vJXJwC 🎥 Multiplying 2 digit numbers by 11 [Part 1]: https://bit.ly/3yY5vFe 🎥 Multiplying 2 digit numbers by 11 [Part 2]: https://bit.ly/3ibqwpL 🎥 Multiplying 3 digit numbers by 11 [Part 3]: https://bit.ly/3ibNzRj 🎥 9 Dots Puzzle: https://bit.ly/3fKosmY ▶️PLAYLIST Math Shorts: https://bit.ly/3fIC6qP ▶️PLAYLIST Sequences and Series: https://bit.ly/34CZyj5 ▶️PLAYLIST Math Tutorial Videos: https://bit.ly/3wKCwme ▶️PLAYLIST Videos on Math Proofs & Derivations: https://bit.ly/3vJXJwC ---------------------------------------------------------------------------------- 🔎About CIE Math Solutions: CIE MATH SOLUTIONS is a free online math resource for mathematics students, teachers, and parents. Video math tutorials cover topics ranging from primary to high school math contents. They are designed to help fellow educators find additional references for their lesson preparation, to help students learn math independently online, and to help parents in guiding their children with their homework. Topics are aligned with the Cambridge and IB Curriculum contents. Math concepts and lessons are presented with clear explanations and detailed examples. Some videos present comprehensive proofs and/or derivations to famous mathematics formulas and equations. Some may be presented in different ways. Some videos presents the detailed explanation and solutions of various math competition/olympiad items, math puzzles and some fun math games. Other videos include math tricks and shortcuts. CIE Math Solutions is a free online math resource for all! #ciemathsolutions #shorts #divisibilityrules #divisibilityby2 #mathchannel #mathresources #mathteacher #maths #mathisfun #mathskills ---------------------------------------------------------------------------------- Be part of the CIE Math Family and enjoy exclusive perks for you! Join now! ➡️ https://bit.ly/2SQP2Cd Show your support to CIE Math Solutions! I will appreciate if you buy me a coffee. Thank you for your continued support! ➡️https://bit.ly/3cdbSun ---------------------------------------------------------------------------------- Please SUBSCRIBE, LIKE and COMMENT below. SUBSCRIBE to CIE Math Solutions channel for more Math Videos: 👉https://bit.ly/2S1Uems CIE Math Solutions on Social Media ✅FOLLOW US ON TWITTER: https://twitter.com/ciemathsolution ✅FOLLOW US ON INSTAGRAM: https://www.instagram.com/ciemathsolu... ✅LIKE US ON FACEBOOK: https://www.facebook.com/ciemathsolution ✅FOLLOW US ON TUMBLR: https://ciemathsolution.tumblr.com 📝MY BLOG: https://ciemathsolutions.blogspot.com 💬For INQUIRIES, CONTACT ME at ciemathsolutions@gmail.com

How to Find the Rule for the nth term of a given Arithmetic Sequence or Progression

2021-12-30T04:09:00.004-08:00

SUBJECT AREA: Algebra, IGCSE Maths (0580), AS/A Level Mathematics (9709)

TOPIC: Sequences and Series - Arithmetic Sequence or Arithmetic Progression - Formulas

PREREQUISITES: Basic Concepts of Arithmetic Sequence / Progression

This video is focused on finding the general rule for the nth term of a given arithmetic sequence or arithmetic progression. This is another video in the series of math tutorial videos about sequences and series. This is usually taught in class 10 (grade 10 maths) or class 11 (grade 11 maths). The topics included in this video are the following: (i) finding the first three terms of an arithmetic sequence given its general rule for its nth term (ii) formulating the general rule for the nth term of an arithmetic sequence given its first three terms The video starts with a quick recall of the basic concepts of arithmetic sequences or arithmetic progressions. The recall includes the terms and notations for arithmetic sequences such as the nth term, first term, common difference and the like. It uses examples for easier recall. Each topic includes an example and a practice exercise for you to try. To find the first three terms of an arithmetic sequence or arithmetic progression, the value of n in the general formula is changed with specific values. On the other hand, to find the general rule for an arithmetic sequence or progression given its first three terms, the formula an = a1 + (n -1)d will be used as a guide. A summary of the processes in finding the first three terms of an arithmetic sequence and also the processes in finding the general rule for a given arithmetic sequence with first three terms are stated at the last part of this video. The next videos will discuss more concepts of arithmetic progressions or arithmetic sequences. 🕘Video Sections🕘 0:00 Intro 0:56 Playlist of math tutorial videos and math proofs & derivations 1:45 Contents of the video 2:08 Quick recall of the basic concepts of arithmetic sequences 3:50 Finding the first three terms of an arithmetic sequence given its general rule 4:41 Practice exercise 7:01 Finding the general rule of an arithmetic sequence given its first three terms 8:15 Practice exercise 10:48 Summary of contents 11:21 Thank you 🎬NOTE: For a better viewing experience, please set the video in HD (1080p) mode. Check out other math videos: 🎥 Finding the Specific Terms [Part 1]: https://bit.ly/3yWBA04 🎥 Finding the Specific Terms [Part 2]: https://bit.ly/3yW7A4i 🎥 Finding the Specific Terms [Part 3]: https://bit.ly/3c7uT1t 🎥 Finding the Specific Terms [part 4]: https://bit.ly/3yYx94Y 🎥 Derivation of the nth term Formula of Arithmetic Progression: https://bit.ly/2SNgikU ▶️PLAYLIST Math Shorts: https://bit.ly/3fIC6qP ▶️PLAYLIST Sequences and Series: https://bit.ly/34CZyj5 ▶️PLAYLIST Math Tutorial Videos: https://bit.ly/3wKCwme ▶️PLAYLIST Videos on Math Proofs & Derivations: https://bit.ly/3vJXJwC ----------------------------------------------------------------------------------- 🔎About CIE Math Solutions: CIE MATH SOLUTIONS is a free online math resource for mathematics students, teachers, and parents. Video math tutorials cover topics ranging from primary to high school math contents. They are designed to help fellow educators find additional references for their lesson preparation, to help students learn math independently online, and to help parents in guiding their children with their homework. Topics are aligned with the Cambridge and IB Curriculum contents. Math concepts and lessons are presented with clear explanations and detailed examples. Some videos present comprehensive proofs and/or derivations to famous mathematics formulas and equations. Some may be presented in different ways. Some videos presents the detailed explanation and solutions of various math competition/olympiad items, math puzzles and some fun math games. Other videos include math tricks and shortcuts. CIE Math Solutions is a free online math resource for all! #ciemathsolutions #sequencesandseries #arithmeticprogression #mathchannel #mathresources #mathteacher #maths #mathisfun #mathskills ----------------------------------------------------------------------------------- Be part of the CIE Math Family and enjoy exclusive perks for you! Join now! ➡️ https://bit.ly/2SQP2Cd Show your support to CIE Math Solutions! I will appreciate if you buy me a coffee. Thank you! ➡️https://bit.ly/3cdbSun ---------------------------------------------------------------------------------- Please SUBSCRIBE, LIKE and COMMENT below. SUBSCRIBE to CIE Math Solutions channel for more Math Videos: 👉https://bit.ly/2S1Uems

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Derivation of the nth term formula of an Arithmetic Sequence or Arithmetic Progression

2021-12-30T04:01:00.003-08:00

SUBJECT AREA: Algebra, IGCSE Maths (0580), AS/A Level Mathematics (9709)

TOPIC: Sequence and Series - Derivations of Formulas

PREREQUISITES: Basic Concepts of Arithmetic Sequence or Progression

In this video, we will explore the complete and detailed derivation of the formula for the nth term or general term of an arithmetic sequence or arithmetic progression. This is another video in the series of math tutorial videos about sequences and series. This is usually taught in class 10 (grade 10 maths) or class 11 (grade 11 maths). The video also includes a recall of the basic concepts of arithmetic sequences or progressions. The basic concepts of terms and common difference were recalled to help aid in understanding the derivation. A video containing the introduction to arithmetic sequences is found in the following link: 🎥 https://www.youtube.com/watch?v=luG7r... This video presents the existing relation of the terms of the sequence, its common difference and the rank/order of the terms. An example of arithmetic sequence or arithmetic progression is used to easily follow the derivation of the formula for the nth term or general term of the arithmetic progression. At the latter part, the symbols a1, n and d are used to represent the first term, number of terms and the common difference of the arithmetic sequence, respectively. At the end of the video, a question is posed for the viewers to answer. You may write down your answers on the comment section below. 🎬NOTE: For a better viewing experience, please set the video in HD (1080p) mode. Check out other math videos: 🎥 Finding the Specific Terms [Part 1]: https://bit.ly/3yWBA04 🎥 Finding the Specific Terms [Part 2]: https://bit.ly/3yW7A4i 🎥 Finding the Specific Terms [Part 3]: https://bit.ly/3c7uT1t 🎥 Finding the Specific Terms [part 4]: https://bit.ly/3yYx94Y 🎥 Derivation of the nth term Formula of Arithmetic Progression: https://bit.ly/2SNgikU ▶️PLAYLIST Math Shorts: https://bit.ly/3fIC6qP ▶️PLAYLIST Sequences and Series: https://bit.ly/34CZyj5 ▶️PLAYLIST Math Tutorial Videos: https://bit.ly/3wKCwme ▶️PLAYLIST Videos on Math Proofs & Derivations: https://bit.ly/3vJXJwC ----------------------------------------------------------------------------------- 🔎About CIE Math Solutions: CIE MATH SOLUTIONS is a free online math resource for mathematics students, teachers, and parents. Video math tutorials cover topics ranging from primary to high school math contents. They are designed to help fellow educators find additional references for their lesson preparation, to help students learn math independently online, and to help parents in guiding their children with their homework. Topics are aligned with the Cambridge and IB Curriculum contents. Math concepts and lessons are presented with clear explanations and detailed examples. Some videos present comprehensive proofs and/or derivations to famous mathematics formulas and equations. Some may be presented in different ways. Some videos presents the detailed explanation and solutions of various math competition/olympiad items, math puzzles and some fun math games. Other videos include math tricks and shortcuts. CIE Math Solutions is a free online math resource for all! #ciemathsolutions #sequencesandseries #arithmeticprogression #mathchannel #mathresources #mathteacher #maths #mathisfun #mathskills ----------------------------------------------------------------------------------- Be part of the CIE Math Family and enjoy exclusive perks for you! Join now! ➡️ https://bit.ly/2SQP2Cd Show your support to CIE Math Solutions! I will appreciate if you buy me a coffee. Thank you! ➡️https://bit.ly/3cdbSun ----------------------------------------------------------------------------------- Please SUBSCRIBE, LIKE and COMMENT below. SUBSCRIBE to CIE Math Solutions channel for more Math Videos: 👉https://bit.ly/2S1Uems

Geometric Visual Proof 2 of algebraic identity a minus b whole squared | IGCSE Maths (0850)

2021-12-30T00:46:00.002-08:00

This is another visual and geometric way of representing the algebraic identity (a-b)^2. It uses basic plane figures such as squares and rectangles for the proof. The first visual proof of the algebraic identity a minus b squared can be found on the following link: 🎥 https://www.youtube.com/watch?v=W9vvV... Prerequisite concepts: - area of a square - area of a rectangle - algebraic identity (a+b)^2 = a^2 + 2ab + b^2 In this video, the algebraic identity (a-b)^2 = a^2 - 2ab + b^2 is again derived and explained geometrically. The visual proof starts with a rectangle with sides a and b. There are four (4) rectangles of the same dimensions used in the proof. The rectangles then are used to form quadrilaterals, which are proven to be squares, with areas (a+b)^2 and (a-b)2, respectively. The second area also used the areas of the other figures arriving at the algebraic identity (a - b)^2 = a^2 - 2ab + b^2. 🕘Video Sections🕘 0:00 Intro 1:49 Prerequisite concept 2:49 Start of the visual proof of a minus b whole squared 3:08 Four rectangles used in the visual proof 3:33 The four rectangles form a quadrilateral 4:32 Start of the derivation of the algebraic identity a minus b squared 8:17 The algebraic identity (a-b)^2 = a^2 - 2ab + b^2 8:29 Questions for today 8:50 Thank you 🎬NOTE: For a better viewing experience, please set the video in HD (1080p) mode. Check out other math videos: 🎥 Finding the Specific Terms [Part 1]: https://bit.ly/3yWBA04 🎥 Finding the Specific Terms [Part 2]: https://bit.ly/3yW7A4i 🎥 Finding the Specific Terms [Part 3]: https://bit.ly/3c7uT1t 🎥 Finding the Specific Terms [part 4]: https://bit.ly/3yYx94Y 🎥 Algebraic Derivation of (a+b)^2: https://bit.ly/3g6wo0P 🎥 Visual Proof of Algebraic Identity (a + b)^2: https://bit.ly/3fJ6stl 🎥 Visual Proof of Algebraic Identity (a - b)^2 [Part 1]: https://bit.ly/3fJaSAz 🎥 Derivation of the nth term Formula of Arithmetic Progression: https://bit.ly/2SNgikU ▶️PLAYLIST Math Shorts: https://bit.ly/3fIC6qP ▶️PLAYLIST Sequences and Series: https://bit.ly/34CZyj5 ▶️PLAYLIST Math Tutorial Videos: https://bit.ly/3wKCwme ▶️PLAYLIST Videos on Math Proofs & Derivations: https://bit.ly/3vJXJwC ----------------------------------------------------------------------------------- 🔎About CIE Math Solutions: CIE MATH SOLUTIONS is a free online math resource for mathematics students, teachers, and parents. Video math tutorials cover topics ranging from primary to high school math contents. They are designed to help fellow educators find additional references for their lesson preparation, to help students learn math independently online, and to help parents in guiding their children with their homework. Topics are aligned with the Cambridge and IB Curriculum contents. Math concepts and lessons are presented with clear explanations and detailed examples. Some videos present comprehensive proofs and/or derivations to famous mathematics formulas and equations. Some may be presented in different ways. Some videos presents the detailed explanation and solutions of various math competition/olympiad items, math puzzles and some fun math games. Other videos include math tricks and shortcuts. CIE Math Solutions is a free online math resource for all! #ciemathsolutions #sequencesandseries #arithmeticprogression #mathchannel #mathresources #mathteacher #maths #mathisfun #mathskills ----------------------------------------------------------------------------------- Be part of the CIE Math Family and enjoy exclusive perks for you! Join now! ➡️ https://bit.ly/2SQP2Cd Show your support to CIE Math Solutions! I will appreciate if you buy me a coffee. Thank you! ➡️https://bit.ly/3cdbSun ----------------------------------------------------------------------------------- Please SUBSCRIBE, LIKE and COMMENT below. SUBSCRIBE to CIE Math Solutions channel for more Math Videos: 👉https://bit.ly/2S1Uems

Past Paper Items on Probability (Part 1) | Revisions in AS/A Level Mathematics | Probability and Statistics 1 (9709)

2021-12-15T09:54:00.011-08:00

SUBJECT AREA: Probability & Statistics, AS/A Level Maths (9709)

TOPIC: Probability - Past Paper Revision Items - Exam Preparations

PREREUISITES: Basic Concepts in Probability, Rules in Probability, Independent Events, Mutually Exclusive Events, Tree Diagrams

This video is a collection of Cambridge AS/A Level Probability & Statistics 1 (9709) past paper items on probability. The collection contains items about sample space, dependent events, independent event, and mutually exclusive events. Some of the items also includes the probability tree diagram. If you would like to download a copy of the collection of AS/A level past paper items on probability, you may go the following link:https://bit.ly/3ctLf4n This is another video in the series of math tutorial videos about probability. This is usually taught in class 10 (grade 10 maths) or class 11 (grade 11 maths). The answers for the items given in the video can also be found on the link above. I would recommend you to answer the items on probability first by your own, then check on the answer key afterwards. In this way, you can check which items about probability you need to study more. It may give you the idea to study more on drawing the probability tree diagram first or identifying the dependent and independent events or recall back mutually exclusive events. The second set of Probability & Statistics 1 (9709) past paper items on probability will be uploaded soon, so please stay tuned. 🕘Video Sections🕘 0:00 Intro 0:12 Item 1 (tree diagram; dependent events; without replacement) 0:20 Item 2 (drawing tree diagram, dependent events) 0:28 Item 3 (tree diagram and conditional probability) 0:36 Item 4 (tabular data and independent events) 0:44 Item 5 (tree diagram and independent events) 0:51 Item 6 (tabular data and conditional probability) 0:59 Item 7 (dependent events and conditional probability) 1:07 Item 8 (conditional probability) 1:15 Item 9 (independent events; 3 bags of balls) 1:24 Item 10 (missing probabilities in tree diagram; conditional probability) 1:50 CIE Math Solutions contents 🎬NOTE: For a better viewing experience, please set the video in HD (1080p) mode. Check out other math videos/shorts: 🎥 Experiment, Sample Space and Events [shorts]: https://bit.ly/3nrF2em 🎥 Experiment, Sample Space and Events [Examples with answers]:https://bit.ly/3oEE0fu 🎥 Experiment, Sample Space and Events [Homework answers]: https://bit.ly/30Fuscj 🎥 Multiplying 2 digit numbers by 11 [Part 1]: https://bit.ly/3yY5vFe 🎥 9 Dots Puzzle: https://bit.ly/3fKosmY 🎥 Introduction to Arithmetic Sequence: https://bit.ly/2S3MW1F 🎥 Finding the Common Difference the Fastest Way: https://bit.ly/3fIVFPZ 🎥 Derivation of the nth term Formula of Arithmetic Progression: https://bit.ly/2SNgikU ▶️PLAYLIST Math Shorts: https://bit.ly/3fIC6qP ▶️PLAYLIST Probability & Statistics: https://bit.ly/3x76diE ▶️PLAYLIST Sequences and Series: https://bit.ly/34CZyj5 ▶️PLAYLIST Math Tutorial Videos: https://bit.ly/3wKCwme ▶️PLAYLIST Videos on Math Proofs & Derivations: https://bit.ly/3vJXJwC ---------------------------------------------------------------------------------- 🔎About CIE Math Solutions: CIE MATH SOLUTIONS is a free online math resource for mathematics students, teachers, and parents. Video math tutorials cover topics ranging from primary to high school math contents. They are designed to help fellow educators find additional references for their lesson preparation, to help students learn math independently online, and to help parents in guiding their children with their homework. Topics are aligned with the Cambridge and IB Curriculum contents. Math concepts and lessons are presented with clear explanations and detailed examples. Some videos present comprehensive proofs and/or derivations to famous mathematics formulas and equations. Some may be presented in different ways. Some videos presents the detailed explanation and solutions of various math competition/olympiad items, math puzzles and some fun math games. Other videos include math tricks and shortcuts. CIE Math Solutions is a free online math resource for all! #ciemathsolutions #probability #pastpaperitems #ciemaths9709 #introductiontoprobability #dependentevents #independentevents #mutuallyexclusive #conditionalprobability #revisions #probabilityandstatistics ---------------------------------------------------------------------------------- Be part of the CIE Math Family and enjoy exclusive perks for you! Join now! ➡️ https://bit.ly/2SQP2Cd Show your support to CIE Math Solutions! I will appreciate if you buy me a coffee. Thank you! ➡️https://bit.ly/3cdbSun ---------------------------------------------------------------------------------- Please SUBSCRIBE, LIKE and COMMENT below. SUBSCRIBE to CIE Math Solutions channel for more Math Videos: 👉https://bit.ly/2S1Uems

Finding the general rule of a given arithmetic sequence [FASTEST WAY] | Pure Mathematics 9709

2021-12-15T08:56:00.013-08:00

SUBJECT AREA: Algebra, IGCSE Maths (0580), AS/A Level Maths - Pure Mathematics 1 (9709)

TOPIC: Sequences and Series

PREPREQUISITES: Basic Concepts in Arithmetic Sequence or Progression

This video is focused on FASTEST WAY or SHORTCUT WAY of finding the general rule for the nth term of a given arithmetic sequence or arithmetic progression. This is another video in the series of math tutorial videos about sequences and series. This is usually taught in class 10 (grade 10 maths) or class 11 (grade 11 maths). The video starts with a quick recall of the basic concepts of arithmetic sequences or arithmetic progressions. The recall includes the terms and notations for arithmetic sequences such as the nth term, first term, common difference and the like. It uses examples for easier recall. An example is presented at the beginning showing the fastest (shortcut) way of finding the general rule for the nth term of a given arithmetic sequence. The answer is also verified using the nth term formula an = a1 + (n - 1)d. The shortcut (fastest way) is also shown from where it came from. Few items are given for you to practice. The answers are shown at the end for you to check if you got the correct answers. The detailed calculations in finding the general term (fastest way) for each are also shown. A summary of the processes in finding the general rule for the nth term of a given arithmetic sequence (the fastest way or shortcut) is shown at the end. 🕘Video Sections🕘 0:00 Intro 0:39 Playlist of math tutorial videos and math proofs & derivations 1:40 Contents of the video 2:02 Quick recall of the basic concepts of arithmetic sequences 3:13 Formula for the nth term of any arithmetic sequence 3:43 Example of finding the general rule using the formula 4:58 Fast way of finding the general rule for the nth term of a given arithmetic sequence or progression 6:00 Explanation for the source of the shortcut in finding the general rule of a given arithmetic sequence 6:47 Practice exercise on finding the general rule of a given arithmetic sequence or progression 12:00 Summary of contents 12:22 Thank you 🎬NOTE: For a better viewing experience, please set the video in HD (1080p) mode. Check out other math videos: 🎥 Finding the Specific Terms [Part 1]: https://bit.ly/3yWBA04 🎥 Finding the Specific Terms [Part 2]: https://bit.ly/3yW7A4i 🎥 Finding the Specific Terms [Part 3]: https://bit.ly/3c7uT1t 🎥 Finding the Specific Terms [part 4]: https://bit.ly/3yYx94Y 🎥 Derivation of the nth term Formula of Arithmetic Progression: https://bit.ly/2SNgikU ▶️PLAYLIST Math Shorts: https://bit.ly/3fIC6qP ▶️PLAYLIST Sequences and Series: https://bit.ly/34CZyj5 ▶️PLAYLIST Math Tutorial Videos: https://bit.ly/3wKCwme ▶️PLAYLIST Videos on Math Proofs & Derivations: https://bit.ly/3vJXJwC ---------------------------------------------------------------------------------- 🔎About CIE Math Solutions: CIE MATH SOLUTIONS is a free online math resource for mathematics students, teachers, and parents. Video math tutorials cover topics ranging from primary to high school math contents. They are designed to help fellow educators find additional references for their lesson preparation, to help students learn math independently online, and to help parents in guiding their children with their homework. Topics are aligned with the Cambridge and IB Curriculum contents. Math concepts and lessons are presented with clear explanations and detailed examples. Some videos present comprehensive proofs and/or derivations to famous mathematics formulas and equations. Some may be presented in different ways. Some videos presents the detailed explanation and solutions of various math competition/olympiad items, math puzzles and some fun math games. Other videos include math tricks and shortcuts. CIE Math Solutions is a free online math resource for all! #ciemathsolutions #sequencesandseries #arithmeticprogression #mathchannel #mathresources #mathteacher #maths #mathisfun #mathskills ---------------------------------------------------------------------------------- Be part of the CIE Math Family and enjoy exclusive perks for you! Join now! ➡️ https://bit.ly/2SQP2Cd Show your support to CIE Math Solutions! I will appreciate if you buy me a coffee. Thank you! ➡️https://bit.ly/3cdbSun ---------------------------------------------------------------------------------- Please SUBSCRIBE, LIKE and COMMENT below. SUBSCRIBE to CIE Math Solutions channel for more Math Videos: 👉https://bit.ly/2S1Uems

Visual Proof 1 of the Algebraic Identity (a - b)^2

2021-12-15T08:50:00.008-08:00

SUBJECT AREA: Algebra

TOPIC: ALgebraic Identities - Math Proofs and Derivations - Visual Geometric Proofs

PREREQUISITES: Areas of plane figures (square and rectangles), Distributive Property of Multiplication, Operations on Algebraic Expressions

This is just one of the ways of representing the algebraic identity (a-b)^2 visually and geometrically. Prerequisite concepts: - area of a square - area of a rectangle - distributive property of multiplication In this video, the algebraic identity (a-b)^2 = a^2 - 2ab + b^2 is derived and explained geometrically. The visual proof starts with a square with side a. Dividing the square into 2 sections, a and a-b, the square will be separated into four (4) regions. One of the regions formed is a square with side (a-b). We can find the area of this square by using the areas of the remaining regions. That is, (a - b)^2 is equal to the area of the whole square minus the areas of the remaining regions. As a result, (a + b)^2 = a^2 - 2ab + b^2. If you would like to have a copy of the square template used, you may download it on my blog at https://ciemathsolutions.blogspot.com.... It is the same template used for the derivation of a plus b squared. 🕘Video Sections🕘 0:00 Intro 2:27 Prerequisite Concepts 3:20 Distributive Property of Multiplication 5:16 Start of the Visual Proof of the Identity a minus b squared 7:00 Four regions formed in the square 10:00 Derivation of the algebraic identity a minus b squared 11:21 The algebraic identity (a-b)^2 = a^2 - 2ab + b^2 11:36 Questions for today 12:00 Thank you 🎬NOTE: For a better viewing experience, please set the video in HD (1080p) mode. Check out other math videos: 🎥 Finding the Specific Terms [Part 1]: https://bit.ly/3yWBA04 🎥 Finding the Specific Terms [Part 2]: https://bit.ly/3yW7A4i 🎥 Finding the Specific Terms [Part 3]: https://bit.ly/3c7uT1t 🎥 Finding the Specific Terms [part 4]: https://bit.ly/3yYx94Y 🎥 Algebraic Derivation of (a+b)^2: https://bit.ly/3g6wo0P 🎥 Visual Proof of Algebraic Identity (a + b)^2: https://bit.ly/3fJ6stl 🎥 Visual Proof of Algebraic Identity (a-b)^2 [Part 2]: https://bit.ly/3cbNAB7 🎥 Introduction to Arithmetic Sequence: https://bit.ly/2S3MW1F 🎥 Derivation of the nth term Formula of Arithmetic Progression: https://bit.ly/2SNgikU ▶️PLAYLIST Math Shorts: https://bit.ly/3fIC6qP ▶️PLAYLIST Sequences and Series: https://bit.ly/34CZyj5 ▶️PLAYLIST Math Tutorial Videos: https://bit.ly/3wKCwme ▶️PLAYLIST Videos on Math Proofs & Derivations: https://bit.ly/3vJXJwC ---------------------------------------------------------------------------------- 🔎About CIE Math Solutions: CIE MATH SOLUTIONS is a free online math resource for mathematics students, teachers, and parents. Video math tutorials cover topics ranging from primary to high school math contents. They are designed to help fellow educators find additional references for their lesson preparation, to help students learn math independently online, and to help parents in guiding their children with their homework. Topics are aligned with the Cambridge and IB Curriculum contents. Math concepts and lessons are presented with clear explanations and detailed examples. Some videos present comprehensive proofs and/or derivations to famous mathematics formulas and equations. Some may be presented in different ways. Some videos presents the detailed explanation and solutions of various math competition/olympiad items, math puzzles and some fun math games. Other videos include math tricks and shortcuts. CIE Math Solutions is a free online math resource for all! #ciemathsolutions #sequencesandseries #arithmeticprogression #mathchannel #mathresources #mathteacher #maths #mathisfun #mathskills ---------------------------------------------------------------------------------- Be part of the CIE Math Family and enjoy exclusive perks for you! Join now! ➡️ https://bit.ly/2SQP2Cd Show your support to CIE Math Solutions! I will appreciate if you buy me a coffee. Thank you! ➡️https://bit.ly/3cdbSun ---------------------------------------------------------------------------------- Please SUBSCRIBE, LIKE and COMMENT below. SUBSCRIBE to CIE Math Solutions channel for more Math Videos:

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Algebraic Derivation of the Identity (a + b)^2

2021-12-15T08:49:00.005-08:00

SUBJECT AREA: Algebra

TOPIC: Algebraic Identities - Algebraic Derivations - Math Proofs and Derivations

PREREQUISITES: Laws of Indices, Operations on Algebraic Expressions, Distributive Property

This video is focused on how to verify the expansion of a plus b squared, which is equal to a^2 +2ab + b^2, using algebraic methods. The focus of this video is on the derivation of the algebraic identity (a+b)^2 = a^2 + 2ab + b^2. It includes prerequisite concepts needed for the derivation with corresponding examples. The algebraic expansion is presented in a clear and step-by-step manner. The process involvees the use of the multiplication law of indices and the distributive property of multiplication. The algebraic identity is verified at the end of the expansion. The algebraic identity (𝑎+𝑏)^2=𝑎^2+2𝑎𝑏+𝑏^2 can be used as a formula guide in finding the expanded form of the square of any binomial. 🕘Video Sections🕘 0:00 - Intro 0:41 - Visual (geometric) proof of the algebraic identity (a+b)^2=a^+2ab+b^2 1:12 - Algebraic derivation of the identity 1:25 - Prerequisite concepts needed for the derivation 1:50 - Multiplication Law of Indices 2:11 - Examples on multiplication law of indices 2:45 - Distributive property of multiplication 3:00 - Examples on distributive property of multiplication 4:27 - Start of the algebraic expansion of a plus b squared 6:08 - Algebraic identity (a+b)^2 = a^2 + 2ab + b^2 verified Questions for today: 1) What have you learned in this video? 2) How can we use the algebraic identity (𝑎+𝑏)^2=𝑎^2+2𝑎𝑏+𝑏^2 to expand the square of any binomial? *Write your answers in the comment section below. 🎬NOTE: For a better viewing experience, please set the video in HD (1080p) mode. Check out other math videos: 🎥 Finding the Specific Terms [Part 1]: https://bit.ly/3yWBA04 🎥 Finding the Specific Terms [Part 2]: https://bit.ly/3yW7A4i 🎥 Finding the Specific Terms [Part 3]: https://bit.ly/3c7uT1t 🎥 Finding the Specific Terms [part 4]: https://bit.ly/3yYx94Y 🎥 Visual Proof of Algebraic Identity (a + b)^2: https://bit.ly/3fJ6stl 🎥 Visual Proof of Algebraic Identity (a - b)^2 [Part 1]: https://bit.ly/3fJaSAz 🎥 Visual Proof of Algebraic Identity (a-b)^2 [Part 2]: https://bit.ly/3cbNAB7 🎥 Introduction to Arithmetic Sequence: https://bit.ly/2S3MW1F 🎥 Derivation of the nth term Formula of Arithmetic Progression: https://bit.ly/2SNgikU ▶️PLAYLIST Math Shorts: https://bit.ly/3fIC6qP ▶️PLAYLIST Sequences and Series: https://bit.ly/34CZyj5 ▶️PLAYLIST Math Tutorial Videos: https://bit.ly/3wKCwme ▶️PLAYLIST Videos on Math Proofs & Derivations: https://bit.ly/3vJXJwC ---------------------------------------------------------------------------------- 🔎About CIE Math Solutions: CIE MATH SOLUTIONS is a free online math resource for mathematics students, teachers, and parents. Video math tutorials cover topics ranging from primary to high school math contents. They are designed to help fellow educators find additional references for their lesson preparation, to help students learn math independently online, and to help parents in guiding their children with their homework. Topics are aligned with the Cambridge and IB Curriculum contents. Math concepts and lessons are presented with clear explanations and detailed examples. Some videos present comprehensive proofs and/or derivations to famous mathematics formulas and equations. Some may be presented in different ways. Some videos presents the detailed explanation and solutions of various math competition/olympiad items, math puzzles and some fun math games. Other videos include math tricks and shortcuts. CIE Math Solutions is a free online math resource for all! #ciemathsolutions #sequencesandseries #arithmeticprogression #mathchannel #mathresources #mathteacher #maths #mathisfun #mathskills ---------------------------------------------------------------------------------- Be part of the CIE Math Family and enjoy exclusive perks for you! Join now! ➡️ https://bit.ly/2SQP2Cd Show your support to CIE Math Solutions! I will appreciate if you buy me a coffee. Thank you! ➡️https://bit.ly/3cdbSun ---------------------------------------------------------------------------------- Please SUBSCRIBE, LIKE and COMMENT below. SUBSCRIBE to CIE Math Solutions channel for more Math Videos: 👉https://bit.ly/2S1Uems

Squaring a Binomial Using Algebraic Identity

2021-12-15T08:31:00.005-08:00

SUBJECT AREA: Algebra

TOPIC: Algebraic Identities - Applications of Algebraic Identities - Squaring Binomial Shortcut

PREREQUISITES:

The focus of this video is on expanding the square of a binomial of the form (ax + b)^2 using the algebraic identity (a+b)^2 = a^2 + 2ab + b^2. The pre-requisite concepts needed for the expansion are: - Algebraic identity: (a+b)^2 = a^2 + 2ab + b^2 - Multiplication Law of Indices Here are the links of the videos related to the square of a binomial: - Visual and geometric proof of the expansion of a plus b squared 🎥 https://bit.ly/2RigGrl - Derivation of the algebraic identity (a+b)^2 = a^2 + 2ab + b^2 🎥 https://bit.ly/3i9YXxj There are four examples in the video with various signs of the terms of the binomial. It explains how to square and simplify the following binomials: (2x+3)^2, (2x - 3)^2, (-2x + 3)^2 and (-2x - 3)^2. Each of the items are also solved using direct substitution on the algebraic identity a plus b whole squared is equal to a^2 + 2ab + b^2 and also the fast way of expanding it. An acronym S-2P-S is introduced as an aid for faster expansion of the square of the binomial. Thank you for watching this video! :) 🕘Video Sections🕘 0:00 Intro 1:09 Math Proofs and Derivations Past Videos 1:56 Prerequisite 1 - Algebraic Identity (a+b)^2 2:49 Prerequisite 2 - Multiplication Law of Indices 3:52 Example 1 - Expansion using the algebraic identity 6:08 Example 1 - Expansion using the easiest method (S-2P-S) 7:26 Example 2 - Expansion using the algebraic identity 8:37 Example 2 - Expansion using the easiest method (S-2P-S) 9:29 Example 3 - Expansion using the algebraic identity 10:32 Example 3 - Expansion using the easiest method (S-2P-S) 11:24 Example 4 - Expansion using the algebraic identity 12:20 Example 4 - Expansion using the easiest method (S-2P-S) 13:05 Summary of the examples of squaring binomials of the form (ax+b)2 13:46 Questions for today 🎬NOTE: For a better viewing experience, please set the video in HD (1080p) mode. Check out other math videos: 🎥 Finding the Specific Terms [Part 1]: https://bit.ly/3yWBA04 🎥 Finding the Specific Terms [Part 2]: https://bit.ly/3yW7A4i 🎥 Finding the Specific Terms [Part 3]: https://bit.ly/3c7uT1t 🎥 Finding the Specific Terms [part 4]: https://bit.ly/3yYx94Y 🎥 Visual Proof of Algebraic Identity (a + b)^2: https://bit.ly/3fJ6stl 🎥 Visual Proof of Algebraic Identity (a - b)^2 [Part 1]: https://bit.ly/3fJaSAz 🎥 Visual Proof of Algebraic Identity (a-b)^2 [Part 2]: https://bit.ly/3cbNAB7 🎥 Derivation of the nth term Formula of Arithmetic Progression: https://bit.ly/2SNgikU ▶️PLAYLIST Math Shorts: https://bit.ly/3fIC6qP ▶️PLAYLIST Sequences and Series: https://bit.ly/34CZyj5 ▶️PLAYLIST Math Tutorial Videos: https://bit.ly/3wKCwme ▶️PLAYLIST Videos on Math Proofs & Derivations: https://bit.ly/3vJXJwC ---------------------------------------------------------------------------------- 🔎About CIE Math Solutions: CIE MATH SOLUTIONS is a free online math resource for mathematics students, teachers, and parents. Video math tutorials cover topics ranging from primary to high school math contents. They are designed to help fellow educators find additional references for their lesson preparation, to help students learn math independently online, and to help parents in guiding their children with their homework. Topics are aligned with the Cambridge and IB Curriculum contents. Math concepts and lessons are presented with clear explanations and detailed examples. Some videos present comprehensive proofs and/or derivations to famous mathematics formulas and equations. Some may be presented in different ways. Some videos presents the detailed explanation and solutions of various math competition/olympiad items, math puzzles and some fun math games. Other videos include math tricks and shortcuts. CIE Math Solutions is a free online math resource for all! #ciemathsolutions #sequencesandseries #arithmeticprogression #mathchannel #mathresources #mathteacher #maths #mathisfun #mathskills

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Introduction to Arithmetic Sequence or Progression [Basic Concepts Explained with Examples]

2021-12-15T08:29:00.009-08:00

SUBJECT AREA: Algebra, IGCSE Maths (0580), Pure Mathematics 1(9709)

TOPIC: Sequences and Series

This video is the introduction of the basic concepts of arithmetic progression or arithmetic sequence. This is the first video in a series of math tutorial videos about sequences and series. This is usually taught in class 10 (grade 10 math) or class 11 (grade 11 math).The topics included in this video are the following: (i) defining an arithmetic sequence - The video shows the basic definition and the distinguishing characteristics of an arithmetic sequence or progression. (ii) classifying a sequence as an arithmetic sequence - Some examples are given for you to identify or classify as arithmetic sequence or progression. The terms of the sequences given are used as a basis to classify them. (iii) determining the common difference of an arithmetic sequence - Examples about finding the common difference of a given arithmetic sequence or progression are clearly discussed. (iv) finding the next three (3) terms of an arithmetic sequence - Some arithmetic sequences or progressions are given for you to find the next three terms, using the concept of the common difference of the sequence. The examples are thoroughly explained for better understanding of the basic concepts of arithmetic sequence or progression. A variety of examples are given in the video. The examples show a variation on the value of the common difference and the signs of the terms of the arithmetic progression or arithmetic sequence. A summary is also shown at the last part of the video to summarize: 1) How to identify an arithmetic sequence or progression 2) How to find the common difference of any given arithmetic sequence or progression 3) How to find the next three terms of a given arithmetic sequence or progression The next videos will discuss more concepts of arithmetic progressions or arithmetic sequences. 🕘Video Sections🕘 0:00 Intro 1:55 What is a term? 3:00 What is a common difference? 3:55 What is an arithmetic progression or sequence? 4:17 Identifying arithmetic sequences 5:15 Finding the common difference of an arithmetic progression or sequence 6:00 Finding the next three terms of an arithmetic progression or sequence 13:02 Summary of contents 🎬NOTE: For a better viewing experience, please set the video in HD (1080p) mode. Check out other math videos: 🎥 Visual Proof of Algebraic Identity (a - b)^2 [Part 1]: https://bit.ly/3fJaSAz 🎥 Visual Proof of Algebraic Identity (a-b)^2 [Part 2]: https://bit.ly/3cbNAB7 🎥 Derivation of the nth term Formula of Arithmetic Progression: https://bit.ly/2SNgikU ▶️PLAYLIST Math Shorts: https://bit.ly/3fIC6qP ▶️PLAYLIST Sequences and Series: https://bit.ly/34CZyj5 ▶️PLAYLIST Math Tutorial Videos: https://bit.ly/3wKCwme ▶️PLAYLIST Videos on Math Proofs & Derivations: https://bit.ly/3vJXJwC ----------------------------------------------------------------------------------- 🔎About CIE Math Solutions: CIE MATH SOLUTIONS is a free online math resource for mathematics students, teachers, and parents. Video math tutorials cover topics ranging from primary to high school math contents. They are designed to help fellow educators find additional references for their lesson preparation, to help students learn math independently online, and to help parents in guiding their children with their homework. Topics are aligned with the Cambridge and IB Curriculum contents. Math concepts and lessons are presented with clear explanations and detailed examples. Some videos present comprehensive proofs and/or derivations to famous mathematics formulas and equations. Some may be presented in different ways. Some videos presents the detailed explanation and solutions of various math competition/olympiad items, math puzzles and some fun math games. Other videos include math tricks and shortcuts. CIE Math Solutions is a free online math resource for all! #ciemathsolutions #sequencesandseries #arithmeticprogression #mathchannel #mathresources #mathteacher #maths #mathisfun #mathskills ----------------------------------------------------------------------------------- Be part of the CIE Math Family and enjoy exclusive perks for you! Join now! ➡️ https://bit.ly/2SQP2Cd Show your support to CIE Math Solutions! I will appreciate if you buy me a coffee. Thank you! ➡️https://bit.ly/3cdbSun ----------------------------------------------------------------------------------- Please SUBSCRIBE, LIKE and COMMENT below. SUBSCRIBE to CIE Math Solutions channel for more Math Videos: 👉https://bit.ly/2S1Uems

Visual Proof of the Expansion of (a + b)^2

2021-12-15T08:26:00.017-08:00

Subject Area: Algebra

Topic: Algebraic Identities - Math Proofs and Derivations of Algebraic Identities

Prerequisites: Areas of plane figures (square and rectangles), simplifying algebraic expressions (combining like terms)

This video is focused on the expansion of a plus b squared explained geometrically. It uses a basic concepts of square and rectangles to verify the algebraic identity. In this video, we explore the visual proof of the identity (a+b)^2 = a^2 + 2ab + b^2. This is the visual geometric representation of the expansion of (a+b)^2 - a plus b whole square. We start with a square with side a+b. Separating a and b on each side of the square, we form four (4) regions - one of which is a square with area a^2, two rectangles with total area of 2ab, and another square with area b^2. The area of the square is (a + b)^2, which is equal to a^2 + 2ab + b^2. If you want to try the visual proof by yourself or you want to share it to others, I included a free template of the square cutouts for the visual proof. It comes with plain white square and also colored ones. Feel free to use them. The file can be downloaded in the following link: 📝https://bit.ly/34Hfukj 🎬NOTE: For a better viewing experience, please set the video in HD (1080p) mode. Check out other math videos: 🎥 Finding the Specific Terms [Part 1]: https://bit.ly/3yWBA04 🎥 Finding the Specific Terms [Part 2]: https://bit.ly/3yW7A4i 🎥 Finding the Specific Terms [Part 3]: https://bit.ly/3c7uT1t 🎥 Finding the Specific Terms [part 4]: https://bit.ly/3yYx94Y 🎥 Algebraic Derivation of (a+b)^2: https://bit.ly/3g6wo0P 🎥 Visual Proof of Algebraic Identity (a - b)^2 [Part 1]: https://bit.ly/3fJaSAz 🎥 Visual Proof of Algebraic Identity (a-b)^2 [Part 2]: https://bit.ly/3cbNAB7 🎥 Introduction to Arithmetic Sequence: https://bit.ly/2S3MW1F 🎥 Derivation of the nth term Formula of Arithmetic Progression: https://bit.ly/2SNgikU ▶️PLAYLIST Math Shorts: https://bit.ly/3fIC6qP

▶️PLAYLIST Probability & Statistics: https://bit.ly/3x76diE

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