Identifying base and heights for all 3 types of triangles

https://www.instagram.com/reel/C5OFlIGRngJ/?igsh=MTd0ZmVkMmNtd2RiNw==

Chang Cheng Liang | Presenting the 3 types of triangles - Observe the bases and their corresponding perpendicular heights cutting through their apexes. -... | Instagram instagram.com

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Re: Visual proof for Sum of consecutive odd-number series to be N^2

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On 12 Feb 2026, at 11:56 PM, Chang Cheng Liang <changchengliang@gmail.com> wrote:



https://www.instagram.com/reel/DUlqKxGE1UO/?igsh=MWFucWdobDIyOTFndQ==

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Mathematisa | Math Animations on Instagram: "Why does the sum of odd numbers always form a perfect square? This animation shows the idea visually, step by step. Odd numbers are integers of the form 2n − 1: 1, 3, 5, 7, 9, … When we add the first odd number, we get a single unit. Adding the next odd number extends the shape evenly on two sides, forming a larger square. Each new odd number fills exactly one new "layer" around the existing square. Mathematically, the sum of the first n odd numbers is 1 + 3 + 5 + … + (2n − 1) = n². This is not just a formula—it is a geometric fact. Each odd number represents the increase in area required to move from an (n − 1) × (n − 1) square to an n × n square. This visual proof connects arithmetic, algebra, and geometry in a simple and intuitive way. It helps students understand why the pattern works, not just memorize the result. Perfect squares, number patterns, and visual reasoning like this form the foundation of deeper mathematical thinking. #m instagram.com

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Visual proof for Sum of consecutive odd-number series to be N^2

https://www.instagram.com/reel/DUlqKxGE1UO/?igsh=MWFucWdobDIyOTFndQ==

Mathematisa | Math Animations on Instagram: "Why does the sum of odd numbers always form a perfect square? This animation shows the idea visually, step by step. Odd numbers are integers of the form 2n − 1: 1, 3, 5, 7, 9, … When we add the first odd number, we get a single unit. Adding the next odd number extends the shape evenly on two sides, forming a larger square. Each new odd number fills exactly one new "layer" around the existing square. Mathematically, the sum of the first n odd numbers is 1 + 3 + 5 + … + (2n − 1) = n². This is not just a formula—it is a geometric fact. Each odd number represents the increase in area required to move from an (n − 1) × (n − 1) square to an n × n square. This visual proof connects arithmetic, algebra, and geometry in a simple and intuitive way. It helps students understand why the pattern works, not just memorize the result. Perfect squares, number patterns, and visual reasoning like this form the foundation of deeper mathematical thinking. #m instagram.com

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A squareroot clock



Take a look! 📌 https://pin.it/7EvXn2Rtf

Math Clock - Addition and Subtraction Practice pin.it

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I’d like to give my students a gift of the GAP ——Insights into Geometry, Area Diagram and Pattern appreciation

Insights into

Geometry

Area Diagram

Pattern

p5 p6 Geometry (minimalist)

My solution…

https://www.instagram.com/p/DUiOmxmk5_i/?igsh=ZTBqc3JkNXV6emxi

Can you pose another minimalist problem on geometry?

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p5 p6 Geometry (minimalist)

My solution…

https://www.instagram.com/p/DUiOmxmk5_i/?igsh=ZTBqc3JkNXV6emxi

Can you pose another minimalist problem on geometry?

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multiples explorer, divisibility test, and prime numbers appreciation

Geometry— Math with bad drawings

Twenty Questions (Of Maddening, Delicious Geometry) mathwithbaddrawings.com

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Sg Population Pyramid in 2025 ( percentage )

Appreciating Average

https://docs.google.com/spreadsheets/d/1T1Jx4Q3P2auxGtKZvuN34R5uGfNAKxhfemBRD6CDYXo/edit?usp=drivesdk

Average appreciation docs.google.com

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Area Diagram— dealing with whole numbers ( #sides #shapes)

Area Diagram 2 --- dealing with decimals

Sides of Pentagon vs sides of Triangles — Area Diagram intro WS

Sec1 Prime factorisation

P5 Area of triangles -- Identifying bases and heights for the three types of triangles

https://www.instagram.com/reel/C5OFlIGRngJ/?utm_source=ig_web_copy_link&igsh=NTc4MTIwNjQ2YQ==

https://www.instagram.com/reel/C5OFlIGRngJ/?utm_source=ig_web_copy_link&igsh=NTc4MTIwNjQ2YQ==

s

Division of fractions --- KCF

https://www.instagram.com/reel/CnTwKWvoRfj/?utm_source=ig_web_copy_link&igsh=NTc4MTIwNjQ2YQ==

https://www.instagram.com/reel/CnTwKWvoRfj/?utm_source=ig_web_button_native_share&igsh=NTc4MTIwNjQ2YQ%3D%3D

See this Instagram post by @changchengliang

Chang Cheng Liang on Instagram instagram.com

Solving a money problem using Area diagram

https://www.instagram.com/p/C6f5ig7RMTE/

https://www.instagram.com/p/C6f5ig7RMTE/

Highest mountain vs deepest seabed on earth

Watch "The Percentage Sign (by CCL)" on YouTube

https://youtu.be/VWoW0M8PlUs?si=EwfBbcIZAX1c_sJs

https://youtu.be/VWoW0M8PlUs?si=EwfBbcIZAX1c_sJs

Regards,

Mr Chang C.L.

_________________

http://MrChang.com/

P6 Division of fraction

https://www.instagram.com/reel/CnTwKWvoRfj/?igsh=Znd1MGZrNnZ2M3px

Chang Cheng Liang on Instagram instagram.com

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Introduction to P5 Rate

• Intro Rate 
• Jingle Bells https://youtu.be/3CWJNqyub3o?si=miDXmbdfTwqEaPqx

Jingle Rate

 

Dashing to connect 

Two different quantities

Do not use the equal sign (=)

It's not appropriate!

Instead we use a line

to relate two quantities

But remember to ensure it is 

much longer than the minus sign (-) !

Jingle rate, Jingle rate

Jingle all the way

O what fun it is to ride

on a simple longer line

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Applications of Prime Factorisation

https://www.instagram.com/p/DTcFyBrE9ox/?igsh=MTQ3ZXM2dzN2MHR1dA==

P5 Ai Tong 2025 Review1

Laws of logarithm

•Logarithm Laws & Properties ♡ ㅤ   ❍ㅤ     ⎙    ⌲ ˡᶦᵏᵉ ᶜᵒᵐᵐᵉⁿᵗ ˢᵃᵛᵉ ˢʰᵃʳᵉ ☞Double tap if you like my post. ☞Drop your comment in the comment section. ☞Turn on post notification to get regular and instant update. ☞Don't forget to hit like & share with your friends. Thank you so much for following! Follow @calculus_lover123 Follow @calculus_lover123 Follow @calculus_lover123 #logarithm#logproperties#emogi#mathematics #calculus

Mathematics Tutor/Teacher • Instagram photo instagram.com

https://www.instagram.com/p/DTVJCWyCNUY/?igsh=NDR5OTZjcWpsMmd5

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