Chang's Math blog
Compilation of all things math --- questions obtained via students' consultation, related math sites. * Do also check out my EduTech contributions at go.gov.sg/changcl
Monday, April 20, 2026
Friday, April 17, 2026
P6 circles
Extension… Area of shaded = 4 x [ 21x21 - 1/4 x pi x 21x21 + 4 x 1/2 x pi x 10.5x10.5 ] = 4 x [ 441 - 346.5 + 693 ] = 4 x 787.5 = 3150 cm2
Wednesday, April 15, 2026
Tuesday, April 14, 2026
Monday, April 13, 2026
Sunday, April 12, 2026
Tuesday, April 7, 2026
Complementary Angles vs Supplementary Angles
Yes, complementary and supplementary angles are entirely legitimate, standard terms in mathematical language, specifically within the field of geometry.
These terms are used to define special pairs of angles based on their sum of measurements:
- Complementary Angles: Two angles whose measures add up to exactly 90 degrees (forming a right angle).
- Supplementary Angles: Two angles whose measures add up to exactly 180 degrees (forming a straight line).
Key Characteristics
- Pairs Only: Both definitions specifically apply only to two angles. Three or more angles whose sum is 90° or 180° are not technically considered complementary or supplementary, respectively.
- No Adjacency Required: The angles do not need to be physically connected or adjacent in a diagram. As long as their measures add up to the required total (90° or 180°), they are considered complementary or supplementary.
- Acute/Obtuse Restrictions:
- Complementary angles must both be acute (less than 90°).
- Supplementary angles can be two right angles, or one acute angle and one obtuse angle.
Memory Aids
A common mnemonic device used to remember the difference is:
- Complementary = Corner (90 degrees).
- Supplementary = Straight line (180 degrees).
Thursday, April 2, 2026
Wednesday, April 1, 2026
MrChang.com
https://www.instagram.com/p/C-KThA3RzTT/?igsh=MXN5dno5dXAzdHk4NA==
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P4 Factor vs Multiples
Tuesday, March 31, 2026
P5 — Appreciating Average
https://www.instagram.com/p/DAlLLz4TBUI/?img_index=6&igsh=OXZ5cnlzYno0dGs4
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Sunday, March 29, 2026
Thursday, March 26, 2026
Wednesday, March 25, 2026
BoDMAS — order of operations
https://www.instagram.com/reel/C2wzn-6xio4/?igsh=MXN0d2Rqd25vaWFmMg==
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Tuesday, March 24, 2026
Saturday, March 21, 2026
Ketupat Pattern (Fun!)
Fun!
https://www.instagram.com/p/DWGTkChE-D_/?igsh=MTE1a2ljbnVwMDZxaA==
Ketupat Pattern (Easy)
Easy :)
https://www.instagram.com/p/DWGS6cek69Q/?igsh=MTNzaHd4NzVscGgxcQ==
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