Mr Chang's Math Teaching/Learning Resource

go.gov.sg/cclmathtl

tent page

Singapore Math Curriculum Framework

https://www.instagram.com/p/BQzbB3chixo/?utm_source=ig_share_sheet&igshid=1jkptsngod8pg

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NUMBERS

Place Values

Multiplication tables

• Video and Audio

• https://youtu.be/mbmi4YBYG04
• https://www.instagram.com/p/CdQL6bRJiYS/?igshid=YmMyMTA2M2Y=
• https://www.instagram.com/p/CdQLxYPpW7l/?igshid=YmMyMTA2M2Y=

• Learn ------------------ bit.ly/timeslearn     (learn through flash cards)

• Matching game ----- bit.ly/timesmatch   (matching game)

https://docs.google.com/document/d/e/2PACX-1vRFgV5QNtHf9GIVMfH8ta-HcdXOWrZpDn11B2rSf4S9ffpLRdKMLFEOvFQAZY8SLm3Q8TvDpi0NeX7i/pub

• https://youtu.be/14Aa2BERNoc

• tinyurl.com/2D-times-algo

Writing numerals in words  

(own-pace)  

https://www.instagram.com/p/B86G3E4HXBO/?img_index=1

or

(instagram video)  

https://www.instagram.com/tv/B86H0p_HIS9/?igshid=1um10pcgxxx9d

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Estimation , rounding-off

A strategy for rounding off numbers (including decimal) --- “PAZA-te”

https://www.instagram.com/p/B22Ej-rH94o/

Rounding-off test yourself

https://scratch.mit.edu/projects/219837076/#fullscreen

Exploring multiples and uncover Prime numbers

https://scratch.mit.edu/projects/1237635867/fullscreen/

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Summary notes on Numbers

https://docs.google.com/document/d/e/2PACX-1vRWboc2DfRaEiQ9Rz-KzcoVfoJXbAj-FVUfN_kph635VgykHB0WGZBeb64hpJw-DFKGS_I7WpUk3mrB/pub

Short-cut for multiplying 2-digit numbers

https://www.instagram.com/p/BhTZmshBZOi/?taken-by=changchengliang

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Four operations (4 operations) BoDMAS 

Trigger:

What is your answer for this question  https://www.instagram.com/p/DDmh0adTLr8/?img_index=1 

And this…

https://www.instagram.com/p/DDeiabpzoR2/?img_index=1 

BoDMAS Video

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

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ALGEBRA

Explore rules of algebra

http://bit.ly/algebra-rules 

ALGEBRA Answer Checklist

https://www.instagram.com/p/CAvXcWFnkF-/

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FRACTION

Simplifying fractions (“Bird-fishing”)

http://bit.ly/bird-fish

Tinyurl.com/fractsim

Division vs fraction / mixed numbers

https://www.instagram.com/p/BP8ebKkh1P-/

Conversion of Fraction to Decimal

https://drive.google.com/open?id=18mts3aFSDN7NOXDR60bhlAXYQ4WIwkDD

Division of Fraction

https://www.instagram.com/p/CLjtb5QHkk_/

Product of fractions

https://www.instagram.com/p/CkV4_3ypmBB/?igshid=MzRlODBiNWFlZA==

Tinyurl.com/fractprod

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https://www.instagram.com/p/BpHd76qBr_7/    Keying in fraction in Word Document

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DECIMALS

The decimal point (.) and zero (0)

https://www.instagram.com/p/BlFR3bNhD8Q/   ← decimal point

https://www.instagram.com/p/BlFNWvEhfj-/    ← zero

processes

Eg1. “ x 8000 ”  same as  “ x 8 x 1000 ”

Eg2. “ ➗9000 ”  same as  “ ➗9 x 1000 ”

Rounding-off program

https://scratch.mit.edu/projects/219837076/#fullscreen

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PERCENTAGE

How did the % sign came to be?

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

https://www.instagram.com/p/Bl3QaRoHm2q/

Some interesting trivia:

Did you know? ---     x% of y  =  y% of x .

(eg.

Think of a “halvable number” (a number that can be divided by 2) say 18, then quiz someone, “What is 18% of 50?”

The answer is the same as 50% of 18  =  ½ of 18  = 9 ,)

Or

Think of a “quarterable number” (a number that can be divided by 4) say 32, then quiz someone, “What is 32% of 25?”

The answer is the same as 25% of 32 = ¼ of 32 = 8

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AVERAGE, GRAPHS AND STATISTICS

The mean machine

https://www.mathsisfun.com/data/mean-machine.html

Understanding average graphically

Via IG slides: https://www.instagram.com/p/DAlLtFVTghe/?img_index=1   

Experiential, via google sheet:

https://docs.google.com/spreadsheets/d/1T1Jx4Q3P2auxGtKZvuN34R5uGfNAKxhfemBRD6CDYXo/edit#gid=0

        Graph

        https://www.mathsisfun.com/data/data-graph.php

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PERIMETER & AREA (of rectangles, and their augmentations)

The concept of perimeter vs area

https://www.instagram.com/p/Ck3guS6SoYs/?igshid=YmMyMTA2M2Y=

A magic show?

https://www.instagram.com/reel/CjrgSrbJP3A/?utm_source=ig_web_copy_link 

Activity to perimeter and area of rectangle and it’s augmentation

https://tinyurl.com/area-perim 

A perimeter and area design activity

https://docs.google.com/document/u/1/d/e/2PACX-1vR4lte-34-LXE-x4y_4iDcUzeK2czMMCriMRrhpfsxx0BeXRfItpp6v5cIn1gQXalU0F6Pyy4s6g-Ja/pub

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AREA OF TRIANGLES

Introducing The 3 Different types of Triangles

https://www.instagram.com/p/BgqvPauhRzs/?taken-by=changchengliang

Definition of Acute and Obtuse triangles

https://www.instagram.com/p/BoW42PmhnT9/?utm_source=ig_share_sheet&igshid=gsff8ouztagp

https://www.instagram.com/p/BoW5JYOBQQ2/?utm_source=ig_share_sheet&igshid=b1ic33iazbkw

Make your own triangles using bendable straws

https://www.instagram.com/p/B-AF0gxHyEk/

Explore base and height of triangle

https://www.geogebra.org/m/r5Bhg59s  ← move the vertices explore when base extensions are needed to define the height of a triangle

https://www.instagram.com/p/CKbWlCWn2Y9/

The dancing triangle

https://www.instagram.com/p/BxT8OgrH1Pl/  ← appreciate the dance of the triangles (observe when base extensions appear, forming butterflies

https://www.instagram.com/p/B9zWljtHaDN/  (with music)

https://www.instagram.com/p/BxT8OgrH1Pl/?utm_source=ig_share_sheet&igshid=efmic9u2yh4 

Appreciating the formula of

Area of triangle = half x base x height

https://youtu.be/7CtApd6fyc4

https://www.instagram.com/p/Bg5flQ7hGvc/

Proof by paper folding/cutting -- the formula of  area of triangle = half x base x height

https://www.instagram.com/p/Bg1WiBAhJXW/

https://www.instagram.com/p/Bg5flQ7hGvc/ ← must see! This is for a sheared (obtuse) triangle!

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Volume of Cubes and Cuboids

Reference links:

https://www.mathsisfun.com/measure/metric-volume.html

Unit Conversions

litre, ml, cm3

1000 cm3  =  1 litre  =  1000 ml

* From this, you can infer that   1cm3  = 1 millitre

Litre, m3 

Recall that ….

1 litre        = 1000 cm3 

= 10cm x 10cm x 10cm

= m x  m  x   m

=  m3

Therefore,

1000 litre = 1 m3

Yes! Make no mistake!

1m3  is NOT 1 litre,     but    1m3  is 1000 litres!

Experiential

Have a sensing on how big/small various units (cm3, millimetres, litres, m3 ) are…

The one-metre cube:

https://www.instagram.com/p/BhrWWpbhdsG/?img_index=1

Check out their relationship with each other

https://drive.google.com/open?id=19DjtI1iP8dihbssbSeimuYImzmWtiHbS → by pupils of 5C(2018)

https://drive.google.com/open?id=132lV2i1OfmTSj5ZVjI8p-NKEgmj5KMwf → by pupils of 5E(2018)

        Interactive tool

https://www.nctm.org/Classroom-Resources/Illuminations/Interactives/Isometric-Drawing-Tool/

Formula for finding volume of cuboid

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GEOMETRY

Parallel vs Perpendicular

https://www.instagram.com/p/B2mIA0MHAgf

Appreciating properties of Special triangles:

http://tinyurl.com/specialtriangles

Appreciating vertically opposite angles:

https://www.instagram.com/p/BnlpCmZB5Nu/?utm_source=ig_share_sheet&igshid=1dd9ckh22tbdo

Graphical proofs of:

• Sum of interior angles of triangle = 180 degrees
• Sum of exterior angles of triangle = 360 degrees

      https://www.geogebra.org/m/FAhtKpR5

Animation:

https://www.instagram.com/p/BxaWohiHasP/?utm_source=ig_share_sheet&igshid=ru0b6pk5lyap

Parallelogram Dance:

https://www.instagram.com/p/CHPP6Y3HCDx/  ← Get up on your feet and do this. Then you will remember :)

https://bit.ly/para-dance

(or  https://drive.google.com/file/d/1NPn-4oWzs2BrsUZiNMsoh7HwUFhOzxZJ/view )

Evolution of triangles

https://www.instagram.com/p/BlNDK6zhOE3/

Evolution of quadrilaterals

https://www.instagram.com/p/BlNCPq0h1tE/

Area calculation tools

https://www.mathsisfun.com/area-calculation-tool.html

Summary Notes on Geometry

https://docs.google.com/document/d/e/2PACX-1vQ5f4grVLQPE-cR0DClUFoEX-zQCvCIpNLIckvyCEeoh_U9_M1oW_X4-6Eb54HcupijgHmvWILfJf_v/pub

Robust Good Habits to solve Geometry problems

https://www.instagram.com/p/CJ84NRwHuRq/?img_index=1

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3D shapes, Nets and solid figures

Evolution of 3D shapes

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

The 11 Nets of a Cube

Coloured version

https://www.instagram.com/p/CG2VQLcnrqP/?igshid=u50dtp8azqku

Monochrome version

https://www.instagram.com/p/BlNB8DCBh6y/

Animation tools and more info...

https://www.mathsisfun.com/geometry/solid-geometry.html

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CIRCLES

Introductory video to Circles

https://www.youtube.com/watch?v=Yb1HYyBfLfc&feature=youtu.be

Parts of a circle

https://www.facebook.com/reel/493942356243496?flite=scwspnss&mibextid=gbJXxCuL0hcHvD9D

“Did you know?” --- figures of identical perimeter / area

https://docs.google.com/presentation/d/e/2PACX-1vTbbATYVQEg44W0Y_BqxvP0V0JCn6T5jx6SRh59wV0xk0uwTluW4YbvefMmnCQX98DaIZ6r9p1-cDwg/pub?start=false&loop=false&delayms=3000

https://www.instagram.com/p/CAw43A3nB1X/?igshid=eb6uwvg6ukfu

WARNING:

The knowledge acquired from this section is meant for counter-checking answers, in the name of encouraging metacognition. DO NOT abuse these facts  to avoid presenting proper working.

Pi approximations

A good animation to let learners appreciate the practical approximate values of Pi ~ 3.14 & 22/7

https://www.threads.net/@dex.netw/post/DHb_mwrCgGS?xmt=AQGzzxtMlpCLF2OhNRJb-gBghbheFUG4kGRFIH2uf-A3Ww

https://www.instagram.com/reel/DCvBpnZzp8n/?igsh=MWRucDNicjJ3azN6aA==

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Rate

        Inverse proportions..

Speed

Trigger: https://www.mathsisfun.com/measure/metric-speed.html

https://www.instagram.com/p/B1WJiOQnuyh/?img_index=1 

Summary notes on Speed

https://docs.google.com/document/u/2/d/e/2PACX-1vRGD3FxYL3nxhvfpgjA2gbEJEfVBa2jMMrrIJOr2DkHKphmUpklIlMDx6pFAP5PKcN6awe2uXC8F0h7/pub#h.of00qxsssrzv

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Heuristics for word problem

Area Diagram Method

http://bit.ly/area-diagram

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My “value-add” folder at Google Drive

https://drive.google.com/open?id=1fh2rfUCWWqCEPoGUT1UW0DVo-53uKXz4

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Collection of Math questions

http://cclmath.blogspot.com/

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Worked solution

http://tinyurl.com/CCLSolution

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Communication channel with pupils

http://mrchang.com/

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T-score calculator

https://drive.google.com/uc?authuser=0&id=1HLaYwluUqk9nodc2nSo17HI9JUzyvgxu&export=download

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Other resource: Reference, Quizzes, Games, Puzzles, Videos

http://bit.ly/math-gamez

https://www.mathsisfun.com/ → great for reference, worksheets, animation, games, puzzles,

http://zaaxa.com  → great for videos

https://go.gov.sg/geogebra-prima

http://go.gov.sg/p6mathbuddies

https://toytheater.com/category/teacher-tools/  → recommended by Scarlett!

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HBL Resources by Math MTTs for Primary Maths

https://docs.google.com/spreadsheets/d/e/2PACX-1vT67prO_kaZOVEVIHOypXP7sqKek2FEDUnijDp2rgq2oo6Nt8AryVzpACAd4fseKw/pubhtml

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SLS e-catalogue

https://docs.google.com/spreadsheets/d/1xSxRqqfgfqIzxBRTH4YanQmrx0seS-B3ItULQ3x0si8/edit#gid=1513533951

https://docs.google.com/spreadsheets/d/1xSxRqqfgfqIzxBRTH4YanQmrx0seS-B3ItULQ3x0si8/htmlview?urp=gmail_link#

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Use of calculator

https://www.nas.gov.sg/archivesonline/data/pdfdoc/20070427988.pdf

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Targeting Math etextbook

http://13.229.16.152/Dashboard

My Geogebra Resources

https://www.geogebra.org/materials/yours

Attitude in learning

Listen

https://www.instagram.com/p/B4BKskOH_n1/

Faced with a challenge?  Secure victory!

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

Singapore Mathematics Framework

https://www.instagram.com/p/BQzbB3chixo/

Debriefing Students after results release

FAILURE

https://www.instagram.com/p/DHff4m9xV2a/?igsh=MWRlN2E1bGF2ODBsMw==

The 4 possibilities:

https://www.instagram.com/p/CWrNfBqhNre/?img_index=1

Study with a vengeance!

https://www.instagram.com/p/ByRgqHeH7_j/