Mr Chang's Math Teaching/Learning Resource

http://bit.ly/Math-TL

# Content page

 Content pageSingapore Math Curriculum FrameworkNUMBERSPlace ValuesMultiplication tableLearn ------------------ bit.ly/timeslearn     (learn through flash cards)Matching game ----- bit.ly/timesmatch   (matching game)Estimation , rounding-offA strategy for rounding off numbers (including decimal) --- “PAZA-te”Rounding-off test yourselfSummary notes on NumbersALGEBRAFRACTIONDECIMALSPERCENTAGEAVERAGEAREA OF TRIANGLESVolume of Cubes and CuboidsReference links:Unit Conversionslitre, ml, cm3Litre, m3ExperientialHave a sensing on how big/small various units (cm3, millimetres, litres, m3 ) are…The one-metre cube:Check out their relationship with each otherInteractive toolFormula for finding volume of cuboidGEOMETRY3D shapes, Nets and solid figuresCIRCLESPi approximationsSpeedHeuristics for word problemMy “value-add” folder at Google DriveCollection of Math questionsWorked solutionCommunication channel with pupilsT-score calculatorOther resource: Reference, Games, Puzzles, VideosHBL Resources by Math MTTs for Primary MathsSLS e-catalogue[view | edit]

## Singapore Math Curriculum Framework

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

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## NUMBERS

### Estimation , rounding-off

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

https://www.instagram.com/tv/B22Ej-rH94o/?igshid=1xiay7i1g3aow

#### Rounding-off test yourself

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

### Summary notes on Numbers

Short-cut for multiplying 2-digit numbers

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

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## ALGEBRA

Explore a rules of algebra

https://www.instagram.com/p/CAvXcWFnkF-/?igshid=otspbau2u9ch

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## FRACTION

Simplifying fractions (“Bird-fishing”)

http://bit.ly/bird-fish

Division vs fraction / mixed numbers

https://www.instagram.com/p/BP8ebKkh1P-/?utm_source=ig_share_sheet&igshid=twppp6funpkw

Conversion of Fraction to Decimal

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## DECIMALS

Rounding-off program

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

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## PERCENTAGE

https://www.instagram.com/p/Bl3QaRoHm2q/?utm_source=ig_share_sheet&igshid=174vkxoty5gmg

Some interesting trivia:

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

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## AVERAGE

Understanding average graphically

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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/BxT8OgrH1Pl/?utm_source=ig_share_sheet&igshid=efmic9u2yh4 ← appreciate the dance of the triangles (observe when base extensions appear, forming butterflies

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

https://www.instagram.com/p/Bg1WiBAhJXW/?taken-by=changchengliang

https://www.instagram.com/p/Bg5flQ7hGvc/?taken-by=changchengliang  ← must see! This is for a sheared (obtuse) triangle!

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## Volume of Cubes and Cuboids

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/?taken-by=changchengliang

##### 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/?igshid=awt9mjtteei

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

Animation:

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

Parallelogram Dance:

https://bit.ly/para-dance

Evolution of triangles

https://www.instagram.com/p/BlNDK6zhOE3/?utm_source=ig_share_sheet&igshid=fqmzw6icpivu

https://www.instagram.com/p/BlNCPq0h1tE/?utm_source=ig_share_sheet&igshid=5djs75wxc3u9

Area calculation tools

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

Summary Notes on Geometry

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## 3D shapes, Nets and solid figures

Evolution of 3D shapes

https://www.instagram.com/p/BlNCJTkhD_q/?igshid=1hk9s8okv544j

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

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## CIRCLES

Introductory video to Circles

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

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

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## Speed

Summary notes on Speed

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## Heuristics for word problem

Area Diagram Method

http://bit.ly/area-diagram

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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

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

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

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