Embedded Files
Teaching Learning Materials (TLM) for Mathematics = Mat(h)erials
Types of mat(h)erials
Types of mat(h)erials
Coming soon!!
Websites
Websites
Mathigon - polypad: virtual manipulatives
National Library of Virtual Manipulatives
Math with Bad Drawings - the source of many of the cartoons on this site
Visuals - primary
Visuals - primary
visuals-primary.pdfHundred-chart
hundred-chart.pdfVisuals - middle school
Visuals - middle school
Numbers: Coming soon!!
Algebra
visuals-middle-algebra.pdfGeometry
visual-middle-geometry.pdfLow-cost Montessori Mat(h)erials
Low-cost Montessori Mat(h)erials
Mat(herials for pre-number concepts and introduction to numbers
Cuboids: Pink Tower, Brown Stairs, Long Rods, Number Rods
Cylinder Box, rather Coloured Cylinders
Montessori-materials.pdf
Pink Tower
Pink Tower
ten cubes with sides 10cm, 9cm, ... 2cm, 1cm
for 'big-small', bigger-smaller', 'biggest-smallest'
Brown Stairs
Brown Stairs
ten cuboids with square cross sections matching the cubes of Pink Tower (remaining dimension is longer)
for 'thick-thin', 'thicker-thinner', 'thickest-thinnest'
Long Rods
Long Rods
ten cuboids with uniform small square cross section and lengths 10cm, 20cm, ... 90cm, 1m
for 'long-short', 'longer-shorter', 'longest-shortest'
[long, not tall]
Number Rods
Number Rods
ten cuboids identical in size to long rods, with alternate 10cm segments coloured
for introduction of numbers one, two... nine, ten and much much more
Cylinders
Cylinders
four sets of ten cylinders each as follows:
red: uniform height and varying thickness (diameter)
blue: uniform thickness and height varying
for 'tall-short', 'taller-shorter', 'tallest-shortest'
yellow: height and thickness/diameter both increasing (or decreasing)
green: height increasing while thickness/diameter decreasing
Static Beads
Static Beads
Whole Numbers and Decimals Kit
Whole Numbers and Decimals Kit
Place-value or base-10 mat(h)erials: What to use, when and why?
Bundle-sticks
Bundle-sticks
basic mat(h)erial that can be bundled
Bundle and sticks can be made with any sticks of roughly the same size. Twigs, coconut broom sticks (cut to roughly 10cm long pieces), toothpicks, dried up sketch pens – all these can be used along with rubber bands to make bundles. It is important that these are introduced when children are learning numbers 0-100 and that they get a lot of practice of making bundles of 10 sticks. 10 bundles can be combined to make a bigger bundle of 100.
These can be used to introduce numbers, especially 0-100, as well as addition-subtraction. These are fundamental for the understanding of place-value (or rather decimal or base-10 system) and can be used to compare numbers as well. They are very useful in understanding the standard algorithms for addition-subtraction in particular.
Ten-frames
Ten-frames
ten-frames.pdfPoster of sums
ten-frame-sums.pdfOdd-Even and their sums
odd-even-sums.pdf
Ganitmala
Ganitmala
100-beads mala in 2 colours for learning whole numbers and operations (and more)
How to make:
ganitmala.pdfPrintable manual:
ganitmala man double a4.pdf
Double Ganitmala
Double Ganitmala
can be extended to a mala in 4 colours for integers
How to make:
double-ganitmala.pdfIntroduction to integers
int.pdfComparing integers
int-comparison.pdfAdding integers
int-addition.pdfSubtracting integers
int-subtraction.pdf
Arrow Cards
Arrow Cards
numeral cards that help in understanding place-value
How to make:
arrow-cards.pdfLayout till 100
arrow-card-100.pdfLayout for multiple sets till 1000 - needed for multiplication and division
arrow-card-1000-big.pdf
Decimal Arrow Cards
Decimal Arrow Cards
can be extended for decimals
How to make:
decimal-arrow-cards.pdfLayout
decimal-arrow-card-layout.pdf
Flats-Longs-Units (FLU)
Flats-Longs-Units (FLU)
2D base 10 materials for whole numbers
How to make:
FLU.pdf
How to make a thousand:
thousand.pdf
Decimal FLU
Decimal FLU
can be modified for decimals
How to make:
Decimal-FLU.pdfFraction kit
Fraction kit
Fractions with whole as a circle, as a square and as a strip
How to make:
fraction-kit.pdf
Fraction Circles and Sectors
Fraction Circles and Sectors
Coming soon!!
Fractions with counters
Fractions with counters
Coming soon!!
Fraction Squares
Fraction Squares
fraction-squares.pdf
Fraction Strips
Fraction Strips
Coming soon!!
Algebra Kit
Algebra Kit
Algebra tiles and models for the algebraic identities
Algebra Tiles
Algebra Tiles
generalization of FLU to x2, x and 1 (and possibly to xy, y2 and y)
How to make:
algebra-tiles.pdfQuadratic identities
Quadratic identities
(a + b)2 and related
s1.(a + b)2.pdf(a – b)2 and related
s2.(a - b)2.pdf(a + b)2 + (a - b)2
s4.2(a2 + b2).pdf(a + b)2 - (a - b)2
s5.4ab++.pdf(a + b)(a - b)
s3.a2 - b2.pdf
Algebraic Identities
Algebraic Identities
models for the quadratic and the cubic identities
How to make:
algebraic-identities.pdfQuadratic identities
Quadratic identities
alg-ids-q.pptx
Cubic identities
Cubic identities
(a + b)3
(a + b)3-long.pdf(a - b)3
(a - b)3-long.pdfa3 - b3
a3 - b3-long.pdfa3 + b3
a3 + b3-long.pdfGeometry and Mensuration Kit
Geometry and Mensuration Kit
various models for geometry and mensuration
Cutouts
Cutouts
Card and flex (or paper) cutouts of triangles and quads
triangle-quad.pdf
Nets of Solids
Nets of Solids
nets of various solids needed in Class 1-10
nets.pdf
Straw Models
Straw Models
models for angles and polygons
straw-models.pdf
Polyominoes
Polyominoes
popular puzzle where each piece is made of identical square(s) - lot of math potential
polyominoes.pdf
Straw Branches
Straw Branches
model to show the branching pattern for exponential growth
How to make:
straw-branches.pdf
Virtual tangrams
Tangrams
Tangrams
popular 7-piece puzzle with a lot of math potential
tangram.pdfPage updated
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