I love to play Maths!

I love to play Maths!

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I LOVE TO PLAY MATHS

COUNTRIES

Turkey

Estonia

Belgium

Italy

Poland

April 2016


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"This project has been funded with support from the European Commission.

This website reflects the views only of the author, and the Commission cannot

be held responsible for any use which may be made of the information

contained therein."


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TABLE OF CONTENTS-1

TABLE OF PRE-PRIMARY SCHOOLS MATERIALS

MOZAIC CARDS MATERIAL ..................................................................... 30

GEOMETRIC SHAPES WITH ELASTIC BANDS MATERIAL ......................... 34

PASSING TO TEN MATERIAL ................................................................... 36

MULTIPLICATION WITH PAINT AND PENS MATERIAL ............................ 40

GEOMETRY BOOKLET MATERIAL ............................................................ 42

MAGICAL RINGS MATERIAL .................................................................... 46

COLOURED FRACTION WHIRLIGIGS MATERIAL ...................................... 54

CENTER OF GRAVITY WITH PLUMB MATERIAL ....................................... 56

DIGIT VALUE CUPS MATERIAL ................................................................ 64

CALCULATION SERIES MATERIAL ............................................................ 68

PUPPETS FROM TANGRAM MATERIAL ................................................... 98

LOLLIPOPS MATERIAL ............................................................................. 100

DIGITAL NUMBERS MATERIAL ................................................................ 102


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TABLE OF CONTENTS-2

TABLE OF PRIMARY SCHOOLS MATERIALS

NUMBER PATTERN MATERIAL................................................................ 4

FRACTION SCALE MATERIAL ................................................................... 10

RULER FOR MEASURING INSTRUMENT MATERIAL ................................ 12

THOUSANDS LINE MATERIAL ................................................................. 18

FRACTION CIRCLE MATERIAL .................................................................. 20

OPERATIONS WITH MULTIPLES OF NUMBERS CARDS MATERIAL ......... 28


CUT AND COLLECT MATERIAL ................................................................ 32



RIGID BODIES MATERIAL ........................................................................ 38



PRACTICE WITH NUMBERS MATERIAL ................................................... 44


FRACTION COUNTER MATERIAL ............................................................. 50

GEO-BOARD MATERIAL .......................................................................... 52


CENTER OF GRAVITY WITH PLUMB MATERIAL ...................................... 56


EQUIVALENT FRACTION MATERIAL ........................................................ 66


INTERIOR ANGLES OF TRIANGLE MATERIAL ........................................... 74

SYMMETRY MATERIAL ............................................................................ 76

PRIME AND COMPOSITE NUMBERS MATERIAL ..................................... 78

SUBTRACTION OF FRACTIONS MATERIALS ............................................ 82



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TABLE OF CONTENTS-3

TABLE OF SECONDARY SCHOOLS MATERIALS

SOLUTION IN DECIMAL FRACTIONS MATERIAL ...................................... 2

NUMBER PATTERN MATERIAL ................................................................ 4

PERIMETER-AREA CROSSWORD MATERIAL............................................ 6

FINDING AREA OF CIRCLE MATERIAL ..................................................... 8

FRACTION SCALE MATERIAL ................................................................... 10


NAPIER'S BONES MATERIAL.................................................................... 14

THOUSANDS LINE MATERIAL .................................................................. 18


GARDENERS’ ELLIPSE MATERIAL ............................................................ 22

CLINOMETER MATERIAL ......................................................................... 24


RIGID BODIES MATERIAL ........................................................................ 38


PRACTICE WITH NUMBERS MATERIAL ................................................... 44


GEOMETRY WITH STRAWS MATERIAL ................................................... 48


GEO-BOARD MATERIAL .......................................................................... 52


SIMPLE PROTRACTOR MATERIAL ........................................................... 58

ZERO COUPLE MATERIAL ........................................................................ 60

DECIMAL NUMBERS CUPS MATERIAL .................................................... 62



DECIMAL SCROLL BAR MATERIAL ........................................................... 70

AREA METHOD MATERIAL ...................................................................... 72



PRIME AND COMPOSITE NUMBERS MATERIAL ..................................... 78

SUBTRACTION WITH ALGEBRAIC EXPRESSIONS MATERIAL ................... 80


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SUBTRACTION OF FRACTIONS MATERIALS ............................................ 82

MULTIPLIER, DIVISOR, PRIME NUMBER BOARD MATERIAL ................... 84

ABSOLUTE VALUE RULER MATERIAL ...................................................... 86

MIXED FRACTION-COMPOUND FRACTION MATERIAL ........................... 88

EXPONENTIAL EXPRESSIONS PUZZLE MATERIAL .................................... 90

“HOW MANY ARE THERE IN THE BOX?” MATERIAL ............................... 92

ANGLE INDICATOR MATERIAL ................................................................ 94

MAGICAL AXIS MATERIAL ....................................................................... 96


COMPASS OF RATIOS MATERIAL ............................................................ 104

FIBONACCI GOLDEN RATIO SPIRAL MATERIAL ....................................... 108


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TABLE OF CONTENTS-4

TABLE OF SPECIAL EDUCATION SCHOOLS MATERIALS



OPERATIONS WITH MULTIPLES OF NUMBERS CARDS MATERIAL .......... 28











ZERO COUPLE MATERIAL ........................................................................ 60

DECIMAL NUMBERS CUPS MATERIAL .................................................... 62




DECIMAL SCROLL BAR MATERIAL ........................................................... 70



SUBTRACTION OF FRACTIONS MATERIALS ............................................. 82


LOLLIPOPS MATERIAL ............................................................................. 100

DIGITAL NUMBERS MATERIAL ................................................................ 102


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MATHEMATICS MATERIALS FOR SCHOOLS


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SOLUTION IN DECIMAL FRACTIONS MATERIAL

Subject It Is Related Decimal Fractions

Intended Use of

Material

To endear maths to pupils by making it

entertaining

To make pupils comprehend decimal fractions

Materials

Broadsheet or coloured papers

Pencil and pilot pen

Eraser

Scissors

Glue

Level Secondary (aged between 10-15)

HOW TO PREPARE?

1. Cut broadsheets into equal pieces in the shape of rectangular.

2. Draw 3 different shapes completing each other in these rectangulars.

3. Write decimal fraction itself in one of these shapes, solutions of

decimal numbers in others.

4. Then make these cards covered by press (PVC). Cut and get ready

cards covered by PVC.

Distribute cards to pupils randomly and make them match the cards. This

material is a more effective educational tool than that pupil make solution by

writing.


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VISUALS FOR MATERIAL PREPARATION


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NUMBER PATTERN MATERIAL

Subject It Is Related Number Patterns

Intended Use of

Material:


entertaining

To make pupils comprehend number patterns

Materials



Scissors

Glue

Hole punch

Straw

Level Primary (aged between 6-10)

Secondary (aged between 10-15)

HOW TO PREPARE?

1. Cut coloured broadsheets into equal pieces as rectangular shape.

2. Write number patterns onto these rectangular pieces according to

their level of difficulty.

3. Write options of number patterns under them. You can use animal

symbols for options to take attention.

4. Then cover these cards with press (PVC). Make a hole with a hole

punch in front of options by cutting cards covered with PVC.

Distribute equal number of more than once cards to each pupil. Tell the

ones who find the right answer to attach cards to straws and right option. Then

tell each pupil to exchange straws and make them check their options.


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PERIMETER-AREA CROSSWORD MATERIAL

Subject It Is Related Geometry Perimeter and Area

Intended Use of

Material:


entertaining

To make pupils comprehend number patterns

Materials



Scissors

Glue


HOW TO PREPARE?

1. Prepare shapes form broadsheets shown in Visual-1. Make each pupil

prepare these shapes before lesson.

Ask for pupils to make different shapes with equal areas, different

perimeters in maths lessons. Then ask for them to make different shapes with

equal perimeters, different areas.

When area is n point out that maximum perimeter is 2n+2 and make them

realize it.


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FINDING AREA OF CIRCLE MATERIAL

Subject It Is Related Geometry Area

Intended Use of

Material:


entertaining

To make pupils comprehend area formula of

circle by using area formula of rectangular

Materials



Scissors

Glue


HOW TO PREPARE?

1. Split all pupils in the class according to class size into 4 or 5, it can be

more.

2. Make each group draw circles with equal size. (e.g. r= 8 cm)

3. Each group divides the circle into 4, 8, 12, 16 and 32 equal pieces.

4. Each group tries to make rectangular shape by bringing small pieces

together.

5. The more the number of pieces makes your pupils realize that the

shape resembles more to rectangular.

6. Make them see that short edge of rectangular equals to radius of

circle, long edge of rectangular equals to half perimeter of circle. For

this they will use (π.r) .r formula. So make them realize that

Area of rectangular = Area of circle

(π.r) .r = π.r2


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FRACTION SCALE MATERIAL

Subject It Is Related Fractions

Intended Use of

Material:

To teach fraction concept

To teach equal fraction, proper fraction and

mixed fraction concepts

To make pupils comprehend expanding and

abbreviation

Materials Coloured cardboards

Pen, rope, light weight (to tie to rope)

Scissors, glue



HOW TO PREPARE?

1. Cut stripes with equal length from coloured cardboards. Write from

to

on these stripes as in Visual-1 e.g.

First stripe:

Second stripe:

Third stripe:

2. Glue stripes on a big cardboard and place a rope as in Visual-4

horizontally. Tie one more rope which can move on this rope and tie

weight to make rope stay vertically.

3. Teacher calls pupils one by one to compare fractions. Many

operations like equality of

fractions can be shown on

scala.


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RULER FOR MEASURING INSTRUMENT MATERIAL

Subject It Is Related Units of Measurement

Intended Use of

Material:

To make pupils comprehend units of

measurement easily

Materials

Coloured cardboards

Transparent coloured acetate or paper

Pen

Scissors, Glue

Level

Special Education

Primary (aged between 6-10)


HOW TO PREPARE?

1. As the one below prepare a measurement ruler from coloured

cardboard.

km hm dam m dm cm mm

2. As in Visual-1 prepare a scroll bar from transparent gelatin on the

ruler. Pupils make calculations of measurement units they want to

calculate by sliding scroll bar on the ruler e.g. in the question 8m= …

cm? pupil writes 8 in meter (m) box and continues to centimeter box.

He/she writes 0 in decimeter (dm) and centimeter (cm) boxes.

The ruler of measuring tools can be adapted into all measurement units.

The number of boxes can be increased for multiplication-division with 100

while adapting into area measures.


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NAPIER'S BONES MATERIAL

Subject It Is Related Multiplication

Intended Use of

Material:

To make pupils comprehend units of

measurement easily

Materials File and coloured papers

Pen

Scissors


HOW TO PREPARE?

1. Make the table as in Visual-1 on checked paper including numbers

from 1 to 9, divided into 9 squares, as other squares are divided into

two as diagonally excluding the upper.

2. Later cut it as sticks.

Multiplication

The sets of sticks given in Visual-2 are identified to calculate multiplication

of 46785399 and 7. The result from the line where there is multiplier 7 is read

from the stripe on the right of the table horizontally. By adding numbers

diagonally in the stripe starting from the far right the result is found. (If the

total found is 10 or more it is added to next total as carry.)

In Visual-3 suitable for this method now sticks are set in the same way to

find the multiplication of the previous number with 96431. By starting from

units digit of the second multiplier the result is found by adding corresponding

numbers diagonally one under the other as stated above and scrolling left each

of them one digit.


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Division

Division can also be made like multiplication. Supposing we will divide

46785399 into 96431. We have used these two numbers in the previous

example. Place sticks as in the table for divisor (96.431). Find diagonal totals of

lines from 1 to 9 for divisor. Dividend is 8 digits. As found numbers as result of

diagonal totals excluding the first are 6 digits the last two numbers of dividend

(99) will be disregarded. In this way find the biggest total smaller than

abbreviated dividend 467853. The first number found in the line that is 4

where this total is 385724 is found as the first number of division. Write under

dividend found result now partly 385724 by adjusting left and find its

difference as 8212999. As it is with more than 6 digits in this value consider 6

number on the left and by repeating the operation above find 771448 for

821299. As it is on the 8th line the second number of division is 8. This

operation goes on until remainder (on the far left below) is smaller than divisor

and division is found 485 remainder is 16364.

If we want we can find the result as with decimal by making normal

long division. For this we put a point at the end of division, add zero to

remainder. In this way as stated below remainder is 163640 and operation

cycle continues. But a zero is added to remainder for each decimal digit. The

first number after decimal point is 1 because the biggest partly result for

163640 is 96431. It is on the 1st line. If we continue this operation two more

times division is found 485.169. As there is remainder cycle continues.


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THOUSANDS LINE MATERIAL

Subject It Is Related Numbers

Intended Use of

Material:


entertaining

To improve capacity of making operations

mentally

Materials Broadsheets and ground-colour cardboard


Coloured transparent paper or acetate



HOW TO PREPARE?

1. Prepare a house Picture with your pupils together as in Visual-1.

2. Draw 4 5x5 unit squares consist of points to house windows.

3. Make pupils make addition operations by moving semi- transparent

paper on windows.

Distribute papers to pupils randomly and make them match. This material

is a more efficient education tool than pupils’ making solution by writing.


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FRACTION CIRCLE MATERIAL


Intended Use of

Material:


entertaining


To teach whole, half, quarter concepts

Materials

Ground-colour cardboards and cartons


Scissors

Glue

Level Special Education



HOW TO PREPARE?

1. Make circles by using ground-colour cardboards and cartons.

2. Make fractions as in the visuals as 1 whole comprises of 4 quarters, 1

quarter is 4 equal pieces. Use different colour of cardboards while

making fractions.

Make your pupils prepare equal fractions by distributing shapes.


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GARDENERS’ ELLIPSE MATERIAL

Subject It Is Related Geometry

Intended Use of

Material:


entertaining

To teach ellipse and circle concepts

Materials

Ground-colour cardboard


Scissors

Rope

Glue


HOW TO PREPARE?

1. Take a cardboard and mark the center where a horizontal line passes

from its center. Mark F and FI points 8 cm far away from the center.

2. By piercing these F and FI points thread a rope at least 17 cm in length

and fix it.

3. Take a pen and move it on cardboard by pulling rope tightly.

Ask for your pupils to comment on the shape they have got and its drawing

method.


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CLINOMETER MATERIAL

Subject It Is Related Geometry – Trigonometry

Intended Use of

Material:


entertaining

To teach slope, angle and trigonometry

concepts

Materials



Scissors, rope, straw

Glue


HOW TO PREPARE?

Clinometer is a tool which measures slope of a surface, way, plane or an

object in proportion to its horizontal plane. It is a tool also named as

declinometer. It is mostly used in measuring the height of a far place e.g. a

mountain.

1. Draw clinometer template on a paper.

2. Tie a rope as it hangs from the corner of the template and attach a

light weight to the end. Glue straw on upper edge of the shape (0

degree part).

3. Rope tied to clinometer is held down (Visual-4). It is looked from the

straw as we can see the vertex of the shape we have chosen. At that

moment the degree of angle is found between the angle in protractor

where there is the rope and midpoint of protractor. Then the length of

a person’s eye looking from the clinometer and where he/she is and

the distance between where he/she is and the object are measured

with a measure of length.

As a result tangent of the angle we have found is the ratio of the length of

the object to our eye to our distance to the object from the point where we


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are. When we equal the tangent of the angle to this ratio the height of the

object left on upper eye level. If we add the height of our eye from the ground

we find approximate height of the object.

D: means the distance between the point where we are and the object

h: means the height of our eye from the ground

α: means the angle we have read on clinometer

H: means the height of the object.

Clinometer is also be made by using protractor.


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I LOVE TO PLAY MATHS!


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OPERATIONS WITH MULTIPLES OF NUMBERS CARDS

MATERIAL

Subject It Is Related Division and Multiplication

Intended Use of

Material:


entertaining

To make pupils comprehend division

To make pupils comprehend multiple concept

Materials

Coloured cardboards


Scissors

Hole punch and rope

Level Special Education Need Pupils

Primary (aged between6-10)

HOW TO PREPARE?

1. Cut 8 cardboards with different colours in rectangular shape and each

of them are longer than the other.

2. Write multiples of numbers on each cardboard from 2 to 9 e.g. write

multiples of 3 one under the other on multiples of 3 cardboard by

putting dots between them. Put the number of numbers

corresponding to numbers between 3 and 6. Point out multiples with

numbers and numbers without multiples with dots. (Visual-1)

3. Punch cards from their top corners by putting together and tie them.

(Visual-2)

Call a pupil to the board and write a division operation and ask for him/her

to make it e.g. make him/her find how many fours there are in dividend in

division to 4 from multiples of 4 cards in his/her hand.


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MOZAIC CARDS MATERIAL

Subject It Is Related Addition

Intended Use of

Material:


entertaining

To make pupils comprehend addition

Materials Coloured papers


Scissors

Level

Pre-primary (aged between 3-6)


Special Education

HOW TO PREPARE?

1. Cut papers with different colours as 1, 2 and 3 units.

2. Continue these operations until 10 by writing

1 onto card with 1 unit,

2 onto card with 2 units,

3 onto card with 3 units. (Visual-1)

3. By using these cards ask for pupils to make addition operations as in

Visual-2. What is important here is to find the total of the number in

higher line by using other cards and place them correctly.


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CUT AND COLLECT MATERIAL


Intended Use of

Material:


entertaining

To make pupils comprehend shapes

To comprehend congruent figures and surfaces

To make pupils comprehend area of polygon

Materials Coloured papers

Pen

Scissors

Level



Special Education Need Pupils

HOW TO PREPARE?

1. Cut coloured right angled triangulars with 2, 3, 4, 5, cm edge lengths

from different coloured papers. (Visual-1)

2. Tell your pupils make regular and irregular tetragons and polygons by

putting triangles together.

3. Make them find the areas of the shapes they have prepared. Enable

them to get the area of the triangle from the areas they have found.

(Visual-2-3)


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GEOMETRIC SHAPES WITH ELASTIC BANDS

MATERIAL


Intended Use of

Material:


entertaining

To make pupils comprehend polygons and

geometrical shapes

To make pupils comprehend area

Materials

Board, nail, hammer

Rubber bands

Checked paper

Pen

Level




HOW TO PREPARE?

1. Divide checked paper as in Visual-1 into equal squares.

2. Nail at corners of square by placing checked paper on board properly.

3. Give shapes pupils must make with rubber bands and ask for them to

make them. (Visual-2-3)

You can use this material to make your pupils calculate area and perimeter

of geometrical shapes.


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PASSING TO TEN MATERIAL


Intended Use of

Material:


entertaining

To make pupils comprehend addition

To learn to cover to 10

Materials

Broadsheet

Pen

Coloured sticks

Elastic band

Level




HOW TO PREPARE?

1. Part paper in the middle with a line as two columns. Write TEN and

UNIT digits to column headings.

2. Tie sticks as 10 decks.

3. Give 2 digit addition operations to pupils.

4. Make them cover to 10 operation and addition operations by using

sticks. (Visual-2-3)


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RIGID BODIES MATERIAL

Subject It Is Related Digit Bodies

Intended Use of

Material:

To recognize shapes and their components in

plane and space

To make pupils comprehend 3 dimension

To use terminology suitable for shapes

Materials Straws

Clay



HOW TO PREPARE?

1. Make balls marble-sized from clay.

2. Cut plenty of straws according to sizes of 3 dimension object to be

made.

3. Make skeleton of rigid bodies by sticking straws into clay marbles and

putting straws together. (Visual-1)

4. By covering the skeleton with stretch film prepare surfaces of bodies.

(Visual-3)

5. While making objects tell pupils concepts like vertex, edge and

diagonal.


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MULTIPLICATION WITH PAINT AND PENS MATERIAL

Subject It Is Related Multiplication

Intended Use of

Material:

To teach multiplication table

To make pupils comprehend logic of

multiplication

To endear maths and make lesson more

entertaining

Materials

Pencils with erasers

Rubber bands

Gouache or water colour

Brush

Broadsheets

Level



Special Education

HOW TO PREPARE?

1. To multiply 7 with 9 tie pencils with a rubber band in groups of 7.

2. Paint parts of pencils with eraser to different colours. (Visual-2)

3. Print coloured parts of pencils 9 times on a white paper. (Visual-3)

4. Make pupils find result of multiplication of 7 with 9 by using coloured

prints.

To make lesson more enjoyable make pupils prepare different shapes

while printing like tree, house, square, rectangular. This material can be used

for addition.


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7 X 9 = 63


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GEOMETRY BOOKLET MATERIAL


Intended Use of

Material:


entertaining

To make pupils comprehend area and

perimeter of geometrical shapes

Materials

Coloured papers

Pen

Scissors

Hole punch

Rope

Level

Pre-primary (aged between3-6)



Special Education

HOW TO PREPARE?

1. Glue coloured papers in rectangular, triangular, square shapes and

their features on papers cut as rectangular shape both sided as in

Visual-1.

2. Then press each card as in Visual-2. (covered with PVC)

3. Tie cards by punching from a point of them.

4. Make pupils sit face to face and give cards to one of the pupils. Pupil

starts showing shapes on front face in turn to pupil opposite him/her

and ask their features and name.

5. Then pupils start asking by turning other sides of cards. They tell

features of geometrical shapes and ask name of the shape.


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PRACTICE WITH NUMBERS MATERIAL

Subject It Is Related Whole Numbers

Intended Use of

Material:


entertaining

To make pupils comprehend addition and

subtraction in whole numbers

Materials


Broadsheet

Pen

Scissors



HOW TO PREPARE?

1. A shape with a cap with windows in plus shape is prepared as in

Visual-1.

2. On caps

To the left - 1,

To the right +1,

To the top -10,

To the bottom +10 are written. (Figure-2)

3. A number table from 1 to 100 are prepared.

4. Plus figure is put on one of the numbers in number table.

5. Pupil picks up caps he/she puts in turn. He/she checks whether the

number written under cap he/she opens is -1, +1, -10, +10 more.

This material benefits for pupils to make addition and subtraction faster.


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MAGICAL RINGS MATERIAL


Intended Use of

Material:


entertaining

To make pupils comprehend circle and polygon

relations

Materials


Broadsheet

Pen

Scissors

Level




Special Education

HOW TO PREPARE?

1. Tell pupils to cut stripes from ground-colour cardboard as in Visual-1.

Tell them to paste ends of different stripes to each other.

2. Then tell them to put stripes with their ends together. (Visual-2)

3. Tell them to cut rings in the middle again. There will be 2 rings at the

end of a stripe. (Visual-3)

4. Lastly tell them to cut the stripe in the middle. They will get a

rectangular when they open it.

This material will make pupils comprehend the relation between

geometrical shapes.


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GEOMETRY WITH STRAWS MATERIAL


Intended Use of

Material:


entertaining

To make pupils comprehend triangle

Inequality of triangular

Materials

Straws

Rope

Ruler

Scissors

Boardmarker


HOW TO PREPARE?

1. Make pupils cut as in Visual-1 long and short pieces with different

lengths measured with ruler from straws.

2. Make them string the pieces cut as threes. (Visual-2)

3. Then make pupils bring straws cut into triangular.

4. Discuss who could make triangular, who could not why. (Visual-3)

│b-c│<a<b+c

│a-c│<b<a+c

│a-b│<c<a+b

a

b c

This material is used for making

pupils comprehend inequality of

triangular.


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FRACTION COUNTER MATERIAL


Intended Use of

Material:


entertaining

To make pupils comprehend operations with

fractions

Materials Coloured ground-colour cardboard

Macaroni

Toothpick

Level



Special Education

HOW TO PREPARE?

1. Tell pupils to cut a thick stripe representing a whole from ground-

colour cardboard as in Visual-1.

2. Make them calculations with the help of toothpicks and macaroni e.g.

for the solution of the question What is

of 16? divide stripe into 4

equal pieces with toothpick and distribute 16 pieces of macaroni into

boxes equally. Then part 1 piece and calculate pieces of macaroni left

in other 3 boxes. (Visual-2-3)

In this way you can make them solve many questions. Calculations turn

out to be more practical in time.


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GEO-BOARD MATERIAL


Intended Use of

Material:


entertaining

To teach area concept in geometrical shapes

Materials

White cardboard

Graphics paper

Nail, rope

Wooden board

Paper, pen



HOW TO PREPARE?

1. Bang nails on wooden board as it consists of square areas of 1 unit as

in Visual-1.

2. Ask for pupils to make shapes they have drawn on graphic paper with

ropes on geometry board. Make them calculate area and perimeter of

shapes they have made. (Visual-1-3) Ask for them to comment.

3. Teach perimeter-area relations by creating different shapes from ropes

with the same length.


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COLOURED FRACTION WHIRLIGIGS MATERIAL

Subject It Is Related Fraction

Intended Use of

Material:


entertaining


Materials

Coloured ground-colour cardboards

Rope

Paper, pen

Scissors, Glue

Level

Nursery (aged between 3-6)



HOW TO PREPARE?

1. Draw a circle with 6 equal slices of circle on a white cardboard as in

Visual-1.

2. Glue by cutting ground-colour cardboards with different colours on

each slice of circle. (Visual-1)

3. After gluing circle slices make 2 holes at the center of the circle side by

side. By reeving from these holes tie the ends of the ropes. (Visual-2)

4. Try to turn the circle by holding the ends of the rope, pulling and

leaving them. (Visual-3)

Emphasise on fraction concept while designing this material with

pupils. This material will be colourful entertaining tool for pupils.


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CENTER OF GRAVITY WITH PLUMB MATERIAL


Intended Use of

Material:


entertaining

To teach center of gravity concept

To find center of gravity of complex shapes

To teach line concept

Materials Rope

Pen

An object to weight (screw, bolt, key…)

Level




Special Education

HOW TO PREPARE?

1. Tie weights like key, bol tor screw to the ends of ropes as in Visual-1.

2. Make them measure the smoothness of wall, cupboard by using these

plumbs in the class.

3. Tell them to hold the plumb they have made vertically from different

corners of the object to find center of gravity of any object. Tell them

to draw lines where rope passes. Indicate that the point where lines

intersect is center of gravity. (Visual-3)

In this way pupils can find centers of gravity of different shapes they

have drawn on paper. Make them find centers of gravity of triangular

rectangular and other geometrical shapes. (Visual-3)


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SIMPLE PROTRACTOR MATERIAL


Intended Use of

Material:


entertaining

To teach angle concept

To teach multiples of 30o

Materials

Paper, pen

Ground-colour cardboards

Acetate or transparent plastic panels

Compass


HOW TO PREPARE?

1. Draw a straight line to the bottom edge of ground-colour cardboard

with half A4 paper size. From the midpoint of the line as in Visual-1

draw a semi-circle with a compass.

2. Then draw an angle with 90o in the middle point. (Visual-2)

3. Divide quarter circle slices into 3 equal pieces. (Visual-2)

4. Write measures on pieces with ready number stickers.

5. Prepare a transparent protractor by making this operation on acetate.

(Visual-3)

Tell pupils to measure the angles of the objects or shapes in the class

or around.


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ZERO COUPLE MATERIAL

Subject It Is Related Addition and Subtraction with Whole Numbers

Intended Use of

Material:


entertaining

To teach addition and subtraction with whole

numbers

Materials Paper, pen

Ground-colour cardboards

Scissors



HOW TO PREPARE?

1. Cut circles representing zero from ground-colour cardboards and

divide them into two equal pieces. (Visual-1)

2. Semi circles as required are prepared by writing -1 and +1 on circle

pieces. (Visual-1)

3. Pupils are chosen from the class according to the operation written on

the board.

4. When pupils who represent -1 and +1 numbers come together they

create number 0 visually. (Visual-2)

5. Pupils who left alone show operation result to the class. (Visual-3)


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DECIMAL NUMBERS CUPS MATERIAL

Subject It Is Related Decimal Numbers

Intended Use of

Material:


entertaining

To teach decimal number concept

Materials Pen

Paper cups


Special Education

HOW TO PREPARE?

1. Numbers from 0 to 9 in big font size with equal spaces to very near of

paper cup brim. (Visual-1)

2. A comma symbol is written on one of paper cups. Decimal numbers

are made by putting paper cups one within the other. (Visual-2)

3. Different decimal numbers are made turning numbers on paper cups.

Tell your pupils decimal numbers verbally and make them do it with

paper cups.

Here by increasing and decreasing the number of cups decimal digit

concept can be taught.


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DIGIT VALUE CUPS MATERIAL


Intended Use of

Material:


entertaining

To teach digit concept

To teach digit value

Materials Paper

Paper cups

Level




Special Education

HOW TO PREPARE?

1. Make pupils write numbers near to a group of paper cup in big font

size

from 0 to 9

multiplies of 10 from 10 to 90

multiplies of 100 from 100 to 900.

2. Tell your pupils numbers with 3 digits and put paper cups one within

the other according to digits. (Visual-2-3)

You can make operations by writing digits on paper cups in groups. By

turning numbers on paper cups different numbers can be made. When

paper cups are lifted light digit values of numbers are read.

The number of digits can be increased by increasing and decreasing the

number of paper cups.


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EQUIVALENT FRACTION MATERIAL

Subject It Is Related Factions

Intended Use of

Material:


entertaining


To teach equivalent fraction concept

Materials Pen, ruler

Coloured cardboards

Scissors

Level

Special Education

Primary (age between 6-10)


HOW TO PREPARE?

1. Make fractions as an example given below as in Visual-1.

2. Make your pupils prepare equivalent fractions with fraction cards in

their hands by telling them different fractions. (Visual-2-3)


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CALCULATION SERIES MATERIAL

Subject It Is Related Addition and Subtraction

Intended Use of

Material:


entertaining

To teach addition and subtraction

Materials Rope and plenty of beads

Paper, pen

Level

Special Education



HOW TO PREPARE?

1. Prepare addition and subtraction operations with numbers with

single digit for pupils.

2. Make them find the result by stringing beads according to the

operation given as in Visual-2-3.


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DECIMAL SCROLL BAR MATERIAL

Subject It Is Related Decimal Fractions

Intended Use of

Material:


entertaining

To teach multiplying and dividing decimal

numbers with multiplies of 10

Materials

Paper

Pen

Scissors

Glue



HOW TO PREPARE?

1. Distribute the template as in Visual-1 prepared before to your pupils.

2. Cut the template from pointed places on its edges and make a box

shape by folding from horizontal lines. Take out black parts by

cutting. (Visual-2)

3. Distribute to your pupils number stick cards prepared before. Put

number stick cards into the boxes prepared before and scroll to right

and left.

0 0 0 0 0 8 2 9 0 0 0 0 0

0 0 0 0 0 3 5 1 0 0 0 0 0

0 0 0 0 0 7 4 3 6 0 0 0 0

4. Make pupils find questions about multiplying and dividing decimal

numbers with multiples of 10 by using scroll bar in their hands.

(Visual-2)

5. Scroll number stick to the left in multiplication, to the right in

division.


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AREA METHOD MATERIAL

Subject It Is Related Algebraic Expressions

Intended Use of

Material:


entertaining

To make pupils comrehend operations with

algebraic expressions

Materials

Paper

Coloured pens

Coloured papers

Scissors


HOW TO PREPARE?

1. Make 2 paper rulers with different lengths by using coloured papers

representing x unit and y unit length to point out variables. (Visual-1)

2. Give an algebraic expression like to your pupils.

Make them find this expression by drawing a rectangular and

calculating its area. (Visual-1)

3. expression forms an edge of the rectangular

expression forms its other edge. First unit length and above length

with 2 cm are drawn. Later rectangulars are made by drawing length

with 3 cm above unit length. (Visual-2-3)

4. If the areas of rectangulars are added by calculating you get the

expansion of expression.

Many calculations can be made with area way by diversifying

algebraic expressions.


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INTERIOR ANGLES OF TRIANGLE MATERIAL

Subject It Is Related Triangles

Intended Use of

Material:


entertaining

To teach total measure of interior angles of a

triangle

Materials

Paper

Pen

Ruler

Scissors

Level

Special Education



HOW TO PREPARE?

1. Cut by drawing a big regular triangle on a paper.

2. Draw angles in corners of drawn triangular with a pen. (Visual-1)

3. Later turn triangle into rectangular by folding corners of triangular as

in Visual-2 as they will all be together.

4. Angles drawn in the corners of triangular make an angle of 180o by

completing each other. (Visual-3)


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SYMMETRY MATERIAL

Subject It Is Related Symmetry

Intended Use of

Material:


entertaining

To teach symmetry concept

Materials

Paper

Coloured pens

Ruler

Scissors

Clip or pins

Level

Special Education



HOW TO PREPARE?

1. Symmetric shapes as in Visual-1-2 are prepared by teacher.

2. Shapes drawn from symmetry axis are folded.

3. A pin or a clip is stuck on any point on the shape.

4. It is shown that the pin needles the same point in its symmetry by

opening folded shape. It is emphasized that these points are far

equally to symmetry axis. (Visual-3)

5. Make pupils prepare symmetric shapes like these. Make them

measure to needle the same point.


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PRIME AND COMPOSITE NUMBERS MATERIAL


Intended Use of

Material:


entertaining

To teach prime number and composite number

concepts

To teach subtraction

Materials

Paper

Coloured pens

Ruler

Scissors



HOW TO PREPARE?

1. Many visuals as apple, flower, heart shapes are prepared by teacher.

2. Multiplication envelopes are prepared. Any of multiplication

operation is written on the envelope. Flower or apple shapes are put

in the envelopes as the result.

3. Also a result table is prepared. The result of multiplication in result

boards is represented as the multiplication of prime numbers.

4. Multiplication envelopes are distributed to pupils. (Visual-1)

5. Score tables are also distributed closed to pupils. (Visual-1)

6. Pupils calculate multiplication on the envelope and express the result

by using cards in their hands as the multiplication of prime numbers.

(Visual-2)

7. Then result cards distributed closed to pupils are opened. Pupils

compare their own operations with result cards in front of them.

(Visual-3). Operations repeat until the concept of prime number and

composite number are learnt.


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SUBTRACTION WITH ALGEBRAIC EXPRESSIONS

MATERIAL

Subject It Is Related Subtraction with Algebraic Expressions

Intended Use of

Material:


entertaining

To teach subtraction with algebraic

expressions

Materials Paper

Coloured pens

Scissors


HOW TO PREPARE?

1. Cards whose plenty of areas are with prepared by teacher.

(Visual-1)

2. Give an algebraic expression like to your pupils.

Make pupils find this expression by calculating with the way of

completing to rectangular or square by using area cards in their

hands. (Visual-2)

3. expression is one of the edge of the rectangular and

expression is the other edge.

4. If the area of the shape is added by calculating you get expansion of

expression.


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SUBTRACTION OF FRACTIONS MATERIALS


Intended Use of

Material:


entertaining

To teach subtraction with fractions

Materials

Paper

Coloured pens

Acetate paper (Transparent paper)

Scissors

Level



Special Education

HOW TO PREPARE?

1. Prepare different fraction models from acetate paper and cardboard.

Divide some of the fractions vertically, some of them horizontally.

Shapes of all models must be the same. (Visual-1)

2. Put two models-one of them from acetate paper- one after the other

one of them is vertical and the other is horizontal. In this way you will

model multiplication of these two fractions. (Visual-2-3)

3. Intersection area gives the multiplication of these two fractions.


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MULTIPLIER, DIVISOR, PRIME NUMBER BOARD

MATERIAL


Intended Use of

Material:


entertaining

To teach multiples of a number

To teach prime numbers

To teach divisors of a number

Materials

Paper

Pen

Acetate paper (Transparent paper)

Scissors


HOW TO PREPARE?

1. Prepare a table on a paper with numbers from 1 to 100. (Visual-1)

2. Cut small pieces from transparent paper. You will use these to put on

multiples of multipliers. (Visual-1)

3. Use different transparent paper for each of them to find common

multiples of two numbers e.g. to find common multiples of 5 and 7

put yellow transparent pieces on multiples of 5, red transparent

pieces for multiples of 7. Numbers which are their common multiples

will be seen orange. So pupils can easily notice common multiples.

(Visual-2-3)

You can apply the same thing for common divisors. Ask for pupils to

close multiples of 2,3,5,7, etc. to find prime numbers. Remained ones are

prime numbers. (Do not forget to emphasize 2, 3, 5 and 7 are prime

numbers!)


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ABSOLUTE VALUE RULER MATERIAL

Subject It Is Related Numbers-Absolute Value

Intended Use of

Material:


entertaining

To make pupils comprehend absolute power of

a number

Materials

Paper

Pen

Ruler

Scissors


HOW TO PREPARE?

1. Make a big ruler model from cardboard.

2. Make a hole on the place where there is 0 in the middle of number

line.

3. Thread a rope from the hole and tie it as it can reach to both negative

(-) and positive (+) parts.

4. You can measure and compare absolute powers of positive and

negative whole numbers with the help of the rope.


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MIXED FRACTION-COMPOUND FRACTION MATERIAL


Intended Use of

Material:


entertaining


To make pupils comrehend mixed and

compound fraction

Materials


Pen

Ruler

Scissors


HOW TO PREPARE?

1. Prepare 24 mixed fraction number cards and color print them.

(Visual-1)

2. Prepare 24 compound fraction number cards and color print them.

(Visual-1)

3. Cut mixed and compound fraction papers as card shape and cover

them with press (pvc). (Visual-2)

4. Group pupils.

5. Distribute mixed and compound fraction cards to pupils randomly.

6. Make pupils match cards. (Visual-3)


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EXPONENTIAL EXPRESSIONS PUZZLE MATERIAL

Subject It Is Related Exponential Expressions

Intended Use of

Material:


entertaining

To make pupils comprehend exponential

expressions

To teach operations with exponential

expressions

Materials


Pen

Ruler

Scissors


HOW TO PREPARE?

1. Draw a regular hexagon with one of the edge 11,5 cm to ground-colour

cardboard.

2. Draw 24 equilateral triangular with one of the edge 5,5 cm in this.

3. Prepare operations about exponential numbers completing each other

in equilateral triangulars.

4. Cut equilateral triangulars making regular hexagon prepared.

5. Cover triangles with pvc.

6. Copy hexagon crossword for each pupil and distribute triangles

randomly.

7. It is necessary for pupils to make hexagon right again by matching

exponential numbers near triangle.


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“HOW MANY ARE THERE IN THE BOX?” MATERIAL

Subject It Is Related First-degree Equations

Intended Use of

Material:


entertaining

To make pupils comprehend solving a first-

degree equation

Materials

Coloured ground-colour cardboard

Glue

Pen

Ruler

Scissors


HOW TO PREPARE?

1. Make small boxes as cube shape with open mouth with edges 4 or 5

cm in size. (Visual-1)

2. Cut small pieces at least 20 from cardboard.(Visual-1-2)

3. Draw an equality symbol on a paper and use it as equality ground.

(Visual-2)

For example;

Let pupils make equality on equality ground by using a cube for each

x, a piece of cardboard for each number for question. They calculate

how many pieces must be in a cube according to this equality. (Visual-3)


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ANGLE INDICATOR MATERIAL

Subject It Is Related Angles

Intended Use of

Material:


entertaining

To reinforce angle concept

To teach angle measuring

Materials


Glue

Pen

Ruler

Scissors


HOW TO PREPARE?

1. Cut paperboard, yellow and red cardboards as semi circles with radius

with 20 cm. (Visual-1)

2. Glue a slice of semi-circle from yellow cardboard on paperboard.

3. Glue by cutting a print including angle measures from 0° to 180°

(protractor) on yellow cardboard.

4. Engage red cardboard to yellow cardboard with machine screw.

(Visual-3)

Make pupils read angle measures by moving red cardboard on yellow

cardboard. It will be easier for pupils to understand angle concept.


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MAGICAL AXIS MATERIAL

Subject It Is Related Angles

Intended Use of

Material:


entertaining

To reinforce angle concept

To teach angle measuring

Materials


Glue

Pen

Ruler

Scissors


HOW TO PREPARE?

1. Cut paperboard and checked paper with one of the edge 50 cm in size

as a square.

2. Glue checked paper cut onto paperboard.

3. Cut thin stripes from white cardboard to make axis. Make values of X

and Y axis by writing. Glue these axis on cardboard to make coordinate

system.

4. Glue print of protractor from 0° to 360° .

5. Prepare a stripe in the shape of an arrow from coloured cardboard.

(Visual-1)

6. Engage the arrow to the origin of the shape with the help of a machine

screw.

7. Prepare square, rectangular and triangular geometrical shapes by

using coloured cardboards. (Visual-2)

8. Prepare a symmetry mirror. Help pupils display symmetries of these

shapes with this mirror. (Visual-3)


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PUPPETS FROM TANGRAM MATERIAL

Subject It Is Related Polygons

Intended Use of

Material:


entertaining

To make pupils realize the relation between

maths and art

To teach polygons

To make pupils calculate circles of polygons

Materials Tangrams

Coloured cardboards, Glue, Scissors, Pen

Level




Special Education

HOW TO PREPARE?

1. Teacher introduces tangram game in the class. Each geometrical

shape’s features of tangram parts are discussed with pupils. A few

figures are created from tangram with pupils like running man, cat,

numbers. (Visual-1)

2. Each pupil chooses his/her figure from tangram by making different

shapes and turns it into a puppet from cardboard. After each pupil

finishes his/her puppet in the class, pupils are grouped among

themselves.

3. Each group makes a presentation one week later by designing a text

related to maths and a stage suitable for this text.

4. Lastly a report is asked from each group related to their own work. In

the report pupils are asked for to present;

drawing of each puppet and features of geometrical shapes used,

perimeter of puppet

The draft of the stage designed and geometrical shapes used in

making stage. (Visual-3)


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LOLLIPOPS MATERIAL


Intended Use of

Material:


entertaining

To teach numbers

Materials

Coloured cardboards

Glue

Scissors

Pen



HOW TO PREPARE?

1. Teacher prepares visuals as lollipops which represents numbers from

1 to 10, consisted from many shapes from coloured cardboards as in

Visual-1.

Similarly number lollipops from 1 to10 are prepared as in Visual-2.

2. Pupils are shown lollipops with shapes to pupils. Pupils give answer

by raising number lollipops in their hands.

3. Pupils who give right answer are awarded with candy lollipops by

teacher.


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102

DIGITAL NUMBERS MATERIAL


Intended Use of

Material:


entertaining

To teach numbers

Materials

Coloured cardboards

Glue

Scissors

Pen



HOW TO PREPARE?

1. Number cards from 1 to10 as in the Visual-1 are prepared by using

coloured cardboards.

2. The surface of numbers are covered with products like rice, wheat,

semolina.

3. Pupils are asked to close their eyes.

4. Number cards are distributed to pupils and they are asked to guess

numbers by touching them with their fingers.

5. Pupils who give right answer are awarded by teacher.


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104

COMPASS OF RATIOS MATERIAL

Subject It Is Related Numbers, Relation and Functions

Intended Use of

Material:


entertaining

To teach ratio, proportion and similarity

concepts

To reinforce function concept

Materials

Coloured cardboards

Pin

Scissors

Paper and pen


HOW TO PREPARE?

1. Make your pupils prepare 2 stripes 60 cm in length, 4 cm in width.

Make them cut stripe ends as arrow shape. (Visual-1)

2. Write A to one of the end of the first stripe, AI to the other end. Write

B to the end of the second stripe, BI to the other stripe. Determine

midpoints of stripes as O center.

3. Write 1, 2, 3, and 4 points by pointing according to measures below.

These are points which will be used to tie stripes with a pin to each

other.

Fixing points

AO length (cm)

AIO length

(cm) AO +A

IO=AA

I

length (cm) AO/A

IA

ratio A

IO/A

IA

ratio

1 30 30 60 ½ 1/2

2 20 40 60 1/3 2/3

3 15 45 60 ¼ 3/4


105

4. Make stripes according to the template below. 1, 2, 3, 4 and 5 points

are connection points.

5. First attach stripes from 1 connection point with a pin. Then open the

distance between A and B points shown below as 2 cm by using a

ruler. Write the distance between AI and BI points to the table by

measuring. And then write AIBI/AB ratio to the table also by

calculating. Later open the distance between A and B points as 3cm

and write AIBI distance in the same way to the table by measuring.

(Visual-2)

Connection points

AB length AIB

I length A

IB

I/AB ratio

1 2 cm

1 3 cm

2 2 cm

2 3 cm

3 2 cm

3 3 cm

4 2 cm

4 3 cm

6. Later compare by attaching stripes from 2, 3, and 4 points in turn

with a pin and measuring AB and AIBI. (Visual-3)

4 12 48 60 1/5 4/5


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107

I LOVE TO PLAY MATHS!

Fibonacci Numbers


108

FIBONACCI GOLDEN RATIO SPIRAL MATERIAL

Subject It Is Related Polygons

Intended Use of

Material:


entertaining

To make pupils realize the relation between

maths and art

To teach polygons

To teach Golden ratio and Fibonacci Spiral

Materials Coloured cardboards

Glue, Scissors, Pen

Compass


HOW TO PREPARE?

Fibonacci number sequence is as 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233,

377, 610, 987... The feature of Fibonacci sequence is that the total of two

successive numbers before itself equals to the number after it. The ratio of 2

successive numbers in Fibonacci sequence approaches to Golden Ratio (1,618)

as numbers become larger.

1. Cut cardboards from coloured cardboards as dimensions below. (Visual-

1)

1X1 cm sized square: White cardboard

1X1 cm sized square: Blue cardboard

2X2 cm sized square: Yellow cardboard

3X3 cm sized square: Blue cardboard

5X5 cm sized square: Orange cardboard

8X8 cm sized square: Green cardboard

13X13 cm sized square: Brown cardboard

21X21 cm sized square: Light blue cardboard

2. Draw an arc as it combines vertexes on diagonal as the vertex of each

square is accepted as center. Cut squares from drawn arches. (Visual-2)

3. Glue these squares cut to cardboard as in Visual-3.


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I love to play Maths!