MATHEMATICS

We have found multiples pages about ICT in mathematics for primary
education. Through these pages children may learn the contents easily and
they can solve their doubts.

NATURAL NUMBER AND NUMERATION SYSTEMS
Vertical abacus: http://nlvm.usu.edu/en/nav/frames_asid_209_g_1_t_1.html?
open=activities&from=category_g_1_t_1.html

With this manipulative, you can represent place value and exchanges in base 2, base 5, or base 10. Set the
desired base with the up and down arrow buttons below the workspace. Chips in columns then represent units (1), bases (2, 5, or 10), and base-squared (4, 25, or 100), as indicated by the numbers at the top of each column.

Note that chips can be dragged within a column but not from one column to another.
• Add chips
• Remove chips
• Exchange chips
Add chips

Click on the button at the top of a column to add color-coded chips (yellow for units, green for bases, blue for base-squareds).

Remove chips
Hold down the Shift key and click on a chip to remove it.

Exchange chips
When you have enough yellow chips to equal the base (5 in base 5, for example), you can exchange them for a single green chip (representing 5) by clicking on the left-arrow between the columns.
Similarly, with enough green chips in the base-column, you can exchange them (using the left-arrow) for a single blue chip in the base-squared column.
Right-arrows make exchanges in the opposite direction, say, in base 5, a blue chip for 5 greens or a green for 5 yellows.

Arrows only become active (shown as black) when an exchange is possible. Thus, in base 10, when you have 10green chips in the middle column, two arrows are active, so you can exchange all 10 for a single blue chip (left arrow), or exchange one green for 10 yellows (right-arrow)

MULTIBASE BLOCK:
Base blocks consist of individual "units," "longs," "flats," and "blocks" (ten of each set for base 10). They can be used to show place value for numbers and to increase understanding of addition and subtraction algorithms.
• Enter base block pieces
• Set the base and number of decimal places
• Representing numbers
• Exchanging and grouping pieces
• Show problem and next problem

Enter base block pieces
Click on the blue icons at the top of each column to enter units, longs, flats, or blocks.
Set the base and number of decimal places
You can work with base blocks for any of the bases 2, 3, 4, 5, or 10. The default setting is base 10. Click
the up or down arrow buttons to change the base. All problems and numbers are represented in the base
shown. The default is whole numbers (no decimals shown), but changing the number of decimal places
changes the meaning of each column. Thus with Dec. place = 1, the right-most column represents the
number of tenths (in base 10), etc.
Representing numbers in the selected base
The number represented by the entered base blocks is automatically updated and shown at the left of the
workspace. If you move base blocks into a wrong column, say a long in a flat column, or if there are too
many blocks in a column to represent a number in the specified base, then the number representation at
the left is blanked out. It reappears when you make changes that define a number.
Exchanging and grouping pieces
You may drag a base block into a column to the left or back to its appropriate column, but when you move
a block one column to the right, it breaks apart to show that you have made an Exchange (as, for example,
a 10-long is exchanged for ten units, or a 5-flat is exchanged for five 5-longs). To group pieces to make an
exchange the other direction, click and hold the mouse key down while dragging a rectangle to "lasso" the
pieces. Thus, in base 5, you can "lasso" five units to make a long piece or you can lasso five flats to make
a block. The newly grouped object can then be dragged into the next column.
Show problem and next problem

Click the Show Problem button to be given an exercise in the specified base. There are two types of
exercises, those that ask you to enter base blocks to represent a particular number, and those that ask you
to rearrange the given blocks to represent a number.

ARITHMETIC

http://nlvm.usu.edu/en/nav/category_g_1_t_1.html

ALGEBRA

http://nlvm.usu.edu/en/nav/topic_t_2.html

 VIDEO ON ADDITION STANDARD ALGORITHM:

https://www.khanacademy.org/math/arithmetic/addition-subtraction/addition_carrying/v/addition-4?playlist=Arithmetic

   GEOMETRY

   GEOGEBRA 

   

   http://www.geogebra.org/cms/en/

   

   

    VIRTUAL GEOBOARD

A physical geoboard is a board with nails hammered into it. Shapes are created by stretching elastics around the nails.

Using this virtual manipulative you may:

• Add a geoband to the board

• Connect a geoband to additional pegs

• Remove a geoband from a peg

• Remove a geoband from the board

• Make closed shapes

• Make open shapes

• Color the area inside of a geoband

• Clear the geoboard

• Measure perimeter and area

Add a geoband to the board

1. Click and hold down the mouse button on the geoband button near the top left corner of the geoboard.

A geoband will appear under your mouse.

2. Drag the geoband to a peg and release the mouse button.

The top part of the geoband will attach to the peg.

3. Move a geoband to a different peg by clicking and dragging the top half of it.

4. Attach the other end of the geoband to another peg by clicking and dragging the lower half of it.

Connect a geoband to additional pegs

1. Click and hold the mouse down on the midpoint of the geoband.

A new point will appear on the geoband.

2. Drag the point to the peg you want to attach it to.

3. Release the mouse button.

The geoband will be attached the peg.

Remove a geoband from a peg

1. While holding the Shift key down on your keyboard, click on a peg that a geoband is attached to.

The geoband will be removed from the peg.

Remove a geoband from the board

1. Click on a geoband.

2. Click the Delete button or press theDelete key on your keyboard.

The geoband will be removed from the board.

Make closed shapes

A closed shape is one for which the ends of all sides connect to other sides. To create one:

1. Use one geoband connected to three or more pegs.

Make open shapesAn open shape is one for which ends of at least one side does not connect to other sides. For example: a line, 

angle, or multiple angles. To create one:

1. Use one or more geobands to create a shape where the ends do not meet.

Color the area inside of a geoband

1. Select the shape to color by clicking on one of its sides or corners.

The sides of the shape will turn blue to indicate that the shape is selected.

2. After selecting a shape is selected, click on one of the colors in the pallete to the left of the geoboard.

The color of the selected shape will change to the color that you clicked on.

Clear the geoboard

1. Click the Clear button. All geobands will be removed from the geoboard.

Measure perimeter and area

1. Click the shape to measure.

2. Click the Measures button.A text area will be displayed giving measurement information for that shape.

GEOMETRIC TRANSFORMATIONS OF PLANE FIGURES AND SPATIAL VISUALIZATION

ISOMETRIES http://www.youtube.com/watch?v=Oa-72NDu8MY

Geometric transformations/movements in the plane

Rigid transformations/movements in the plane

Transaltion, Rotation, Reflection

GEOGEBRA (TRANSLATION)

http://www.geogebratube.org/student/m7228

REFLECTION SYMMETRY

One figure has reflection symmetry if there is a line that divide the figure

in two parts in a way that one part can be obtained by reflection the 

other part using the line as reflection axis.

http://www.mathsisfun.com/handle-404-sorry.php?uri=%2Fgeometry%2Fsym&ref=