Primary

Mathematics and Numeracy

Interactive Teaching Programs

005187

Online Tutorials
Interactive Teaching Programs (ITPs)
^{This page supports you in utilising the Independent Teaching Programmes. These programs have been developed by the Primary National Strategy to provide simple ICT-based images to support modelling, demonstration and exploration of mathematics.}

^{The complete list of all 32 ITPs available together with copies that you can download and use on any computer is available in the Library of the Primary framework for literacy and mathematics.}

^{All Maths Videos}

Ordering Numbers
^{Ordering numbers is an interactive teaching program (ITP) which shows how a number line can be developed from a row of 10, 20 or 100 counters. It behaves like a short film. The film is in four stages. You can pause at the end of each stage. The ITP can be used to help children to understand how a number line relates to discrete object placed in a row and to support their counting and recording skills. Using the different sequences the number line image can be developed to increase the interval between numbers and to support addition and subtraction activities moving from the counters to the number line.
Ordering Numbers Guide}

^{Number facts.exe I Number facts.swf}

Polygon
^{Place value is an interactive teaching program (ITP) which displays regular polygons with 3 to 10 sides. A background grid can be revealed and hidden and the displayed polygon can be enlarged using the pointers on the polygon button. The polygon can be translated and rotated. A vertex on the polygon can be dragged to another position to change its shape and properties. Double clicking on a vertex allows you to add remove the vertex or to add an extra vertex at the mid point of an adjacent side. You can use the ruler or protractor to measure dragging it and using the circular button to rotate it to the required position.
Polygon}

^{Polygon.exe I Polygon.swf}

Ruler
^{Ruler is an interactive teaching program (ITP) which displays an on-screen ruler you can use to measure lines and the sides of shapes. There is a choice of rulers and five screens to use to demonstrate measuring length. You can draw your own lines and shapes or select those that are available on the ITP. The ITP can be used to demonstrate how to use measure using different rulers. The ITP can be used to compare lengths and the perimeters of shapes and to support children’s understanding of scale.
Ruler Guide}

^{Ruler.exe I Ruler.swf}

Symmetry
^{Symmetry is an interactive teaching program (ITP) which displays a grid, which has a 'mirror' in the middle. The mirror can be set to a horizontal, vertical or diagonal orientation and then adjusted by dragging it around a central point. Squares on the grid can be highlighted in yellow and the shape created can be moved to a new position on the grid. The reflection of these highlighted squares can be shown in blue, or hidden, with the mirror fixed or while the mirror is being rotated.
Symmetry Guide}

^{Symmetry.exe I Symmetry.swf}

Multiplication Grid
^{Multiplication grid is an interactive teaching program (ITP) which allows you to set up a multiplication grid to demonstrate the grid method of multiplication for whole and decimal numbers. The grid size can be changed to accommodate different calculations. The calculation is defined at the bottom of the screen by changing the digits using the hidden pointers. Decimal points can be inserted by clicking between two adjacent digits. The numbers are partitioned and the respective components in the calculation revealed and hidden by clicking on the ? in the cell.
Multiplication Grid Guide}

^{Multiplication grid.exe I Multiplication grid.swf}

Number Grid
^{Number grid is an interactive teaching program (ITP) which generates a 100 square. Choose a colour or the grey mask. You can then click on individual cells to hide or highlight them in different colours, and by clicking on the box at the left-hand foot of the grid and using the pointers you can hide or highlight rows and columns. The prime numbers and multiples can also be highlighted.
Number Grid Guide}

^{Number grid.exe I Number grid.swf}

Grouping
^{Grouping is an interactive teaching program (ITP) which allows you to display up to 30 counters or shapes on the screen. You then select a number to be the divisor in a division calculation. A number line displays the number to be divided. As individual counters or shapes are clicked and dragged to form a group the size of the divisor, they change colour. Once a group equal to the divisor is selected, it 'jumps' to the number line.
Grouping Guide}

^{Grouping.exe I Grouping.swf}

Measuring Scales
^{Measuring scales is an interactive teaching program (ITP) which allows you to add different masses to or from a scale pan. You can add masses of 1, 2, 5, 10, 50, 100 and 500 units. The pointer or hand shows the total mass. This can be hidden to promote children’s prediction skills. The maximum value of the circular scale can be changed together with the size of the interval. A digital readout can also be hidden or displayed. A red marker can be used to keep a track of previous values and to set target quantities.
Measuring Scales Guide}

^{Measuring Scales.exe I Measuring scales.swf}

Number Dial
^{Number dials is an interactive teaching program (ITP) which generates a number dial. The empty boxes around the outside of the dial contain multiples, the number in the centre multiplied by the corresponding multipliers around the inside edge of the dial. To reveal and hide the number at the centre, click on it or the box with the two pointers. To reveal and hide each multiple, click on the box. To reveal and hide all multiples, click on the box with ?. To reveal and hide all multipliers, click on the box with the dial. You can change the centre number to a single digit in the range 2 to 9, a multiple of 10 from 10 to 90, and to a decimal 0.1to 0.9.
Number Dial Guide}

^{Number dials.exe}

Place Value
^{Place value is an interactive teaching program (ITP) which displays on-screen place value cards to construct and partition three-digit whole numbers. Once the cards are created they can be deleted clicking on the cross in the top left hand corner. By clicking on the number, a card can be dragged around the screen and repositioned. You can have one or two sets of cards on the screen at a time. The value of each place value card is determined using the respective button at the bottom of the screen.
Place Value Guide}

^{Place value.exe I Place value.swf}

Measuring Cylinder
^{Measuring cylinder is an interactive teaching program (ITP) which allows you to control two taps that pour a liquid in and out of a measuring cylinder. You can set the scale on the cylinder to a maximum of 50, 100, 200, 500 or 1000 units and the scale interval to 1, 2, 5 or 10 units. You can simply turn the taps on and off and ask questions that involve prediction, addition and subtraction. Using the inlet and outlet controls to set the amount of liquid to pour in and out of the cylinder offers the opportunity for the introduction of multiplication (repeated addition) and division (repeated subtraction) too. A marker can be set to indicate an early quantity.
Measuring Cylinder Guide}

^{Measuring cylinder.exe I Measuring Cylinder.swf}

Fractions
^{Fractions is an interactive teaching program (ITP) which allows you to divide a green strip into a number of equal parts and colour the individual parts in yellow. You can label the strip to show what proportion the coloured yellow parts are of the whole strip. This can be shown as a vulgar fraction, decimal (to 3 decimal places) or percentage. The ratio of yellow to green can also be displayed. You can create more then one strip and drag these up and down the screen to compare strips.
Fractions Guide}

^{Fractions.exe I Fractions.swf}

Moving Digits
^{Moving digits is an interactive teaching program (ITP) which allows you to demonstrate the effect of multiplying and dividing by 10 and 100. By dragging cards from the set of digit cards, different decimal numbers can be displayed. These decimal numbers can be placed in either of the two middle rows. The cards in the first row move when the multiply or divide buttons are selected. The cards will not move if the result is greater than 99 999 or less than 0.01. The cards in the second row do not move in order to highlight the shift in the digits when multiplying or dividing.
Moving Digits Guide}

^{Moving digits.exe I Moving digits.swf}

Number Spinners

^{Number spinners is an interactive teaching program(ITP) which generates random numbers using ‘spinners’ with 3, 4, 5 or 6 sides. Using the pointers on the numbered button, you can create one, two or three spinners at a time. The pointers on the shape button allow you to select the number of sides. Once this has been determined, click on the shape in the button to display the spinners. By clicking on the centre point of a spinner the spinner will spin to generate a random number identified by the arrow.
Number Spinners guide}

^{Number spinners.exe I Spinners.swf}

Number Facts
^{Number facts is an interactive teaching program (ITP) which displays up to 20 coloured counters and the corresponding addition sentence. The number of counters you select, appear on the screen in purple. Click on any counter to change its colour, the number sentence also changes. To hide and reveal the number sentence, click on the box with the question marks. You can replace a number in the number sentence with a question mark by clicking on the number, and drag counters around the screen to form groups.
Number Facts Guide}

^{Number facts.exe I Number facts.swf}

Twenty Cards
^{Twenty cards is an interactive teaching program designed (ITP) which creates stacks of numbered cards and individual cards. Cards appear face down. They can be moved around the screen with or without the help of a hidden grid, ‘turned over’ to display the card’s number and deleted. Cards can be sequenced or generated as a random set, to include whole numbers, decimals or fractions.
Twenty Cards Guide.doc}

^{Twenty cards.exe I Twenty cards.swf}

Counting On/Back
^{Counting on and back is an interactive teaching program (ITP) which simulates a 100-bead string. You can move all the beads to the right of the string and move individual or groups of beads to the left side of the string by clicking on selected beads.
Counting on and back Guide}

^{Counting on and back.exe I Counting on and back.swf}

Differences
^{Difference is an interactive teaching program (ITP) which allows you to compare two rows of beads and to analyse the calculations they can represent. It can be used to promote the language of addition and subtraction, particularly the interpretation of difference. The ITP operates as a series of animations which show how the rows of beads can be represented by two number lines and then as a single number line with the difference indicated by a 'jump'.
Difference Guide}

^{Differences.exe I Differences.swf}