Primary National Strategy - Interactive Teaching Programs


Calculating angles
Counting on and back
Data handling
Decimal number line
Division Grid
Fixing points
Isometric grid
Line graph
Measuring cylinder
Measuring scales
Moving digits
Multiplication facts
Multiplication grid
Number dials
Number facts
Number grid
Number line
Number spinners
Ordering numbers
Place value
Remainders after division
Tell the time
Twenty cards

Remainders after division

This ITP sets up an empty grid into which you can place counters. Counters can be added singly, working from the first empty top left-hand corner cell, or in bulk clicking on a cell in the final row. As each column is completed it is numbered. The division calculation representing the number of highlighted counters divided by the number of rows can be revealed and hidden using the equals sign button. The answer appears when the equals sign in the calculation is clicked. Any remainder can also be shown as a fraction. In the example, below, there are 17 counters in a grid with 5 rows. Three columns are completed and there are 2 counters in the incomplete column. The displayed result will be:

17 ÷ 5 = 3r2 or 17 ÷ 5 = 32/5

Removing or highlighting extra counters will change the calculation displayed.

Run this ITPRun Remainders after division 0.6
remainders after division controls

The ITP can be used to demonstrate division as grouping, and to develop children’s understanding of remainders and the notation for division. Keeping the number of counters fixed but changing the number of rows demonstrates the effect of changing the divisor in the calculation. Children can explore the effect different divisors has on the remainder and they can look for division calculations whose remainders satisfy particular properties.

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