Square and Cubed Numbers - Vantage Education

[Pages:1]Square and Cubed Numbers A squared number is a number multiplied by itself and a cubed number is a number multiplied by itself three times. Exercise Once Ask the children to list all the squared numbers up to 100 and all the cubed numbers up to 100. To work this out the children should times a number by itself once to get a square number, then times it again by itself to get a cubed number. For instance Squared Numbers: 1,4,9,16,25,36,49,64,81,100 Cubed Numbers: 1,8,27,64 We notice from the list that 64 is both a squared and a cubed number because 8 times 8 is 64 and 4 times 4 times 4 times 4 is 64. A calculator is not needed for this activity. Exercise Two Now that we know what numbers are squared and cubed numbers we can begin to visualise them by using math link cubes. Put the children into pairs and given them a set of math link cubes. One child must make a square number with the cubes and the other child must work outs its square route. For example, if a child puts 16 blocks together the other child would have to work out what number is used to make 16 in this case it would be 4.

These are the cubes which will be used for this activity. Extension Exercise Now for a more challenging activity. For those children who understand squared and cubed numbers and what numbers are used to create them, they can begin to solve problems involving squared and cubed numbers. The children are given a sheet of paper with the square route of numbers timed together. The children have to work out the answer to the problem but write the answer in its square route form. For example. 22 x 32 = 62 4x9=36 This is what the children's work sheet would look like the top equation is in the square root form and the children must show their working out underneath by writing the squared numbers. The children may use a calculator to help them.

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