Multiplication Tables

Generating multiples by repeated addition

Numeracy Focus Properties of numbers and number sequences.
 Learning Objectives
  • To appreciate that multiplication can be viewed as repeated addition.
  • To understand how a spreadsheet can generate number patterns.
  • To be able to represent number patterns using algebra.
Resources Large display or OHP with transparencies - see earlier plan.
Calculators for comparison. Master spreadsheet for recording. Simplified sheet for support.
Key vocabulary Repeated addition, multiple, pattern of multiples
Revision /
oral

Point to individual cells and ask the class to give the reference. Ensure that pupils read the letter along the top then the number down the side.

Enter a number - how can we change it? Remind them how to enter a formula. Emphasise the importance of the equals sign. The cell reference may be entered by clicking on the cell. Ask pupils to predict what will happen if the 'start' number is changed.

Main activity

Demonstrate how we can make the 2 times table. We start with 2, then make a new value in the cell below by adding 2 to the number above. This is done repeatedly.

Emphasise the importance of using a starting number, and the fact that multiplication is repeated addition. Demonstrate how to drag the right hand bottom corner of the cell to copy the formula down.

Get each pupil to write onto the master spreadsheet the formula to make the table, and then complete the table with the answers. Repeat for the three times table.

Support Check for misunderstandings. Talk through the key idea of repeated addition: 4 is 2 plus 2, 6 is 4 plus 2, and so on. Try it on a calculator: add 2 to a number, then press 'equals' repeatedly to reiterate.
Give pupils the simplified sheet, on which a start has been made. On the computer, do not rush into copying. Give pupils time to build each formula, and talk it through.
Extension On paper: make other tables, as above.
On the computer: once pupils have grasped the idea of copying down a column, they will be able to generate other tables rapidly. Ask them to predict how the cell reference will change as it is copied down the rows.
Plenary

Let each group show their work to the rest of the class and explain what they did to construct the multiplication tables. Discuss any problems or issues that arose. Re-emphasise the key points of cell reference, choice of a start number and the use of the equals sign.

Before the next session, arrange for pupils to spend 15/20 minutes on the computer in groups of 2 or 3, making their own multiplication tables. Select suitable tables for each group’s abilities. Prime them to look for other patterns in their results.

 
   
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