Number Patterns

Lesson Note
Class : Grade 8
Topic: Number Patterns
Learner Objective

At the end of the lesson students will be able to find a patten for multiplication of numbers using the digt one.
Do Now:
Multiply 1) 134 * 8
2) 53*12
Motivation:We know that to multiply two numbers we will have to either use the knowledge of the Multiplication table or the calculator
But the recognition of patterns will give us aquicker way of getting an answer.
Cooperative activity:

In your groups try to find out the product of
Step 1.

1) 1*1
2) 11 *11
3) 111*111

Step 2.
Compare your results to recognize whether there is a pattern of the arrangement of digits in your products.

1
11
121

Step 3.
Arrange the numbers as shown to enable us to see the pattern

1*1__________________________1
11*11_______________________121
111*111____________________12321
1111*1111_________________1234321

Step 4.
Write the observations.
1)_____________________________________________________________________
2)_____________________________________________________________________
3)_____________________________________________________________________

Step 5.
Each group will tell the class bout their conclusions.
Teacher will summarize their findings on the board.

Step 6.
Sudents will go back to their groups and try to find to extend the pattern to the next next five lines.
and the results will be discussed among the groups . atecher summerizes and writes the conclusions on the board.

________1*1_______________________________1
_______11*11_____________________________121
______111*111___________________________12321
_____1111*1111_________________________1234321
____11111*11111_______________________123454321
___111111*111111_____________________12345654321
__1111111*1111111___________________1234567654321
_11111111*11111111_________________123456787654321
111111111*111111111_______________12345678987654321

Step 7:Looking for further patterns

Loking at the above pattern that we have already obtained try to see how we can contine the pattern.
____1111111111*11111111111_________________ _12345678900987654321
___11111111111*111111111111________________ 1234567901120987654321
__111111111111*1111111111111_______________ ?

Summary:
Products of digits containing digit one has a noteceable pattern.

Connections:Try to read about Pascal's triangle.