Again And Again - Sharp EL-531RH Teachers Manual

Again & Again
• • • • • • • • • • • • • • • • • • • • • Objective • • • • • • • • • • • • • • • • • • • • •
Explore number patterns arising from a variety of situations.
Interpret, generalize and use simple relationships, and generate rules for number sequences.
• • • • • • • • • • • • • • • Explanation of the activity • • • • • • • • • • • • • •
Express simple functions initially in words and then symbolically.
This activity develops students' understanding of convergent sequences and the concept of a limit.
For more able students, attempting to prove the results will give practice in algebraic manipulation.
This can also be used to introduce an iterative method for solving quadratic equations.
• • • • • • • • • • • • • • • • • Using the calculator • • • • • • • • • • • • • • • • •
Calculator functions used: Addition, subtraction, multiplication, division,
Press the following buttons and then start operation.
Let's see what happens when we repeat the same equation
over and over.
Think of a number.
Divide it by 2 and add 1.
Example:
Try the number 6.
6 2
Divide the answer by 2 and add 1.
2
Keep on repeating this.
( 2
What eventually happened?
Did the answer come closer and closer to a certain integer?
Try investigating different starting values and different rules to use for the
repeat calculation.
last answer memory
1
1
1 )
6÷2+1=
ANS÷2+1=
ANS÷2+1=
ANS÷2+1=
47
High school
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