Guess My Rule!
from an article by Paige Larson in the Spring 2006 Colorado Mathematics Teacher
In the game activity, Guess My Rule, you give your students the x value of a linear function and have them find the y-value.
They need to determine the rule that you have in mind to get the correct y-value.
No one is allowed to share their rule until the end.
For the rule to be established, the teacher must provide two initial x and y pairs.
Here are some suggestions for implementing this warm-up activity:
Present one pair of x,y values and let students guess the y for the second x.
Do not present the x-values in numerical order.
Have a goal in mind for your rules. Perhaps present the rule in the
form y = mx + b.
When half the class seems to know the rule, make the x-value a fraction or a negative number to challenge them.
Steps:
- Present the initial pair of values.
- Enter the next x-value and have students suggest the y-value.
- Enter the correct y-value and caution the students not to give up the rule.
- Continue in this manner until at least half of the class appears to know the rule.
- To make it possible for more students to access the rule, make a new table and this time order the values of x.
Now more students will be able to determine the y-value because there will be a pattern.
- Have the students share their rules. Record them as word or symbol rules.
What's My Rule (With Circles)
When studying circles, I give several coordinate pairs and have my students guess the equation of the circle that I have in mind.
Example #1:
What's My Rule?
Example #2:
X
|
Y
|
5
|
3
|
4
|
4
|
-3
|
-3
|
1
|
-5
|
5
|
-3
|
-4
|
0
|
1
|
5
|
6
|
0
|
What's My Rule?