After reading

*Comprehending Math,*I decided to ask students three essential questions while solving problems. Those questions are only a few that I took from*Arthur Hyde's Braided Model.*Those three questions help students to break down a word problem, understand it and develop strategies for solving. As a classroom teacher, you can turn these questions into a routine every time they come across word problems. Students can write down their responses or simply exchange ideas to help others lead to a solution.Here is an example: The sum of three numbers is 98. The ratio of the first to
the second is 2:3, and the ratio of the second to the third is 5:8. What is the
value of the second number?

1) WHAT DO I KNOW FOR SURE?

*Sample response: I know that the sum of the three numbers in 98. The ratio of the first number to the second is 2 to 3 and the ratio of the second number to the third is 5 to 8.*

2) WHAT DO I WANT TO KNOW, FIGURE OUT OR DO?

*Sample response: We would like to know what the second number is.*

3) HOW CAN I SOLVE THIS PROBLEM?

*Sample response: Since the second number is mentioned twice, I need to find the greatest common multiple of 3 and 5 and then represent the numbers as algebraic expressions. GCF (3,5)=15 so I can use the following expressions for each number:*

*Number one= 10x*

*Number two = 15x*

*Number three= 24x*

*You can see that these numbers will satisfy the ratios mentioned in the problem:*

*(10 to 15 is same as 2 to 3) and (15 to 24 is same as 5 to 8)*

*I will then add these three expressions 10x+15x+24x = 49x*

*Since 49x = 98 x=2 and now we can tell the numbers are 20, 30 and 48 respectively.*

## No comments:

## Post a Comment