5.1: Jars and Jars
Look at the pictures of the pan balances below. What do you see? Can you figure out the weight of jar z? Can you say anything about the weight of jar x? In this concept, we will learn how to use problem solving steps to help us to describe the relative weights of objects given in pan balances.
Guidance
In order to determine the relationship between the balance pans like the one above, use the problem solving steps to help you.
- First, describe what you see and what information you are given.
- Next, identify what your job is and what you are trying to solve. In all of these problems, your job will be to figure out the relative weights of the two jars that have letters of them.
- Third, make a plan for how you will solve. See if you can figure out the exact weight of one jar first. Then, describe what you know about the weight of the other jar.
- Fourth, solve the problem.
- Last, check your answer.
Example A
What is the weight of jar p? What could be the weight of jar m? Tell how you figured it out.
Solution:
We can use problem solving steps to help us.
Example B
What is the weight of jar k? What could be the weight of jar j? Tell how you figured it out.
Solution: We can use problem solving steps to help us.
Example C
What is the weight of jar y? What could be the weight of jar z? Tell how you figured it out.
Solution:
We can use problem solving steps to help us.
Concept Problem Revisited
We can use problem solving steps to help us.
Vocabulary
To be equal means to be the same. When pans are balanced then the weights of the two pans are equal . To be greater than means to be bigger. To be less than means to be smaller. When two pans are not balanced then the weight of one pan is is greater than the weight of the other pan.
Guided Practice
What could be the weight of the jars? Tell how you figured it out.
1.
2.
3.
Answers:
1. x is 6 pounds; v is more than 3 pounds
2. w is 4 pounds; t is less than 8 pounds
3. a is 7 pounds; b is less than 7 pounds
Practice
What could be the weight of the jars? Tell how you figured it out.
Image Attributions
Description
Learning Objectives
Students willfigure out the relative weights of objects from the relationships displayed in pan balances. Students will use problem solving steps to help them.