3.1: Balance the Pans
You have lots of these boxes. If you wanted to make the pans balance, which boxes will you use? Can you solve this problem in more than one way?
Guidance
In order to 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 which boxes to put in the pan. You want to make sure that the weight of each pan is the same.
- Third, make a plan for how you will solve.
- Fourth, solve the problem.
- Last, check your answer by making sure that the combinations of boxes you found add up to the amount that you needed.
For the problem above, since the right side weighs 9 pounds, you want to make sure the left side will also weigh 9 pounds.
Example A
You have lots of these boxes.
Put boxes in the empty pan.
Make the pans balance.
Which boxes will you use?
Can you do it another way?
Solution:
We will use the problem solving steps to solve this problem.
Example B
You have lots of these boxes.
Put boxes in the empty pan.
Make the pans balance.
Which boxes will you use?
Can you do it another way?
Solution:
We will use the problem solving steps to solve this problem.
Concept Problem Revisited
We can use the problem solving steps to help us solve this problem.
Vocabulary
To be equal means to be the same. In this concept, we are trying to make weights equal. This means we are trying to make each side of the pan balance have the same weight.
Guided Practice
For each problem below, use the problem solving steps. Your job is to put boxes in the empty pan to make the pans balance. Can you solve the problem in more than one way?
1.
2.
3.
Answers:
1.
2.
3.
Practice
For each problem below, use the problem solving steps. Your job is to put boxes in the empty pan to make the pans balance. Can you solve the problem in more than one way?
Image Attributions
Description
Learning Objectives
Students add single digit numbers to determine the boxes that can be placed in an empty pan to balance the pans. Students will use problem solving steps to complete these problems.