12.1: Notice and Wonder: Tape Diagrams
What do you notice? What do you wonder?
Let's use tape diagrams to understand percentages.
What do you notice? What do you wonder?
Jada has a new puppy that weighs 9 pounds. It is now at about 20% of its adult weight.
Here is a diagram that Jada drew about the weight of her puppy.
The adult weight of the puppy will be 45 pounds. How can you see that in the diagram?
What fraction of its adult weight is the puppy now? How can you see that in the diagram?
Jada’s friend has a dog that weighs 90 pounds. Here is a diagram Jada drew that represents the weight of her friend’s dog and the weight of her puppy.
Noah has \$5.
During the first part of a hike, Andre drank 1.5 liters of the water he brought.
Decide if each scenario is possible.
Tape diagrams can help us make sense of percentages.
Consider two problems that we solved earlier using double number lines and tables: “What is 30% of 50 pounds?” and “What is 100% of a number if 140% of it is 28?”
Here is a tape diagram that shows that 30% of 50 pounds is 15 pounds.
This diagram shows that if 140% of some number is 28, then that number must be 20.