# Colored Pencils

Practices
Contextualizing and decontextualizing
Representing and connecting
Topics
• Counting
1
2
Use an App
Number Frames
4C2Z-JZK3
Number Rack
17P2-Z3DB
Pattern Shapes
3HRJ-ECVR

How many of each color of pencils could Mai and Trace have?

Mai and Trace have some red, yellow, and blue pencils.

• There are more than 14 but less than 20 pencils.
• There are more red pencils than yellow pencils.
• There are more yellow pencils than blue pencils.
• There is an odd number of each color pencil.

How many of each color could they have?

Hint: An odd number can be divided into 2 equal groups with 1 left over.

How could you get started?
• Try starting with 15 total pencils.
• Think about which color will have the most pencils. Which color will have the least number of pencils?
• How many red pencils could Mai and Trace have?
• How might you represent the relationships in this problem?
• Is your solution the only solution? How can you be sure?
• What if the quantities of pencils could be even or odd? What are some possible combinations of pencils Mai could have?
• Can you write a problem like this of your own?