MA19.FM.6
Use multiple representations and methods for counting objects and developing more efficient counting techniques. Note: Representations and methods may include tree diagrams, lists, manipulatives, overcounting methods, recursive patterns, and explicit formulas.
Use multiple representations and methods for counting objects and developing more efficient counting techniques. Note: Representations and methods may include tree diagrams, lists, manipulatives, overcounting methods, recursive patterns, and explicit formulas.
Unpacked Content
Knowledge
Students know:
- Tree diagrams can be used to systematically list all possibilities for a given set of constraints.
Skills
Students are able to:
- List all possible outcomes for a given set of constraints
Understanding
Students understand that:
- Tree diagrams and other systematic methods can be used to count objects but may not be the most efficient method when counting large quantities.
- Recursive and explicit formulas can be developed from examining patterns in tree diagrams and systematic lists.
Vocabulary
- Tree diagram
- Recursive pattern
- Explicit formula
