- Abstract:
-
The purpose of this task is for students to find different pairs of numbers that sum to 4.
- Subject:
- Mathematics and Statistics
- Grade Level:
- Primary
- Collection:
- Illustrative Mathematics
The purpose of this task is for students to find different pairs of numbers that sum to 4.
Task Description: Students are asked to demonstrate the different possible combinations when placing 6 books on 2 shelves. Books on Shelves is the culminating task in a multi-week unit focused on operations and algebraic thinking. Students demonstrate mastery by completing the Books on Shelves task in one class period.
The purpose of this task is for students to find different pairs of numbers that sum to 7.
The purpose of this task is for students to find different pairs of numbers that sum to 9.
The purpose of this task is for students to select 2 numbers from a set of 3 that sum to 9. The task can be completed for sums equaling any number. Teachers may choose to ask students to write the simple equations they select.
The purpose of this task is for students to select 2 numbers from a set that sum to 5 (or any other number).
Christopher Persaud from Elmont Memorial High School understands the importance of functions throughout high school mathematics courses. Although students have worked with functions in their prior math courses, he decides to introduce a scenario about winning a lottery and purposely does not use the term ÔfunctionŐ. This approach helps students focus on the real world situation and analyzing the relationship between the variables in the situation.Christopher also intentionally uses the term Ôone-to-one correspondenceŐ to guide students in understanding the uniqueness within a functional relationship in which the independent variable is uniquely associated with the dependent variable.
The words compose and decompose are used to describe actions that young students learn as they acquire knowledge of small numbers by putting them together and taking them apart. This understanding is a bridge between counting and knowing number combinations. It is how instant recognition of small numbers develops and leads naturally to later understanding of fact families. This task helps them develop an understanding of number combinations.