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This Sums of Finite Arithmetic Series: Triangular Numbers interactive also includes:
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Using a slider, scholars build triangular numbers and their associated rectangles and use the geometric display to find the pattern to determine the next triangular number. They then relate that number to the area of the rectangle to find the general formula for the sum of consecutive whole numbers.
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Concepts
Additional Tags
Instructional Ideas
- Determine whether the arithmetic sum formula holds true for triangular numbers
Classroom Considerations
- Individuals should be comfortable finding areas using variables
- Requires individuals to sign up for a free account before accessing CK-12 resources
Pros
- Displays the correct answer if needed
- Provides a discussion question to contemplate other geometrically represented numbers
Cons
- None