1 / 10

TRIANGULAR NUMBERS

TRIANGULAR NUMBERS. BIG IDEA How can we apply number pattern techniques to determine rules for patterns in Geometry?. HERE’S A PUZZLE TASK:. How many 2-person conversations are p possible at a party of 30 people?. TRIANGULAR NUMBERS.

brita
Download Presentation

TRIANGULAR NUMBERS

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. TRIANGULAR NUMBERS BIG IDEA How can we apply number pattern techniques to determine rules for patterns in Geometry?

  2. HERE’S A PUZZLE TASK: • How many 2-person conversations are p possible at a party of 30 people?

  3. TRIANGULAR NUMBERS Today’s Objective: During today’s lesson, you will determine a rule for generating the nth term in a sequence of triangular numbers by using a table of values and doubling/tripling before factoring.

  4. Ancient Greeks were the first to work with these numbers. Let’s find a way to determine a rule for this sequence. The triangular number sequence appears in many geometry problems.

  5. EXAMPLE A: DOUBLE-FACTOR METHOD

  6. YOUR TURN: DOUBLE-FACTOR METHOD

  7. EXTENSION: Patterns in Geometric Shapes Apply the number pattern techniques you have practiced to determine a rule for finding the total number of triangles formed in 15-sided polygon:

  8. FINAL CHECKS FOR UNDERSTANDINGUse what you have learned about triangular number sequences, combined with the data obtained at the start of class, to complete this task. How many 2-person conversations are possible at a party of 30 people?

  9. In this sequence, it is easy to find the next term, but not so easy to find the rule. Final Checks for Understanding: Given the sequence, 1, 3, 6, 10, 15, 21…, determine the next term in the sequence, then find a rule for determining the 15th term of the sequence. 5 minutes

  10. HOMEWORK Triangular Numbers WS, plus select problems from Patterns in Geometric Shapes WS (Spiral Review)

More Related