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Lesson 4

1. Lesson 4

1.13. Connect

Mathematics 20-1 Module 1

Module 1: Sequences and Series

 

Connect

 

This shows a photo of a clock resting on top of a pile of $100 bills. The clock face has dollar signs in place of numbers.

© Feng Yu/2658042/Fotolia

 

Lesson 4 Assignment

 


assessment

Open the Lesson 4 Assignment you saved in your course folder at the start of this lesson. Complete the assignment.

 

Project Connection

assessment
This is a play button that opens Module 1 Project: Financing Your Dreams.

In this lesson you investigated the formula for compound interest. In your Module 1 Project you will research different investment vehicles, or ways to invest. You will create an investment plan to help finance your goals. Go to Module 1 Project: Financing Your Dreams. Complete Project Connection 4: Investing.

 

Going Beyond

 

This shows an illustration of four circles. The first circle passes through a point. Each subsequent circle contains one more point than its predecessor. Each point is joined to each of the other points on the circle by a line segment, thus dividing the circle into multiple regions.

 

Some patterns that appear to be geometric may not be! Study the illustration, and then complete the following tasks.

  1. Construct a 5th circle that passes through 5 points. Draw line segments joining each pair of points, making sure that no three line segments ever intersect at a common point within the circle. Count the number of regions in this circle. Does this satisfy the geometric pattern?

  2. Predict how many regions you would expect to find on a circle with 6 points.

  3. Repeat the steps in question 1 for a circle with 6 points. Compare your result with your prediction from question 2.

  4. Continue to investigate the number of regions when there are 7 and 8 points on the circle. Research to find out if you can determine a formula for the pattern.

course folder Save your results in your course folder.