1. Lesson 1

Mathematics 20-1 Module 1

Module 1: Sequences and Series

 

Lesson 1: Arithmetic Sequences

 
Focus

 

This shows a photo of a child dropping a coin into a piggy bank.

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Are you saving money? Do you have a savings account or do you keep your coins in a safe place at home? Perhaps you want to attend college or university in the future. You may want to visit a foreign country after you graduate, or you may want to invest in a nice car. Whether you want to save for your education or finance an automobile, saving money is easy to do and can help you reach your goals.

 

There are many ways to save money. One of the easiest ways to save is to put aside a portion of your allowance or earnings from a part-time job. How much you put aside depends on how quickly you want to reach your goals. Some people like to put aside a set amount, like $50 each month. If you followed this practice of saving, can you figure out how much you will have saved at the end of two years?

 

In this lesson you will learn about arithmetic sequences. If you deposited $50 in your bank account every month, the monthly balances would form an arithmetic sequence. You will develop and learn strategies to figure out your balance at any point in the future. Doing so allows you to design a savings plan that will help you meet your financial goals.

 

Outcomes
 

At the end of this lesson you will be able to

  • identify any assumptions made when defining an arithmetic sequence

  • provide and describe an example of an arithmetic sequence

  • determine a rule for finding the general term of an arithmetic sequence

  • determine t1, d, n, or tn in a problem that involves an arithmetic sequence
Lesson Questions
 

In this lesson you will investigate the following questions:

  • How can you find any term in an arithmetic sequence?

  • How are patterns important in the real world?
Assessment

 

Your assessment may be based on a combination of the following tasks:

  • completion of the Lesson 1 Assignment (Download the Lesson 1 Assignment and save it in your course folder now.)

  • course folder submissions from Try This and Share activities

  • additions to Module 1 Glossary Terms and Formula Sheet

  • work under Project Connection

Self-Check activities are for your own use. You can compare your answers to suggested answers to see if you are on track. If you are having difficulty with concepts or calculations, contact your teacher.

 

Materials and Equipment
 

You will need a calculator.

 

Time
 

Each lesson in Mathematics 20-1 Learn EveryWare is designed to be completed in approximately two hours. You may find that you require more or less time to complete individual lessons. It is important that you progress at your own pace, based on your individual learning requirements.

 

This time estimation does not include time required to complete Going Beyond activities or the Module 1 Project.