Pre-Calc Monday 4-27-15 Today, we will be able to… Describe what sigma notation is and represents Write out sigma notation in expanded form Find the sum.

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Presentation transcript:

Pre-Calc Monday Today, we will be able to… Describe what sigma notation is and represents Write out sigma notation in expanded form Find the sum of a sigma notation Write a series in sigma notation We will show we can do this by… Asking and answering questions Completing guided practice problems Completing the book work assignment To know how well we are learning this, we will look for… Correct answers It is important for us to learn this (or be able to do this) because.... This chapter is an introduction to the study of discrete mathematics. Sequences and series are used in calculus and statistics, which translates to multiple job professions such as engineering and statisticians. Tomorrow we will… Practice what we learn today using sigma notation Friday we… Took the Chapter 11 test retake Reviewed the concepts from sections 12.1 – 12.3 Turn in: Review Worksheet Discussion/Notes/Guided Practice 12-5 Sigma Notation and the nth Term Assignment A#12.5 page 798 #15-39odd Chapter 12 Test Fri May 1 Tues:Practice 12.5 #1 (hand out Ch. 12 Review) Wed:Practice 12.5 #2 Thurs:Review due Fri:Ch 12 test

Sigma Notation:

Example #1: Write each expression in expanded form and then find the sum.

Example #2: During a nine-hole charity golf match, one player presents the following proposition: The loser of the first hole will pay $1 to charity, and each succeeding hole will be worth twice as much as the hole immediately preceding it. a. How much would a losing player pay on the 4 th hole? b. How much would a player pay if he or she lost all nine holes? c. Represent this sum using sigma notation.

Example #3: Express each series using sigma notation. a … + 61 b … + 143

Example #4: Express the series using sigma notation. N FACTORIAL

Example #5: Express the series using sigma notation.

A#12.5 page 798 #15 – 39 odd

Pre-Calc Tuesday Today, we will be able to… Describe what sigma notation is and represents Write out sigma notation in expanded form Find the sum of a sigma notation Write a series in sigma notation We will show we can do this by… Checking and discussing the book work assignment Completing the 12.5 Practice Worksheet To know how well we are learning this, we will look for… Correct answers It is important for us to learn this (or be able to do this) because.... This chapter is an introduction to the study of discrete mathematics. Sequences and series are used in calculus and statistics, which translates to multiple job professions such as engineering and statisticians. Tomorrow we will… Take the Chapter 11 Test Retake and continue working with section Yesterday we learned how to… Describe what sigma notation is and represents Write out sigma notation in expanded form Find the sum of a sigma notation Write a series in sigma notation Chapter 11 Test Retake In class Friday 4/24 Check in and discuss: 12.5 page 798 #15-39 odd Assignment 12.5 Practice #1 Worksheet TURN IN at end of hour!!! Chapter 12 Review…due Thursday!!!

Pre-Calc Wednesday Today, we will be able to… Describe what sigma notation is and represents Write out sigma notation in expanded form Find the sum of a sigma notation Write a series in sigma notation We will show we can do this by… Checking and discussing the book work assignment Completing the 12.5 Practice Worksheet To know how well we are learning this, we will look for… Correct answers It is important for us to learn this (or be able to do this) because.... This chapter is an introduction to the study of discrete mathematics. Sequences and series are used in calculus and statistics, which translates to multiple job professions such as engineering and statisticians. Tomorrow we will… Take the Chapter 11 Test Retake and continue working with section Yesterday we learned how to… Describe what sigma notation is and represents Write out sigma notation in expanded form Find the sum of a sigma notation Write a series in sigma notation Chapter 11 Test Retake In class Friday 4/24 Return and discuss: 12.5 Practice #1 Worksheet Assignment 12.5 Practice #2 Worksheet TURN IN at end of hour!!! Chapter 12 Review…due TOMORROW!!!

Pre-Calc Thursday Today, we will be able to… Demonstrate growth over chapter 12 Find the nth term of an arithmetic and geometric sequence Find the arithmetic means of an arithmetic and geometric sequence Find the sum of n terms of an arithmetic and geometric series Describe what sigma notation is and represents Write out sigma notation in expanded form Find the sum of a sigma notation Write a series in sigma notation We will show we can do this by… Completing the chapter 12 post test Discussing the Chapter 12 review & 12.5 Practice #2 To know how well we are learning this, we will look for… Correct answers It is important for us to learn this (or be able to do this) because.... This chapter is an introduction to the study of discrete mathematics. Sequences and series are used in calculus and statistics, which translates to multiple job professions such as engineering and statisticians. Tomorrow we will… Take the chapter 12 test. Yesterday we… Describe what sigma notation is and represents Write out sigma notation in expanded form Find the sum of a sigma notation Write a series in sigma notation Chapter 12 Test TOMORROW Discuss: 12.5 Practice #2 Chapter 12 Review Chapter 12 Post Test Complete the Success Criteria Activity for Chapter 12

Pre-Calc Friday Today, we will be able to… Find the nth term of an arithmetic and geometric sequence Find the arithmetic means of an arithmetic and geometric sequence Find the sum of n terms of an arithmetic and geometric series Describe what sigma notation is and represents Write out sigma notation in expanded form Find the sum of a sigma notation Write a series in sigma notation We will show we can do this by… Completing the Chapter 12 test To know how well we are learning this, we will look for… Correct answers It is important for us to learn this (or be able to do this) because.... This chapter is an introduction to the study of discrete mathematics. Sequences and series are used in calculus and statistics, which translates to multiple job professions such as engineering and statisticians. Tomorrow we will… Begin Chapter 10…take a pre-test and look at the first section. Yesterday we… Reviewed chapter 12 and took the post-test to demonstrate growth over the chapter. Chapter 12 Test