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1 What is the difference between an arithmetic and a geometric sequence? Essential Question Essential Question Essential Question Essential Question Essential Question Essential Question Essential Question Week 13, Lesson 1 1. Warm Up 2. Sequences and Series 3. ICA 4. STUDY! Sequences and Series What is the difference between an arithmetic and a geometric sequence? 87 Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up: On your reference sheet, find the formulas for Sequences Series Arithmetic: Geometric:
2 Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Standard 1.7 and 1.8 Sequences and Series Sequence: A simple PATTERN Series: Arithmetic: ADDING UP a simple pattern To move from one term to the next, you ADD a common difference Sequence Arithmetic.pdf Series Arithmetic SUM.pdf Geometric: To move from one term to the next, you MULTIPLY a common ratio Sequence geometric.pdf Series geometric sum.pdf Summary: Explain what is the fundamental difference between arithmetic and geometric sequences. Then, explain the difference in the affect on the terms
3 Example 1: Find the 9 th term of the sequence below, and then find the sum of the sequence of the 9 terms 64, 60, 56,..., u 9 Example 2: Find the 35 th term of the sequence below, then find the sum of the sequence of the 35 terms 32768, 16384, 8192,... u 35 Example 3: First, assume the sequence is arithmetic. Find the 10 th term. Then, pretend the sequence is geometric. Find the 10 th term. 2, 4,..., u 10
4 ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity Order Correctly Given the 6 problems below, order the answers from least to greatest
5 How can money be worth the same amount, but have different values? Essential Question Essential Question Essential Question Essential Question Essential Question Essential Question Essential Question Week 13, Lesson 2 1. Warm up 2. Currency Conversion 3. ICA 4. STUDY! Currency Conversion How can money be worth the same amount, but have different values? 89 Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up: 1) Robert can either be paid $50 to start and earn a $15 raise each day, or he can be paid $800 to start and have his daily pay cut in eighths. If he plans on working for 10 days, which plan is best?
6 Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Currency Conversion Converting Units: Identify the starting amount Set up the giant fraction bar 100 dollars 13 pesos 1 dollar You can only cancel out a unit when it is on top AND bottom of the fraction bar Multiply across the top Multiply across the bottom 100 dollars = 1,300 pesos Simplify the answer Example 1: 75 USD Mr. Henderson takes his life savings to Europe, all 75 dollars (USD). In London, 100 USD is worth 60 pounds (BPS). Then he is traveling to Sweden. 1 BPS is worth 10.9 Swedish Krona (SKE). How much is Mr. Henderson's $75 worth in Swedish Krona? 60 BPS 100 USD 10.9 SKE 1 BPS Example 2: While traveling to Europe, Greg had 1,500 dollars (USD). In Spain, they only accept euros (EUR). 100 USD converts to 72 EUR. Greg spent 42 euros in Spain before leaving for London. In London, they only accept pounds (GBP). 100 EUR converts to 83 GBP. He spent 100 pounds in London. How much money did he have in USD after the trip? Greg has $ (USD) left after his trip. Summary:
7 ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: Week 13 Leson 2 ICA Homework.docx
8 ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity Answers: , ,820 21, Yuan 2, euros ,173 1,428 45
9 How can I use this information to help chose a bank account? Essential Question Essential Question Essential Question Essential Question Essential Question Essential Question Essential Question Week 13, Lesson 3 1. Warm up 2. Simple and Compound Interest 3. Notebook check 4. STUDY! Simple and Compound Interest How can I use this information to help chose a bank account? 91 Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up: From your IB reference sheet, find the formula for Simple and Compound Interest Simple Interest Compound Interest
10 Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Notes Interest Principle: The original balance r: The annual interest RATE being applied k: The number of compound periods per year n: The number of years You may also use t for time Simple Interest: Interest is applied only on the principle balance at the end of the year This gives the amount of INTEREST, not the balance of the account Compound Interest: Interest is applied multiple times per year Interest builds on itself Summary:
11 Practice Problems Example 1 Robert owes $10,000 in student loans, but he doesn't have to start paying it off yet. His APR is 9% and is compounded daily. What will the balance be for his student loans after 1 year? 3 years? 5 years? FV= PV x FV= x Example 2 Every year, Gabby's bank gives her 4% of her initial deposit as an interest payment. She deposited $2, years ago. How much money did she profit in interest? How much money is in her account now? Gabby now has $2,800 in her account.
12 ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity ICA: In Class Activity Savings Accounts You have to choose between 2 different savings accounts at Wells Fargo. You are depositing $10,000 Option A offers.03% APR compounded daily Option B offers.05% simple interest Which option will earn you more money after 15 years? What is the difference?
13 Am I ready for my quiz? How did I prepare for this quiz? Essential Question Essential Question Essential Question Essential Question Essential Question Essential Question Essential Question Week 13, Lesson 4 1. Warm up 2. Quiz Review 3. QUIZ Quiz Review Am I ready for my quiz? How did I prepare for this quiz? 93 Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up Warm up: 1) Kaitlin can either be paid $80 to start and earn a $20 raise each day, or she can be paid $400 to start and have her daily pay cut in half. If she plans on working for 5 days, which plan is best? 2. What has a greater value, the 75 th term of sequence a, or the sum of the first 15 terms of sequence b? British Pounds (BPS) converts to 120 Euros (EUR) EUR converts to 1473 Australian Dollars (AUD). If I have 250 BPS, how much is that worth in AUD? 4. While traveling to Europe, Cynthia had 280 dollars (USD). In Spain, they only accept euros (EUR). 100 USD converts to 72 EUR. Cynthia spent 35 euros in Spain before leaving for London. In London, they only accept pounds (GBP). 100 EUR converts to 83 GBP. She spent 70 pounds in London. How much money did she have in USD after the trip? 5. Carlos took out $10,500 in student loans before starting college. His interest rate is 3.5%, compounded daily. He doesn t need to start making payments until he graduates 4 years after taking out the loans. What is the balance of his student loans when he needs to begin paying off the balance?
14 Finance QUIZ TIME!! You need: Your Calculator A Pencil or a blue pen or a black pen High lighters if you would like them IB Reference Sheet Week13 QUIZ.docx
15 Attachments Arithmetic SUM.pdf Arithmetic.pdf geometric.pdf geometric sum.pdf Week13 QUIZ.docx Week 13 Leson 2 ICA Homework.docx
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