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ALGEBRA I – 2020-21September 15, 2020Today’s Agenda (Day 25)HOUSEKEEPING HOMEWORK CHECK Chapter 2 Vocabulary Section 2.1 Exercises – [p. 82, #22, 24, 26, 28, 34, 38, 40, 42, 44] CLASS ACTIVITY CONT’D: Chapter 2Section 2 – Solving one-step equations*Show work when solving these questions. Take a picture of your written workings, pay attention to the steps in the solution process. SUBMIT by class end to sbeland@, subject line: Lessons 2.2 Exercises LAUNCH: Mini-Project A or B – see p. 2 or 4 of document belowHOMEWORK:Review Chapter 2Complete Section 2.2 Exercises – [p. 90, #20, 26, 30, 32, 38, 42, 58, 60, 68]Complete Mini-Project A or BChapter 2 – Linear EquationsConsecutive integersDimensional analysisEquivalent equationsExtremesFormulaIdentityLinear equationLiteral equationMeansMulti-step equationNumber theoryProportionRateRatioScaleScale modelSolve an equationUnit rateREMINDERS:Chapter 2 Vocabulary – Sept. 15Mid-Chapter 2 Quiz September 18Mini-Project – Sept. 21; 11:59:59 pmChapter 2 Test September 25Mini-Project Presentations – Sept. 28 – Oct. 2ALGEBRA I – 2020-21MINI PROJECT - AVerrrry Interesting!Materials: calculator, spreadsheet software (optional)?Work alone or in a group of two or three.?Every day the mail contains offers for credit cards. Suppose you accept a credit card offer and sign up for a credit card with a $500 limit, $15 minimum monthly payments, and a yearly interest rate of 18%. It sounds like an excellent opportunity for you. You decide to purchase a new TV and some stereo equipment, spending the entire $500. At the end of the month, you receive a statement. You can pay just $15 and then pay interest on the rest of this "loan." At a rate of $15 per month, you estimate that you can pay the money back in 500 ÷ 15 or about 33 months. Is it really that simple??Procedure for the Activity?Step 1?Estimate how long you think it will take to pay off the $500 by making the minimum payment.?Step 2?The table below can be used to find the balance due to the credit card company on each statement.?Statement NumberAmount DueMinimum PaymentBalance -Minimum PaymentInterest on Remaining Balance(18 ÷ 12 = 1.5%)Balance Due1500.0015.00485.007.28492.282492.2815.00477.287.16484.443484.4415.00???4?15.00???5?15.00???6?15.00???Here is how the values in each column are found.?Column 2?This is the balance due on each statement. On Statement 1 the balance due is $500. On Statement 2 the balance due is from Column 6 of the previous statement.Column 3?This column shows that the minimum payment each time is $15.Column 4?This column shows the balance due minus the minimum payment. For Statement 1, that is $500 - $15 = $485.Column 5?This column shows the interest owed on the balance in Column 4. For this particular credit card, you are charged interest for the next month on the $485 balance. Since the interest rate is 18% per year, each month you pay??of the yearly interest rate or 18% ÷ 12 = 1.5%. Written as a decimal, this is 0.015. For Statement 1, the interest on the remaining balance is found by multiplication, so 485 · 0.015 = 7.275??7.28.Column 6?This column shows the new balance that will be due on the next statement. For Statement 1, this is $485.00 + $7.28 = $492.28.?Step 3?Copy or print out the table in Step 2 and complete it for the first six statements.Step 4?You can continue the table to find when the balance will be $0, or you can make a simpler table. The Distributive Property can simplify the calculations that you need to make. Let the balance?B?due on the first statement be?B?= 100% · (500 - 15) + 1.5%(500 - 15). This can be rewritten in decimal form as?B?= 1 · (500 - 15) + 0.015(500 - 15). Verify that this equation can be used to find that 492.28 will be due on Statement 2.Step 5?Use the Distributive Property to simplify the equation?B?= 1 · (500 - 15) + 0.015(500 - 15). Verify that this equation can be used to find that 492.28 will be due on Statement 2.Step 6?Each time you make a payment, the balance changes. In the equation?B?= 1 · (500 - 15) + 0.015(500 - 15), the number 500 will change for each statement. Therefore, replace 500 with a variable, say?a. The equation is then?B?= 1 · (a?- 15) + 0.015(a?- 15). Use the Distributive Property to simplify this equation.Step 7?Make a table with fewer columns than in the table in Step 2 to find the balances due from Statement 6 until the balance is paid off. Use the simplified equation in Step 6 to make your calculations easier.Step 8?How did your estimate in Step 1 compare to the actual time it took to pay off the $500?Step 9?How much interest was paid to the credit card company? Explain your method for finding the amount of interest paid.?Wrapping Up the Activity?Research at least three different credit cards using the Internet. Find out whether the interest rates can change and what happens if minimum payments are not made on time. Write a one—page summary of your findings. Include a comparison of the three credit cards.DeliverablesInclude workings and research findings into a Power Point Presentation. Be prepared to present your work and discover.ALGEBRA I – 2020-21MINI PROJECT - BI Love the City!Materials: calculator?Work alone or in a group of two or three.?The table shows the population of each of the ten largest cities in the U.S. according to the results of the 2000 census. The population of each city for 1950 is also given.?Rank and CityPopulation in 2000Population in 1950New York, NY8,008,2787,891,957Los Angeles, CA3,694,8201,970,358Chicago, IL2,896,0163,620,962Houston, TX1,953,631596,163Philadelphia, PA1,517,5502,071,605Phoenix, AZ1,321,045106,818San Diego, CA1,223,400334,387Dallas, TX1,188,580434,462San Antonio, TX1,144,646408,442Detroit, MI951,2701,849,568Sources:?The World Almanac for Kids?Procedure for the Activity?Step 1?Find the rate of change for each city for 1950-1990.Step 2?Which cities showed a positive rate of change? Which city had the most dramatic increase in population?Step 3?Which cities showed a negative rate of change? Which city had the most dramatic decrease in population?Step 4?Select one city that showed an increase in population and one city that showed a decrease in population. Make a line graph for each city on the same coordinate plane.?Wrapping Up the Activity?Consider the graph you made in Exercise 4. Suppose that the rate of change of each city remains approximately the same in the future. Do you think the populations of the two cities you selected will ever be approximately the same? Do you think that the population of any two cities in the table will ever be approximately the same? Write a paragraph to explain your reasoning.?DeliverablesInclude workings and research findings into a Power Point Presentation. Be prepared to present your work and discover. ................
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