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Welcome to Algebra II (honors)

Welcome to Algebra II (honors) . Mrs. Porpiglia (poor – peel – ya ) Student Introduction: How many tries did it take Thomas Edison until he invented the light bulb? In what country did the idea of a million originate? In what country did the idea of a billion originate?

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Welcome to Algebra II (honors)

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  1. Welcome to Algebra II (honors) • Mrs. Porpiglia (poor – peel – ya) • Student Introduction: • How many tries did it take Thomas Edison until he invented the light bulb? • In what country did the idea of a million originate? • In what country did the idea of a billion originate? • What is the length (in inches) of a dollar bill?

  2. Unit 1: Functions

  3. Unit 1: Day 1 • The language of Algebra: • Order of Operations • Expression • Equation • Formula • Fractions

  4. Expression • Equation • Formula

  5. Expression • when numbers and variables are combined using the operations of arithmetic

  6. Equation • a sentence stating that two expressions are equal

  7. Formula • an equation stating that a single variable is equal to an expression with one or more different variables on the other side

  8. Practice Time!

  9. Determine if each problem was simplified correctly. If it wasn’t, be prepared to explain why the answer is incorrect.

  10. Fraction Operations • Complete the Basic Fraction Operations Quiz • Grade the Quiz • Based on your score results, select a Fraction Note sheet (with practice problems on the back) for each operation you struggled with and COMPLETE for HOMEWORK!! • Don’t forget to bring the signed expectation sheet to class by TUESDAY!

  11. Unit 1: Day 2 • Order of Operations with Fractions • Add, Subtract, Multiply, and Divide Fractions that contain variables • Simplify fraction expressions that contain variables • Announcements: • Extra Help next week • Wednesday (9/7) from 2 – 3 pm • Expectations Due on Tuesday • Algebra Basic Skills Inventory Test on Thursday!!

  12. Any questions on the fraction HW? • Anyone have signed information sheets to pass in?

  13. Multiplying Fraction Expressions Reduce or simplify first (if possible)

  14. Dividing Fraction Expressions Flip 2nd fraction then reduce or simplify first (if possible) before multiplying

  15. Adding & Subtracting Fraction Expressions In order to get a common denominator, find the LCM (least common multiple) of the denominators. Many times you’ll have to multiply the denominators together.

  16. Order of operations with fractions

  17. Closing Assignments… • Complete the worksheet: “Fraction Expressions” • Complete the “Solving Equations Pre-Assessment” and pass into the bin before you leave class. • Pick up the “Review for Basic Skills Inventory” and start working on it if there is time remaining. (Remember the test is on Thurs) • Don’t forget to bring the signed info sheet to class on Tuesday!

  18. Unit 1: Day 3 • Solving Equations with one variable • Solving Absolute Value Equations • Clearing fractions in an equation • Announcements: • Extra Help this week • Wednesday (9/7) from 2 – 3 pm • Expectations Due TODAY!!!! • Algebra Basic Skills Inventory Test on Thursday!!

  19. Problem of the day 1. Is a formula always considered an equation or is an equation always considered a formula? 2. What is the difference between an expression & an equation? 3. Simplify using order of operations:

  20. Lesson • Notes 1.5 (Solving Equations with One Variable) • Practice Problems 1.5 • When complete, check answers with answer key from Mrs.P • Notes 1.6 (Solving Equations with More than One Variable) • Practice Problems 1.6 • When complete, check answers with answer key from Mrs.P • Any unfinished problems should be completed for Homework tonight (due tomorrow)!

  21. Closing Assignments… • Complete unfinished Practice Problems (1.5 & 1.6) for HW • Basic Skills Inventory on THURSDAY!! • Bring Graphing Calculator to class on THURSDAY

  22. Unit 1: Day 4 • Prepare for Algebra Basic Skills Inventory Test • Announcements: • Extra Help this week IN ROOM B312 • Today (9/7) from 2 – 3 pm • Algebra Basic Skills Inventory Test TOMORROW!!

  23. Problem of the day • My cousin, Alex, who lives in Canada called me this weekend and told me that his temperature was 35 degrees Celsius. Should I be concerned that his body temperature might be too high or too low? (Hint: ) • I called my friend, Maria, in Britain. It cost me 11 cents for the first minute and then 20 cents for every minute after that. If I paid $3.11, how long did we talk for?

  24. Check HW • Check Practice Problems 1.5 (all) and 1.6 (#1 – 6) • Any questions? • Start working on Review for Skills Inventory • Remember to bring a graphing calculator to class on Thursday! We’ll be learning how to use them.

  25. Unit 1: Day 6 • Relations vs. Functions • What is a function • How to determine if a relation is a function • Announcements: • Extra Help next week: • Thursday (9/15) 2 – 3 pm • Unit Test on THURSDAY! • Any Questions about using a graphing calculator?

  26. Problem of the day • My cousin, Alex, who lives in Canada called me this weekend and told me that his temperature was 35 degrees Celsius. Should I be concerned that his body temperature might be too high or too low? (Hint: ) • A bag of mixed dried beans for soup contains 1/8 pinto beans, 3/8 white beans, ¼ kidney beans, and 8 ounces of navy beans. Find the weight of the entire bag & the weight of the pinto beans. • To determine the retail price, r, of all merchandise, a store owner multiplies the wholesale price, w, by 1.5. Write an equation relating r and w.

  27. Lesson & Practice • Notes on Relations & Functions • Go over Frayer Models (Domain and Range) • Practice Problems (finish for HW if not completed in class) • p. 64 #1-5, 7, 9-16

  28. Seating Chart Today!!

  29. Unit 1: Day 7 • Function Notation • Domain and Range of Graph Functions • How to use function Notation • Announcements: • Extra Help: • Thursday (9/15) 2 – 3 pm • Unit Test on THURSDAY! • Please take out your HW from Friday so it can be checked while you work on the Problem of the Day

  30. Problem of the day • Explain how y is a function of x when x isn’t a function of y in the relationship: • { (-4, 4), (-3, 3), (-2, 2), (-1, 1), (0,0), (1, 1), (2, 2), (3, 3), (4, 4) }

  31. Check HW • HW 2-1 (a) p. 64 #1-5, 7, 9-16

  32. Function Notation • Function Machine • http://youtu.be/VUTXsPFx-qQ • Function Notation • Domain & Range of Graph Functions • Graph Story • Treasure Hunt • HW: p. 65 #17-24, 29-30, 33, 36-39

  33. Unit 1: Day 8 • Sequences • Announcements: • Extra Help: • Thursday (9/15) 2 – 3 pm • Unit Test on THURSDAY! • Please take out your HW so it can be checked while you work on the Problem of the Day

  34. Unit 1: Day 9 • Review for Unit 1 Test • Announcements: • Extra Help: • Thursday (9/15) 2 – 3 pm • Unit Test TOMORROW! • Please take out your Review Packet you worked on last night!

  35. Problem of the day Use the sequence t of positive even integers for these questions: 2, 4, 6, 8, 10. . . (hint: ) • What does “t sub 5” equal? • Write what you would say if you were asked to read “ ”. • To repay a $200 loan, Jessie makes a payment of $20 a month. At the end of each month, she receives a statement telling how much money she still owes. Make a list of her outstanding debts for the first six months (ex: at month one, she still owes $180)

  36. Unit 1: Day 10 • Announcements: • Extra Help: • Thursday (9/15) 2 – 3 pm • Open House Tonight 6:30 – 8 pm • Make sure your parents have a copy of your schedule with room numbers and teacher names! • Unit 1 Test

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