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The Number System

The Number System. 8 th Grade Math Unit 1. T.G.I. Friday, August 8, 2014 Target: I will compare, order and classify rational numbers. Agenda: Vocabulary Team Task Notes- Venn Diagram and Foldable Fraction to Decimal

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The Number System

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  1. The Number System 8th Grade Math Unit 1

  2. T.G.I. Friday, August 8, 2014Target: I will compare, order and classify rational numbers. • Agenda: • Vocabulary • Team Task • Notes- Venn Diagram and Foldable • Fraction to Decimal • Independent Practice- Textbook pg. 70 (12, 13, 20, 21); Worksheet Bell Ringer: Round the decimal to the nearest hundredth. 2.58934 Round the decimal to the nearest tenth. 0.55 Round to the nearest whole number. 25.35 Round to the nearest thousandths. 12.57993

  3. VOCABULARY In your math journals, count ten pages from the end of the book and title that page Glossary. We will define the following words during our lesson today. Place the word, definition and illustration in the glossary. Rational numbers repeating decimal terminating decimal

  4. Real Numbers Task (5 min.) • Prior Knowledge Brainstorming: • What is a natural number? • What makes whole numbers different than natural numbers? • What do you know about integers? • As a team, place the following numbers in the correct category on the Real Number Graphic Organizer: • 3/5, 0, -5, 33, 0.45, 18%, 0.4 repeating • HINT: A rational number is a number that can be written as the ratio (fraction) (a/b) of two integers. The denominator CAN NOT be zero!!!! • HOT Question: Justify your classification of each number on the graphic • organizer. Ex. 1. The fraction 3/5 is a rational number because…

  5. FRACTION to DECIMAL EXAMPLE 1: • If I told you that 5/8 = 0.625, could you tell me how I “got” that answer? EXAMPLE 2: • If I told you that -1 2/3 = -1.6 repeating, could you tell me how I “got” that answer? • Show your work under notes in your Math Journal.

  6. Thursday, August 8, 2013 OBJECTIVE: I will convert repeating decimals into fractions and apply conversions to find batting averages and winning percentages. BELL RINGER: Mrs. Frick made the following statement: A natural number is always a rational number but a rational number is sometimes a natural number. Do you agree or disagree with this statement? Write a sentence justifying your decision.

  7. Procedures • Tutoring: Tuesdays & Wednesdays 7:15-7:50. • I will come to the gym to let you know that I am at school. • You need to know what it is you need help with. Questions are wonderful! • Make arrangements with your 1st period teacher before you come to tutoring.

  8. Today’s Agenda Homework Check Batting average examples. Repeating Decimals Guided Practice Independent Practice for a grade.

  9. Batting Averages and NASCAR Situation 1: In a recent season, St. Louis Cardinals first baseman Albert Pujols had 175 hits in 530 bats. To the nearest thousandth, find his batting average. Situation 2: In a recent season, NASCAR driver Jimmie Johnson won 6 of the 36 total races held. To the nearest thousandth, find the part of races he won.

  10. Repeating Decimals Example 1: 2.18 Your Turn: 0.27, 0.135, 0.3

  11. T.G.I.Friday, August 9, 2013 Objective: I will convert between fractions and decimals and complete an extended response question. Bell Ringer: Using complete sentences, describe the difference between 0.3 and 0.3 repeating. Convert both of them to a fraction. Show your work and explain the process that you use.

  12. Agenda Homework Check Mini Challenge Extended Response: The Field Trip

  13. Extended Response An 8th grade class is going on a field trip to see a play. For the 27 students going on the trip, the van rentals will cost $545, gas will cost $130, and admission to the play will be $945. Each student has been paying $4 per week to pay for the trip. They now have a total of $864. How many more weeks does each student have to pay $4 to have enough to pay for the entire trip?

  14. Magnificent MondayAugust 12, 2013 Target: I can write expressions in exponential form. BellRinger: Complete the problems on the sheet that you received as you walked in the door. Vocabulary: When you finish the bell ringer, place the following words into your glossary: Power, base, exponent, expression

  15. AgendaTarget: I can write expressions in exponential form. Assessment Results Bell Ringer “Double Your Money” Human Exponential Expressions Vocab. Foldable/Notes Independent Practice

  16. Target: I can write exponential functions. HUMAN EXPRESSIONS You have a number or variable on an index card. When I say “go” group yourselves without talking! THINK: Are we grouped with like terms (same bases)? How couldwe re-write the groupings? When we write them with exponents, which operation (+, -, /, x) do we use?

  17. Notes/Vocab. • Vocabulary is on the back white board. Copy definitions in glossary • Notes/Examples:

  18. Terrific Tuesday August 13, 2013 Objective: I can evaluate exponential expressions. Bell Ringer: Those who mastered need to finish their triangle art page and those who did not need to complete the back side of your page. I will collect these and for every correct answer you have, it will replace a missed problem on Mini Challenge 1. This is completed independently and work must be shown. YOU must show ME that you have MASTERED these concepts.

  19. AGENDAObjective: I can evaluate exponential expressions. • Homework Check – Stand up and Check! • Vocabulary: • Order of operations: A universal order to simplify expressions so that everyone gets the same answer. • Switch/Switch • Independent Practice

  20. SWITCH/SWITCHObjective: I can evaluate exponential expressions. REMEMBER PEMDAS? On your white boards, create an expression without variables that contains multiple operations. Ex. 24/2 + 15 x 2 When I say “switch” you must switch boards with someone other than in your group and simplify their expression. When I say “switch” you must switch boards with someone other than in your group and check that person’s answer. If it is NOT correct, correct it and take it back to that person and explain.

  21. Wacky WednesdayAugust 14, 2013 Objective: I can simplify monomials using the laws of exponents. BellRinger: Everyone completes Lesson 2 Problem-Solving Practice. You have 10 minutes and you can use the calculator. SHOW YOUR STEPS!

  22. AGENDAObjective: I can simplify monomials using the laws of exponents. • Small Group Homework Check • Vocabulary: • Variable – a letter that stands in the place of numbers • Monomial – A number, variable or product of numbers and variables • Foldable/Math Journal • Guided Practicew/ white boards • Independent Practice - Classwork

  23. FYI Thursday – We will be doing STAR testing in the 5/6th computer lab for 2nd period and 8th. We will be in the 7/8th computer lab for 4th period. Friday – You will be taking your first Challenge. You will get a list of all vocabulary and sample problems on Thursday. We will play a head-to-head review game on Friday before the Challenge.

  24. T.G.I. FridayAugust 16, 2013TARGET: I can multiply and divide monomials. Bell Ringer: Noah can run 2 ¼ miles more than Ricky. Write 2 ¼ in decimal form. The area of Mrs. Frick’s yard is 3 7 times 4. Calculate the area of the yard. Write the expression using exponents: 5x2 times 2x4

  25. AGENDAI can multiply and divide monomials.I can raise a power to a power. Collect Homework Finish Foldable – Power to a Power Head to Head Practice Complete Extended Response Graphic Organizer

  26. Extended Response An 8th grade class is going on a field trip to see a play. For the 27 students going on the trip, the van rentals will cost $545, gas will cost $130, and admission to the play will be $945. Each student has been paying $4 per week to pay for the trip. They now have a total of $864. How many more weeks does each student have to pay $4 to have enough to pay for the entire trip?

  27. Magnificent MondayAugust 19, 2013 Target: I can score an 80% or above on Challenge 1 assessment. Bell Ringer: Simplify using exponents. 1. a • (–4) • b • a • b • (–4) • (–4) Evaluate each expression if g = 2 and h = –3. 2. Write as a fraction. 3. 0.5 repeating

  28. Terrific TuesdayAugust 20, 2013 BELL RINGER: 10 minutes Explain with complete sentences how to change a fraction to a decimal. Explain with complete sentences how to change a decimal to a fraction. Explain with complete sentences how to simplify using the Multiplication Law of Exponents. Explain with complete sentences how to simplify using the Quotient Law of Exponents. YOU MAY USE YOUR NOTES FROM YOUR GRAPHIC ORGANIZERS AND JOURNAL.

  29. 2nd Period Assessment Results: You will retake the exam tomorrow!!! Enrichment: If you mastered you have a puzzle to complete with your group. You will present the results to the class and explain the quote. Re-teach: Everyone else will join me for learning. Bring paper and pencil.

  30. 4th/8thAGENDA Assessment Results: Below 70 will receive ICU. “WHY oh WHY do we have negative exponents. Notes/Math Journal Guided Practice Independent Practice

  31. Wacky WednesdayAugust 21, 2013 2nd/ 4th Periods: I can write monomials with positive exponents. 8th Period: I can convert between fractions and decimals and simplify monomials using the Law of Exponents. Bell Ringer: Simplify using the Laws of Exponents 1. 2. 3.

  32. 2ndPeriod Agenda Challenge 1 Re-take – Allowed time is 30 minutes. Math Journal – Notes Guided Practice

  33. 4th Period Agenda Stand and Check Why oh Why are There Negatives? Zero Exponent Independent Practice

  34. 8th Period Agenda Assessment Results Assessment Corrections Why oh Why are there Negative Exponents?

  35. Tremendous ThursdayAugust 22, 2013 2nd/4th Period: I can convert numbers written in standard form to scientific form. 8th Period: I can convert between decimal to fraction, fraction to decimal and simplify monomials using the Law of Exponents. BELL RINGER: (5 min.) Write as a fraction: 0.66 repeating 2. 0.9 repeating Using a complete sentence, explain the process to simplify the monomials. 3. 4. 5.

  36. 2nd/4th Periods AgendaI can convert numbers in standard form to scientific form. • Opening Activity/Hook: United States Debt Clock • If you were a newspaper or television reporter talking about the debt, how could you modify the total to make it easier to report? • Small Group • Vocabulary: • Scientific Notation: A number written as a product of a factor and an integer power of 10. • Significant Digit: A number from 1 to 9.

  37. 2nd/4th Periods AgendaI can convert numbers in standard form to scientific form. • Notes/Journals: • Scientific notation is in the form of 3.75 x 103 • The factor must be a significant digit. • It is always multiplied by 10 raised to a power. • Drop insignificant digits. • If you begin with a number greater than zero, your exponent is positive. • If you begin with a number less than zero, your exponent is negative.

  38. I can convert numbers in standard form to scientific form. Examples Guided Practice Independent Practice Closure: On a Post-it-Note, round the national debt to the nearest million and convert to scientific notation. When I dismiss you, place your note on the door as you leave.

  39. T.G.I. FridayAugust 23, 2013 2nd/4th Period: I can convert numbers written in scientific form to standard form. 8th Period: I can write monomials with positive exponents. BELL RINGER: Write the monomial with positive exponents. x-4 2. 1 / x-5 Write with positive exponents and evaluate. 3. 8-3 4. 1/3-5

  40. 2nd/4th AgendaI can convert numbers written in scientific form to standard form. Homework Check – Dot Plot State Debt Clock– Rounding and scientific notation Examples Guided Practice Independent Practice

  41. I can convert numbers written in scientific notation to standard form.Write each number in standard form. 1. 6.7 × 2. 6.1 × 3. 1.6 × 4. 3.46 × 5. 2.91 × 6. 8.651 × 7. 3.35 × 8. 7.3 × 9. 1.49 × 10. 4.0027 × 11. 5.2277 × 12. 8.50284 ×

  42. Problem Solving

  43. 8th period AgendaI can write monomials with positive exponents. Assessment Results Why oh Why Are There Negative Exponents? Guided Practice Independent Practice If we have time we will discuss the National Debt Clock and begin scientific notation.

  44. I can write monomials with positive exponents. Write each expression using a positive exponent. 1. 2. 3. 4. 5.6.7.8. Evaluate each expression. 9. 10. 11. 12.

  45. I can write monomials with positive exponents. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. 27. 28.

  46. It’s Monday!!!!August 26, 2013 • 2nd/4th Periods: I can multiply and divide numbers written in scientific form. • 8th Periods: I can convert numbers from scientific form to standard form and the reverse. • BELL RINGER: Write the following with exponents: 1. 2.

  47. 2nd/4th Periods AgendaI can multiply and divide numbers in scientific form. Fluency Practice: Multiplying Fractions Hook - http://www.nationaldebtclocks.org/ Journal- Notes and Examples Guided Practice - Independent Practice – Evens Only. If you don’t finish it is homework. Closure: Why is it helpful to write numbers in different ways?

  48. I can multiply and divide numbers in scientific notation. GUIDED PRACTICE

  49. 8th Period AgendaI can convert numbers from scientific form to standard form and the reverse. Fluency Practice – Multiplying Fractions Math Journals – Vocabulary, Notes, Examples Guided Practice- Independent Practice – Closure: Round the national debt to the nearest million and write it in scientific notation.

  50. I can convert numbers from scientific form to standard and the reverse. GUIDED PRACTICE 9.) 4,400 10.) 75,000 11.) 69,900,000 12.) 575,000,000 13.) 0.084 14.) 0.0099 15.) 0.000000515 16.) 0.0000307

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