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Unit 1 – Rational Explorations: Numbers and their Opposites

Unit 1 – Rational Explorations: Numbers and their Opposites. MCC6.NS.5 MCC6.NS.6 MCC6.NS.7 MCC6.NS.8. MONDAY , AUGUST 12, 2013. COME IN QUIETLY AND SIT IN YOUR ASSIGNED SEAT. FILL OUT YOUR AGENDA AND HAVE IT OUT FOR ME TO SIGN. COMPLETE THE FOLLOWING WARM-UP IN YOUR COMPOSITION BOOK:

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Unit 1 – Rational Explorations: Numbers and their Opposites

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  1. Unit 1 – Rational Explorations: Numbers and their Opposites MCC6.NS.5 MCC6.NS.6 MCC6.NS.7 MCC6.NS.8

  2. MONDAY , AUGUST 12, 2013 COME IN QUIETLY AND SIT IN YOUR ASSIGNED SEAT. FILL OUT YOUR AGENDA AND HAVE IT OUT FOR ME TO SIGN. COMPLETE THE FOLLOWING WARM-UP IN YOUR COMPOSITION BOOK: Classwork: Syllabus and Integers Pre-Test pg. 34-35 Homework: Weekly Basics due Friday Get Syllabus Signed

  3. MONDAY’S WARM-UP Which list shows all of the factors of 32? A 1, 2, 4, 8, 16, 32 B 2, 3, 4, 8, 16, 32 C 1, 4, 6, 8, 16, 32 D 3, 4, 6, 8, 16, 32

  4. TUESDAY , AUGUST 13, 2013 COME IN QUIETLY AND SIT IN YOUR ASSIGNED SEAT. FILL OUT YOUR AGENDA AND HAVE IT OUT FOR ME TO SIGN. COMPLETE THE FOLLOWING WARM-UP IN YOUR COMPOSITION BOOK: Classwork: AIMSWEB Testing / Math Vocabulary Homework: Weekly Basics due Friday

  5. TUESDAY’S WARM-UP Which number is divisible by both 6 and 8? A 12 B 18 C 24 D 30

  6. Math Vocabulary Rational Number – numbers that can be written as a fraction. Integer – a whole number that can be either greater or less than zero. Positive Integers – Integers greater than zero. Negative Integers – Integers less than zero. Number Line – Integers ordered from smallest to largest (left to right). Zero– the exact middle of all numbers. Has no value. Opposite – numbers that are equal distance from zero.

  7. WEDNESDAY , AUGUST 14, 2013 COME IN QUIETLY AND SIT IN YOUR ASSIGNED SEAT. FILL OUT YOUR AGENDA AND HAVE IT OUT FOR ME TO SIGN. COMPLETE THE FOLLOWING WARM-UP IN YOUR COMPOSITION BOOK: Classwork: 3.3 Rational #’s and Integers (pg. 26 – 28) Homework: $1 for Fashion Show Weekly Basics due Friday

  8. WEDNESDAY’S WARM-UP (HUMP day) Leslie has 15/25 of a puzzle completed. She completes 5/25 more. How much of the puzzle is now completed? • 4/10 • ½ • 2/3 • 4/5

  9. Rational Numbers (3.1 – 3.3) Rational Numbers are numbers that can be written as a fraction. Rational Numbers include: whole numbers, zero, positive & negative integers, positive & negative fractions, positive & negative decimals (non-repeating decimals) Example: 3 , -5 Negative Rational Numbers are numbers that can be written as a fraction that have a value less than zero. Examples: -5, -8, -999, - ½ , - 7/10 , etc. Integer is a whole number that can be either greater or less than zero. Examples: {…, -4, -3, -2, -1, 0, 1, 2, 3, 4, …}

  10. Rational Numbers (3.1 – 3.3) Integers greater than zero are called positive integers. Positive integers represent changes that result in an INCREASE or greater number. In standard form a positive integer is given a + sign or no sign at all. For example: imagine you decide to deposit $50 into your savings account. The $50 would be considered “positive” or +50 because it would increase your savings account balance. Integers less than zero are called negative integers. Negative integers also represent changes that result in a DECREASE or smaller number. In standard form, negative integers are written with a -sign in front of them. For example, twenty degrees below zero is written - 20° Zero is neither positive nor negative.

  11. Rational Numbers (3.1 – 3.3) On a number line integers are ordered smallest to largest (left to right). So, negative integers, those less than zero, are found left of zero while positive integers, those greater than zero, are located right of zero. Number lines continue in both positive and negative directions. Two or more integers are compared by looking at their position on the number line. The number on the right is always greater than the number on the left. Examples: +2 and -1 -6 and -3

  12. THURSDAY , AUGUST 15, 2013 COME IN QUIETLY AND SIT IN YOUR ASSIGNED SEAT. FILL OUT YOUR AGENDA AND HAVE IT OUT FOR ME TO SIGN. COMPLETE THE FOLLOWING WARM-UP IN YOUR COMPOSITION BOOK: Classwork: 3.4 – 3.5 Opposites & Integer Word Problems (pg. 28 – 30) Homework: Weekly Basics due TOMORROW

  13. THURSDAY’S WARM-UP What are the next three numbers in the sequence 3, 7, 11, 15? A 3, 7, 11 B 11, 7, 3 C 19, 23, 27 D 10, 13, 16

  14. Opposites & Word Problems(3.4 – 3.5) Zero is the exact middle of all numbers. Zero has no value. All negative numbers are to the left of zero and all positive numbers are to the right of zero. Numbers that are equal distance from zero are opposites. For example, +3 and -3 are opposites because they both name spaces three units from zero. Integers are used to describe opposite relationships also, like +/-, up/down, increase/decrease, gain/loss, spend/save, deposit/withdrawal. Example 2:

  15. FRIDAY , AUGUST 16, 2013 COME IN QUIETLY AND SIT IN YOUR ASSIGNED SEAT. FILL OUT YOUR AGENDA AND HAVE IT OUT FOR ME TO SIGN. COMPLETE THE FOLLOWING WARM-UP IN YOUR COMPOSITION BOOK: Classwork: Finish 3.5 on pg. 30 / 3.6 on pg. 31 Homework: Vocab Quiz and Ch.3 Test - Tuesday

  16. FRIDAY’S WARM-UP If there are 16 paws, how many puppies are there? A 3 puppies B 4 puppies C 5 puppies D 6 puppies

  17. MONDAY , AUGUST 19, 2013 COME IN QUIETLY AND SIT IN YOUR ASSIGNED SEAT. FILL OUT YOUR AGENDA AND HAVE IT OUT FOR ME TO SIGN. COMPLETE THE FOLLOWING WARM-UP IN YOUR COMPOSITION BOOK: Classwork: Chapter 3 Review Homework: Vocab Quiz and Ch.3 Test TOMORROW Weekly Basics Due Friday

  18. MONDAY’S WARM-UP Put the following set of numbers in order from least to greatest. -⅞, -3, - ½, -13 A - ½ , - ⅞ , -3, -13 B -13, -3, - ⅞, - ½ C - ½ , - ⅞ , -13, -3 D -3, -13, - ½ , - ⅞

  19. TUESDAY , AUGUST 20, 2013 COME IN QUIETLY AND SIT IN YOUR ASSIGNED SEAT. FILL OUT YOUR AGENDA AND HAVE IT OUT FOR ME TO SIGN. COMPLETE THE FOLLOWING WARM-UP IN YOUR COMPOSITION BOOK: Classwork: Chapter 3 TEST and Vocab QUIZ Homework: Weekly Basics Due Friday

  20. TUESDAY’S WARM-UP Fill in the box with the proper sign( <, >, or =) - ⅗ _____ - ⅞ A > B < C = D > and <

  21. Math Vocabulary Rational Number – numbers that can be written as a fraction. Integer – a whole number that can be either greater or less than zero. Positive Integers – Integers greater than zero. Negative Integers – Integers less than zero. Number Line – Integers ordered from smallest to largest (left to right). Zero– the exact middle of all numbers. Has no value. Opposite – numbers that are equal distance from zero.

  22. Vocabulary Quiz 1.) The exact middle of all numbers. Has no value. 2.) Integers less than zero. 3.) A whole number that can be either greater or less than zero. 4.) Numbers that are equal distance from zero. 5.) Integers ordered from smallest to largest (left to right). 6.) Integers greater than zero. 7.) Numbers that can be written as a fraction.

  23. WEDNESDAY , AUGUST 21, 2013 COME IN QUIETLY AND SIT IN YOUR ASSIGNED SEAT. FILL OUT YOUR AGENDA AND HAVE IT OUT FOR ME TO SIGN. COMPLETE THE FOLLOWING WARM-UP IN YOUR COMPOSITION BOOK: Classwork: Chapter 4 Pre-Test Homework: Weekly Basics Due Friday

  24. WEDNESDAY’S WARM-UP Multiply 5/6 x 9/10 (always simplify/reduce) A.) 4/5 B.) ¾ C.) ½ D.) ⅓

  25. THURSDAY , AUGUST 22, 2013 COME IN QUIETLY AND SIT IN YOUR ASSIGNED SEAT. FILL OUT YOUR AGENDA AND HAVE IT OUT FOR ME TO SIGN. COMPLETE THE FOLLOWING WARM-UP IN YOUR COMPOSITION BOOK: Classwork: 4.1 – 4.2 Graphing on a Number Line (pg. 36 - 37) Homework: Weekly Basics Due Friday

  26. THURSDAY’S WARM-UP Add 4/15 + 9/10 *Reminder – find common denominator. Always simplify* A.) 1 1/20 B.) 1 1/6 C.) 1 1/5 D.) 2 1/12

  27. Graphing on a Number Line (4.1 – 4.2) Number Lines allow you to graph values of positive and negative real numbers as well as zero. Number lines can be horizontal or vertical. Example 1: What number does point A represent on the number line ? Example 2: What number does point B represent on the number line ? A 0 1 2 3 B -3 -2 -1 0

  28. FRIDAY , AUGUST 23, 2013 COME IN QUIETLY AND SIT IN YOUR ASSIGNED SEAT. FILL OUT YOUR AGENDA AND HAVE IT OUT FOR ME TO SIGN. COMPLETE THE FOLLOWING WARM-UP IN YOUR COMPOSITION BOOK: Classwork: 4.3 Improper Fractions and Decimals on a Number Line (pg. 38 - 39) Homework: Weekly Basics Due Friday

  29. FRIDAY’S WARM-UP Molly has $38 in her savings account. If she makes a deposit of $22, what will her new balance be? A $50 B $60 C $65 D $70

  30. Improper Fractions and Decimals on a Number Line (4.3) Improper fractions and decimal values can also be plotted on a number line. Example 3 : Where would 4/3 fall on the number line below? Example 4: Plot the value of - 1.75 on the number line below.

  31. MONDAY , AUGUST 26, 2013 COME IN QUIETLY AND SIT IN YOUR ASSIGNED SEAT. FILL OUT YOUR AGENDA AND HAVE IT OUT FOR ME TO SIGN. COMPLETE THE FOLLOWING WARM-UP IN YOUR COMPOSITION BOOK: Classwork: COMPUTER LAB - ODYSSEY Homework: Weekly Basics Due Friday

  32. THURSDAY’S WARM-UP Which of the following is a prime factor of 27? A. 1 B. 3 C. 9 D. 54

  33. FRIDAY’S WARM-UP Twenty-five of the flowers in a vase are red. There are 44 flowers in the vase. What percent of the flowers are red? A. 57% B. 19% C. 24% D. 33%

  34. MONDAY’S WARM-UP Cathy needs to arrange flowers into vases. She has 56 flowers. Each vase needs an equal number of flowers. Which could be the number of flowers Cathy can arrange into each vase? A. 3 B. 6 C. 7 D. 9

  35. TUESDAY’S WARM-UP Which of these is a prime number? A. 6 B. 11 C. 27 D. 40

  36. WEDNESDAY’S WARM-UP 10 in. 5 in. What is the ratio of the areas of the two squares? A 2:1 B 4:1 C 6:1 D 10:1

  37. THURSDAY , MARCH 28, 2013 COME IN QUIETLY AND SIT IN YOUR ASSIGNED SEAT. FILL OUT YOUR AGENDA AND HAVE IT OUT FOR ME TO SIGN. COMPLETE THE FOLLOWING WARM-UP IN YOUR COMPOSITION BOOK: Classwork: 4.4 & 4.5 Plotting Points on a Vertical Number Line (pg. 40 - 41) Homework: Division Worksheet due Tomorrow – Must Show Work!

  38. THURSDAY’S WARM-UP 10 in. 5 in. What is the ratio of the perimeters of the two squares? A 2:1 B 4:1 C 6:1 D 8:1

  39. Plotting Points on a Vertical Number Line Number lines can also be drawn up and down (vertical) instead of across the page (horizontal). You plot points on a vertical number line the same way as you do on a horizontal number line. H G F E D C B A

  40. FRIDAY , MARCH 29, 2013 COME IN QUIETLY AND SIT IN YOUR ASSIGNED SEAT. FILL OUT YOUR AGENDA AND HAVE IT OUT FOR ME TO SIGN. COMPLETE THE FOLLOWING WARM-UP IN YOUR COMPOSITION BOOK: Classwork: 4.6 & 4.7 Absolute Value (pg. 42 – 43) Homework:

  41. FRIDAY’S WARM-UP A sixth-grade class has 14 boys and 12 girls. What is the ratio of girls to the total number of students in the class? A 13:6 B 6:13 C 7:13 D 26:12

  42. Absolute Value (4.6 – 4.7) The absolute vale of a number is the distance the number is from zero on the number line. The absolute value of 6 is written |6|. |6| = 6 The absolute value of – 6 is written |- 6|. |- 6| = 6 The absolute value of - |- 6| or - |6| is - 6, because the negative sign is on the outside of the absolute value sign. Both 6 and - 6 are the same distance, 6 spaces, from zero so their absolute value is the same: 6. Examples: |- 4| = _____ |9| - |8| = _________ - |- 4| = _______ |6| - |- 6| = ________ |- 9| + 5 = _______ |- 5| + |- 2| =

  43. MONDAY , APRIL 1 , 2013 COME IN QUIETLY AND SIT IN YOUR ASSIGNED SEAT. FILL OUT YOUR AGENDA AND HAVE IT OUT FOR ME TO SIGN. COMPLETE THE FOLLOWING WARM-UP IN YOUR COMPOSITION BOOK: Classwork: Computer Lab – Unit 7 (Numbers & Their Opposites) Homework: CRCT PRACTICE - ALGEBRA

  44. MONDAY’S WARM-UP A recipe for punch calls for 4 parts club soda to 3 parts juice. How much juice is needed for 32 ounces of club soda? A 24 oz B 29 oz C 33 oz D 44 oz

  45. TUESDAY , APRIL 2 , 2013 COME IN QUIETLY AND SIT IN YOUR ASSIGNED SEAT. FILL OUT YOUR AGENDA AND HAVE IT OUT FOR ME TO SIGN. COMPLETE THE FOLLOWING WARM-UP IN YOUR COMPOSITION BOOK: Classwork: 5.1 Coordinate System (pg. 54 – 55) Homework: CRCT PRACTICE - ALGEBRA

  46. TUESDAY’S WARM-UP A bakery has a recipe that makes 20 dozen oatmeal cookies. The recipe uses 30 cups of flour. How many cups of flour are needed to make only 3 dozen cookies? A 4 cups B 4 ½ cups C 5 cups D 5 ½ cups

  47. Coordinate Plane allows you to graph points with 2 values. The horizontal line is the x-axis. The vertical line is the y-axis. The point where the x and y axes intersect is called the origin. Each point graphed on the plane is designated by an ordered pair or coordinates. For example (2,-1) Remember: The first number always tells you how far to go right or left of 0, and the second number always tells you how far to go up or down from 0.

  48. WEDNESDAY , APRIL 3 , 2013 COME IN QUIETLY AND SIT IN YOUR ASSIGNED SEAT. FILL OUT YOUR AGENDA AND HAVE IT OUT FOR ME TO SIGN. COMPLETE THE FOLLOWING WARM-UP IN YOUR COMPOSITION BOOK: Classwork: 5.2 Ordered Pairs (pg. 55 – 57) Homework: CRCT PRACTICE - ALGEBRA

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