UNIT 2 – RATIONAL EXPLORATIONS: APPLY AND EXTEND PREVIOUS UNDERSTANDINGS OF OPERATIONS WITH FRACTIONS AND DECIMALS MCC6.NS.1 MCC6.NS.2 MCC6.NS.3 MCC6.NS.4

MONDAY, SEPTEMBER 29, 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: Classwork: Computer Lab – Odyssey (Unit 2) Homework: Workbook Volume 1 pg. 167 – 170 Due FRIDAY

MONDAY’S WARM-UP SIMPLIFY 15/18 A. 1 3/15 B. 1 1/5 C. 5/6 D. 5/9

TUESDAY, SEPTEMBER 30, 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: Classwork: Divisibility Rules (Quiz Next Week), Factors & Greatest Common Factor Homework: Workbook Volume 1 pg. 167 – 170 Due FRIDAY

TUESDAY’S WARM-UP Find the difference. (You have to have a common denominator) 3/10 - 1/8 = A. 1/10 B. 1/5 C. 7/40 D. 1

TWO NUMBERS MULTIPLIED TOGETHER CREATE A PRODUCT. THE TWO NUMBERS THAT WERE MULTIPLIED TOGETHER ARE CALLED FACTORS OF THE PRODUCT. Factor 1 x Factor 2 = Product Factors will also EVENLY divide into their products. For example, 20 can be evenly divided by 4, so 4 is a factor of 20. Because 4 x 5 = 20, 5 is also a factor of 20. The complete list of factors of 20 are (1,2,4,5,10,20) ** Rules of Divisibility **

COMMON FACTORS ARE THOSE FACTORS THAT 2 OR MORE NUMBERS SHARE, OR HAVE IN COMMON. Example 1: The factors of 10 are (1,2,5,10) The factors of 12 are (1,2,3,4,6,12) The common factors of 10 and 12 are (1,2) List the factors of each number and circle the common factors of each pair: 1.) 16,202.) 45,253.) 9,20 4.) 18,305.) 36,546.) 18,21

THE GREATEST COMMON FACTOR, OR GCF, OF TWO NUMBERS IS THE GREATEST, OR LARGEST, OF THE FACTORS THE TWO NUMBERS HAVE IN COMMON. Example: The factors of 10 are (1,2,5,10) The factors of 12 are (1,2,3,4,6,12) The common factors of 10 and 12 are (1,2) The GCF of 10 and 12 is 2. 1.) GCF of 16 and 206.) GCF of 20 and 8 2.) GCF of 32 and 407.) GCF of 18 and 27 3.) GCF of 6 and 88.) GCF of 40 and 70 4.) GCF of 9 and 129.) GCF of 14 and 35 5.) GCF of 10 and 2510.) GCF of 8,16, and 32

WEDNESDAY, OCTOBER 1, 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: Classwork: Distributive Property Homework: Workbook Volume 1 pg. 167 – 170 Due FRIDAY

WEDNESDAY’S WARM-UP The balance on your savings account is -40, which means that you have $40 of debt. A monthly charge increases the amount of your debt. Which of the following could be your new balance? A.) 50 B.) 30 C.) -30 D.) -50

THE DISTRIBUTIVE PROPERTY IS EXPRESSED AS A(B+C) = AB + AC NOTE THAT A IS MULTIPLIED BY BOTH B AND C ON BOTH SIDES OF HE DISTRIBUTIVE PROPERTY. ANOTHER WAY TO DISCUSS THE DISTRIBUTIVE PROPERTY IS THAT A IS THE COMMON FACTOR FOR THE TWO NUMBERS AB AND AC. Example 2: Rewrite the problem to illustrate the distributive property. Step 1: Find the common factor of both numbers: 12 (1,2,3,4,6,12) 18 (1,2,3,6,9,18) A common factor for 12 and 18 is 6. Step 2: Using the common factor, 6, as one factor, find the other factor for the numbers 12 and 18 by using division. 12 ÷ 6 = 2 and 18 ÷ 6 = 3 Step 3: Display the factors to illustrate the distributive property. 6(2+3) = (6 x 2) + (6 x 3) Practice #’s 13 – 20 (on pg. 2)

DISTRIBUTIVE PROPERTY: EXAMPLE: (2+3) = (6 X 2) + (6 X 3) Illustrate the Distributive Party: 1.) ) ) ) ) ) ) ) ) )

THURSDAY, OCTOBER 2, 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: Classwork: Least Common Multiple pg. 4 Homework: Workbook Volume 1 pg. 167 – 170 Due TOMORROW

THURSDAY’S WARM-UP Which is a list of all the factors of 22? A.) 0, 2, 22 B.) 1, 2, 10, 20 C.) 1, 2, 11, 22 D.) 22, 44, 66, 88

TO FIND THE LEAST COMMON MULTIPLE (LCM) OF TWO NUMBERS, FIRST LIST THE MULTIPLES OF EACH NUMBER. THE MULTIPLES OF A NUMBER ARE 1 TIMES THE NUMBER, 2 TIMES THE NUMBER, 3 TIMES THE NUMBER, AND SO ON. The multiples of 6 are: 6, 12, 18, 24, 30, … The multiples of 10 are: 10, 20, 30, 0, 50, … What is the smallest multiple they both have in common? 30 is the LEAST (smallest number) COMMON MULTIPLE of 6 and 10. Practice #’s 1 – 18 (on pg. 4) If you finish early – work on pg. 5

FIND THE LCM FOR EACH PAIR OF NUMBERS 1.) 6,1511.) 4,18 2.) 12,1612.) 7,5 3.) 18,3613.) 30,45 4.) 7,314.) 3,8 5.) 12,815.) 12,9 6.) 6,816.) 5,45 7.) 4,1417.) 3,5 8.) 9,618.) 4,22 9.) 2,1519.) 8,10 10.) 6,720.) 9,15

FRIDAY, OCTOBER 3, 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: Classwork: Improper Fractions & Mixed Numbers(1.4 – 1.5) pg. 5-6 Homework: Divisibility Quiz Tuesday

FRIDAY’S WARM-UP Which number below is NOT a factor of 36? The factors of 36 are 1,2,3,4,6,9,12,18,36 A.) 12 B.) 9 C.) 8 D.) 2

IMPROPER FRACTION TO MIXED NUMBER Write 13/ 5 as a mixed number. Since 13/5 means 13 ÷ 5, use division to change an improper fraction to a mixed number. Examples: 18/5 23/4 9/2 15/3

MIXED NUMBERS TO IMPROPER FRACTIONS Write 2 3/5 as an improper fraction. - Multiply the denominator by the whole number and add the numerator. -Write the sum over the denominator. 23/5 (5x2 = = 13) 13/5 Examples: 3 2/3 6 3/8 1 ½ 1 2/3

MONDAY, OCTOBER 6, 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: Classwork: Computer Lab – Odyssey (Unit 2) Homework: Divisibility Quiz TOMORROW! Bring Volume 1 Book tomorrow to class.