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* * Central Tendency: -methods of finding the average of a set of numbers -3 methods: mean, median, mode What is the difference between MEAN, MEDIAN and MODE? You can use these numbers as an example: What is RANGE? 1, 3, 5, 7, 9, 9, 11 * * Central Tendency: -methods of finding the average of a set of numbers -3 methods: mean, median, mode Example set of numbers: 1, 3, 5, 7, 9, 9, 11 Mean: -the sum of the values divided by the number of values Ex. 1+3+5+7+9+9+11 = 45 ÷ 7 = 6.42… or 6 * * Central Tendency: -methods of finding the average of a set of numbers -3 methods: mean, median, mode Example set of numbers: 1, 3, 5, 7, 9, 9, 11 Mean: -the sum of the values divided by the number of values Ex. 1+3+5+7+9+9+11 = 45 ÷ 7 = 6.42… or 6 Median: -the middle value when the values are written in numerical order Ex. 7 is the middle of the range of numbers above * * Central Tendency: -methods of finding the average of a set of numbers -3 methods: mean, median, mode Example set of numbers: 1, 3, 5, 7, 9, 9, 11 Mean: -the sum of the values divided by the number of values Ex. 1+3+5+7+9+9+11 = 45 ÷ 7 = 6.42… or 6 Median: -the middle value when the values are written in numerical order Ex. 7 is the middle of the range of numbers above Mode: -the value that occurs the most often Ex. 9 (from the range above) Range: -the difference of the greatest value and the least value in a set of values Ex. 11 – 1 = 10 The range is 10. Checkpoint: Find the mean, median, mode and range of the following set of data: 85, 96, 72, 88, 95, 80, 86, 72 (Don’t forget to put them in numerical order first!) * Answers: Data: 85, 96, 72, 88, 95, 80, 86, 72 Numerical Order: 72, 72, 80, 85, 86, 88, 95, 96 Mean: 84 Median: 86 Mode: 72 Range: 96 - 72 Record today’s title and Goal Statement into your notebook: 1.7 Multiplying and Dividing Integers - will multiply and divide positive and negative integers *CAN YOU FIND THE MULTIPLYING AND DIVIDING PATTERN? Can you identify a pattern in the second column to complete the column? Check your answers on the next slide to see if you’re correct. *CAN YOU FIND THE MULTIPLYING AND DIVIDING PATTERN? Pattern: You are subtracting 3 each time. *CAN YOU FIND THE MULTIPLYING AND DIVIDING PATTERN? Can you write a rule for when positive integers are multiplied with negative integers? *CAN YOU FIND THE MULTIPLYING AND DIVIDING PATTERN? Can you write a rule for when positive integers are multiplied with negative integers? Answer: The product of a positive and negative integer is negative. *CAN YOU FIND THE MULTIPLYING AND DIVIDING PATTERN? Try: 2(-3) = 1(-3) = 0(-3) = *CAN YOU FIND THE MULTIPLYING AND DIVIDING PATTERN? Answer: The product of a positive and negative integer is negative. Try: 2(-3) = -6 1(-3) = -3 0(-3) = 0 *CAN YOU FIND THE MULTIPLYING AND DIVIDING PATTERN? Use your answers from the previous slide to fill in the first 3 rows in the table below. *CAN YOU FIND THE MULTIPLYING AND DIVIDING PATTERN? Use your answers from the previous slide to fill in the first 3 rows in the table below. *CAN YOU FIND THE MULTIPLYING AND DIVIDING PATTERN? Use your answers from the previous slide to fill in the first 3 rows in the table below. Now find a pattern in the table and complete the rest of the answers. *CAN YOU FIND THE MULTIPLYING AND DIVIDING PATTERN? Use your answers from the previous slide to fill in the first 3 rows in the table below. *CAN YOU FIND THE MULTIPLYING AND DIVIDING PATTERN? Use your answers from the previous slide to fill in the first 3 rows in the table below. How would you complete the following statement? The product of two negative integers is ____________. *CAN YOU FIND THE MULTIPLYING AND DIVIDING PATTERN? Use your answers from the previous slide to fill in the first 3 rows in the table below. How would you complete the following statement? The product of two negative integers is positive. * Multiplying 2 different signs produces a negative answer. positive x negative = negative notebook Multiplying 2 different signs produces a negative answer. positive x negative = negative Multiplying 2 same signs produces a positive answer. positive x positive = positive negative x negative = positive *OYO: Green: 1-9. Blue: 1-10 (p.#41) *You will Check your answers on the next slide. *Solutions to OYO * 1) -9 3) -15 5) -20 7) 40 * 10) The opposite of the opposite of ab is ab; ab. What is the pattern for dividing? Notebook Dividing 2 different signs produces a negative answer. positive ÷ negative = negative Dividing 2 same signs produces a positive answer. positive ÷ positive = positive negative ÷ negative = positive * Try the problems above and then come and show me the answers when you are done. * Green Challenge: (You can use a calculator, but you will need to decide if the answer is positive or negative.) Pgs 44 – 46: 2, 3-25odd, 26, 29-33odd, 47-51odd Green Worksheet Choice: Famous Farming Expression or Zorna and the Pygmy sheet * Blue Challenge: Pg 46: 29-33odd, 37-41odd, 42, 44 1.7 Blue WS * Black Challenge: Pg 46: 29-33odd, 37-41odd, 42, 44 1.7 Black WS