integer not an integer Directions: Classify each number as an integer or not an integer. September 19, 2014

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1 Directions: Classify each number as an integer or not an integer ¾ π ½ ¾ integer not an integer 1

2 Directions: Insert an equality symbol(<, >) between the following signed numbers: 1) 3 5 2) ) ) ) 6 3 6) ) ) 8 8 8) )

3 Directions: Order the integers from least to greatest Answer: 3

4 educational movies/free online movies.php? movie=absolute%20values Absolute Value The distance a number is from zero on the number line. *Think* - the amount of spaces from zero Symbol ~ l # l Examples ~ l 6 l l -6 l -l 6 l -l -6 l **Answer does not have absolute value bars** 4

5 Comparing with Absolute Value **Find absolute value first. Then compare integers. Compare using <, >, or =. 1. l -6 l 5 2. l -8 l l -13 l 5

6 Find the value (-3) (-3) **Can you explain how you determined the answer? 6

7 Rules for Adding Integers 1) When the integers have the same sign, add the values and use the same sign. Example: = = 8 2) When the integers have different signs, find the difference of (larger - smaller). Then use the sign of the larger number. Example: = ( 11) = 2 7

8 Combining Integers Directions: Find the sum of the integers = = = = = = ( 3) = 5 8

9 Word Problems 1) A construction worker was 8 feet under the ground. He went up 12 feet. How many feet is the construction worker above ground? A 20 B 20 C 4 D 4 2) The temperature in Maine was o 5C at 2:00 A.M. The temperature decreased o 3C per hour. What was the temperature at 6:00 A.M.? A) 5 o C B) 6 o C C) 7 o C D) 17 o C 9

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11 Find the value (-3) **Can you explain how you determined the answer? 11

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13 Subtracting Integers 1) Same, change, change 2) Follow addition rules. Note: A double negative equals a positive. Examples: 3 ( 4) = = = = 1 13

14 Combining Integers (Subtracting Integers) Directions: Find the difference ) 3 8 = 5 2) = 15 3) = 29 4) 3 ( 15) = 18 5) 43 ( 4) = 39 6) 7 ( 34) = 27 14

15 Challenge **Same change change for each subtraction sign (-33) (-56) (-104) 15

16 Extra Challenge (-55) (-43) - (-8) (-12)

17 Calculating Change Mount Whitney in California has an elevation of 14,494 feet above sea level. Death Valley in California has an elevation of 282 feet below sea level. What is the difference between these elevations if you climbed down from Mount Whitney to Death Valley? Difference Elevation of Elevation of or = Death Valley - Mt. Whitney Change 17

18 Find the change in temperature or elevation. **Switch the order and then subtract. 1. From -26 to From -140 ft to -57 ft 3. From 33 m to -71 m 4. From -4 to

19 Evaluating Expressions with Integers 1. Write original expression. 2.Use parenthesis to plug in for variables. 3. Solve a = -5 b = 6 c = a - b c - (-20) 3. abc **Double negative becomes a positive** 4. -a + b 19

20 PRACTICE QUIZ 1) 4 ( 12) = 2) 21 3 = 3) 6 7 = 4) 12 ( 5) = 5) 4 ( 7) = 6) ( 6)= 7) = 8) 21 + ( 10) + ( 3) = 20

21 bin/nl.cgi?a1=c&a2=4&a3=1&a4=[1][0][ 1][0]&A11=1&A12= bin/osa.cgi?a1=c&a2=4&a3=12.00&a4=7.00&a5=[21][3][7][5 [2][5][5][1][5][0][0][5][7][2][ 9][6][0][1]&A6=[0][2][8][1][2][8][40][3][5][0][1][0][4][2][4][4 [1][2]&A7=[0][0][1][2][3][2][4][1][4][2][1][ 2][0][3][4][ 35][3][5]&A8=[ 10][3][2][2][1][2][9 [1][5][ 18][3][3][5][2][9][4][2][3]&A9=[9][1][7][0][3][7][ 5][0][3][8][1][1][0][0][4][4][0][ 8] &A13= &A14=4&A15=3&A16=8.00&A18=1&A19 3&A10=[7][2][9][5][2][2][5][0][7][ 4][1][3][0][1][0][2][2][0] 21

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26 Study Multiplication Facts!!! 26

27 Team Poster Checklist Team name (Related to topic). Names of team members (on the front). At least one example of where the topic is seen in the real world (can use word or picture). At least one profession/career that would use the skills from the topic (can use word or picture). Colorfully decorated. Neat and organized. 27

28 **Some important info ** ~ Evaluating Expressions~ *solve by plugging in for variable 1. Use parenthesis when you plug in number for variable. 2. Solving following order of operations *Operations* c (5)(3) 5 3 d 28

29 ~ Order of operations ~ 1. Parenthesis (Must follow order of operations inside) 2. Exponents 3. Multiply or Divide (Work left to right) 4. Add or Subtract (Work left to right) ~ Examples ~ 1. 8(17-2) [36 - (-13+9)]

30 ~ Exponents ~ 5 3 exponent base factors *squared - second power *cubed - third power *Examples* *Exponents with negative signs* -4 2 (-4) 2 odd and even # of powers 30

31 Evaluate if x = 4, y = 2 and z = x - z y 2. 4z - y 2 + xy 31

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