September 19, Do Now = Worksheet

Transcription

1 Do Now = HW Worksheet

2 Review Adding and subtracting integers Think of adding and subtracting integers in terms of football

3 If a player loses yards think of it as negative. If a player gains yards think of it as positive. Ex: Someone on a team lost 3 yards

4 (-2) (-5)

5 4 + (-2)

6 Think of subtraction in the same way. Think of the subtraction sign as lost yards EXCEPT in one case (I will explain that soon) -3-8 Someone lost 3 yards and then lost 8 more yards.

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8 There is one time you do not take the subtraction to mean loss...when you have a subtraction sign followed by a negative then you turn it into a plus 6 - (-3) turns into (-4) turns into

9 Let's try a few -8 - (-2) (-4) (-2) -8-2

10 Do Now Hw Addition and subtaction of integers

11 Explain each of these in terms of football

12 (-2) 7 + (-4)

13 (-5) -6-11

14 -5 x 6-5 x 6 2 x -3

15 Work with Partners on worksheet September 19, 2014

16 Independent Practice Exit Ticket

17 Do Now Homework Exponents worksheet

18 Aim: SWBAT expand upon their current knowledge of exponents by multiplying and dividing numbers that contain exponents September 19, 2014

19 Exponential Form- When you see a number or variable with an exponent Standard Form- When an exponent has bee expanded ex: 5 2 = 25

20 Class Poll Are the following the same x 2 2

21 Why is this true?!?! Associative Property of multiplication (2 x 3) x 4 = 2 x (3 x 4) Wherever I put the parenthesis when I multiply it doesn't matter

22 2 5 = 2 4 x 2 1 = 2 3 x 2 2 = 2 2 x 2 3 = 2 1 x 2 4 Because...

23 When you are multiplying numbers that have the same base exponents you will add the exponents 5 3 x 5 4 a 5 a x 7 6 m 4 m 6

24 Practice a few 3 4 x 3 8 d 6 d a 4 a 12 f 3 f Challenge Problems aa 8 b 5 d 9

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28 If you add when you are multiplying exponents with the same base, what do you think you do when you are dividing exponents with the same base Subtract!!!!

29 a 9 b 6 a 5 b 4

30 Do Now d 6 d 7 b 7 b 5 Homework Study for quiz on Friday Finish worksheet

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32 SWBAT evaluate complex problems with exponents September 19, 2014

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35 Let's try some review problems (-5) 5 + (-8)

36 Anything to the power of 0 is = = 1 a 0 = 1 c 0 = 1

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39 If you have an answer with a negative exponent, you can express it in a different way 1. Put the number with the power on the denominator 2. Make the numerator 1 3. If asked for in standard form, solve a -4 c -8

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45 Do Now September 19, 2014

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66 Write out the answers in exponential form a Write out the answers in standard form

67 Write out the answers in exponential form a Write out the answers in standard form

68 Now let's try to combine everything that we know Even if you have a negative the product rule still applies. Add the exponents together if you have the same base. 7 4 x 7-6 a -5 a 11 b -7 b -5

69 Let's try some together b -7 b g -4 g

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71 Even if you have a negative the quotient rule still applies. Subtract the exponents if you have the same base. September 19, 2014

72 x 3 x b b 8

73 Do Now x 2 x -6 Homework Worksheet

74 You must be able to add and subtract integers

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77 Do Now What is Homework Have a great weekend!!!

78 September 19, 2014

79 (-5) September 19, 2014

80 September 19, 2014

81 Do Now September 19, 2014

82 6a 3 b 2 x 4a 5 b -4 September 19, 2014

83 -5 - (-7) 7 - (- 9) September 19, 2014

84 (-5)

85 What do I do here? x 3 x 11 Add the first number and the second number x 6 x 12 It is no different with these x 2 x -4 y -3 y -6

86 x 5 x

87 How would you do this normally b 12 b 8 b -4 b 2

88 x -3 x 2 b -4 b

89 Challenge Problems g 5 g -8 b 7 a -7 a 9 a -2

90 Do Now g -5 g 2 g -5 g 9 Homework Power Rule Worksheet Quiz Wednesday

91 Let's try a few problems...break down the steps

92 Extend your knowledge Can you think of 2 variables when multiplied get you a 9

93 The power rule If you are raising a power to another power, then you multiply the exponents Example: (a 6 ) 5 = a 30

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95 (g 7 ) 5 (4 2 ) 4 September 19, 2014

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97 What about these?!?! (y -3 ) 7 (5-2 ) -3

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106 h 7 h -5 (g 6 ) -3 (4 4 ) 6 j 4 j -8

107 Do Now HW

108 Springboard 1.5 September 19, 2014

109 Do Now x 3 x -5 Homework Scientific Notation worksheet Get progress reports signed

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111 If I have the number 124,683,124 what does each place represent.

112 What do I have to do from one place to the next place? What do I multiply to get from the 1s place to the 10s place What do I multiply to get from the 10s place to the 100s place What do I multiply to get from the 100s place to the 1000s place

113 Try as a class!!! 623,125 6,731,124 8,123, ,123,134

114 Scientific Notation Move the decimal over to get a number greater than or equal to 1 and less than 10. Write non-zero numbers after the decimals Multiply that number by 10 to a certain power To find the power count all the digits up to the decimal point and this is the power If the number is less than 1 then it will be the same exponent but negative.

115 Write the following number in scientific notation What about 140

116 Try on your own!!! 125,342,

117 Challenge Problem John's car weighs 125,221 pounds. Express this number in scientific notation Eric's car weighs 1.5 x 10 4 pounds. Kamaal's car weighs 2.7 x 10 3 pounds. Whose cars weighs more?

118 You can also use scientific notation for very small numbers September 19, 2014

119 What does each digit represent?.22345

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121 September 19, 2014

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123 Do Now Write in scientific notation Homework

124 Some of us still not understanding scientific notation. Turning big to something writable

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127 Challenge Problem

128 Iden%fy the power the 10 is raised to in scien%fic nota%on Move decimal over that many places to the right if it is a posi%ve exponen Move that many places to the le= if it is a nega%ve exponent.

129 1.231 x x x 10 4

130 1.4 x x 10 4 September 19, 2014

131 How do you think I would solve this 1.2 x x 10-5

132 Do Now 1.6 x x 10-2

133 Challenge Problems < > < > = = 1.2 x x 10-4

134 Challenge Problems Josh's car weighs 1.23 x 10 3 pounds what is the weight of the car?

135 Aim: SWBAT multiply numbers in scientific notation. September 19, 2014

136 Before we start let's review a few old questions 4s 3 x 2s -4

137 Multiplying numbers in scientific notation 1. Multiply the first set of numbers 2. Multiply the exponents 3. If you have a number greater than 10 move the decimal over the correct number of spaces to get a number between 1 and 10. (4.3 x 10 4 ) (5.2 x 10 6 )

138 (4.3 x 10 4 ) (5.2 x 10 6 ) (6.2 x 10 4 )(1.2 x 10 3 )

139 (2.64 x 10 6 ) (4.1 x 10 4 ) September 19, 2014

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141 Do Now 6.12 x 10 4 in standard form Get calculators Homework Start studying for test mraryasmathclass.weebly.com

142 We have a bit to review...that we forgot on Exit Tickets Convert from standard to scientific 182,

143 Convert from scientific to standard 2.78 x x 10-4

144 (4.2 x 10 3 )(3.5 x 10 2 ) September 19, 2014

145 (2.45 x 10-3 )(3.12 x 10-8 ) (3.2 x 10-7 )(5.23 x 10 2 )

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148 Challenge Problems (4.6 x 10-2 )(2.1 x 10-3 ) (2.3 x 10-5 )(5.1 x 10-3 )

149 There are (3.4 x 10 4 ) Toyota cars. Each car weighs (2.1 x 10 3 ) pounds. What is the total weight of all of the cars? There are (5.1 x 10 2 ) pencils in each box in a warehouse. There are (2.4 x 10 4 ) boxes. How many pencils are there total?

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