do now -3 + 6 = hw worksheetaryamath.weebly.com/uploads/2/2/7/8/22782014/8th_grade...-5 - (-4) turns...

September 19, 2014

Do Now

-3 + 6 =

HW

Worksheet

September 19, 2014

Review

Adding and subtracting integers

Think of adding and subtracting integers in terms of football

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If a player loses yards think of it as negative. If a player gains yards think of it as positive.

Ex: -3 + 6

Someone on a team lost 3 yards

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-4 + 8 8 + 4

6 + (-2) -5 + 8

-9 + (-5) 6 + -4

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4 + (-2)

-5 + 10

6 + -9

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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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-4 - 5 -7 - 2

5 - 4 -5 - 3

-3 - 2 6 - 2

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There is one time you do not take the subtraction to mean loss...when you have a subtraction sign followed by a negative

6 - (-3) turns into 6 + 3

-5 - (-4) turns into -5 + 4

then you turn it into a plus

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Let's try a few

-8 - (-2)

5 - (-4)

-9 - (-2)

-3 + 7

-5 - 2

-8 - 2

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Do Now

-8 + 12

Hw

Addition and subtaction of integers

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-5 + 4

-22 + 7

Explain each of these in terms of football

-8 + 13

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-6 + 11

-11 - (-2)

7 + (-4)

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-15 + 20

10 - (-5)

-6 - 11

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-5 x 6

2 x -3

-5 x 6

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Work with Partners on worksheet

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Independent Practice

Exit Ticket

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Do Now 54

Homework

Exponents worksheet

33

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Aim: SWBAT expand upon their current knowledge of exponents by multiplying and dividing numbers that contain exponents

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Exponential Form- When you see a number or variable with an exponent

Standard Form- When an exponent has bee expanded ex: 52 = 25

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Class PollAre the following the same

25 23 x 22

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Why is this true?!?!Associative Property of multiplication

Wherever I put the parenthesis when I multiply it doesn't matter

(2 x 3) x 4 = 2 x (3 x 4)

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25

Because...

24 x 21= = 23 x 22 = 22 x 23 = 21 x 24

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When you are multiplying numbers that have the same base exponents you will add the exponents

53 x 54

75 x 76

a5a7

m4m6

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Practice a few 34 x 38

d6d7

2328

a4a12

f3f19 5154

Challenge Problemsaa8 b5d9

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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!!!!

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5452 62

67

a9a5

b6b4

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Do Now d6d7

b7b5

HomeworkStudy for quiz on Friday

Finish worksheet

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SWBAT evaluate complex problems with exponents

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Let's try some review problems

-4 + 7 -4 - 9

12-(-5) 5 + (-8)

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Anything to the power of 0 is 1

30 = 1

50 = 1a0 = 1

c0 = 1

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If you have an answer with a negative exponent, you can express it in a different way

4-22-3

a-4 c-8

1. Put the number with the power on the denominator

2. Make the numerator 1

3. If asked for in standard form, solve.

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Do Now

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Write out the answers in standard form

9-2 2-3

Write out the answers in exponential form

a-4 10-2

5-3

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Now let's try to combine everything that we know

74 x 7-6 a-5a11

b-7b-5

Even if you have a negative the product rule still applies. Add the exponents together if you have the same base.

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Let's try some together

b-7b5 7-274

g-4g-6 6-362

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Even if you have a negative the quotient rule still applies. Subtract the exponents if you have the same base.

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x3x5

5452

56

59

b-4

b8

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Do Now

x2x-6

Homework

Worksheet

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You must be able to add and subtract integers

-5 + 7

-8 + 12

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6 + -5

-2 + -4

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-5 - 6

3 - 5

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Do NowWhat is -5 + 8

Homework

-3 - 8

Have a great weekend!!!

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-5 + 9 -10 - 5

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-6 - 5 -12 + (-5)

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-7 + 12 -6 - 9

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Do Now

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6a3b2 x 4a5b-4

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-5 - (-7) 7 - (- 9)

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-3 - 5

-4 - (-5)

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x3x11What do I do here?

x6x12

It is no different with these

x2x-4 y-3y-6

Add the first number and the second number

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x5x-7 525-6

4-347 646-6

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How would you do this normally

b12b8

b-4b2

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x-3x2

545-2

58

5-4

b-4

b9

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Challenge Problems

a-7a9a-2g5g-8b7

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Do Nowg-5g2

Homework

Power Rule WorksheetQuiz Wednesday

g-5g9

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

5-35-2

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Extend your knowledge

Can you think of 2 variables when multiplied get you a9

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The power rule

(a6)5

If you are raising a power

to another power, then you

multiply the exponents

Example:

= a30

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(g7)5 (42)4

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What about these?!?!

(y-3)7 (5-2)-3

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`

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h7h-5

j4j-8

(g6)-3

(44)6

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Do Now

HW

September 19, 2014

Springboard 1.5

September 19, 2014

Do Now

x3x-5

Homework

Scientific Notation worksheet

Get progress reports signed

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September 19, 2014

If I have the number

124,683,124 what does each place represent.

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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



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623,125 6,731,124

8,123,686 412,123,134

Try as a class!!!

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• 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.

Scientific Notation

September 19, 2014

Write the following number in scientific notation 164323

What about 140

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Try on your own!!!

125,342,121 21234

110

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Challenge Problem

John's car weighs 125,221 pounds. Express this number in scientific notation

Eric's car weighs 1.5 x 104 pounds. Kamaal's car weighs 2.7 x 103 pounds. Whose cars weighs more?

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You can also use scientific notation for very small numbers

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.22345

What does each digit represent?

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.0032 .0007

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.00012 .0213

.0003 .002

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Do Now

Write .00234 in scientific notation

Homework

September 19, 2014

Some of us still not understanding scientific notation.

Turning big to something writable

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1230000 .00235

.00053 .0004

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.002313013

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Challenge Problem

2456.5 6.86

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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 exponent. Move that many places to the le= if it is a nega%ve exponent.

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1.6 x 105

1.3 x 104

1.231 x 103

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1.4 x 104 7.1 x 104

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1.2 x 10-4

How do you think I would solve this

1.3 x 10-5

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1.6 x 10-6 3.4 x 10-2

Do Now

September 19, 2014

Challenge Problems

1.2 x 103 120000

< > < > ==

.00036 3.6 x 10-4

September 19, 2014

Challenge Problems

Josh's car weighs 1.23 x 103 pounds what is the weight of the car?

September 19, 2014

Aim: SWBAT multiply numbers in scientific notation.

September 19, 2014

Before we start let's review a few old questions

4s3 x 2s-4

September 19, 2014

Multiplying numbers in scientific notation

(4.3 x 104) (5.2 x 106)

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.

September 19, 2014

(4.3 x 104) (5.2 x 106)

(6.2 x 104)(1.2 x 103)

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(2.64 x 106) (4.1 x 104)

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September 19, 2014

Do Now

Homework

Start studying for test

6.12 x 104 in standard formGet calculators

mraryasmathclass.weebly.com

September 19, 2014

We have a bit to review...that we forgot on Exit Tickets

Convert from standard to scientific

182,000 .0023

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Convert from scientific to standard

2.78 x 105 3.56 x 10-4

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(4.2 x 103)(3.5 x 102)

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(2.45 x 10-3)(3.12 x 10-8)

(3.2 x 10-7)(5.23 x 102)

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September 19, 2014

Challenge Problems

(4.6 x 10-2)(2.1 x 10-3)

(2.3 x 10-5)(5.1 x 10-3)

September 19, 2014

There are (3.4 x 104) Toyota cars. Each car weighs (2.1 x 103) pounds. What is the total weight of all of the cars?

There are (5.1 x 102) pencils in each box in a warehouse. There are (2.4 x 104) boxes. How many pencils are there total?

September 19, 2014

` q

September 19, 2014

do now -3 + 6 = hw worksheetaryamath.weebly.com/uploads/2/2/7/8/22782014/8th_grade...-5 - (-4) turns...

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