Upload
brice-johns
View
218
Download
1
Tags:
Embed Size (px)
Citation preview
Do Now
Review Quantitative and Qualitative observations
Scientific Notation
1.7 lesson
CRS Standards:
• SIN 402: Understand a simple experimental design
Objectives:
• Recognize and use scientific notation.
• Perform calculations involving scientific notation and conversion factors.
Quick Class Meeting
• Classroom percentages
• Gradebook cleanup week(Come to office hours and/or check
PowerSchool.)-All late work due by 9/23/13
Introduction to Scientific Notation
(3 minutes)
• Directions: Fix this text message, it is too long to send.
“Hello Mrs. Gorham, please help! I do not know what time school starts tomorrow, thanks!”
Rules for Scientific Notation
To be in proper scientific notation the number must be written with* a number between 1 and 10* and multiplied by a power of
ten
23 X 105 is not in proper scientific notation. Why?
When using Scientific Notation, there are two kinds of exponents: positive and negative
Positive Exponent:2.35 x 108
Negative Exponent:3.97 x 10-7
When changing scientific notation to standard notation, the exponent tells you if you should move the decimal:
With a positive exponent, move the decimal to the right:
4.08 x 103 = 4 0 8
Don’t forget to fill in your zeroes!
When changing scientific notation to standard notation, the exponent tells you if you should move the decimal:
With a negative exponent, move the decimal to the left:4.08 x 10-3 = 4 0 8
Don’t forget to fill in your zeroes!
An easy way to remember this is:
• If an exponent is positive, the number gets larger, so move the decimal to the right.
• If an exponent is negative, the number gets smaller, so move the decimal to the left.
The exponent also tells how many spaces to move the decimal:
4.08 x 103 = 4 0 8 In this problem, the exponent is +3, so the decimal moves 3 spaces to the right.
The exponent also tells how many spaces to move the decimal:
4.08 x 10-3 = 4 0 8
In this problem, the exponent is -3, so the decimal moves 3 spaces to the left.
Let’s do some practice problems!
1.
2.
3.
When changing from Standard Notation to Scientific Notation:
1) First, move the decimal after the first whole number:
3 2 5 8
123
3
2) Second, add your multiplication sign and your base (10).
3 . 2 5 8 x 10
3) Count how many spaces the decimal moved and this is the exponent. 3 . 2 5 8 x 10
When changing from Standard Notation to Scientific Notation:
4) See if the original number is greater than or less than one.– If the number is greater than one, the
exponent will be positive.
348943 = 3.489 x 105
– If the number is less than one, the exponent will be negative.
.0000000672 = 6.72 x 10-8
Let’s do some practice problems!
1.
2.
3.
Scientific Notation Poster
• Show a problem in which you are changing from scientific notation to standard form. Also, the exponent is negative.
• Show a problem in which you are changing from scientific notation to standard form. Also, the exponent is positive.
Small group practice10 minutes
• Each table will have one minute to complete the problem at their table.
• Once the timer goes off, tables will rotate clockwise and have one minute to complete the next problem.
• Leaders will stop rotating once they end up back to their original table.
• Then, we will check answers for accuracy.
Try changing these numbers from Scientific Notation to Standard Notation:
1) 9.678 x 104
2) 7.4521 x 10-3
3) 8.513904567 x 107
4) 4.09748 x 10-5
96780
.0074521
85139045.67
.0000409748
Try changing these numbers from Standard Notation to Scientific Notation:
1) 9872432
2) .0000345
3) .08376
4) 5673
9.872432 x 106
3.45 x 10-5
8.376 x 102
5.673 x 103
Scientific Notation Practice(8 minutes)
• Complete scientific notation worksheet (even problems only)
• Work on your answers independently.
Group Game“Human Body Scientific
Notation”• Each group will have a group leader that will
give the answer for their group. • Leaders will be told information about the
human body. Every participant in the group must help solve the problem.
• Once the group has answered the question, the group leader will raise their hand to show the answer.
• Each group that get their answer right will earn 2 points extra credit towards the exit slip and a lynx!
Fact #1
• The lungs contain over 300,000,000 capillaries (tiny blood vessels).
Write number in scientific notation.
3 x 108
Fact #2
• Over a 24-hour period, you lose almost a million skin cells.
Write this number in scientific notation.
1 x 106 or 10 x 105
Fact #3
• The average person farts roughly 25 times a day, multiply that by a year (365 days not including leap years) which gives 9.125 x 103 farts a year.
Write this number in standard notation
9,125
Fact #4
• The average lifespan in the United States today: 27,375 days.
Write the answer in scientific notation.
2.7375 x 104
Fact #5• The number of strands of hair on a human head
varies with color:
BLONDE - 140,000 strandsBROWN - 110,000 strandsBLACK - 108,000 strandsRED - 90,000 strands
Write the number of hairs for black hair in scientific notation.
1.08 x 105
Fact #6
• Red blood cells die at the rate of 2 x 1011 per day but the body produces new cells at an average rate of 9,000 million per hour.
Write in standard notation form.
200,000,000,000
Homework
• Complete Scientific Notation practice problems (1-37).
• Study today’s notes. • Continue studying flash cards.
Exit ticket
• Complete the reteaching worksheet (either even or odd.)
• If you get done early, begin working on homework or read silently.