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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.
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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 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 3 3 2 1
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 bepositive. 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: • 9.678 x 104 • 7.4521 x 10-3 • 8.513904567 x 107 • 4.09748 x 10-5 96780 .0074521 85139045.67 .0000409748
Try changing these numbers from Standard Notation to Scientific Notation: • 9872432 • .0000345 • .08376 • 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 103fartsa year. Write this number in standard notation 9,125
Fact #4 • The average lifespan in the United States today: 27,375days. 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 1011per 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.