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 10 5 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 10 8 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 10 3 = 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 = 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 10 3 = 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 = In this problem, the exponent is -3, so the decimal moves 3 spaces to the left.

Let’s do some practice problems!

When changing from Standard Notation to Scientific Notation: 1) First, move the decimal after the first whole number: ) Second, add your multiplication sign and your base (10) x 10 3) Count how many spaces the decimal moved and this is the exponent 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 = x 10 5 –If the number is less than one, the exponent will be negative = 6.72 x 10 -8

Let’s do some practice problems!

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 practice 10 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 ) x ) x ) x

Try changing these numbers from Standard Notation to Scientific Notation: 1) ) ) ) x x x x 10 3

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 10 8

Fact #2 Over a 24-hour period, you lose almost a million skin cells. Write this number in scientific notation. 1 x 10 6 or 10 x 10 5

Fact #3 The average person farts roughly 25 times a day, multiply that by a year (365 days not including leap years) which gives x 10 3 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 x 10 4

Fact #5 The number of strands of hair on a human head varies with color: BLONDE - 140,000 strands BROWN - 110,000 strands BLACK - 108,000 strands RED - 90,000 strands Write the number of hairs for black hair in scientific notation x 10 5

Fact #6 Red blood cells die at the rate of 2 x 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.