 Objectives: ◦ Today I will be able to:  Apply scientific notation to problem solving.  Calculate multiplication and division problems using scientific notation.  Apply dimensional analysis to solving metric coversions  Informal Assessment – monitoring student interactions as they complete the scientific notation practice  Formal assessment – math assessment/scientific notation practice and exit ticket  Common Core Connection ◦ Make sense of problem and persevere in solving them ◦ Model with mathematics

 Evaluate: Warm-Up  Explain: Scientific Notation Notes  Elaborate: Scientific Notation Practice  Explain: Dimensional Analysis Notes  Elaborate: Dimensional Analysis Practice  Evaluate: Exit Ticket

 Place the following numbers into scientific notation ◦ m ◦ 5200 g ◦ 0.04 L  What is the purpose of putting numbers into scientific notation?

 Today I will be able to:  Apply scientific notation to problem solving.  Calculate multiplication and division problems using scientific notation.  Apply dimensional analysis to solving metric coversions

 Complete the dimensional analysis practice  Wear closed toed shoes for lab on Wednesday and Thursday

 Warm-Up  Scientific Notation Notes  Scientific Notation Practice  Dimensional Analysis Notes  Dimensional Analysis Practice  Exit Ticket

 In groups, brainstorm 3 examples of things that scientists/ engineers could study that would be large enough or small enough for scientific notation to be used to describe them

 Examples ◦ (Standard Notation)  Move the decimal to the left, exponent is positive ◦ 4.89 x 10 8 (Scientific Notation) ◦ Numbers greater than 1 always have a positive exponent in scientific notation ◦ (Standard Notation)  Move the decimal to the right, exponent is negative ◦ 1.23 x ◦ Numbers less than 1 always have a negative exponent in scientific notation

 Examples ◦ 3.47 x 10 5 (Scientific Notation)  Exponent is positive, move to the right ◦ (Standard Notation) ◦ 7.82 x (Scientific Notation)  Exponent is negative, move to the left ◦ (Standard Notation)

 Multiply or divide the numbers first ◦ (don’t include x 10 exp )  When multiplying, add the exponents together  When dividing, subtract the exponents  Make sure there is only one number before the decimal place in scientific notation. You may have to move the decimal so there is only one

 Examples  (2.0 x 10 5 )(7.0 x10 4 )= ◦ 1.4 x  (15.0 x 10 7 ) / (3.0 x 10 9 )= ◦ 5.0 x 10 -2

Complete the practice at your desk. We will review selected answers as a class.

 A Fraction that is equal to the number one ◦ Two quantities that equal the same thing 12 inches 1 foot 7 days 1 week.5 ½

Do these two fractions equal the same quantity? 1 dozen 12 eggs 1 dozen Yes!

1. Read the problem 2. Write down what you are given, put it over 1 3. Write down what you are looking for 4. List all possible conversion factors for the problem 5. Make a road map 6. Solve the problem

 How many minutes are there in 10 hours?  Read the problem  Write down what you are given, put it over 1  Write down what you are looking for. ◦ The number of minutes 10 hours 1

 List all possible conversion factors for the problem ◦ We know that one hour = 60 minutes  Make a road map ◦ Hours ? Minutes 1 hour 60 minutes 60 minutes 1 hour

 Solve the problem ◦ We also know that when you multiply, if 2 quantities are placed in opposite corners of each other, they will cancel out  Incorrect, the units do not cancel out 10 hours. 1 hour = 10 hours minutes 60 minutes

 Solve for Correct Answer! 10 hours. 60 minutes = 600 minutes 1 1 hour

 How many minutes are there in 12 weeks?  12,096 minutes Weeks  Days  Hours  ? Minutes 12weeks. days. hours. minutes = week day hour. 12 weeks. 7 days. 24 hours. 60 minutes = 1 week 1 day 1 hour

How many minutes are there in 2 years? Years  Weeks  Days  Hours  Minutes 2 years. weeks. days. hours. minutes = 1 year week day hour 2 years. 52 weeks. 7 days. 24 hours. 60 minutes = 1 1 year 1 week 1 day 1 hour = 1,048,320 minutes or 1,051,200 minutes (365 days)

 How many liters are in 500 mL?  mL  ? L 500 mL. 1 Liter = L mL

 How many milligrams are there in 20 kg?  kg  g  ? mg 20 kg g mg = 2 x 10 7 mg 1 1 kg 1 g

 Activity ◦ Find your matching partner by finding the correct standard notation and scientific notation pair  With your partner discuss the following questions: ◦ If you could have one special superhero power, what would it be? ◦ Would you rather have Cheetos fingers, or a popcorn kernel stuck in the back of your throat, for the rest of your life?