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◦ 0.00071m◦ 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◦ 489000000 (Standard Notation)

Move the decimal to the left, exponent is positive◦ 4.89 x 108 (Scientific Notation)◦ Numbers greater than 1 always have a positive

exponent in scientific notation

◦ 0.000123 (Standard Notation) Move the decimal to the right, exponent is negative

◦ 1.23 x 10-4

◦ Numbers less than 1 always have a negative exponent in scientific notation

Examples

◦ 3.47 x 105 (Scientific Notation) Exponent is positive, move to the right

◦ 347000 (Standard Notation)

◦ 7.82 x 10-4 (Scientific Notation) Exponent is negative, move to the left

◦ 0.000782 (Standard Notation)

Multiply or divide the numbers first ◦ (don’t include x 10exp)

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 105)(7.0 x104)=

◦ 1.4 x 1010

(15.0 x 107) / (3.0 x 109)=

◦ 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 inches1 foot

7 days1 week

.5 ½

Do these two fractions equal the same quantity?

1 dozen

12 eggs

12 eggs

1 dozen

Yes!

1. Read the problem2. Write down what you are given, put it

over 1 3. Write down what you are looking for4. List all possible conversion factors for

the problem5. Make a road map6. 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 2

1 60 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

12 weeks . 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 = 0.500 L 1 1000 mL

How many milligrams are there in 20 kg?

kg g ? mg

20 kg . 1000 g . 1000 mg = 2 x 107 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?