Dimensional Analysis Scientific Notation
Formal assessment –practice and exit ticket Common Core Connection Objectives: Today I will be able to: Apply dimensional analysis to solving metric coversions Informal Assessment – monitoring student interactions as they complete the practice Formal assessment –practice and exit ticket Common Core Connection Make sense of problem and persevere in solving them Model with mathematics
Lesson Sequence Evaluate: Warm-Up Explain: Dimensional Analysis Notes Elaborate: Dimensional Analysis Practice Evaluate: Exit Ticket
Warm- Up Place the following numbers into scientific notation What is the purpose of putting numbers into scientific notation?
Objective Today I will be able to: Apply dimensional analysis to solving metric coversions
Homework Complete the dimensional analysis practice Study for Intro to Chem Quiz Thursday Lab Safety Accuracy and Precision Scientific Notation Sig Figs Dimensional Analysis Finish Collecting STEM Fair Data – One day next week we will work on the STEM data in class
Agenda Warm-Up Dimensional Analysis Notes Dimensional Analysis Practice Exit Ticket
Dimensional Analysis Notes
Conversion Factor 12 inches 1 foot 7 days 1 week ½ 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
Dimensional Analysis 1 dozen 12 eggs 12 eggs 1 dozen Yes! Do these two fractions equal the same quantity? 1 dozen 12 eggs 12 eggs 1 dozen Yes!
Dimensional Analysis Problem Solving Tips Read the problem Write down what you are given, put it over 1 Write down what you are looking for List all possible conversion factors for the problem Make a road map Solve the problem
Practice Problem 1 10 hours 1 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
Practice Problem 1 Cont 1 hour 60 minutes 60 minutes 1 hour 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
Practice Problem 1 Cont. 10 hours . 1 hour = 10 hours 2 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
Practice Problem 1 cont. 10 hours . 60 minutes = 600 minutes 1 1 hour Solve for Correct Answer! 10 hours . 60 minutes = 600 minutes 1 1 hour
Practice Problem 2 How many minutes are there in 12 weeks? 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
= 1,048,320 minutes or 1,051,200 minutes (365 days) Practice Problem 3 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)
Practice Problem 4 500 mL . 1 Liter = 0.500 L 1 1000 mL How many liters are in 500 mL? mL ? L 500 mL . 1 Liter = 0.500 L 1 1000 mL
Practice Problem 5 20 kg . 1000 g . 1000 mg = 2 x 107 mg 1 1 kg 1 g 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
Dimensional Analysis Practice
Exit Ticket Describe how the units should be arranged in a dimensional analysis problem when solving to get the correct answer.