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Presentation transcript:

Clear off desk and get out something to write with

Turn to page 12 Leave page 11 BLANK!!

Dimensional Analysis

Dimensional Analysis: A mathematical tool used to convert from one type of unit to another type of unit The Method Ladder

Situation: You need to change $50 dollars into nickels Situation: You need to change $50 dollars into nickels. How many nickels do you need ???

1. Write down what we are given We need a plan of attack! (4 Steps) 1. Write down what we are given $50 dollars

We need a plan of attack! 2. Find a common ratio 1. Write down what we are given 2. Find a common ratio $1 dollar = 20 nickels

We need a plan of attack! 1. Write down what we are given 2. Find a common ratio $1 dollar = 20 nickels 3. Place the ratio on the ladder so the unit that’s given is on the bottom

$50 dollars 20 nickels $1 dollar Situation: You need to change $50 dollars into nickels. How many nickels do you need ??? $50 dollars 20 nickels $1 dollar

We need a plan of attack! 4. Simplify!!! 1. Write down what we are given 2. Find a common ratio $1 dollar = 20 nickels 3. Place the ratio in the chart so that unit that is in the given is on the bottom 4. Simplify!!!

Simplify means cancel out units and do the math $50 dollars 20 nickels $1 dollar 1000 nickels Simplify means cancel out units and do the math (Multiply the top and divide on the bottom)

inches

English System inches feet yard mile

English System mm inches feet yard mile

English System mm inches cm feet dm meter yard mile km

English System mm inches cm feet dm meter yard mile km

English System mm inches cm feet 1 dm meter yard mile km

English System mm inches cm feet 1 2.54 dm meter yard mile km

Common equalities: 1 inch = 2.54 cm 60 seconds = 1 minute

1 m = 10 dm 1 mile = 5280 ft. 3 ft. = 1 yard 1 m = 3.28 ft. Equalities 1 m = 10 dm 1 mile = 5280 ft. 3 ft. = 1 yard 1 m = 3.28 ft. 2.54 cm = 1 inch

English System mm inches cm feet 1 2.54 dm meter yard mile km 1 3.28 1 1.09 mile km 1 1.61

Problem 1: Convert - 8.5 cm = ? inches

Problem 1: 1 in 8.5 cm ______________ 2.54 cm = 3.35 in.

1 in 12.75 cm ______________ 2.54 cm = 5.02 in. 12.75 cm = ? in Problem 2: 12.75 cm = ? in 1 in 12.75 cm ______________ 2.54 cm = 5.02 in.

Problem 3: 32 ft second = meters min ?

1 m 32 ft 60 sec 1 min ______________ sec 3.28 ft 585.37 m_ min = Problem 3: 1 m 32 ft 60 sec 1 min ______________ sec 3.28 ft 32 ft/sec to meters/min 32 ft meter sec min 585.37 m_ min =

Worksheet: Dimensional Worksheet #1 DUE:

Worksheet: Dimensional Worksheet #1 DUE: In 20 Min.