Dimensional Analysis Why do it?

Benefits for students Consistent problem solving approach Reduces errors in algebra Reinforces unit conversion Simplifies computation Improves understanding of math applications Multiple ways to solve the same problem

6 Steps of Problem Solving Identify what you are asked. Write down what is given or known. Determine what you are trying to find (unknown) Look for relationships between knowns and unknowns (conversions). Rearrange the equation to solve for the unknown. Do the computations, cancel the units, check for reasonable answers.

Write the KNOWN, identify the UNKNOWN. EX. How many quarts is 9.3 cups? 9.3 cups = ? quarts

Draw the dimensional “jumps”. 9.3 cups ? quarts = 9.3 cups x * Use charts or tables to find relationships

Insert relationship so units cancel. quart 1 9.3 cups x 4 cups *units of known in denominator (bottom) first *** units of unknowns in numerator (top

Cancel units 9.3 cups x cups quart 4 1

Do Math 9.3 cups x cups quart 4 1 Follow order of operations! Multiply values in numerator If necessary multiply values in denominator Divide.

Do the Math 1 quart 9.3 x 1 9.3 cups x = 4 cups 1 x 4 4 = 9.3 = 2.325 = 2.3 s