1. Dimensional Analysis
Why do it?

2. 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

3. 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.

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

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

6. 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

7. Cancel units
9.3 cups x
cups
quart 4 1

8. 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.

9. 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