Use Units to Understand and Solve Problems

These lessons, with videos, examples, and step-by-step solutions, help High School students learn how to use units as a way to understand problems and to guide the solution of multi-step problems; choose and interpret units consistently in formulas; choose and interpret the scale and the origin in graphs and data displays.

Common Core: HSN-Q.A.1

The following diagram shows the steps to solve dimensional analysis problems. Scroll down the page for more examples and solutions using dimensional analysis.

Dimensional Analysis Tutorial: How to do Unit Conversions (Factor Label Method)

Dimensional Analysis - explained - (part 1)
This video explains the fundamental concepts of dimensional analysis and demonstrate how important they are to solving problems.

Dimensional Analysis - explained - (part 2)
This video further explains the fundamental concepts of dimensional analysis and show how important they are to solving problems.

Solving Dimensional Analysis Problems - Unit Conversion Problems
This video works through two standards dimensional analysis problems. Dimensional analysis is a process to solve unit conversion problems.
Step 1: Write the two givens (beginning and ending)
Step 2: Find the middle with conversion factors
Step 3: Make sure the units cancel out
Step 4: Solve the problem.

Dimensional Analysis - Convert Two Units

Using Dimensional Analysis to Solve Math Problems
Baking Problem, Yardstick Problem, Football Field Length Problem.

Dimensional Analysis - Interpret Units in Formulas
This video explains how dimensional analysis can be used to decide whether an expression/formula represents a length, area, volume or none of those.

Interpreting Line Graphs.

Drawing and Interpreting Line Graphs.

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.