# PH.2 a, e - Mathematical Analysis

The student will investigate and understand how to analyze and interpret data. Key concepts include

a)  a description of a physical problem is translated into a mathematical statement in order to find a solution; and

e)  analysis of systems employs vector quantities utilizing trigonometric and graphical methods.

Bloom's Levels:  Analyze; Understand

### BIG IDEAS

• I can determine how steep a roof must be so that snow is able to slide off.
• I can determine the shortest path to walk home and the amount of energy needed to do so.

### UNDERSTANDING THE STANDARD

The concepts developed in this standard include the following:

• Mathematics is a tool used to model and describe phenomena.
• Not all quantities add arithmetically. Some must be combined using trigonometry. These quantities are known as vectors.
• Physical phenomena or events can often be described in mathematical terms (as an equation or inequality).

### ESSENTIALS

In order to meet this standard, it is expected that students will

a-b) recognize linear and nonlinear relationships from graphed data.

where appropriate, draw a straight line through a set of experimental data points and determine the slope and/or area under the curve.

d-e) combine vectors into resultants utilizing trigonometric or graphical methods.

resolve vectors into components utilizing trigonometric or graphical methods.

### KEY VOCABULARY

Updated: Dec 01, 2017