#### Science - 2019-20

# PH.2 a-b - Mathematical Relationships

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

b) relationships between physical quantities are determined using the shape of a curve passing through experimentally obtained data.

**Bloom's Levels:**Analyze; Understand

*Adopted: 2010*

### BIG IDEAS

- I can determine how steep a roof must be so that snow is able to slide off.
- I can determine the impact a steep hill has on the average and instantaneous speed of a runner.

### UNDERSTANDING THE STANDARD

The concepts developed in this standard include the following:

- Mathematics is a tool used to model
and describe phenomena.
- Graphing and dimensional
analysis are used to reveal relationships and other important features of data.
- Predictions are made from trends
based on the data.
- The shape of the curve fit to
experimentally obtained data is used to determine the relationship of the
plotted quantities.
- All experimental data do not
follow a linear relationship.
- The area under the curve of
experimentally obtained data is used to determine related physical quantities.
- 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.

### KEY VOCABULARY

*Updated: Dec 01, 2017*