## Math: Functions / Statistics:

### ● PreAlgebra

○ Units and measurement

○ Determining best type of graph / table based on the data and research question

○ Averages

○ Plotting data / XY coordinates

○ Identifying trends

○ Plotting a fitted line

○ Rates vs. ratio

### ● Algebra 1

○ Linear vs nonlinear functions

○ Linear growth and decline

○ Exponential growth and decline

○ Derive the equation of a line (slope)

○ Projections: Average kWh per day → projected consumption per year

○ Conversions:

■ eg. Hundreds of Cubic Feet per/ quarter → Cost $ per day

■ eg. Volume of water used to volume equivalent, such as elephants or school busses

■ eg. Kilowatt/hours or gallons of water to carbon footprint

### ● Advanced Algebra

○ Modeling functions

○ Polynomial functions

○ Relationships between variables: Accurately defining the quantitative effect of an independent variable inverse, correlation, causation.

■ E.g. Natural gas usage vs. temperature; water use vs. price

○ Missing variable equations:

■ Example: “13 days into the month 12,000 gallons have been used, if there are 17 days left and you want to use under 30000 gallons what will your average usage per day need to be?”

■ Example: Establish the relationship between outdoor temperature and electricity usage (if heating is electric). Predict next week’s electricity consumption given the forecast.

### ● Capstone performance tasks / “Big Open-ended Problem” (BOP)

Use utility consumption data as the basis for having students take a position on a story problem and defend it using an analysis of the data.

■ Example: Track and plot utility usage, then determine line of best fit. Explain the trend in written form incorporating data and qualitative evidence such as a log of home water use

■ Example B.O.P. inspired by STEMhero