## precalculus quarterly projects

**Body Measurements:**

*Bones*meets Leonardo DaVinciTopics: linear model, residuals, rate of change, scatter plots, correlation coefficient

Modeling Digital Images: It's U-shaped, but is it a parabola?

Modeling Digital Images: It's U-shaped, but is it a parabola?

**Trigonometric Model**of daylight hours, CO2 levels,

Spring Motion

Topics: sine models, period, amplitude, frequency, phase shift, vertical translations by constant or linear function, dampened sine,

**Psychology of Colored Words: the Stroop task**

Topics: linear regression, scatter plots, rate of change, experimental design

**Designing a Pizza Box from a Template**

Topics: cubic and quadratic regression, minimum and maximum values

**The Spread of Disease**

Topics: logistics modeling

**Growth of Children**

Topics: exponential and logarithmic growth, piece-wise functions, rate of change

**Life Expectancy in Western Countries**

Topics: linear regression, scatter plots, rate of change, histograms

**The King's Chessboard**

Topics: exponential growth, unit conversion, logs

**General Rubric**

**Will women ever run as fast as men?**

Topics: systems of equations, graphing lines of best fit, writing equations of graphed lines, determine the meaning of slope, y-intercept, and x-intercept in the context of the data, solving systems of linear equations graphically or algebraically, linear models

**Flatland: A Romance in Two Dimensions**

Topics: dimensional concepts

**Art, Fibonacci Numbers and the Golden Mean**

Topics: ratios, decimal approximation of binomial radicals, scale drawings, Fibonacci sequence

**Can you determine pi experimentally?**

Topics: geometric probability, ratios, areas of squares and circles, random numbers, comparison of theoretical and experimental values