Lessons in Units

CCSS Units
Aws4 request&x amz signedheaders=host&x amz signature=9242eb71bca6b62af87bb9ca60e29cd65575b2cafcb00d378eba842e274e8363

F-Stop in the Name of Love

How do camera settings affect the final image, and how can we use aperture and shutter speed to take better pictures? Students use the area of circles and fractions to explore how to properly expose a picture, and how photographers use depth of field and motion blur to get the perfect shot.

Topic: Geometry (G)
Aws4 request&x amz signedheaders=host&x amz signature=d97657dfe61c3f6534b461e1a51bdb40fe790e5e299cb5bf08210e1ec67c0d73

Financial Aid

How much more do graduates earn, and is college worth the cost? Students use systems of linear equations to compare different educational options.

Topic: Creating Equations (CED), Expressions and Equations (EE), Functions (F), Linear, Quadratic, and Exponential Models (LE), Reasoning with Equations and Inequalities (REI)
Aws4 request&x amz signedheaders=host&x amz signature=e293f07408d526dc9adf944bfe8162fd8fa1c288742615cfcbccc00906336f68

Belly of the Beast

Were megalodons godfathers of the sea? Students model the bodies of different sharks using cylinders, and explore how the volume of a cylinder changes when its dimensions change. They learn that the megalodon was a massive ocean beast, but that its size may ultimately have led to its downfall.

Topic: Geometry (G)
Aws4 request&x amz signedheaders=host&x amz signature=f5943c2d3e6c0f27e72be42ff68b6ea36ecc22420d8d36903bec7a74b28f6951

The Biggest Loser

How should the winner of The Biggest Loser be chosen? Students model weight loss with linear equations, and use percent change to compare absolute and relative weight loss for several contestants. They also examine historical data to determine which method produces the fairer game.

Topic: Functions (F), Statistics and Probability (SP)
Aws4 request&x amz signedheaders=host&x amz signature=9614ab4b05c2a1fe2fa49fdbb1d6d41af82d3ec39b175463a0c260a4a7d3365a

Tricks of the Tray'd

What's the best way to design a food tray? Students calculate the volumes of rectangular prisms and use that information to design a cafeteria tray that looks good and holds a balanced meal.

Topic: Geometry (G)
Aws4 request&x amz signedheaders=host&x amz signature=575f00ece793808cca0aa582a0e86743e1bd9951e22eae2083d342eac0edf6a5

Pizza Pi (HS)

Which size pizza should you order? Students apply the area of a circle formula to write linear and quadratic formulas that measure how much of a pizza is actually pizza, and how much is crust.

Topic: Building Functions (BF), Creating Equations (CED), Interpreting Functions (IF), Reasoning with Equations and Inequalities (REI)
Aws4 request&x amz signedheaders=host&x amz signature=5667cbed1eabc57767d6ae24f93791e86be83cc3e5b6ec0c47e0678af30fa0bc

Wiibates

How much should Nintendo charge for the Wii U? Students use linear functions to explore demand for the Wii U console and Nintendo's per-unit profit from each sale. They use those functions to create a quadratic model for Nintendo's total profit and determine the profit-maximizing price for the console.

Topic: Creating Equations (CED), Building Functions (BF), Interpreting Functions (IF), Reasoning with Equations and Inequalities (REI)
Aws4 request&x amz signedheaders=host&x amz signature=011339e3faef309b3d0260ae0fcf950bc99cef13552aa07ea1d52f41b7c579aa

Here Comes the Sun

Are solar panels worth the cost? Students set up and solve systems of linear equations to compare different electricity plans and determine when each option is the least expensive.

Topic: Expressions and Equations (EE)
Aws4 request&x amz signedheaders=host&x amz signature=3ecd4b10423d901f0297a92d57cc4444a406b4f61e3b9281882de173bb3c6025

Pony Up

How do you increase the horsepower of a car engine? Students calculate the volumes of different car cylinders, and explore ways to make engine even more powerful by changing the dimensions of an engine's internal geometry.

Topic: Geometry (G)
Aws4 request&x amz signedheaders=host&x amz signature=be0ba01765d96aa15cccb8ff20e14453528b83fdc91b110c1656c406710ec71e

Police, Academy

How much should states spend on schools and police? Students analyze histograms and use mean and median to explore state spending habits. Then, they discuss how much they think states should be spending.

Topic: Interpreting Categorical and Quantitative Data (ID)
Aws4 request&x amz signedheaders=host&x amz signature=8b5cdb4bc1bf6ea590cfca2905c52fc90b59a2e7b1f05b02211e6db595ca9bbf

Driving Question

When should NFL teams go for it on fourth down? Students use quadratic functions to develop a model of expected points. They then apply this model to determine when teams should punt the ball, and more importantly, when they shouldn’t.

Topic: Building Functions (BF), Interpreting Functions (IF), Using Probability to Make Decisions (MD)
Aws4 request&x amz signedheaders=host&x amz signature=a695f62562a6f75961aab06b907bdc7a410a9b95381ca9a2eb9f046495b659d8

Blindsided

What's the best way to position a car's mirrors? Students use reflections and congruent angles to determine the best orientation for rear- and side-view mirrors, and learn how to correct those dangerous blind spots.

Topic: Geometry (G), Congruence (CO)
Aws4 request&x amz signedheaders=host&x amz signature=fe6ed09c1e26e4c049df93470bdae44d0c9381d13994909c30991090ac3e5210

Green Acres

How has the urban population changed over time, and will we all eventually live in cities? Students use recursive rules along with linear and exponential models to explore how America's urban areas have been growing over the last 200 years.

Topic: Interpreting Functions (IF), Linear, Quadratic, and Exponential Models (LE), Reasoning with Equations and Inequalities (REI)
Aws4 request&x amz signedheaders=host&x amz signature=8dea5cdf1e39100cddc06329ff035dd453be15ec245e7e3a013cc36e407a186e

Spinning Your Wheels

Why do tires appear to spin backwards in some car commercials? Students apply unit rates and the formula for the circumference of a circle to determine what makes a spinning wheel sometimes look like it’s moving in the opposite direction of the car sitting on top of it.

Topic: Geometry (G), Ratios and Proportional Relationships (RP)
Aws4 request&x amz signedheaders=host&x amz signature=42ae34618c5965944c851de1c7e1f4cd7512671432ee2ade207f9e3d4580bf36

Siren Song

Does the same sound always sound the same? Students come up with equations in several variables to explore the Doppler Effect, which explains how sound from a moving object gets distorted.

Topic: Creating Equations (CED)