Lessons in Units

CCSS Units
Aws4 request&x amz signedheaders=host&x amz signature=e7ace94428b26cc80f76eb7184f8e49e4cfb4e953909e9c9d551809dc99ccb09

Pounding Headache

How much Tylenol can you safely take? Students use exponential functions and logarithms to explore the risks of acetaminophen toxicity, and discuss what they think drug manufacturers should do to make sure people use their products safely.

Topic: Building Functions (BF), Interpreting Functions (IF), Linear, Quadratic, and Exponential Models (LE), Seeing Structure in Expressions (SSE)
Aws4 request&x amz signedheaders=host&x amz signature=217366ec69e2ad607a61e21823300c27a4c3a2f2005d3572ebff4583cf4014b3

Out of Left Field

In which Major League Baseball stadium is it hardest to hit a home run? Students find the roots and maxima of quadratic functions to model the trajectory of a potential home-run ball.

Topic: Creating Equations (CED), Interpreting Functions (IF), Reasoning with Equations and Inequalities (REI)
Aws4 request&x amz signedheaders=host&x amz signature=387fbaead6505cb3365894b625c1f430521a99fab6722adfb3a4df5326e2aa3b

About Time

How has the pace of technology changed over time? Students explore timelines of important technological milestones, and calculate the time between major events using absolute value and operations on integers.

Topic: Number System (NS)
Aws4 request&x amz signedheaders=host&x amz signature=6ccba6061f2ed8b2893d2c644d71b68e6415539f9aa6ff850981b4606bde16fb

iPod dPreciation

How has the iPod depreciated over time? Students compare linear and exponential decay, as well as explore how various products have depreciated and what might account for those differences.

Topic: Creating Equations (CED), Interpreting Functions (IF), Linear, Quadratic, and Exponential Models (LE)
Aws4 request&x amz signedheaders=host&x amz signature=f21aa1e02b6bbcc14c7f1fbd661c0365370075923dcdd3ac2b9fa8dcddfc1a25

Coupon Clipping

Are coupons always a good deal? Students use unit rates and percents to explore the math and psychology behind retail discounts.

Topic:
Aws4 request&x amz signedheaders=host&x amz signature=e8354107e0cd28a6f8d79a2868e0da38cd12060d90e1d9a4767f10a882f75d43

Sharper Image

Should you buy a camera lens with vibration reduction? Students interpret graphs and use right triangle trigonometry to explore the relationship between focal length, viewing angle, and blurriness.

Topic: Creating Equations (CED), Seeing Structure in Expressions (SSE), Similarity, Right Triangles, and Trigonometry (SRT)
Aws4 request&x amz signedheaders=host&x amz signature=a333f48fd1e322d18b7101e6b8f21bf00d6bc6946e9a6941cac888aaa81f9ff7

Oddsballs

When is it worth buying a Powerball ticket? Students count combinations and apply basic rules of probability and expected value to determine when the Powerball jackpot is large enough to justify the cost of playing the game.

Topic: Conditional Probability and the Rules of Probability (CP)
Aws4 request&x amz signedheaders=host&x amz signature=a0ad99fec2e5328b96b15ee5182b030ccea78d287e652d22e26ef1c4f96205bb

Bundle Up

How much should people pay for cable? Students interpret scatterplots and calculate the costs and revenues for consumers and providers under both the bundled and à la carte pricing schemes to determine which would be better for U.S. companies and customers.

Topic: Number System (NS), Ratios and Proportional Relationships (RP)
Aws4 request&x amz signedheaders=host&x amz signature=d66291846c1f08bf23ba46421959087431ee346eafc99c622971b9f22a5f2e5a

It's a Trap!

How accurate are police speed guns? Students use rates and the Pythagorean Theorem to examine the accuracy of LiDAR guns used to catch speeding drivers.

Topic: Expressions and Equations (EE), Geometry (G), Ratios and Proportional Relationships (RP)
Aws4 request&x amz signedheaders=host&x amz signature=5e27a0b91db1c93111ac8d65cc14a58d03e3a5b86e88aae5d500c37d9a068544

Win At Any Cost?

How should sports teams spend their money to win more games? Students look at data for four major pro sports leagues to find out whether it's possible to buy wins.

Topic: Interpreting Categorical and Quantitative Data (ID)
Aws4 request&x amz signedheaders=host&x amz signature=9145a2f05eae29256bd033a3781803cbbc8d54cf5af71b02165fddd3dd4dc67c

Romeo & Juliet

How does two people's love for one another change over time? Students investigate the effect of coefficients on recursive functions, and explore whether or not romance can be modeled with mathematics.

Topic: Interpreting Functions (IF), Seeing Structure in Expressions (SSE)
Aws4 request&x amz signedheaders=host&x amz signature=f7eec6e94890491090da15399830ee47aa10e6d97b532007a9c1f8efbbf39081

Sell Out

How much should theaters charge for movie tickets? Students apply operations on whole numbers to figure out how much money theaters could make by charging different ticket prices, and come up with strategies theaters might use to earn more from people willing to pay more.

Topic: Geometry (G)
Aws4 request&x amz signedheaders=host&x amz signature=144ad3b864933e441313a4079555133938af64c439d5a3746eb3d889dba7e933

The Waiting Game

How many people should you date before you settle down? Students use modeling with probability distributions to come up with a rule to try to maximize their relationship happiness.

Topic: Conditional Probability and the Rules of Probability (CP), Making Inferences and Justifying Conclusions (IC)
Aws4 request&x amz signedheaders=host&x amz signature=d0c24f6c390f5276aed8d2f6b0fe3c2add17a8f2119ce2ba493f1804440f866a

The Reel Deal

How has the length of popular movies changed over time? Students use scatterplots to examine linear and nonlinear patterns in data and make predictions about the future.

Topic: Statistics and Probability (SP)
Aws4 request&x amz signedheaders=host&x amz signature=214fb2ac33d89cabbf44cf0f3c7cdf0f4e56dee3ecb72b70597b692a8c31150a

Bracketology

What’s the best strategy for creating a March Madness bracket? Students use probability to discover that it’s basically impossible to correctly predict every game in the tournament. Nevertheless, that doesn’t stop people from trying.

Topic: Conditional Probability and the Rules of Probability (CP), Creating Equations (CED), Linear, Quadratic, and Exponential Models (LE)