Lessons in Units

CCSS Units
Aws4 request&x amz signedheaders=host&x amz signature=751e5534dab90cb1a83b3c3284f23a0a26c72e99dfaa6703fd61692e299a5223

Sofa Away From Me

How far away from the TV should you sit? Students use right triangle trigonometry and a rational function to explore the percent of your visual field that is occupied by the area of a television.

Topic: Building Functions (BF), Creating Equations (CED), Interpreting Functions (IF), Reasoning with Equations and Inequalities (REI), Similarity, Right Triangles, and Trigonometry (SRT)
Aws4 request&x amz signedheaders=host&x amz signature=16143736865f3519a7b4b979bae22e1b6fd7206c2bc3fa2d1aacd81b4d7f75a1

Need for Speed

How much does it cost to drive at different speeds? Students use unit rates and proportions to explore how a car's fuel economy changes as it drives faster and faster.

Topic: Ratios and Proportional Relationships (RP)
Aws4 request&x amz signedheaders=host&x amz signature=30ceae56d1b29a589fe67a192b7c97ca41f4f9e0bdec34b026f5213432474335

Loan Ranger

How much do you really pay when you use a credit card? Students develop an exponential growth model to determine how much an item really ends up costing when purchased on credit.

Topic: Building Functions (BF), Creating Equations (CED), Linear, Quadratic, and Exponential Models (LE)
Aws4 request&x amz signedheaders=host&x amz signature=6493c1c091d9dd628c8871b64ec3a0cc8b2c2d8278b93d1fa2d1f95bf6ec3aa5

Shuffle

What does it mean for a playlist to be "random?" Students use probability to explore the idea of randomness, as well as the patterns that can emerge from random processes like shuffles.

Topic: Conditional Probability and the Rules of Probability (CP), Interpreting Categorical and Quantitative Data (ID)
Aws4 request&x amz signedheaders=host&x amz signature=b6c5daa66cc960d426f0fbba7a785f3944f8f7abb806bcc0a3ed2374d08926da

VA-NITY PL88

In how many ways can you personalize a license plate? Students use the Fundamental Counting Principle to determine the total number of possible messages.

Topic: Expressions and Equations (EE), Statistics and Probability (SP)
Aws4 request&x amz signedheaders=host&x amz signature=3405d63710adf9fd370084734bd365c4756c64426e2c6e854af7bd7df187d6f4

Scalped!

When you buy a concert ticket, where does your money go? Students use percents and proportional reasoning to describe how revenue from tickets is distributed among the various players in the concert game.

Topic: Ratios and Proportional Relationships (RP)
Aws4 request&x amz signedheaders=host&x amz signature=6514babbfab0ab67b68e5d809894de4272479d2861e6c600a5eb2b4be5853af4

On Your Mark

Do taller sprinters have an unfair advantage? Students use proportions to find out what would happen if Olympic races were organized by height.

Topic: Ratios and Proportional Relationships (RP)
Aws4 request&x amz signedheaders=host&x amz signature=3da70be0e177af145f681e4d713d8ab1435504f289d3b3bf755bf89930bffa21

Triplets of Cellville

How do cell phone towers identify your location? Students describe geometrically the location information provided by a cell phone tower, explain why loci from at least three towers are required to pinpoint a customer's location, and consider the tradeoff between coverage and "locatability" when a phone company chooses a new tower location.

Topic: Congruence (CO), Modeling with Geometry (MG)
Aws4 request&x amz signedheaders=host&x amz signature=6aa4ec5ea4a30f25ef37011614e0d7a3d2518be2be40f1e7e6a2261513810448

Three Shots

In basketball, should you ever foul at the buzzer? Students use probabilities to determine when the defense should foul...and when they should not.

Topic: Conditional Probability and the Rules of Probability (CP)
Aws4 request&x amz signedheaders=host&x amz signature=72d1c990f8816d3db701c2da5abea0b618561164ae7b652576e92fa8b2cdcaa5

Letterboxing

How do aspect ratios affect what you see on TV? Students use ratios to explore why the image doesn't always fit on the screen, and examine how letterboxing might affect their favorite movies.

Topic: Geometry (G), Ratios and Proportional Relationships (RP)
Aws4 request&x amz signedheaders=host&x amz signature=2ce5c816afd22ac78407594fb098d48fc028a1e13b93243f190b2045080c388d

PRISN

What is the chance that PRISM ensnares an innocent person? Students use conditional probabilities to examine some of the implications of a program like PRISM. Specifically, if someone has been identified as a threat, what’s the probability that person actually is a threat?

Topic: Conditional Probability and the Rules of Probability (CP)
Aws4 request&x amz signedheaders=host&x amz signature=7504ebde81c73df3132410d54a5fde628cfd8b6f1aa374d42bcc3e4fb8493aa1

Face Value

How symmetrical are faces? Students apply their understanding of line reflections to develop a metric for facial symmetry.

Topic: Congruence (CO)
Aws4 request&x amz signedheaders=host&x amz signature=02238ee368d99c3f49052a9e85cc7d4f10fb7718985386cd401bb10c2701b88a

In the Zone

How hard should you exercise? Students write and graph an equation for maximum heart rate in terms of age, and then calculate ideal heart rate zones for different types of workouts.

Topic: Functions (F)
Aws4 request&x amz signedheaders=host&x amz signature=342cb711cfa7d654280676b787c8503ec5e2a538bbbb30d45d05cc39afab4ef2

Happy Meal

How much should you spend to get all the toys? Students use probability and expected value to figure out how many Happy Meals they should plan on buying if they want to collect all the toys in a series.

Topic: Interpreting Categorical and Quantitative Data (ID), Making Inferences and Justifying Conclusions (IC), Statistics and Probability (SP), Using Probability to Make Decisions (MD)
Aws4 request&x amz signedheaders=host&x amz signature=03f14cf554b821a13ac2572f6bd509918387ddb981c0e5fc517afca391747d91

Payday

How much do different professions earn in a year? Students use ratios and proportional reasoning to compare how much LeBron James and teachers make, and how much they pay in taxes.

Topic: Number System (NS), Ratios and Proportional Relationships (RP)