CK-12 Foundation
Proportions Using Cross-Multiplication: Proportions Using Cross Product
Don't get it crossed—the resource is a great one. Scholars read and watch a video that explains proportions and cross products. They then use an interactive to determine that cross products are equal and answer a set of challenge...
Concord Consortium
Proportional Representation
Sometimes the solution is all a matter of perspective. The short assessment task presents a problem to pupils that requires them to make sense of a diagram. Once learners see two similar triangles, the rest of the solution is solving a...
PHET
Unit Rates
Sometimes you just want to know the cost of one apple. A fun interactive lets learners explore the unit costs of fruits, vegetables, and candy. It shows how ratios to express ratios symbolically and on a double number line.
PHET
Proportion Playground
Ratios are all around you. A fun interactive has scholars investigate ratios and proportions in different situations. These include creating bracelets with different ratios of beads, mixing paint, adjusting the length and width of a...
College Board
2014 AP® Statistics Free-Response Questions
Turn a summative assessment into a formative assessment! The 2014 AP® Statistics exam shows learners the level of difficulty they will encounter on their end-of-course exams. Within the six items, the test highlights concepts such as...
College Board
2016 AP® Statistics Free-Response Questions
Test your classes on their knowledge of advanced statistic concepts. Young math scholars get a sneak peek at the end of course AP® statistics exam with the released items from the 2016 test. The six-question free response exam addresses...
College Board
2017 AP® Statistics Free-Response Questions
Reduce testing anxiety by helping learners prepare for test day. Scholars complete six free-response questions from a released AP® exam. The questions test a variety of concepts including confidence intervals, frequency tables,...
College Board
2018 AP® Statistics Free-Response Questions
Are your classes ready for their final exams? Give them a test run with the 2018 AP® exam. The resource provides the six free-response questions covering topics such as confidence intervals, population proportions, and least-squares...
CCSS Math Activities
Smarter Balanced Sample Items: 7th Grade Math – Target A
How do you know if your pupils have a deep understanding of proportional relationships? Assessment is key! A helpful series starts with questions on proportional relationships modeled after the Smarter Balanced Assessment items....
CCSS Math Activities
Smarter Balanced Sample Items: 8th Grade Math – Claim 3
Communication is the key. A dozen sample items require scholars to communicate their reasoning involved in arriving at a solution. The PowerPoint from the Gr. 8 Claim 2 - 4 Item Slide Shows series uses a variety of content to illicit...
PBS
Math with Jake: Frequencies and Pitch
Be an octave above the rest. A musician explains how to write music in different time signatures. An interesting resource continues to demonstrate ratios using the pitch of musical notes and hertz. Pupils use a pitch table and determine...
PBS
Math with Jake: Transposition Using Ratios
The star of the show is ratios. The informative resource explains how to transpose music using ratios. Individuals transpose the song "Twinkle, Twinkle" in the activity by applying their ratio skills. The activity challenges class...
PBS
Human Tree: Ratios
Create a personal tree. By visiting an exhibit at the National Museum of Mathematics, the resource introduces the idea of fractals. The exhibit takes an image of the person and creates a tree by repeating scaled images on the shoulders...
Pingry School
Replacement of Hydrogen by a Metal
As the most abundant element on the earth, hydrogen requires no replacement. Yet scholars learn to replace hydrogen with a metal to liberate the hydrogen gas. A simple procedure and data table include the necessary information and...
Concord Consortium
Heights and Weights
Height is dependent on weight—or is it the other way around? Given data from a physicians handbook, individuals compare the height and weight of males and females at different areas. They calculate differences and ratios to assist with...
Concord Consortium
Two Pounds to Go
How hard can it be to measure out two pounds? A short performance task introduces a situation where a balance scale is broken. It gives a method for measuring out two pounds and asks learners to evaluate the procedure. They must prove...
American Statistical Association
Confidence in Salaries in Petroleum Engineering
Just how confident can we be with statistics calculated from a sample? Learners take this into account as they look at data from a sample of petroleum engineer salaries. They analyze the effect sample size has on a margin of error and...
Magic of Physics
Scale of the Universe I
From quantum foam to the universe itself, plus everything in between, what is the scale of the world around us? Inquisitive physicists grapple with the proportions of all things great and small using a fascinating interactive. Scholars...
American Statistical Association
Armspans
Young mathematicians collect data on the arm spans of classmates. Then they sort the data by measures of center, spread, and standard deviation. Finally, they compare groups, such as boys and girls, to interpret any differences.
101 Questions
Banana Bread Baker
You don't want to be short bananas when making bread. Scholars use their math skills to make sure there are enough bananas to go around. Using measurements given in a recipe, they must determine how many bananas they need to increase the...
101 Questions
Pedestrian Countdown
You won't find yourself racing the clock on such a great task. Scholars use video information to predict the time left on a crosswalk signal after a pedestrian crosses. The video shows the time left on the counter, and individuals must...
101 Questions
Shower v. Bath
Which requires more water--a bath or a shower? Given some specific criteria, learners attempt to answer the question. A video shows how long it takes to fill a gallon container using a faucet and a shower head. Using that information and...
101 Questions
25 Billion Apps
Learn to use mathematics to your advantage! Using linear modeling, scholars predict the date and time the Apple App Store reaches 25 billion downloads. Considering the prize for the 25 billionth download was a $10,000 gift card, modeling...
101 Questions
Retina Display
Learners calculate the pixel density of a specific cell phone using the concept of similarity. They use information from the cell phone's website to make their calculations and then compare their results to the posted information.