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...
Concord Consortium
Hockey Pucks
Package design is a mathematical task for any business. Young scholars use a package design to determine the number of packages required for specific shipments. Using ratios, proportions, and fractions, they make decisions about the best...
Concord Consortium
Leap Years and Calendars
How many birthdays do leap year babies have in a lifetime? Learners explore the question among others in a lesson focused on different calendar systems. Given explanations of the Julian, Gregorian, and Martian calendars, individuals use...
Concord Consortium
Look High and Low
From the highest high to the lowest low here's a resource that won't fall flat. Given data on the area and the highest and lowest elevations of each of the 50 states, learners decide which states are the least flat and the most flat. Of...
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...
CCSS Math Activities
Smarter Balanced Sample Items: High School Math – Claim 4
What is the appropriate model? Sample problems show the extent of the Smarter Balanced assessments Claim 4, Modeling and Data Analysis. Items provide pupils the opportunity to use mathematical modeling to arrive at a reasonable answer....
Open Oregon Educational Resources
Forest Measurements: An Applied Approach
Geometry—it's not just for the math classroom! Learners explore the field of forestry through a mathematical lens. An instructional resource explains how forest workers collect data about trees such as height, diameter, and age...
NOAA
Investigating Sea Level Using Real Data
The news reports on rising sea level, but how do scientists measure this rise? Scholars use NOAA data including maps, apps, and images to work through five levels of activities related to sea level. Each level in the series adds a new...
CCSS Math Activities
Smarter Balanced Sample Items: 6th Grade Math – Claim 3
Communication is key. Eight sample items show how important communication and reasoning is for sixth grade mathematics. Part of the Claim 2-4 slide show series, the presentation uses concepts from fifth and sixth grade to illicit...
CCSS Math Activities
Smarter Balanced Sample Items: 7th Grade Math – Claim 3
Does the explanation make sense? Sample items highlight claim three, communicating reason, in the Smarter Balanced assessments. Teachers use the 16 items to help show pupils the importance of communication and reasoning within...
College Board
2001 AP® Calculus BC Free-Response Questions
Take an abbreviated look at the exam. Class members review released items to prepare for the BC exam. The released questions are the six free-response questions from the 2001 exam. Three of the items have context, while the other three...
College Board
2008 AP® Calculus BC Free-Response Questions
The AP® exam is not just about the calculations. By reviewing the free-response questions from 2008, teachers and pupils see that several items require justifications and explanations to gain full credit. The chief reader even points out...
College Board
1999 AP® Statistics Free-Response Questions
Closer to 2010 than expected. Several of the 1999 AP® Statistics free-response questions align to Common Core standards. Items ask pupils to analyze residuals, two-way tables, and calculate expected values to determine the fairness...
Pace University
Grades 7-8 Solving Equations
Create a similar blueprint. The differentiated activity has pupils work in teams to create a brochure, scale model, or blueprint of a selected house with some minor changes. Once finished, team members present their final projects to the...
Rice University
Prealgebra
Pre-algebra—all wrapped up in one place. The eBook contains everything needed to teach a typical Pre-Algebra course. Concepts in the course build upon previously learned concepts, allowing mathematicians to see the connections between...
College Board
2007 AP® Calculus AB Free-Response Questions Form B
What do the questions look like? Six free-response questions provide pupils with knowledge of how calculus topics appear on the AP® Calculus exam. The questions involve calculator and non-calculator problems by providing mathematical and...
College Board
2007 AP® Calculus BC Free-Response Questions Form B
There is just a single real-world problem. Released free-response items from the 2007 AP® Calculus BC Form B contains only one real-world question. The question involves rate of change of wind chill scenario. The mathematical problems...
College Board
2005 AP® Calculus BC Free-Response Questions Form B
Let's put it in context. Pupils use the AP® Calculus BC free-response questions to practice for the exam. Five of the six released items deal with mathematical problems, with one using a real-world situation. Learners use differentiation...
Radford University
Environmental Issues
Pupils investigate the air pollution situation in China by fitting a curve to historical data. They dig deeper into environmental issues that are of interest and provide a mathematical analysis of the issue. Class members develop a route...
Radford University
A Little Devil In Need of Help
Math modeling to help endangered species? Scholars first investigate linear and exponential equations and graphs that model fictitious animal populations. They consider how key features of the graphs relate to the situation. As a final...
Radford University
Business Ownership
Let's learn a little bit about business! Given information about a t-shirt company, young mathematicians explore the revenue, costs, profits, and future sales. They develop mathematical models for these quantities using linear,...
Radford University
Budgeting Your Time and Money
Use mathematics to better manage money. Pupils learn about budgets and personal finance with a set of three lessons. They research salary data for their chosen careers, look up various costs of living to develop budgets, and plan an...
Radford University
How do I Create a Scaled Model of a Full-Sized Basketball Court?
Take mathematics to the hoop! Pairs first measure the linear distances on a basketball court. Using those measurements, they determine the scale lengths to create a scaled model. To finish the activity, learners create models of the...
Radford University
Throwing a Football
Use mathematics to help the football team. Pairs brainstorm how to approach finding a solution to a problem to help the quarterback complete more passes. By researching and collecting data, the teams derive an equation to represent the...
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