College Board
2012 AP® Calculus BC Free-Response Questions
Get better prepared. Individuals use the six released AP® Calculus BC free-response questions to practice for the actual exam. The questions contain two calculator items and four non-calculator items. Topics include particle movement,...
College Board
2008 AP® Calculus BC Free-Response Questions Form B
This is integral to the test. Pupils realize that every question in the released free-response items from the 2008 AP® Calculus exam Form B requires integration. By reviewing the additional resources, scholars learn how important it is...
Curated OER
Today's Brainstorming Problems
For this mind puzzle worksheet, students collaborate in a group to solve 4 problems involving math and vocabulary. The questions should be answered without much difficulty by group consensus.
Teach Engineering
The Challenge Question
A research position becomes a modeling job. The introductory lesson in a series of nine presents the challenge of analyzing a set of bivariate data. The class brainstorms what the data may represent. Pupils must decide what is needed to...
Curated OER
How Much, How Fast, How Far?
Students investigate the concept of the number one million. In this number concepts lesson, students read the book How Much is a Million? and brainstorm questions, such as "how many leaves are on a tree" and "how many hairs are on your...
CK-12 Foundation
Checking Solutions to Inequalities: Ordering Roses
It's important to have the correct number of flower arrangements at a wedding. Scholars match an inequality and a graph given a situation involving roses for wedding receptions. A set of challenge questions checks the matching pairs.
Radford University
Geyser Graphical Activity
Thar she blows! An engaging activity teaches pupils about geysers. They first read information about the Strokkur geyser in Iceland and analyze data on its eruptions by creating multiple data representations. Once finished, they research...
Howard Hughes Medical Institute
Scientific Inquiry Using WildCam Gorongosa
How do scientists determine what questions to ask to meet their research goals? Help your class develop an inquiry mindset with a lesson based on studies in the Gorongosa National Park. Partners create their own research questions by...
Math Stars
Math Stars: A Problem-Solving Newsletter Grade 6
Think, question, brainstorm, and make your way through a newsletter full of puzzles and word problems. The resource includes 10 different newsletters, all with interesting problems, to give class members an out-of-the box math experience.
Virginia Department of Education
Graphs
Examine different types of graphs as a means for analyzing data. Math scholars identify the type of graph from a series of data displays and then develop questions to match each one. Then, given a scatter plot of height versus age data,...
EngageNY
Modeling a Context from a Verbal Description (part 2)
I got a different answer, are they both correct? While working through modeling problems interpreting graphs, the question of precision is brought into the discussion. Problems are presented in which a precise answer is needed and others...
Virginia Department of Education
Exploring Statistics
Collect and analyze data to find out something interesting about classmates. Groups devise a statistical question and collect data from their group members. Individuals then create a display of their data and calculate descriptive...
Teach Engineering
Energy Choices Game
Here's a fun game on a very serious matter. Scholars play a board game to learn about personal energy use and consumption. They see how various choices affect their energy use and costs, and then apply this knowledge to brainstorm ways...
Curated OER
Reflection/Evaluation
Students practice the skills of reflection and evaluation. In this reflection instructional activity, students are grouped together and asked to brainstorm what they have learned during a particular unit. Students decide what they want...
Concord Consortium
Fermi Time
It's all just a matter of time. The resource provides four Fermi questions in reference to time. The questions are open-ended and require classmates to make use of estimation and dimensional analysis.
Radford University
Are We Normal?
Develop a sense of normal. Learners develop two questions to ask classmates to gather numerical data before creating a box and whisker plot and a histogram to display their data. Class members make inferences and investigate the data...
Rational Number Project
Initial Fraction Ideas Lesson 18: Overview
Develop young mathematicians' ability to compare fractions with investigation into the number 1/2. After brainstorming a list of fractions equivalent to 1/2, children identify a pattern in the numerators and denominators that allows them...
EngageNY
Tables of Equivalent Ratios
Don't table the discussion on equivalent ratios — do it now! Scholars create tables of equivalent ratios to represent contextual problems. Pupils go on to use the tables to answer questions within the context. The lesson is ninth in a...
CK-12 Foundation
Graphs of Absolute Value Equations: Absolute Value Distance
The sole purpose of this interactive is to graph a function representing the distance of a car from a shoe store. Scholars use an interactive to graph such an absolute value function. They then answer a set of challenge questions...
CK-12 Foundation
Mode: Kittens
It is not as difficult as herding cats. The short interactive provides a group of kittens to sort according to their colors. Pupils determine the mode of the number of kittens by color. The questions continue with other numbers of...
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...
US Department of Commerce
Creating and Taking a Survey
Individuals learn how to conduct surveys and collect data for the class on age, pets, and number of people at home. Scholars compare their household size to the information in the census. Pupils then develop additional questions to ask...
Curated OER
Youth Obesity: Schools Fight Back
Explore nutrition and healthy eating habits with a study on youth obesity. Learners watch a PBS documentary on the obesity epidemic which discusses government programs aimed at healthier choices, as well as more localized efforts. Kids...
Scientific American
Life-Sized Drawing
Ocean explorers or mathematicians research the wreck of the CSS H.L. Hunley. They investigate the actual dimensions of the Hunley using math and measuring skills. Afterward, they sketch a large scale drawing of the submarine outdoors on...