Bianca visits a bike shop and learns how bicycle gears work in this Cyberchase video segment.
This Cyberchase video segment features Bianca, who must figure out the fastest route to a movie premiere.
This video segment from Cyberchase introduces the idea of inverse operations as Bianca imagines herself as a spy.
Students act as R&D entrepreneurs, learning ways to research variables affecting the market of their proposed (hypothetical) products. They learn how to obtain numeric data using a variety of Internet tools and resources, sort and analyze the data using Excel and other software, and discover patterns and relationships that influence and guide decisions related to launching their products. First, student pairs research and collect pertinent consumer data, importing the data into spreadsheets. Then they clean, organize, chart and analyze the data to inform their product production and marketing plans. They calculate related statistics and gain proficiency in obtaining and finding relationships between variables, which is important in the work of engineers as well as for general technical literacy and decision-making. They summarize their work by suggesting product launch strategies and reporting their findings and conclusions in class presentations. A finding data tips handout, project/presentation grading rubric and alternative self-guided activity worksheet are provided. This activity is ideal for a high school statistics class.
In this card game students play in pairs to practice recognizing the biggest number.
The purpose of this task is for students to interpret two distance-time graphs in terms of the context of a bicycle race. There are two major mathematical aspects to this: interpreting what a particular point on the graph means in terms of the context, and understanding that the "steepness" of the graph tells us something about how fast the bicyclists are moving.
This short video and interactive assessment activity is designed to teach second graders about bills and coins - word problems.
Students act as if they are biological engineers following the steps of the engineering design process to design and create protein models to replace the defective proteins in a child’s body. Jumping off from a basic understanding of DNA and its transcription and translation processes, students learn about the many different proteins types and what happens if protein mutations occur. Then they focus on structural, transport and defense proteins during three challenges posed by the R&D; bio-engineering hypothetical scenario. Using common classroom supplies such as paper, tape and craft sticks, student pairs design, sketch, build, test and improve their own protein models to meet specific functional requirements: to strengthen bones (collagen), to capture oxygen molecules (hemoglobin) and to capture bacteria (antibody). By designing and testing physical models to accomplish certain functional requirements, students come to understand the relationship between protein structure and function. They graph and analyze the class data, then share and compare results across all teams to determine which models were the most successful. Includes a quiz, three worksheets and a reference sheet.
Students learn how to manipulate the behavior of water by using biochar—a soil amendment used to improve soil functions. As a fluid, water interacts with soil in a variety of ways. It may drain though a soil’s non-solid states, or its “pores”; lay above the soil; or move across cell membranes via osmosis. In this experiment, students solve the specific problem of standing water by researching, designing, and engineering solutions that enable water to drain faster. This activity is designed for students to explore how biochar helps soils to act as “sponges” in order to retain more water.
Students will discuss the definition of a biography and determine what elements it contains. They will research a famous person and create a web graphic organizer with key achievements and personal information from their life. Peer feedback will be given on the web creation and then an oral presentation will be given.
This task asks students to glean contextual information about bird eggs from a collection of measurements of said eggs organized in a scatter plot. In particular, students are asked to identify a correlation and use it to make interpolative predictions, and reason about the properties of specific eggs via the graphical presentation of the data.
This task provides the most famous construction to bisect a given angle. It applies when the angle is not 180 degrees.
Describe a bivariate relationship's linearity, strength, and direction. In other words, plotting things that take two variables into consideration and trying to see whether there's a pattern with how they relate.
In this task, output is given from a computer-generated simulation, generating size-100 samples of data from an assumed school population of 2000 students under hypotheses about the true distribution of yes/no voters.
The purpose of this task is for students to find different pairs of numbers that sum to 4.
The purpose of this task is to assess a student's ability to compute and interpret an expected value. Notice that interpreting expected value requires thinking in terms of a long-run average.
Students learn how engineers gather data and model motion using vectors. They learn about using motion-tracking tools to observe, record, and analyze vectors associated with the motion of their own bodies. They do this qualitatively and quantitatively by analyzing several examples of their own body motion. As a final presentation, student teams act as engineering consultants and propose the use of (free) ARK Mirror technology to help sports teams evaluate body mechanics. A pre/post quiz is provided.
The purpose of this game is to help students think flexibly about numbers and operations and to record multiple operations using proper notation.
Students find the volume and surface area of a rectangular box (e.g., a cereal box), and then figure out how to convert that box into a new, cubical box having the same volume as the original. As they construct the new, cube-shaped box from the original box material, students discover that the cubical box has less surface area than the original, and thus, a cube is a more efficient way to package things. Students then consider why consumer goods generally aren't packaged in cube-shaped boxes, even though they would require less material to produce and ultimately, less waste to discard. To display their findings, each student designs and constructs a mobile that contains a duplicate of his or her original box, the new cube-shaped box of the same volume, the scraps that are left over from the original box, and pertinent calculations of the volumes and surface areas involved. The activities involved provide valuable experience in problem solving with spatial-visual relationships.
To display the results from the previous activity, each student designs and constructs a mobile that contains a duplicate of his or her original box, the new cube-shaped box of the same volume, the scraps that are left over from the original box, and pertinent calculations of the volumes and surface areas involved. They problem solve and apply their understanding of see-saws and lever systems to create balanced mobiles.