The purpose of this task is to assess understanding of how study design dictates whether a conclusion of causation is warranted. This study was observational and not an experiment, which means that it is not possible to reach a cause-and-effect conclusion.
Material Type: Activity/Lab
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.
Material Type: Activity/Lab
The purpose of this task is to assess ability to interpret the slope and intercept of the least squares regression line in context.
Material Type: Activity/Lab
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.
Material Type: Activity/Lab
The basic idea of this task is for students to demonstrate that they know what it means for two variables to be associated.
Material Type: Activity/Lab
In this task students design a plan to conduct a random sample of the students in their school to estimate the proportion of students who think their parents are strict.
Material Type: Activity/Lab
This exercise demonstrates that judgment (non-random) samples tend to be biased in the sense that they produce samples that are not balanced with respect to the population characteristics of interest.
Material Type: Activity/Lab
The purpose of this task is to give students experience in using simulation to determine if observed results are consistent with a given model (in this case, the Ňjust guessingÓ model). Part (i) also addresses the role of random assignment in the design of an experiment and assesses understanding of this concept.
Material Type: Activity/Lab
The purpose of this task is to allow students to demonstrate an ability to construct boxplots and to use boxplots as the basis for comparing distributions. The solution should directly compare the center, spread, and shape of the two distributions and comment on the high outlier in the northbound data set.
Material Type: Activity/Lab
This is a simple task addressing the distinction between correlation and causation. Students are given information indicating a correlation between two variables, and are asked to reason out whether or not a causation can be inferred. The task would be well-suited either as an introduction to this distinction, or as an assessment item.
Material Type: Activity/Lab
This problem could be used as an introductory lesson to introduce group comparisons and to engage students in a question they may find amusing and interesting. More generally, the idea of the lesson could be used as a template for a project where students develop a questionnaire, sample students at their school and report on their findings.
Material Type: Activity/Lab
The purpose of this task is to have students compute and interpret an expected value, and then use the information provided by the expected value to make a decision. The task is designed to encourage students to communicate their findings in a non-technical form in context.
Material Type: Activity/Lab
The purpose of this task is to have students complete normal distribution calculations and to use properties of normal distributions to draw conclusions. The task is designed to encourage students to communicate their findings in a narrative/report form in context Đ not just simply as a computed number.
Material Type: Activity/Lab
This task addresses many standards regarding the description and analysis of bivariate quantitative data, including regression and correlation. Students should recognize that the pattern shown is one of a strong, positive, linear association, and thus a correlation coefficient value near +1 is plausible. Students should also be able to interpret the slope of the least-squares line as an estimated increase in y per unit change in x (and thus for a 3 unit increase in x, students should expect an estimated increase in y that equals 3 times the model's slope value).
Material Type: Activity/Lab
These games support student development of number sense and the concept of mathematical operations
Material Type: Game
Dominoes have become a staple in most primary classrooms. They build upon dice patterns and are often used to model decomposition of numbers, building student knowledge of addition facts. They are an excellent manipulative for primary students to use and these are some examples of how students might use dominoes in the math center. Try these domino games with students to improve math skills and number recognition. Encourage students to play these games at home with their families, using real dominoes or paper copies.
Material Type: Activity/Lab
This video segment from Between the Lions uses a line of laughing Lions to help build vocabulary and illustrate the meaning of words that typically challenge young children.
Material Type: Lecture
How many calories are in your favorite foods? How much exercise would you have to do to burn off these calories? What is the relationship between calories and weight? Explore these issues by choosing diet and exercise and keeping an eye on your weight.
Material Type: Activity/Lab, Interactive, Simulation
In this video from Cyberchase, Bianca uses data on past shoe sales to help her decide what quantities of each size she should order in the next shipment. ***Access to Teacher's Domain content now requires free login to PBS Learning Media.
Material Type: Lecture
In this Cyberchase video segment, the CyberSquad calculates the speed of each broom. ***Access to Teacher's Domain content now requires free login to PBS Learning Media.
Material Type: Lecture
