Mathematics | Course : Model Algebra I (Traditional Pathway)
Domain - Interpreting Categorical and Quantitative Data
Cluster - Summarize, represent, and interpret data on a single count or measurement variable. Use calculators, spreadsheets, and other technology as appropriate.
[AI.S-ID.A.1] - Represent data with plots on the real number line (dot plots, histograms, and box plots).*
- Box plot
A graphic method that shows the distribution of data values by using the median, quartiles, and extremes of the data set. A box shows the middle 50% of the data. - Dot plot
- Histogram
A type of bar graph used to display the distribution of measurement data across a continuous range.
[AI.S-ID.A.2] -
Use statistics appropriate to the shape of the data distribution to compare center (median, mean) and spread (interquartile range, standard deviation) of two or more different data sets.*
[AII.S-ID.A.4] -
Use the mean and standard deviation of a data set to fit it to a normal distribution and to estimate population percentages. Recognize that there are data sets for which such a procedure is not appropriate. Use calculators, spreadsheets, and tables to estimate areas under the normal curve.*
[HS.PHY.1.8] -
Develop a model to illustrate the energy released or absorbed during the processes of fission, fusion, and radioactive decay.
Clarification Statements: Examples of models include simple qualitative models, such as pictures or diagrams. Types of radioactive decay include alpha, beta, and gamma. State Assessment Boundary: Quantitative calculations of energy released or absorbed are not expected in state assessment.
[HS.PHY.2.1] -
Analyze data to support the claim that Newton’s second law of motion is a mathematical model describing change in motion (the acceleration) of objects when acted on by a net force. Clarification Statements: Examples of data could include tables or graphs of position or velocity as a function of time for objects subject to a net unbalanced force, such as a falling object, an object rolling down a ramp, and a moving object being pulled by a constant force. Forces can include contact forces, including friction, and forces acting at a distance, such as gravity and magnetic forces.
State Assessment Boundary: Variable forces are not expected in state assessment.