Click on each topic to see how Math Practice 4 breaks down for easy interpretation.
Mathematically proficient students can apply the mathematics they know to solve problems arising in everyday life, society, and the workplace.There are many ways to model with mathematics. This could be as simple as writing a mathematical representation for a problem. It could also be more in depth as students analyze or describe relationships between quantities given in a scenario.
Mathematically proficient students who can apply what they know are comfortable making assumptions and approximations to simplify a complicated situation, realizing that these may need revision later.Students are able to break down a complicated situation into steps they understand, and they are willing to revise as they move through the process.
Mathematically proficient students are able to identify important quantities in a practical situation and map their relationships.Students are able to use such tools as diagrams, two-way tables, graphs, flowcharts and formulas. They are also able to analyze the relationships and draw conclusions.
Mathematically proficient students routinely interpret their mathematical results in the context of the situation.Students are able to test their solutions back into the scenario's context.
Mathematically proficient students reflect on whether the results make sense, possibly improving the model if it has not served its purpose.Students are able to figure out if their solutions make sense or need to be revised.
High School Modeling Standards are best interpreted not as a collection of isolated topics but rather in relation to other standards. Making mathematical models is a Standard for Mathematical Practice, and specific modeling standards appear throughout the high school standards indicated by a star symbol ★.Modeling is the process of choosing and using appropriate mathematics and statistics to analyze practical situations, to understand them better, and to improve decisions.