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.Mathematics concepts can be modeled in many ways depending on the student's level of abstraction. This could be as concrete as using manipulatives to create a picture or writing a mathematical representation for a problem. It could also be more in depth or abstract as students analyze or describe relationships between quantities given in a scenario by using numbers or symbols.
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. They understand that revision does not make them wrong, but it can strengthen their reasoning towards an answer.
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 manipulatives, pictures, 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.
Although modeling is a mathematical practice taught at all grade levels to help students visualize and solve math problems, specific High School Modeling Standards also focus on graded content, which your students will need to attain.Modeling is the process of choosing and using appropriate mathematics and statistics to analyze practical situations, to understand them better, and to improve decisions. If this process is practiced throughout students' educational experiences, then they will acquire more success in high school.