CCSS.Math.Practice.MP4
The Standard
Model with mathematics.
Common Core State Standards for Mathematics
What This Standard Means
What Students Need to Do
Students turn a real situation into a diagram, table, graph, equation, or formula. They choose useful information, make reasonable assumptions, solve, and explain the result in context. They adjust the model if the answer does not make sense.
What Mastery Looks Like
Students identify useful quantities and represent their relationships with a diagram, table, graph, equation, or formula. They explain what the result means, check whether it is reasonable, and revise the model when needed.
Common Misconceptions
Students may use every number given, even when some details do not matter. They may treat assumptions as facts or report a number without units, context, or a reasonableness check.
How to Assess It
Ask: “Plan seating for our class using tables that hold four students. Show a model, state one assumption, and explain whether your plan works.”
Ways to Teach It
- Give groups counters, cups, and a sharing problem, then have them build, record, and explain a model that fits the situation.
- Ask students to write when rounding up or down makes sense while planning buses, pizzas, or containers for a group.
- Create card sets with situations, diagrams, tables, graphs, and equations, then have teams race to build matching model sets.
- Use a grocery ad and a fixed budget to plan a class snack, including quantities, costs, assumptions, and leftover money.
Related Standards
- CCSS.Math.Content.HSA-CED.A
Create equations that describe numbers or relationships
- CCSS.Math.Content.HSN-VM.A
Represent and model with vector quantities.
- CCSS.Math.Content.HSG-MG.A
Apply geometric concepts in modeling situations
- CCSS.Math.Content.8.F.B
Use functions to model relationships between quantities.
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