CCSS.Math.Content.HSN-VM.C.6
The standard
(+) Use matrices to represent and manipulate data, e.g., to represent payoffs or incidence relationships in a network.
Common Core State Standards for Mathematics · Vector and Matrix Quantities
What this standard means
Students need to organize real data in a matrix, label rows and columns correctly, and use entries to answer questions. They should be able to model situations like game payoffs, schedules, costs, or network connections, then add, multiply, or compare matrices when the context calls for it.
Mastery looks like choosing a matrix layout that matches the situation and explaining what a specific entry means. Students often mix up row and column labels, treat every table as a matrix operation problem, or multiply matrices without checking what the product represents.
Ways to teach it
- Give groups a bus route map and have them build a 0-1 connection matrix showing which stops are directly linked.
- Ask students to write what row 2, column 4 means in a payoff matrix for two competing phone plans.
- Use an exit ticket with a 3 by 3 network matrix and ask students to identify all direct connections from one node.
- Have students model cafeteria sales by item and day, then use a price matrix to calculate total revenue.
Plan a lesson for CCSS.Math.Content.HSN-VM.C.6
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Related standards
- CCSS.Math.Content.HSN-VM.C.7
(+) Multiply matrices by scalars to produce new matrices, e.g., as when all of the payoffs in a game are doubled.
- CCSS.Math.Content.HSN-VM.C.8
(+) Add, subtract, and multiply matrices of appropriate dimensions.
- CCSS.Math.Content.HSN-VM.C
Perform operations on matrices and use matrices in applications.
- CCSS.Math.Content.HSA-REI.C.8
(+) Represent a system of linear equations as a single matrix equation in a vector variable.