Florida B.E.S.T. MA.912.AR.2.5
The Standard
Solve and graph mathematical and real-world problems that are modeled with linear functions. Interpret key features and determine constraints in terms of the context.
Florida B.E.S.T. Standards for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students write or use a linear function, solve for unknown values, and graph the relationship. They interpret slope, intercepts, and other features, then limit the domain and range to values that make sense.
What Mastery Looks Like
- A student can write an equation from a situation, graph the relevant part, and solve for an unknown input or output. The student correctly explains the slope, intercepts, and limits using the quantities and units in the problem.
Common Misconceptions
- Students often confuse the starting value with the rate of change or switch the roles of the variables. They may graph the full line when time, distance, or item counts must be nonnegative. They may also ignore whole-number restrictions for quantities such as tickets or people.
How to Assess It
- Give this exit ticket: “A rental bike costs $12 plus $4 per hour. Write and graph the function, find the cost for 5 hours, and state reasonable constraints.”
Lesson moves
Ways to Teach It
Measure the height of stacks of one through six cups, graph the data, write a function, and restrict the domain to whole numbers.
Have students explain the slope, intercept, and valid time interval in a graph of water draining from a tank.
Run a card sort matching four situations with their equations, graphs, solutions, and domain restrictions; require students to justify each match.
Use local bus fare and distance data to model trip cost, then find the farthest trip possible with a set budget.
Free download
Printable MA.912.AR.2.5 Worksheet
A ready-to-print activity worksheet aligned to MA.912.AR.2.5, with an answer key for the teacher on its own page. No account needed.
PDF, US Letter, prints cleanly in black and white.
Download the worksheetKeep exploring
Related Standards
- MA.912.AR.8.3
Solve and graph mathematical and real-world problems that are modeled with rational functions. Interpret key features and determine constraints in terms of the ...
- MA.912.AR.3.8
Solve and graph mathematical and real-world problems that are modeled with quadratic functions. Interpret key features and determine constraints in terms of the...
- MA.912.AR.4.4
Solve and graph mathematical and real-world problems that are modeled with absolute value functions. Interpret key features and determine constraints in terms o...
- MA.912.AR.9.10
Solve and graph mathematical and real-world problems that are modeled with piecewise functions. Interpret key features and determine constraints in terms of the...
Turn this exact standard into a lesson
Grade, subject, topic, and the complete standard are prefilled. Create one free, no account needed.