Florida B.E.S.T. MA.912.AR.8.2
The Standard
Given a table, equation or written description of a rational function, graph that function and determine its key features.
Florida B.E.S.T. Standards for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students identify domain restrictions before graphing. They use intercepts, holes, asymptotes, and end behavior to build an accurate sketch. They connect each feature to factors, table values, or context clues.
What Mastery Looks Like
- A student can produce a labeled graph without relying only on calculator output. The graph shows correct branches, excluded points, intercepts, asymptotes, domain, and end behavior.
Common Misconceptions
- Students often treat a canceled factor as a vertical asymptote instead of a hole. They may include excluded x-values in the domain or assume every graph crosses an asymptote. Some confuse zeros of the numerator with zeros of the denominator.
How to Assess It
- Exit ticket: For f(x) = (x² - 1)/(x² - x - 2), sketch and label the intercepts, hole, asymptotes, and domain restrictions.
Lesson moves
Ways to Teach It
Tape coordinate axes on desks, then have pairs place point cards, asymptote strips, and open circles for a given rational function.
Ask students to explain why a canceled factor creates a hole while an uncanceled denominator factor creates a vertical asymptote.
Play feature match: students pair rational equations with graph cards and defend each match using intercepts, holes, and asymptotes.
Graph A(x) = 500/x + 8 as average production cost, then interpret the asymptote and explain what happens as output grows.
Free download
Printable MA.912.AR.8.2 Worksheet
A ready-to-print activity worksheet aligned to MA.912.AR.8.2, 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.3.7
Given a table, equation or written description of a quadratic function, graph that function, and determine and interpret its key features.
- MA.912.AR.5.6
Given a table, equation or written description of an exponential function, graph that function and determine its key features.
- MA.912.AR.4.3
Given a table, equation or written description of an absolute value function, graph that function and determine its key features.
- MA.912.AR.2.4
Given a table, equation or written description of a linear function, graph that function, and determine and interpret its key features.
Turn this exact standard into a lesson
Grade, subject, topic, and the complete standard are prefilled. Create one free, no account needed.