Florida B.E.S.T. MA.912.C.1.4
The Standard
Find one-sided limits.
Florida B.E.S.T. Standards for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students track what output values approach as inputs move toward a point from one direction. They use graphs, tables, or formulas and keep the two directions separate.
What Mastery Looks Like
- A student can read each side from a graph, table, or piecewise rule. The student reports the approached value, even when the point is open or has a different function value.
Common Misconceptions
- Students use the value at the point instead of the nearby output values. They treat “from the left” as a negative answer. They may require both sides to agree even when only one side is requested.
How to Assess It
- Exit ticket: For f(x) = x + 1 when x < 2 and f(x) = 6 - x when x ≥ 2, determine the values approached as x nears 2 from each side.
Lesson moves
Ways to Teach It
Place output cards along a taped number line, then have students walk toward a marked input from each direction and record the outputs.
Show a graph with a jump and ask, “Why can two approaches to the same input produce different values?”
Play Limit Match by pairing graph cards with left-side and right-side value cards, then checking matches with a partner.
Use a parking fee that changes at two hours, and compare the cost as parking time approaches two hours from below and above.
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