Florida B.E.S.T. MA.912.C.1.2
The Standard
Determine the value of a limit if it exists algebraically using limits of sums, differences, products, quotients and compositions of continuous functions.
Florida B.E.S.T. Standards for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students apply limit laws to combine known limits and evaluate expressions. They use direct substitution for continuous functions. When substitution gives an indeterminate form, they factor, cancel, or rationalize before trying again.
What Mastery Looks Like
- A student can choose and apply the correct limit laws, simplify accurately, and justify each step. They recognize indeterminate forms and determine whether further algebra produces a limit.
Common Misconceptions
- Students often treat 0/0 as the answer or claim the limit does not exist without simplifying. They may cancel terms instead of factors, use the quotient law when the denominator approaches zero, or confuse a function value with its limit.
How to Assess It
- Exit ticket: Evaluate lim x→2 of (x² + x − 6)/(x − 2), show the factorization, and explain why substitution works afterward.
Lesson moves
Ways to Teach It
Give groups cards showing limit expressions, algebraic rewrites, and values; students match each set and defend every match.
Ask students to explain why 0/0 is a signal to simplify, not a limit value.
Run a limit-law relay where teams factor, rationalize, substitute, and check one another’s result before passing the marker.
Use a position formula for a moving car, then find the limiting average velocity as the time interval shrinks.
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Printable MA.912.C.1.2 Worksheet
A ready-to-print activity worksheet aligned to MA.912.C.1.2, with an answer key for the teacher on its own page. No account needed.
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Related Standards
- MA.912.C.1
Develop an understanding for limits and continuity. Determine limits and continuity.
- MA.912.C.2.4
Apply the rules for finding derivatives of constants, sums, products, quotients and the Chain Rule to solve problems with functions limited to algebraic, trigon...
- MA.912.C.1.1
Demonstrate understanding of the concept of a limit and estimate limits from graphs and tables of values.
- MA.912.C.1.7
Find special limits by using the Squeeze Theorem or algebraic manipulation.
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