Florida B.E.S.T. MA.912.C.1.1
The Standard
Demonstrate understanding of the concept of a limit and estimate limits from graphs and tables of values.
Florida B.E.S.T. Standards for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students describe what happens to output values as inputs approach a number. They estimate limits from graphs and tables, checking behavior from both sides.
What Mastery Looks Like
- Students estimate a limit from values or graph behavior on both sides of an input. They identify when a limit does not exist and separate the limit from the function value.
Common Misconceptions
- Students often confuse the limit at an input with the actual function value there. They may check only one side or assume a hole means the limit does not exist.
How to Assess It
- Give the table x: 1.9, 1.99, 2.01, 2.1 and f(x): 3.8, 3.98, 4.02, 4.2. Ask students to estimate the limit as x approaches 2 and explain whether setting f(2) = 7 changes it.
Lesson moves
Ways to Teach It
Have students arrange input and output cards to show values approaching a target from the left and right.
Show a graph with a hole and ask, "What value does the function approach, and what evidence supports your answer?"
Play Limit Match by pairing graph cards, table cards, and limit statements, including examples where limits do not exist.
Use average speed near a given time to connect nearby table values with an approaching instantaneous rate.
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Printable MA.912.C.1.1 Worksheet
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Related Standards
- MA.912.C.1.2
Determine the value of a limit if it exists algebraically using limits of sums, differences, products, quotients and compositions of continuous functions.
- MA.912.C.1
Develop an understanding for limits and continuity. Determine limits and continuity.
- 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.C.1.7
Find special limits by using the Squeeze Theorem or algebraic manipulation.
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