MA.912.C.1.2

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Determine the value of a limit if it exists algebraically using limits of sums, differences, products, quotients and compositions of continuous functions.

Examples

Example: Find begin mathsize 12px style limit as x rightwards arrow straight pi of left parenthesis sin space x space cos space x space plus space tan space x right parenthesis end style.
General Information
Subject Area: Mathematics (B.E.S.T.)
Grade: 912
Strand: Calculus
Standard: Develop an understanding for limits and continuity. Determine limits and continuity.
Date Adopted or Revised: 08/20
Status: State Board Approved

Related Courses

This benchmark is part of these courses.
1202300: Calculus Honors (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))

Related Access Points

Alternate version of this benchmark for students with significant cognitive disabilities.

Related Resources

Vetted resources educators can use to teach the concepts and skills in this benchmark.

Lesson Plan

Leap Frog Review Game:

In this lesson students will demonstrate their knowledge of limits, graphing, and exact trig limits evaluated using substitution. The students will play a game in which they evaluate their knowledge of problems in the unit while it serves as a formative assessment for the teacher. The students receive immediate feedback on their work while the teacher works the problems, correcting errors or misconceptions. This lesson gives the student a power review of the concepts in the unit because the timing is determined by the teacher. All students are engaged and focused while playing this game. Giving students access to the PowerPoint of the game after the lesson provides a good study tool for the students.

Type: Lesson Plan

Text Resource

No Limits For Usain:

This informational text resource is intended to support reading in the content area. The text uses the story of Usain Bolt and his quest to reduce his world record in the 100 meter race to raise the question of whether there is a limit to his—or any human's—athleticism. The article uses number series, limits, and convergent and divergent series to prove that, hypothetically at least, a world record will go on reducing beyond any limit. A logistic curve is shown to model the data.

Type: Text Resource

Tutorials

Limit by Factoring Cubic Expression:

Le'ts find a limit by factoring a cubic expression.

Type: Tutorial

Limit Properties:

Let's look at some examples of limits using various properties.

Type: Tutorial

Example of a limit:

This video will demonstrate how to find a limit of a quotient. 

Type: Tutorial

Student Resources

Vetted resources students can use to learn the concepts and skills in this benchmark.

Tutorials

Limit by Factoring Cubic Expression:

Le'ts find a limit by factoring a cubic expression.

Type: Tutorial

Limit Properties:

Let's look at some examples of limits using various properties.

Type: Tutorial

Example of a limit:

This video will demonstrate how to find a limit of a quotient. 

Type: Tutorial

Parent Resources

Vetted resources caregivers can use to help students learn the concepts and skills in this benchmark.