Curated OER
Three Calculus Overview Problems
In this calculus overview worksheet, learners: find the equation of a tangent line, curve sketch, and find limits. Students should have covered continuity as well.
Curated OER
Curve Sketching
In this calculus worksheet, students identify the point of increase and decrease on a graph. They analyze the curve of a graph using the derivative. There are 10 open questions about derivatives.
Wolfram Research
Wolfram Mathworld: Astroid
Find out how an astroid is related to the ellipse at this math page. This page starts with describing how an astroid may be created easily with two concentric circles with a given ratio, the site then goes into details regarding the...
Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: Teoremas De Bolzano Y De Weierstrass
In Spanish. In this interactive unit learn how to understand the concept of hypothesis and thesis and some important applications of the Bolzano-Weierstrass theorem.
CK-12 Foundation
Ck 12: Analysis: Polynomial and Rational Inequalities
[Free Registration/Login may be required to access all resource tools.] In this lesson students explore analytical, graphical and numerical methods of solving polynomial and rational equations.
Alabama Learning Exchange
Alex: Know Your Limits
The limit is the fundamental notion of calculus. This underlying concept is the thread that binds together virtually all of the calculus studied by the student. In this lesson, the student's knowledge of limits will be extended using...
Wolfram Research
Wolfram Math World: First Derivative Test
This MathWorld site shows how to find extrema using the first derivative test.
Math Graphs
Houghton Mifflin: Math Graphs: Transformations 13 [Pdf]
The practice problem has learners perform a transformation on a given graph. The graph is available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Transformations 8 [Pdf]
Students use a given graph to sketch new functions. The math graph is available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Transformations 9 [Pdf]
The practice problem examines how to create new graphs by transforming the original function. The math graph is available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Transformations 10 [Pdf]
The practice problem examines how to create new graphs by transforming the original function. The math graph is available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Transformations 11 [Pdf]
Students sketch a graph of g(x) by transforming f(x). The exercise consists of an enlarged printable version of a graph available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Transformations 12 [Pdf]
Students sketch a graph of g(x) by transforming f(x). The exercise consists of an enlarged printable version of a graph available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Transformations 14 [Pdf]
The practice problem has learners perform a transformation on a given graph. The graph is available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Transformations 15 [Pdf]
The exercise investigates a transformation on a given graph. The graph is available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Transformations 16 [Pdf]
The exercise investigates a transformation on a given graph. The graph is available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Transformations 17 [Pdf]
Students sketch a transformation of a given graph. The graph is available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Transformations 18 [Pdf]
Students sketch a transformation of a given graph. The graph is available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Symmetry 9 [Pdf]
Learners complete the second half of a graph using y-axis symmetry. The graph is available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Symmetry 10 [Pdf]
Learners complete the second half of a graph using x-axis symmetry. The graph is available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Symmetry 11 [Pdf]
Students sketch the second half of a graph using origin symmetry. The graph is available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Symmetry 12 [Pdf]
Students sketch the second half of a graph using y-axis symmetry. The graph is available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Transformations 19 [Pdf]
The exercise gives students practice with shifting up and down, left and right, and other graphical transformations. The graph is available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Transformations 20 [Pdf]
The exercise gives students practice with shifting up and down, left and right, and other graphical transformations. The graph is available in PDF format.