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Curated OER
Irregular Fractals
Students study and research irregular fractals and construct a few based on their research. Students practice pattern recognition skills and plane geometry skills calculating dimensions on the Fractured Pictures activity.
Curated OER
Investigating the Idea of Tan
Fifth graders use tan to solve problems involving right-angled triangles. They solve equations of the form tan(8) =a, for a between 180 degrees and 360 degrees. They state the value of tan (8) in special cases.
Paul Dawkins
Paul's Online Notes: Math Notes: Excluded Values in Rational Functions
A description and example of which values are excluded from the domain of a rational function.
Concord Consortium
Concord Consortium: Inverses of Functions
Learn how to graph the inverse of a series of discrete and continuous. Also learn how to determine whether the inverse of a function is also a function.
Mathigon
Mathigon: Graphs and Networks: The Bridges of Konigsberg
This lesson focuses on developing a way to cross all 7 Bridges of Konigsberg without crossing any of them more than once. Euler discovered it was impossible, but he developed the idea of using graph theory to determine if it would be...
Math Graphs
Houghton Mifflin: Math Graphs: Derivative and Continuity 1 [Pdf]
Learners are given two parts of the graph of a continuous differentiable function and examine the zeros, conditions of continuity, and a sketch of the derivative. The graph is available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Derivative and Continuity 2 [Pdf]
Learners are given two parts of the graph of a continuous differentiable function and examine the zeros, conditions of continuity, and a sketch of the derivative. The graph is available in PDF format.
Texas Education Agency
Texas Gateway: Determining Reasonable Domains and Ranges (Verbal/graph)
Given a graph and/or verbal description of a situation (both continuous and discrete), the student will identify mathematical domains and ranges and determine reasonable domain and range values for the given situations.
Texas Instruments
Texas Instruments: Graph It in Pieces: Piecewise Defined Functions
In this activity, students' will record motion data for a walker and describe segments of the walker's motion using linear function. They will model the motion data using a piece-wise continuous function assembled from linear functions.
Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: Continuidad De Funciones
In this interactive unit you will be able to understand the concept of continuity, determine whether a function is continuous from its graph and to distinguish the different types of discontinuities both graphically and analytical.
CK-12 Foundation
Ck 12: Basic Graph Types
[Free Registration/Login may be required to access all resource tools.] Students will review the different types of graphs, and the differences between discrete and continuous data, and between qualitative and quantitative data. They...
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Limits
Hotmath provides 25 practice problems that deal with limits and graphs of limits. Each of the practice problems include a step-by-step guide.
Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: Continuidad De Funciones
In Spanish. In this interactive unit you will be able to tell if a function is continuous from its graph, understand the concept of continuity of functions and to distinguish between the different types of discontinuities either...
CK-12 Foundation
Ck 12: Algebra Ii: 3.11 Modeling With Exponential Decay and Log Functions
This lesson continues exploring the process for modeling real world scenarios by writing and solving exponential and logarithmic functions. It also covers how to create and interpret graphs of such functions.
Khan Academy
Khan Academy: Absolute Minima & Maxima (Entire Domain)
Find absolute minimum/maximum points of continuous functions over their entire domain.
Interactive Mathematics
Interactive Mathematics: Limits
Beginning with a discussion on continuity, this site introduces the concept of limits. Several examples are presented, some of which allow you to work the problem yourself before seeing the problem. Graphs are included on several of the...
Texas Instruments
Texas Instruments: Modeling Exponential Decay With a Look at Asymptotes
Students use sample data to approximate models with the Transformation Graphing Application. They are introduced to the idea of discrete data sets being used with continuous function models. They also identify non-zero asymptote form of...
Math Graphs
Houghton Mifflin: Math Graphs: Derivative of a Graph [Pdf]
Students examine the derivative of a graph and the relationship between the derivative and the original function. The practice exercise is available in PDF format.
CK-12 Foundation
Ck 12: Statistics: Basic Graph Types
[Free Registration/Login may be required to access all resource tools.] Organize distributions of data by using a number of different methods.
CK-12 Foundation
Ck 12: Probability: Exponential Distributions
[Free Registration/Login may be required to access all resource tools.] Covers exponential distributions. Presents examples using a graphing calculator as well as guided and independent practice questions.
Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: Procedimiento Para Analizar Una Funcion
Use this unit to learn and practice the general procedure for representing curves in the form y=f(x). It provides a more advanced look at polynomial and rational functions with interactive graphs.
Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: Derivadas Laterales
This interactive unit is intended to show by graphing and calculations, the elements involved in the study of the growth of a functions and its relation to the definition of derivative.
Texas Instruments
Texas Instruments: Taking It to the Limit
Students explore the concept of limits, both finite and infinite, using the graphing calculator. Each rule has a set of examples and a section for the students to try other examples to create a basis of understanding of each of the rules.
Math Medics
S.o.s. Math: Limits and Infinity
Graphs a limit with vertical asymtopes and shows the limits when x approaches 0 and 0 from left and right. Contains many examples.