Illustrative Mathematics
Illustrative Mathematics: F if Interpreting the Graph
In this task, students are asked to label points on the graph of a function that illustrate several statements. Aligns with F-IF.A.
Illustrative Mathematics
Illustrative Mathematics: F Bf.3 Transforming the Graph of a Function
This task examines, in a graphical setting, the impact of adding a scalar, multiplying by a scalar, and making a linear substitution of variables on the graph of a function f. There is no formula for the function so the focus is on...
Illustrative Mathematics
Illustrative Mathematics: F Bf Building a Quadratic Function From F(x) = X^2
This is the first of a series of tasks aiming at understanding the quadratic formula in a geometric way in terms of the graph of a quadratic function. Here the student works with an explicit function and studies the impact of additive...
Illustrative Mathematics
Illustrative Mathematics: F Bf Medieval Archer
In this task about archery, students investigate the effects on a function of replacing f(x) with f(x+k). Aligns with F-BF.B.3.
Illustrative Mathematics
Illustrative Mathematics: F Bf Building Explicit Quadratic Function: Composition
For this task, students work through the steps and operations involved in the composition of an explicit quadratic function. The task assumes that the students are familiar with the process of completing the square. Aligns with F-BF.B.3...
Illustrative Mathematics
Illustrative Mathematics: F Bf Identifying Even and Odd Functions
In this task, students are presented with four functions and must determine whether each is odd, even, or neither. Includes a GeoGebra worksheet that can be used by the instructor to demonstrate the material. Aligns with F-BF.B.3.
CK-12 Foundation
Ck 12: Algebra: Graphs of Polynomials Using Transformations
[Free Registration/Login may be required to access all resource tools.] In this lesson, students apply transformations to uncommon polynomial functions. Students examine guided notes, review guided practice, watch instructional videos...
CK-12 Foundation
Ck 12: Analysis: Stretching and Reflecting Transformations
[Free Registration/Login may be required to access all resource tools.] Introduction to function transformations involving horizontal and vertical stretches and reflections.
CK-12 Foundation
Ck 12: Algebra Ii: Analysis: Graphs of Logarithmic Functions
[Free Registration/Login may be required to access all resource tools.] This lesson covers graphing logarithmic functions. Students examine guided notes, review guided practice and attempt practice problems.
Integrated Publishing
Integrated Publishing: Graphical Interpretation of Roots
This site compares the graphs of three quadratic functions, and explains how certain characteristics of the graph relate to properties of the equations and their solutions. Contains practice problems, including real-world examples.
CK-12 Foundation
Ck 12: Algebra: Graphs of Rational Functions Study Guide
This comprehensive study guide highlights the main terms and formulas needed to understand graphs of rational functions. Examples are included.
Khan Academy
Khan Academy: Absolute Value Graphs Review
The general form of an absolute value function is f(x)=a|x-h|+k. From this form, we can draw graphs. This article reviews how to draw the graphs of absolute value functions.
CK-12 Foundation
Ck 12: Algebra Ii: 1.4 Characteristics of Polynomial Graphs
This lesson explores graphs of polynomial equations including how to find the maximum and minimum y-values on a polynomial function.
Math Graphs
Houghton Mifflin: Math Graphs: Function and Derivative Graphs 1 [Pdf]
Students identify the graphs of the function and its derivative. The resource consists of an enlarged printable version of a math graph available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Function and Derivative Graphs 10 [Pdf]
Students identify the graphs of the function and its derivative. The resource consists of an enlarged printable version of a math graph available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Function, Derivative [Pdf]
Students identify the graphs of the function, its derivative, and its second derivative. The resource consists of an enlarged printable version of a math graph available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Function, Derivative [Pdf]
Students identify the graphs of the function, its derivative, and its second derivative. The resource consists of an enlarged printable version of a math graph available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Sketching Derivative & Second Derivative 1 [Pdf]
Learners use the graph of the original function to sketch the graphs of the derivative and second derivative. The resource consists of an enlarged printable version of a math graph available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Sketching Derivative & Second Derivative 2 [Pdf]
Learners use the graph of the original function to sketch the graphs of the derivative and second derivative. The resource consists of an enlarged printable version of a math graph available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Sketching Derivative & Second Derivative 4 [Pdf]
Learners use the graph of the original function to sketch the graphs of the derivative and second derivative. The resource consists of an enlarged printable version of a math graph available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Function and Derivative Graphs 3 [Pdf]
Learners distinguish between the graphs of the function and its derivative. The resource consists of an enlarged printable version of a math graph available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Function and Derivative Graphs 4 [Pdf]
Learners differentiate between the graphs of the function and its derivative. The resource consists of an enlarged printable version of a math graph available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Function and Derivative Graphs 5 [Pdf]
Students distinguish between the graphs of the function and its derivative. The example consists of an enlarged printable version of a math graph available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Function and Derivative Graphs 6 [Pdf]
Students differentiate between the graphs of the function and its derivative. The example includes an enlarged printable version of a math graph available in PDF format.