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Shodor > Interactivate > Standards > Common Core State Standards: Functions > Aligned Resources

Common Core State Standards
Functions
Interpreting Functions:
Interpret functions that arise in applications in terms of the context
Calculating...
Lesson  (...)
Lesson: Introduces students to a geometric derivation of the conic sections.

Lesson: Explores derivatives and the idea of infinity using a geometric interpretation of slope.

Lesson: Introduces students to the vertical line test for graphs of functions.

Lesson: Teaches distinguishing between possible and impossible graphs of functions as well as causes of graphical impossibility.

Lesson: Introduces the basic ideas needed for understanding linear functions.

Lesson: Demonstrates the connections between formulas, graphs and words.

Activity  (...)
Activity: Manipulate different types of conic section equations on a coordinate plane using slider bars. Learn how each constant and coefficient affects the resulting graph. Choose from vertical or horizontal parabola, circle, ellipse, and vertical or horizontal hyperbola.

Activity: Enter a set of data points, then derive a function to fit those points. Manipulate the function on a coordinate plane using slider bars. Learn how each constant and coefficient affects the resulting graph.

Activity: View the graph and the equation of the line tangent to any function at any point on the function.

Activity: A more advanced version of Slope Slider, this activity allows the manipulation of the constants and coefficients in any function thereby encouraging the user to explore the effects on the graph of the function by changing those numbers.

Activity: Students can create graphs of functions entered as algebraic expressions -- similar to a graphing calculator.

Activity: Create graphs of functions and sets of ordered pairs on the same coordinate plane. This is like a graphing calculator with advanced viewing options.

Activity: This applet allows the user to make observations about the relationship between speed and position and how both of these are affected by initial velocity and the incline on which the biker is traveling.

Activity: Enter a set of data points and a function or multiple functions, then manipulate those functions to fit those points. Manipulate the function on a coordinate plane using slider bars. Learn how each constant and coefficient affects the resulting graph.

Activity: Review the properties of functions by looking at ten different curves and deciding whether or not they meet the criteria for a graph of a function. This activity simply displays the curves - it does not quiz the user.

Activity: Similar to other "flyers", Slope Slider uses slider bars to explore the effect of the multiplier and constant on a linear function of the form f(x)=mx+b. Explore the relationship between slope and intercept in the Cartesian coordinate system.

Activity: Learn about the vertical line test for functions by trying to connect points in the plane to build a function. When you have connected all of the points, you will be told if your graph is a valid graph of a function. Vertical Line Test is one of the Interactivate assessment explorers.

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