Shared Gizmo List: MP1: AFDA

MP1: AFDA- Richmond City Public Schools
Pre-Algebra

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Shared by an elementary school math and science teacher.

Functions (Linear, quadratic, exponential, logarithmic)

AFDA.4

Exponential Functions Explore the graph of an exponential function. Vary the coefficient and base of the function and investigate the changes to the graph of the function.
  5 Minute Preview   Lesson Info
Logarithmic Functions: Translating and Scaling Vary the values in the equation of a logarithmic function and examine how the graph is translated or scaled. Connect these transformations with the domain of the function, and the asymptote in the graph.
  5 Minute Preview   Lesson Info
Points, Lines, and Equations Compare the graph of a linear function to its rule and to a table of its values. Change the function by dragging two points on the line. Examine how the rule and table change.
  5 Minute Preview   Lesson Info
Quadratics in Polynomial Form Compare the graph of a quadratic to its equation in polynomial form. Vary the coefficients of the equation and explore how the graph changes in response.
  5 Minute Preview   Lesson Info
Quadratics in Factored Form Investigate the factors of a quadratic through its graph and through its equation. Vary the roots of the quadratic and examine how the graph and the equation change in response.
  5 Minute Preview   Lesson Info
Function Machines 2 (Functions, Tables, and Graphs) Drop a number into a function machine, and see what number comes out! You can use one of the six pre-set function machines, or program your own function rule into one of the blank machines. Stack up to three function machines together. Input and output can be recorded in a table and on a graph.
  5 Minute Preview   Lesson Info
Rational Functions Compare the graph of a rational function to its equation. Vary the terms of the equation and explore how the graph is translated and stretched as a result. Examine the domain on a number line and compare it to the graph of the equation.
  5 Minute Preview   Lesson Info
Point-Slope Form of a Line Compare the point-slope form of a linear equation to its graph. Vary the coefficients and explore how the graph changes in response.
  5 Minute Preview   Lesson Info
Slope Explore the slope of a line, and learn how to calculate slope. Adjust the line by moving points that are on the line, and see how its slope changes.
  Free   Lesson Info
Slope-Intercept Form of a Line Compare the slope-intercept form of a linear equation to its graph. Vary the coefficients and explore how the graph changes in response.
  5 Minute Preview   Lesson Info
Solving Linear Systems (Slope-Intercept Form) Solve systems of linear equations, given in slope-intercept form, both graphically and algebraically. Use a draggable green point to examine what it means for an (x, y) point to be a solution of one equation, or of a system of two equations.
  5 Minute Preview   Lesson Info
Distance-Time Graphs - Metric Create a graph of a runner's position versus time and watch the runner complete a 40-meter dash based on the graph you made. Notice the connection between the slope of the line and the speed of the runner. What will the runner do if the slope of the line is zero? What if the slope is negative? Add a second runner (a second graph) and connect real-world meaning to the intersection of two graphs.
  5 Minute Preview   Lesson Info
Standard Form of a Line Compare the standard form of a linear equation to its graph. Vary the coefficients and explore how the graph changes in response.
  5 Minute Preview   Lesson Info

Function Models and Behaviors

AFDA.1

Cubic Function Activity (Classic) Explore a cubic function, along with the associated Center of Rotation. Vary the coefficients of the equation and examine how the graph changes in response.
  5 Minute Preview   Lesson Info
Quadratics in Polynomial Form Compare the graph of a quadratic to its equation in polynomial form. Vary the coefficients of the equation and explore how the graph changes in response.
  5 Minute Preview   Lesson Info
Parabolas Explore parabolas in a conic section context. Find the relationship among the vertex, focus, and directrix of a parabola, and how that relates to its equation.
  5 Minute Preview   Lesson Info
Golf Range Try to get a hole in one by adjusting the velocity and launch angle of a golf ball. Explore the physics of projectile motion in a frictional or ideal setting. Horizontal and vertical velocity vectors can be displayed, as well as the path of the ball. The height of the golfer and the force of gravity are also adjustable.
  5 Minute Preview   Lesson Info
Quadratics in Factored Form Investigate the factors of a quadratic through its graph and through its equation. Vary the roots of the quadratic and examine how the graph and the equation change in response.
  5 Minute Preview   Lesson Info
Polynomials and Linear Factors Create a polynomial as a product of linear factors. Vary the values in the linear factors to see how their connection to the roots of the function.
  5 Minute Preview   Lesson Info
Graphs of Polynomial Functions Study the graphs of polynomials up to the fourth degree. Vary the coefficients of the equation and investigate how the graph changes in response. Explore things like intercepts, end behavior, and even near-zero behavior.
  5 Minute Preview   Lesson Info
Radical Functions Compare the graph of a radical function to its equation. Vary the terms of the equation. Explore how the graph is translated and stretched by the changes to the equation.
  5 Minute Preview   Lesson Info