Illustrative Mathematics
Illustrative Mathematics: F tf.a, F bf.b.3 Exploring Sinusoidal Functions
In this task, students explore the effect that changing the parameters in a sinusoidal function has on the graph of the function. Aligns with F-TF.A and F-BF.B.3.
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, a Sse Building a General Quadratic Function
This task is a followup to the one called 'Building an explicit quadratic function.' In this one, learners follow the same process with a general quadratic function. The operations take place in the opposite order and the goal is to find...
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.