Students are shown the relationship between roots and fractional exponents (one can be rewritten as the other).

In this Khan Academy activity, students will plot the image of a shape that is rotated about the origin.

In this Khan Academy activity, students will plot the image of a shape that is rotated about a center that is not the origin.

The purpose of this task is to give students experience in using simulation to determine if observed results are consistent with a given model (in this case, the "just guessing" model). The final part of the task also addresses the role of random assignment in the design of an experiment and assesses understanding of this concept.

Students use the dilation theorem to show that the scale drawings constructed using the ratio and parallel methods have a scale factor that is the same as the scale factor for the dilation.

In this Khan Academy activity, students will solidify their understanding of what is preserved after a sequence of transformations.

The shifting of a function to the left or right on a graph is shown in this lesson.

This lesson is designed to build on students' knowledge of relating graphs to the parent linear function y = x. Student will take this understanding to apply it to relating the graphs of one function to another, such that they are able to identify how the graph of a linear function is affected by replacing f(x) with f(x)+k and f(x+k).

The upwards or downwards of a function on a graph is shown in this lesson.

This task provides a geometric context for working with ratios and algebraic equations. Students will create and then solve an algebraic equation describing a remarkable shape, the silver rectangle.

The goal of this task is to study if the analogue of the AA criterion for similarity of triangles holds for different types of quadrilaterals.

The goal of this task is to examine similarity of triangles from the point of view of proportional sides, showing that this is sufficient to conclude that two triangles are similar.

This task works toward establishing the AA criterion for similarity of triangles by providing a detailed sequence of transformations that moves one of the given triangles to the other.

In this Khan Academy activity, students will determine if two images are similar.