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Lesson 2: Connecting Geometry

with Algebra

Keoni and Sasha work with a parabola on the coordinate grid. They use the properties of the grid and the Pythagorean theorem to determine if the coordinates of a point are on a given parabola. They apply these methods to find the missing x-value of a point on the parabola for a given y-value.

Episode 1: Making Sense

Keoni notices that the grid allows them to measure the distance between some points and lines. Sasha and Keoni use the grid and the definition of a parabola to validate that three points are on the parabola.

Episode 2: Exploring

Sasha and Keoni use the Pythagorean theorem to justify why (4,4) is a point on the parabola.

Episode 3: Exploring

Keoni and Sasha extend their use of the Pythagorean theorem. They determine the x- value for a point on the parabola that has a y-value of 5.

Episode 4: Repeating Your Reasoning

Sasha and Keoni find the x-value of a point on the parabola with a y-value of 7.

Episode 5: Repeating Your Reasoning

Sasha and Keoni find the x-value of a point on the parabola with a y-value of 10.