Ellipses and Hyperbolas

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Objective

I can graph ellipses and hyperbolas using their standard equations.

Part 1 of 3

Warm-up video

Unknown Channel · 5:00

We don't generate video — this one is by Unknown Channel on YouTube. The practice questions and exit ticket below were drafted by AI for this objective, and every question is editable in the teacher guide.

Part 2 of 3

Practice

7 questions

1

Define an ellipse and explain how it differs from a circle in terms of its geometric properties.

2

Given the standard equation of an ellipse, x²/9 + y²/4 = 1, identify the lengths of the major and minor axes and the coordinates of the foci.

Part 3 of 3

Exit ticket

Quick comprehension check

Given the standard equation of an ellipse, 4x² + 9y² = 36, rewrite this equation in standard form and graph the ellipse. Identify the center, lengths of the major and minor axes, and the coordinates of the foci. Given the standard equation of an ellipse, 16x² + 25y² = 400, rewrite this equation in standard form and graph the ellipse. Identify the center, lengths of the major and minor axes, and the coordinates of the foci.

Sample answer included in the free materials

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  • Teacher Guide

    Complete lesson plan with answer keys and alternate activities

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