Circles – Slope of Tangent Line
This guide teaches how to find the slope of a tangent line to a circle using Desmos. It provides a step-by-step process to calculate the exact value of the slope, including converting decimal representations to fractions, and for finding the slope of a perpendicular (tangent) line.
Circles – Intersecting the y-axis at One Point
This guide explains how to identify a circle that intersects the y-axis at only one point. It provides a step-by-step approach to visually analyze the graph of different circle equations, enabling you to determine which equation satisfies the given condition.
Circle – Point Outside of Circle
This guide helps you identify points that lie outside a given circle by using Desmos. It will teach you how to visualize the circle and its points on a graph to determine which points fall outside the circular boundary.
Circles – Possible Point on Circle
This guide provides a step-by-step solution for finding a possible point on a circle by using Desmos to test answer choices and identify the point that intersects the circle.
Circles – Value of Constant (SPR)
This guide teaches you how to use Desmos to find the radius of a circle that passes through two given points. It demonstrates how to adjust a slider to manipulate the circle’s size until it perfectly aligns with the given endpoints.
Circles – Vertical Shift of a Circle
This guide will teach you how to identify the equation of a circle that has been shifted vertically by a specific amount. You will learn to recognize the changes in the equation that correspond to an upward shift and apply this knowledge to solve problems involving vertical translation of circles.
Circles – Horizontal Shift of a Circle
This guide will teach you how to visually identify the horizontal shift of a circle by comparing the original equation to the transformed equation. You’ll learn how to recognize the relationship between the changes made to the equation and the corresponding movement of the circle on the coordinate plane.
Circles – Coordinates of Diameter
This guide will teach you how to use Desmos to find the coordinates of a point on a circle that lies directly across from a given point, forming a diameter. By understanding the properties of circles and their equations, you’ll learn to visually identify and determine the coordinates of this opposing point.
Circles – Radius of Circle
This guide will teach you how to determine the radius of a circle by utilizing the information provided in the graph of the circle. It will illustrate how to calculate the radius using the diameter and provide you with a clear understanding of the relationship between these two important circle properties.
One-variable data: distributions and measures of center and spread – Mean from Frequency Table
This guide demonstrates how to calculate the mean of a data set represented in a frequency table using Desmos. It breaks down the process of finding the mean using a table format, showing how to multiply frequencies by data points and then calculate the average. This method helps visualize and understand the concept of weighted average, where each data point’s contribution to the mean is proportional to its frequency.