This 11-minute video lesson continues to look at 2010 IIT JEE Paper 1 Problem 45 Circle Hyperbola Common Tangent.
This 9-minute video lesson continues to look at 2010 IIT JEE Paper 1 Problem 45 Circle Hyperbola Common Tangent.
This 11-minute video lesson continues to look at 2010 IIT JEE Paper 1 Problem 45 Circle Hyperbola Common Tangent.
This 12-minute video lesson concludes the look at 2010 IIT JEE Paper 1 Problem 45 Circle Hyperbola Common Tangent.
This 13-minute video lesson looks at 2010 IIT JEE Paper 1 Problem 46 Circle Hyperbola Intersection.
This 9-minute video lesson is about identifying conics.
This 6-minute video lesson looks at non-linear systems of equations.
This 7-minute video lesson concludes the look at non-linear systems of equations.
The construction of the perpendicular bisector of a line segment is one of the most common in plane geometry and it is undertaken here. In addition to giving students a chance to work with straightedge and compass, the problem uses triangle congruence both to show that the constructed line is perpendicular to AB and to show that it bisects AB.
This lesson shows how to write a fraction as a decimal number.
Understanding alternate coordinate systems. Created by Sal Khan.
In this optics/mathematics activity, learners use two hinged mirrors to create a kaleidoscope that shows multiple images of an object. Learners discover that the number of images reflected in the mirrors depends on the angle between the mirrors. Learners also observe that when they set the hinged mirrors on top of a third mirror, they create a reflector that always sends light back in the direction from which it came. Use this activity to introduce basic principles of light and optics including angle of reflection and angle of incidence.
This task presents a real world application of finite geometric series. The context can lead into several interesting follow-up questions and projects. Many drugs only become effective after the amount in the body builds up to a certain level. This can be modeled very well with geometric series.
This word problem requires students to create expressions to calculate gas milage for a vehicle.
The purpose of this task is to introduce or reinforce the concept of a function, especially in a context where the function is not given by an explicit algebraic representation. Further, the last part of the task emphasizes the significance of one variable being a function of another variable in an immediately relevant real-life context.
Sal discusses the conditions of matrix dimensions for which addition or multiplication are defined. Created by Sal Khan.
The primary purpose of this task is to illustrate certain aspects of the mathematics described in the A.SSE.1. The task has students look for structure in algebraic expressions related to a context, and asks them to relate that structure to the context. In particular, it is worth emphasizing that the task requires no algebraic manipulation from the students.
This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important aspects of the task and its potential use.
This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important aspects of the task and its potential use.
This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important aspects of the task and its potential use.