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Loci and Regions: Understanding Locus of Points in Mathematics
This video is a lecture presentation on Loci and region. The speaker explains what a locus is and discusses the tools required for solving loci problems, including a ruler, compass, protractors, pens, and pencils. The speaker then goes...
msvgo
Cartesian Equation of a Circle
It defines circle as locus, and derive its Cartesian equation. It also explains how to determine intercepts and check symmetry for a given circle.
msvgo
Applications of Distance Formula
It provides solved problems based on co-linearity of points, proving the coordinates to be the vertices of a geometrical figure and on finding locus.
msvgo
Cartesian Equation of Parabola
It defines parabola as the locus of a point, and defines the associated terms. Derive the standard Cartesian equation of parabola and associated terms. Determine the symmetry.
msvgo
Cartesian Equation of Ellipse
It defines ellipse as the locus of a point, its associated terms. It also derives the Cartesian standard equation of ellipse.
Curated Video
Constructing loci
Pupil outcome: I can construct a set of points that satisfy a set of conditions. Key learning points: - Constructing a set of points a set distance from a given point produces a circle - A compass should be used for this construction -...
Curated Video
Advanced problem solving with loci and constructions
Pupil outcome: I can use my knowledge of loci and constructions to solve problems. Key learning points: - Your knowledge of loci can be applied to your knowledge of bearings - Your knowledge of loci can be used to help solve area problems
Curated Video
Problem solving with loci and constructions
Pupil outcome: I can use my knowledge of loci and constructions to solve problems. Key learning points: - Your knowledge of loci can be applied to your knowledge of bearings - Your knowledge of loci can be used to help solve area problems
Curated Video
Solving loci problems in context
Pupil outcome: I can solve problems involving a combination of loci. Key learning points: - Loci problems involve performing various constructions - The problem asks for these constructions within the context of the question - All...
Corbett Maths
Loci Part 1
Where can it go? The first video on loci develops a definition and provides some quick sketches of the loci of all points with given characteristics. The presenter does an example of the loci of points a given distance from an L shape.
Curated OER
Focus and Directrix of a Parabola 2
Continuing from a previous video, Sal takes the discussion of the focus and directrix of parabola further. Given the parabola, y=x2, he derives the focus and directrix by matching parts of the equation he found earlier. He then, comes up...
Khan Academy
Foci of a Hyperbola, Conic Sections, Algebra II
Sal defines a hyperbola's vertex and foci in this video and shows how to locate both. By comparing the hyperbola to an ellipse throughout the video, the listener sees the similarities between these two conic sections. This approach makes...
Curated OER
Parabola Focus and Directrix 1
Starting with a point (focus) and a line below the point (directrix), in this video, Sal tries to find the set of all points (locus) equidistant to the point and the line. He shows, using the distance formula, that indeed, we have an...
Khan Academy
Parabola Focus and Directrix 1
In this video, starting with a point (focus) and a line below the point (directrix), Sal tries to find the set of all points (locus) central to the point and the line. Using the distance formula, he shows that we have a parabola equation.