CET11 Mathematics Question Bank – Straight Lines‚ Pair of Lines & Circles A straight line through the point A 3‚ 4 is such that its intercept between the axes is bisected at A . It’s equation is 1. (a) 4 x 3 y 24 Ans: a (b) 3x 4 y 25 (c) x y 7 (d) 3x 4 y 7 0 Sol: By formula required equation is given by x y 2 4 x 3 y 24 3 4 2. The equation of the line which is the perpendicular bisector of the line joining the points 3‚ 5 and 9‚3 is (a)
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1. Which are the traits of character in Dr. Montessori do you identify that contributed to her great achievements? Dr. Maria Montessori was a keen observer of children. She used her observational and experimental proclivities from her medical background to develop‚ what we might today call‚ a Constructivist understanding of the process of learning. She studied them scientifically. If she saw some unusual behavior in a child‚ she would say‚”I won’t believe it now‚ I shall if it happens again”
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Mardiana Ulfa “A child’s different inner sensibilities enable him to choose from his complex environment what is suitable and necessary for his growth. They make the child sensitive to some things‚ but leave him indifferent to others. When a particular sensitiveness is aroused in a child‚ it is like a light shines on some objects but not others‚ making of them his whole world.” The Secret of Childhood‚ p.42‚ Chap 7 . Define the terms of sensitive periods and explain how the teacher’s knowledge and
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only as an educator. She handles disputes‚ without judging. She offers support when a child lacks confidence in himself. “Never help a child with a task at which he feels he can succeed.” Maria Montessori. “Free the child’s potential‚ and you will transform him into the world”. Maria Montessori. That’s important not only for the child but the teacher as well. The teacher’s role is to offer support and encouragement in order for that individual to have trust in themselves‚ and confidence
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Sensorial area expands the child sensory perceptions and knowledge of the world. Maria Montessori called sensorial materials the "key to the universe" because they enable the to perceive‚ identity and classify what he sees‚ touches‚ smells‚ taste and hears. SENSORIAL The Sensorial area of the classroom uses the Sensorial Material to address the child’s Sensitive Period for the Refinement of the Senses. Dr. Montessori stated that the “Sensorial Materials are the keys to universe.” The first step for the
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Geometry in everyday life Geometry was thoroughly organized in about 300bc‚ when the Greek mathematician‚ Euclid gathered what was known at the time; added original work of his own and arranged 465 propositions into 13 books‚ called Elements. Geometry was recognized to be not just for mathematicians. Anyone can benefit from the basic learning of geometry‚ which is to follow the lines reasoning. Geometry is one of the oldest sciences and is concerned with questions of shape‚ size and relative
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Ana Ortiz Sensorial The Senses The basic five senses that we were all taught are visual (seeing)‚ auditory (hearing)‚ olfactory (smelling)‚ gustatory (tasting)‚ and tactile (touching). Most of the Montessori sensorial activities revolve around these senses. Everything humans do involves using one or more senses. It is through the senses that infants discover the world. Without one’s senses‚ the brain would be a prisoner to the skull. Humans experience these sensations through interactions with
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Non-Euclidean geometry is any form of geometry that is based on axioms‚ or postulates‚ different from those of Euclidean geometry. These geometries were developed by mathematicians to find a way to prove Euclid’s fifth postulate as a theorem using his other four postulates. They were not accepted until around the nineteenth century. These geometries are based on a curved plane‚ whether it is elliptic or hyperbolic. There are no parallel lines in non-Euclidean geometry‚ and the angles of triangles
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Elliptic geometry (sometimes known as Riemannian geometry) is a non-Euclidean geometry‚ in which‚ given a line L and a point p outside L‚ there exists no line parallel to L passing through p. Elliptic geometry‚ like hyperbolic geometry‚ violates Euclid’s parallel postulate‚ which asserts that there is exactly one line parallel to L passing through p. In elliptic geometry‚ there are no parallel lines at all. Elliptic geometry has other unusual properties. For example‚ the sum of the angles of any
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Geometric constructions involve drawing geometric shapes that satisfy certain requirements (onlinemathlearning.com). The main focus in construction is on equidistance and co-linearity. This is done through the use of certain tools namely the compass and the straight edge. It is used to construct angles‚ planes figures and segments. This mathematical skill is applicable in many fields such as architecture‚ engineering and construction just to name a few. Base on the fact that geometric construction
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