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Rational numbers are numbers that can be expressed as fractions p/q, where p and q are integers and q is not equal to 0. Examples of rational numbers include 0, -8, -11/3, 5/10, and 9. The document describes how to perform addition, subtraction, multiplication, and division of rational numbers by applying the corresponding properties of fractions. For example, to add rational numbers a/b and p/q, the formula is (aq + bp)/bq.
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This document outlines a mathematics lesson plan about circles taught by Neethu Krishnan to a 9th standard class of 44 students. The lesson focuses on proving that chords of equal length are at equal distance from the circle's center. The teacher introduces the topic through questions, draws diagrams on the board, and has students work through proving the theorem using properties of right triangles and radii. Students are expected to understand and explain the proof, as well as identify related circle concepts.Article of priya
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1) Augustin-Louis Cauchy was a renowned French mathematician born in 1789 in Paris. He attended the top schools in Paris and graduated from the cole Polytechnique with honors.
2) After working as a junior engineer for three years, Cauchy devoted himself full-time to mathematics. He wrote influential works on analysis, functions, and geometry and was appointed to the Acad辿mie des Sciences in 1816.
3) Cauchy's career was disrupted after the 1830 revolution in France. He lost his posts but continued his mathematical work in Italy and Prague, tutoring the Duke of Bordeaux until 1838. He remained active in mathematics until his death in 1857.Priya1
Priya1VISHNUNIVASPRIYA
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The document discusses informal learning contexts that can support mathematics education outside of traditional classrooms, including maths fairs and exhibitions which allow students to conduct independent research and learn from others, as well as field trips which provide hands-on learning experiences that enrich classroom lessons by allowing students to directly observe objects and phenomena in their natural settings. Informal learning occurs through daily interactions and experiences and can be a more effective way to gain new knowledge and behaviors compared to formal education.Maths digital text
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This document discusses numerical solutions of partial differential equations. It contains an introduction and four chapters:
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2. Partial Differential Equations of Second Order - Classifies second order PDEs and provides examples.
3. Parabolic Equations - Discusses explicit and implicit finite difference methods like Schmidt's method and Crank-Nicolson method to solve heat equation.
4. Hyperbolic Equations - Will discuss numerical methods to solve hyperbolic PDEs like the wave equation.Priya
PriyaVISHNUNIVASPRIYA
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The document discusses e-Twinning, an initiative by the European Commission that aims to encourage collaboration between European schools using information and communication technologies. It provides the infrastructure and online tools to allow teachers to partner with other European schools on projects in any subject area. E-Twinning projects involve at least two teachers from two different European countries. The primary workspace is the e-Twinning portal, which over 50,000 teachers have registered on. E-Twinning promotes the development of students' digital skills and intercultural awareness through collaborative school projects.Recently uploaded (20)
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Priya lekshmi
- 1. RATIONAL NUMBERS A RATIONAL NUMBER IS ANY NUMBER THAT CAN BE EXPRESSED AS THE QUOTIENT OR FRACTION p/q OF TWO INTEGERS p AND q WITH THE DENOMINATOR q NOT EQUAL TO ZERO.
- 2. EXAMPLES 0 -8 -11/3 5/10 9
- 3. ADDITION OF RATIONAL NUMBERS a/b +p/q= aq/bq+bp/bq =(aq+bp)/bq
- 4. EXAMPLES (x/y) +(y/x)= (x族/xy) +(y族/xy) =(x族+y族) /xy x+(x/x-1) =(x族-x+x)/(x-1) =x族/(x-1)
- 5. SUBTRACTION OF RATIONAL NUMBERS (a/b)-(p/q)=(aq-bp)/bq
- 6. EXAMPLES (1/x+2)-(1/x-2) =(x-2-x-2)/(x+2)(x-2) = (-4)/(x+2) (x-2) (1/x)-(1/x+1) =(x+1-x)/x(x+1) =1/x(x+1)
- 9. DIVISION OF RATIONAL NUMBERS (a/b)歎 (p/q)=aq/bp
- 10. EXAMPLES o (12/5)歎 (2/3)=(12x3)/(5x2) =36/10 o 9歎(5/2) = (9x2)/5 =18/5