Difference between revisions of "Useful geogebra resources"
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==== 3. Polynomials ==== | ==== 3. Polynomials ==== | ||
[https://www.geogebra.org/m/TBCHkvDH 'Zeroes of a polynomial'] | [https://www.geogebra.org/m/TBCHkvDH 'Zeroes of a polynomial'] | ||
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| + | As you know, the zeros of a polynomial are precisely the x-coordinates of the point of intersection of the graph representing the polynomial with the x-axis, if they intersect. A polynomial can have either two distinct zeros, or two equal zeros (i.e., one zero) or no zero in real numbers. | ||
For which value of 'x', does the function f(x) become zero can be explored through this geogebra applet. | For which value of 'x', does the function f(x) become zero can be explored through this geogebra applet. | ||
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==== 5. Quadratic Equations ==== | ==== 5. Quadratic Equations ==== | ||
| + | [https://www.geogebra.org/m/FyfuNGuD Understanding quadratic equation ax<sup>2</sup>+bx+c=0 geometrically] | ||
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| + | The values of '''a,b''' and '''c''' for which the roots are the roots real and distinct, real and distinct, imaginary could be found out through this geogebra applet. | ||
| + | |||
| + | For ex: The values of '''a, b''' and '''c''' could be zero at the beginning. Then, retaining '''b'''=0 and '''c'''=0 the value of '''a''' could be increased to 1. The changes in the curve observed , the kind of roots obtained etc., with changes in the values of '''a,b''' and '''c''' could be some of the points of discussion in the classroom. | ||
==== 6. Progressions ==== | ==== 6. Progressions ==== | ||
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1.[https://www.geogebra.org/m/AbXvMgbN Introduction to Coordinate geometry] | 1.[https://www.geogebra.org/m/AbXvMgbN Introduction to Coordinate geometry] | ||
| − | + | This applet to review/evaluate their students' understanding of the basic concepts related to the unit. | |
| + | |||
| + | 2. [https://www.geogebra.org/m/YjUwfsXp Exploring slope and intercept of a line] | ||
| + | |||
| + | 'Slope' and 'X/Y intercepts' of a line can be better visualized and understood. | ||
==== 8. Similar Triangles ==== | ==== 8. Similar Triangles ==== | ||
| + | 1.[https://www.geogebra.org/m/GhGtuvV7 Similar triangles] | ||
| + | |||
| + | Two triangles are said to be similar, if their corresponding angles are equal or their corresponding sides are in proportion. | ||
| + | |||
| + | These conditions for similarity of triangles can be explored by increasing/decreasing the length of sides, flipping/rotating the triangles given in this geogebra file. | ||
| + | |||
| + | 2. [https://www.geogebra.org/m/wMa7HE9m Similar triangles exploration] | ||
| + | |||
| + | The relationships between the angles and the side length of similar shapes, their respective ratios etc., could be explored through this applet. | ||
==== 9. Tangents and Secants to a Circle ==== | ==== 9. Tangents and Secants to a Circle ==== | ||
| + | 1.[https://www.geogebra.org/m/XdmMxGVU Secant and Tangent to a Circle] | ||
| + | |||
| + | A straight line which intersects a circle at two distinct points is called a secant. A straight line that touches a circle at only one point is called a tangent. | ||
| + | |||
| + | Either of the points, B or C on the circumference of the circle can moved in this geogebra applet to discuss tangent, secant and chord, and some of their properties. | ||
| + | |||
| + | 2.[https://www.geogebra.org/m/xhThfJvn Construction of tangents to a circle] | ||
| + | |||
| + | This geogebra applet shows stepwise, how to construct tangents to a circle from an external point. The changes observed when the external point is moved around could be discussed. | ||
==== 10. Mensuration ==== | ==== 10. Mensuration ==== | ||
==== 11. Trigonometry ==== | ==== 11. Trigonometry ==== | ||
| + | 1. [https://www.geogebra.org/m/Ayu5w2Mr#material/maK2WwP4 Sine, Cosine and Tangent ratios] | ||
| + | |||
| + | The meanings of sine, cosine and tangent trigonometric ratios can be explored through this geogebra file. | ||
| + | |||
| + | 2. [https://www.geogebra.org/m/rtkH5nbd Trigonometric ratio estimations] | ||
| + | |||
| + | This geogebra applet could be used to review some trigonometric concepts. Arms of the right angled triangle can be moved using sliders to estimate trigonometric ratios of various angles. ''A demo video has been provided along-with this file.'' | ||
==== 12. Applications of Trigonometry ==== | ==== 12. Applications of Trigonometry ==== | ||
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==== 14. Statistics ==== | ==== 14. Statistics ==== | ||
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| + | [[Category:Mathematics]] | ||
Latest revision as of 11:19, 24 January 2018
Class X topics
1. Real Numbers
Suchetha S, Mathematics teacher, GHS Thyamangondlu, Bengaluru created this geogebra file on 'locating irrational numbers on a number line'.
Teachers could use this resource to help their students visualize the position of rational and irrational numbers on the number line.
2. Sets
3. Polynomials
As you know, the zeros of a polynomial are precisely the x-coordinates of the point of intersection of the graph representing the polynomial with the x-axis, if they intersect. A polynomial can have either two distinct zeros, or two equal zeros (i.e., one zero) or no zero in real numbers.
For which value of 'x', does the function f(x) become zero can be explored through this geogebra applet.
4. Pair of Linear Equations in Two Variables
5. Quadratic Equations
Understanding quadratic equation ax2+bx+c=0 geometrically
The values of a,b and c for which the roots are the roots real and distinct, real and distinct, imaginary could be found out through this geogebra applet.
For ex: The values of a, b and c could be zero at the beginning. Then, retaining b=0 and c=0 the value of a could be increased to 1. The changes in the curve observed , the kind of roots obtained etc., with changes in the values of a,b and c could be some of the points of discussion in the classroom.
6. Progressions
7. Coordinate Geometry
1.Introduction to Coordinate geometry
This applet to review/evaluate their students' understanding of the basic concepts related to the unit.
2. Exploring slope and intercept of a line
'Slope' and 'X/Y intercepts' of a line can be better visualized and understood.
8. Similar Triangles
Two triangles are said to be similar, if their corresponding angles are equal or their corresponding sides are in proportion.
These conditions for similarity of triangles can be explored by increasing/decreasing the length of sides, flipping/rotating the triangles given in this geogebra file.
2. Similar triangles exploration
The relationships between the angles and the side length of similar shapes, their respective ratios etc., could be explored through this applet.
9. Tangents and Secants to a Circle
1.Secant and Tangent to a Circle
A straight line which intersects a circle at two distinct points is called a secant. A straight line that touches a circle at only one point is called a tangent.
Either of the points, B or C on the circumference of the circle can moved in this geogebra applet to discuss tangent, secant and chord, and some of their properties.
2.Construction of tangents to a circle
This geogebra applet shows stepwise, how to construct tangents to a circle from an external point. The changes observed when the external point is moved around could be discussed.
10. Mensuration
11. Trigonometry
1. Sine, Cosine and Tangent ratios
The meanings of sine, cosine and tangent trigonometric ratios can be explored through this geogebra file.
2. Trigonometric ratio estimations
This geogebra applet could be used to review some trigonometric concepts. Arms of the right angled triangle can be moved using sliders to estimate trigonometric ratios of various angles. A demo video has been provided along-with this file.