MATHGUIDE FOR ALL YOUR MATHEMATICS NEEDS

GRADE 10 C.B.S.E. QUESTIONS

ACTIVITY TO FIND AND UNDERSTAND AREA OF CIRCLE     Divide into sixteen parts and arrange these parts as shown. You get a near rectangle with length equal to half the circumference ( πr ) and breadth equal to radius (r). Therefore  Area of circle = Area of rectangular figure = length x Breadth = πr 2 NOTE : If we increase the numbers of divisions of circle in such a way that measure of arc on each part becomes a straight line then we can get a perfect rectangle. Division into sixteen parts make it easier to explain.

 Mathematics is an important school subject. It helps to develop logical reasoning in the students. It trains the brain to use logic to solve problems. I will enlist the points that make place of mathematics in schools permanent 1. Mathematics help in mental exercise and sharpen our mental faculties 2. Mathematics helps in understanding other subjects especially sciences 3. Mathematics has a very high practical value. It is used enormously in our daily life 4. Mathematics prepares us for future occupations like banking sector, commerce, architecture and         almost in every occupation 5. A good teacher can make mathematics very interesting Some arguments that go against mathematics are 1. Difficulty of the subject 2. Not significant correlation with other subjects like music, fine arts, languages etc. 3. Very basic arithmetics is used in most occupations 4. Even illiterate person without any knowledge of mathematics could carry out daily calculations 5. Sometimes mathematics class b

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Introduction       On one hand a teacher would say that mathematics is a valuable subject that's why it is a compulsory subject in schools. On the other hand students would say mathematics is tough and boring, so it should not be compulsory. Compulsory or not, mathematics is still very important and valuable school subject.       In understanding science and scientific facts, mathematics is required. For understanding business and commerce, mathematics is required. For buying and selling, mathematics is required. Thus practical life would be impossible without mathematics. Values of Mathematics          1. Practical Value - The day starts with a wake up alarm on a table clock. It's 5 O' clock and time to get up. I go out to get a cup of tea/coffee and spend money. I work all day to earn money. I prepare my weekly/monthly budget. I get my clothes stitched according to my body structure and size. I eat a balanced diet. I make saving for my future life. All these instances

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CONSTRUCTIVIST APPROACH AND MATHEMATICS         Constructivist approach means that all the knowledge is created from the basic previous knowledge and experiences of the students. The stress is on construction of knowledge by the students with their active participation and involvement in the teaching learning process. The teacher create situations for the students to act constructively. Constructivist approach develops critical thinking in the students and motivate them. The students are engaged in  inquiry, activities, imagination, discovery, hypothesizing solutions and reflection.   According to Audrey Gray, the characteristics of a constructivist classroom are as follows: the learners are actively involved the environment is democratic the activities are interactive and student-centered the teacher facilitates a process of learning in which students are encouraged to be responsible and autonomous.( http://ccti.colfinder.org/sites/default/files/constructivist_teaching_methods.pdf )  

PROPERTIES OF REAL NUMBERS www.mathguide.org/e-book MATHGUIDE E-BOOK AMAZON www.mathguide.org/e-book

TANGENT TO A CIRCLE www.mathguide.org/e-book.html MATHGUIDE E-BOOK AMAZON

www.mathguide.org/e-book MATHGUIDE E-BOOK AMAZON RATIONAL AND IRRATIONAL NUMBERS IN TERMS OF DECIMAL REPRESENTATION