elementary math activities

The table shows the maximum pulse rate for people of different age, during aerobic activities. Age (years) 20 30 40 50 Pulse rate (beats/min) 175 166 157 148 Choose the relation that best represents the table. => The pulse rate doubles with age. or The pulse rate decreases with age. or Th..

A surveyor asked a group of people about what they would like to do in their free time. The results are recorded in the table. Find the experimental probability of a person chosen at random being interested in reading magazines in his/her free time. Activity Number of people Shopping 26 W..

A child spends 1 2 of the day sleeping, 1 12 of the day eating, 1 6 of the day playing and the remaining 1 4 of the day doing other activities like bathing, etc. Order these fractions from the least to the greatest. => 1 12 < 1 6 < 1 2 < 1 4 or 1 12 < 1 6 < 1 4 < 1 2 or ..

The table shows the weight of a radioactive substance, which decreases by 1 2 every year. Find the weight of the radioactive substance in the 3 rd year. Time Weight of radio active substance Initial 3200 g 1 st year 1600 g 2 nd year 800 g 3 rd year -- 4 th year 200 g => 400 g or 1600 g or..

Applications - After the elementary study in probability, let us see how we can utilise this basic knowledge in solving problems of different are..

Mathematical Induction..

..

Let R i denotes the i t h row of the matrix A = [a i j ] then the elementary row operations on the matrix A are defined as: 3. R i g R i + kR j means multiply each element of j t h row by k and add it to the corresponding elements of i t h row. The corresponding column tra..

Limits- operations on functions Continuity of a function Intermediate value, extreme value theorem Derivatives, differentiability Derivatives of functions Chain rule Rolle's theorem, mean value theorem, and L'Hopital's rule Maxima, minima, inflection points, intervals Newton's method (app..

Through the activities suggested you will find that the angle bisectors, the perpendicular bisectors of sides, the altitudes and the medians of a triangle are concurrent. Now medians of a triangle are concurrent. Now we shall prove these properties by logical deductions. The point of con..