Friday 28 September 2012

7th Grade Math

 In the previous post we have discussed about Free word problem solver and In today's session we are going to discuss about 7th Grade Math.

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7th grade math consists of many vital concepts that would be needed to solve higher grade math problems. Let us discuss the 7th grade math as follows:
1. Starting is done with a very basic conceptual understanding of numbers and mathematical operations. Numbers like rational numbers, the roots of perfect square, ratios and proportions, problems on percentages like profit – loss & discounts etc.
2. Learning the decimal numbers, conversion from fractions to decimals and vice – versa, comparison between different types of numbers etc.
3. Understanding scientific representation of numbers, problems involving surds & radicals, functions like absolute value, and also the idea of real numbers.
4. Operations that we learn are like addition, subtraction, multiplication and division of integers, fractions, decimals etc. Solving exponents, logarithms and properties related to them.
5. Learning the characteristics of numbers and using them in solving the maths problems related to algebra.
6. Next comes the geometrical maths which involves the understanding of the characteristics of angles and different shapes. Angles can be categorized as: Adjacent, Vertical, Linear, Complementary, Supplementary or Corresponding angles. Shapes or figures we learn like circles, lines, planes, polygons etc.
7. We learn to sketch the graphs of different figures on basis of their equations. Solving their equations and finding various parameters related to them. Understanding the behaviour of various functions (whether increasing, decreasing, inflection point, critical points etc.)
8. Learning the congruencies of triangles and solving the problems using different corollaries and well – defined theorems.
Let's see how to convert a decimal to a fraction?
A decimal has place values starting from tens place value. We remove the decimal and put number of zeros in front of one in the denominator according to the place values and then solve for the fraction. These concepts are detailed in iit sample papers.

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