6th Grade
... has coordinates (7, 4). A parallelogram is drawn on the grid with vertices at (1, 1), (3, 4), (5, 4), and (3, 1). If the distance from (0, 0) to (1, 0) is 1 centimeter and the distance from (0, 0) to (0, 1) is 1 centimeter, what is the area of the parallelogram? ...
... has coordinates (7, 4). A parallelogram is drawn on the grid with vertices at (1, 1), (3, 4), (5, 4), and (3, 1). If the distance from (0, 0) to (1, 0) is 1 centimeter and the distance from (0, 0) to (0, 1) is 1 centimeter, what is the area of the parallelogram? ...
Revised Version 070430
... Starting from specific examples, it is possible to abstract a generalized formula for the summation of the first n natural numbers. As an alternate to directly dealing with the general case, consider two specific examples. There are two basic cases for the natural number n, namely n could be an even ...
... Starting from specific examples, it is possible to abstract a generalized formula for the summation of the first n natural numbers. As an alternate to directly dealing with the general case, consider two specific examples. There are two basic cases for the natural number n, namely n could be an even ...
Solving Linear Equations
... It’s obvious what the answer is. However, we need to start with the basics and work our way up because we need to make sure that we have GREAT fundamentals in math. In other words, we need to know WHY we do things other than “That’s what my teacher told me to do.” Why do we subtract the three? Next ...
... It’s obvious what the answer is. However, we need to start with the basics and work our way up because we need to make sure that we have GREAT fundamentals in math. In other words, we need to know WHY we do things other than “That’s what my teacher told me to do.” Why do we subtract the three? Next ...
natural numbers
... product of prime numbers, and there’s only one way to do so. (The order of the factors is unimportant.) We know that there’s more than one way to write 12 as a product: for example, we could write it as 12 = 2 x 6, or 12 = 3 x 4. But notice that some of those factors can also be written as products. ...
... product of prime numbers, and there’s only one way to do so. (The order of the factors is unimportant.) We know that there’s more than one way to write 12 as a product: for example, we could write it as 12 = 2 x 6, or 12 = 3 x 4. But notice that some of those factors can also be written as products. ...
Full text
... so that annexing 03 to any triangular number written in base 5 notation provides another triangular number whose subscript can be found by annexing 2 to the right of the original subscript in base 5 notation. Base 7 is demonstrated similarly from the identity ...
... so that annexing 03 to any triangular number written in base 5 notation provides another triangular number whose subscript can be found by annexing 2 to the right of the original subscript in base 5 notation. Base 7 is demonstrated similarly from the identity ...