Equivalent fractions introduction

The first instance of  is under the 4th Grade Math Mission. This exercise uses a visual model and the concept of part out of whole to better understand fractions that represent the same amount.

Types of Problems
There re four types of problems in this exercise:


 * 1) How to get same: This problems describes a little story where someone needs to get the same amount as another person using different denominations. The student answers the number of pieces the person will have to use to get the same amount.Visef1.png
 * 2) Fraction shaded: This problem has a rectangle cut into several congruent pieces. The student is asked to determine what fraction of the rectangle is filled in with slanted lines.Visef2.png
 * 3) Count the blocks: This problem has two strips cut into different denominations. The student is asked how many blocks from the second strip are needed to make the shaded region from the first strip.Visef3.png
 * 4) Same amount: This problem has an initial amount of a rectangular strip shaded. The student is asked to select which of the other strips has the same amount shaded as the first strip.Visef4.png

Strategies
This exercise is easy to get accuracy badges because the size of the parts of the fraction are not too large, making it easy to count and work with. The speed badges are also easy because there is a fast turnover rate of problems.


 * 1) Fractions, when they are the answer, do not need to be reduced.
 * 2) On Count the blocks and Same amount it is much faster to answer them geometrically by looking at size than to actually count.
 * 3) On Count the blocks if you can quickly find out how many subdivisions are in one block, you can use that to multiply to the whole.
 * 4) I don't want to give away too much, and this can change if they want, but a lot of the answers to How to get same are the same number. See if you can find out what it is!