If you haven't worked in public schools you can have an unrealistic idea of what grade levels are. A sixth grader, for instance, is not at a level well defined by test scores or state lists of curriculum items. Any one sixth grade class has children who test from second grade or lower to tenth grade or even higher.
A grade level score of 6.1 means that a child scores like the average of children in grade 6 month 1. Half of children are above that average and half below. Thus there is lots of overlap in every grade.
If your child scores 6.1 does that mean you should put him in sixth grade? Not necessarily. If he is 10 years old you may prefer fifth grade with his age mates where he will be in the upper half of the class instead of in sixth where he will be exactly the middle. The school does not move everybody up when they score sixth grade.
If your child can read the textbooks in a grade, he will do okay in that grade even if he did not happen to learn the history or geography facts that the class was supposed to learn last year. Only in arithmetic do the skills pile up in difficulty. So he will have trouble in sixth grade if he missed fractions and other fifth grade topics. You and your child can look at the books and decide for yourselves whether he could do the work. You can do the same for reading other textbooks. If the child stumbles on 2 or fewer words in a 100-word section, that shows he can read that book independently. Missing 3 to 5 words means he can be instructed from that book, and more than 5 is frustration level.
Nothing highly scientific in this. It's just common sense.
--Ruth
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1) Most things in this blog are compiled through articles and information I've found on the web. I have linked to the location where I originally found the information in each post.
2) I am not an employee of TOS. I am a volunteer coordinator helping to keep Quebec informed.