"By "reasonable doubt" is intended not a fanciful or ingenious doubt or conjecture, but an honest, conscientious doubt suggested by the material evidence or lack of it in the case. it is an honest misgiving generated by insufficiency of proof of guilt. "Proof beyond a reasonable doubt" means proof to an evidentiary certainty, although not necessarily to an absolute or mathematical certainty. The proof must be such as to exclude not every hypothesis or possibility of innocence, but every fair and rational hypothesis except that of guilt. The rule as to reasonable doubt extends to every element of the offenses, although each particular fact advanced by the prosecution, which does not amount to an element, need not be established beyond a reasonable doubt. However, if, on the whole evidence, you are satisfied beyond a reasonable doubt of the truth of each and every element, then you should find the accused guilty."
I have also always felt that the circumstantial evidence instruction was very illuminating and read that to her as well ...
"Evidence may be direct or circumstantial. Direct evidence is evidence which tends directly to prove or disprove a fact in issue. If a fact in issue was whether it rained during the evening, testimony by a witness that he or she saw it rain would be direct evidence that it rained. On the other hand, circumstantial evidence is evidence which tends to prove some other fact from which, either alone or together with some other facts or circumstances, you may reasonably infer the existence or nonexistence of a fact in issue. If there was evidence that the street was wet in the morning, that would be circumstantial evidence from which might reasonably infer that it rained during the night in the absence of any intervening circumstance or fact. There is no general rule for determining or comparing the weight to be given to direct or circumstantial evidence. You should give all the evidence the weight and value you believe it deserves."
Excellent.