When your words keep getting construed by others to mean things that you don't mean them to say, it might be worthwhile to figure out why that might be so. Words and phrasing affect kids a lot more than we realize. There are things my parents said to me that (as an adult) I can look back and see what they meant, but as a child really had a negative affect on me.

Budget Bytes, and they've got lots of recipes for free on their blog.

The problem is that this can very easily come across as discouraging on your part. To you, it's encouragement to do better. To a teen, it's easy for it to be "Well, my minor success apparently wasn't good enough."

It certainly isn't the only cause. But there are studies in mice indicating that it's highly likely to be *a* cause. A complex, multifaceted problem like this will not have a single cause. Also, I'm not sure how familiar you are with epigenetics vs. genetics (so forgive me if I'm explaining what you already know) but it's not actually the genes changing, but rather the expression of the genes changing. In this case, it's the parents' diet influencing the expression of the offspring's genes. Here's a really interesting study about this in mice: https://www.the-scientist.com/?articles.view/articleNo/45558/title/Obesity--Diabetes--and-Epigenetic-Inheritance/

Oh man. And I feel guilty if I don't have them back the next class period.

Number Theory/Counting and Probability will have the most overlap.

It wouldn't be equivalent to the class sparkly is taking ("The course doesn't delve into the mathematical logic and proofs of Discrete Mathematics, but focuses more on practical problem solving with real world examples.") however, having prior familiarity with the material would help a lot with the logic and proofs part of the class -- it's a lot easier to prove something if you're convinced it's true yourself.

Book of African folk tales (disclosure alert: written by a friend of my family, who is from Ghana) https://www.amazon.com/dp/B00DVUKY0W/_encoding=UTF8?coliid=I3F5O0I3R4IV39&colid=ACM278HXZAUY&psc=0

Heck, that looks like not only averted, but a win in the long run! More coffee ... for only the cost of the grinder, and now you have a grinder :)

This is very close to the recipe I used (for the custard and assembly, I made my own cake using my favorite recipe -- I also used homemade eggnog -- as a matter of fact, this started as a "use up the rest of the eggnog" recipe) -- https://www.harmonsgrocery.com/recipes/ginger-bread--eggnog-custard-trifle However, there are also a lot of recipes out there that use eggnog and vanilla instant pudding if you didn't want the pain of making a traditional custard. I've added one to add options for you. https://www.the-girl-who-ate-everything.com/2010/12/eggnog-gingerbread-trifle.html

Some sort of gingerbread cake with a lemon glaze or cream cheese frosting? Looks really elegant in a bundt pan, or really festive if you have a Christmas tree pan. Can add sprinkles if desired to make it a bit more obviously seasonal. If you don't have a special pan, a sheet cake with white frosting and seasonal sprinkles is super pretty, or if you have a little more energy use white frosting and green frosting to freehand a christmas tree (about the easiest shape to make, triangle + a trunk in green is usually "hey look tree!" Christmas brownies? Top with a cream cheese frosting and red/white sprinkles. Or if chocolate doesn't float your boat, Christmas butterscotch brownies. Or for a little more work -- gingerbread and eggnog trifle sounds absolutely amazing. Again, a little more work, but gingersnap-crusted cheesecake (cranberry/orange sauce would be nicely seasonal) makes my mouth happy. I've heard of people doing something similar with a chocolate-crusted cheesecake (oreos, I think?) if gingersnaps don't float your boat. If any of these sound good and you need a (relatively) easy, favorite recipe, lmk and I'll look one up -- just don't want to type them all in if it's not something you'd like anyway. Edit: Also, if you're open to cookies, I have a really great just about foolproof soft molasses/gingersnap (the difference is how big you roll them and how long you bake them) recipe.

I just got a large box fan and faced it to the wall.

I loved discrete math. It was one of my favorite classes and the reason I changed my major to mathematics. It was the logic and proof that kicked the rears of many students. It covers such a variety of stuff that it's hard to say anything specific to review. I'd probably just make sure chapter 1 was familiar and go ahead and start on chapter 2. Make sure the examples make sense, see if you can write them down, close the book, and work them yourself the next day, that sort of thing.

College algebra is the algebra part of a precalculus class. At a university it's still usually taught over two semesters (college algebra/precalc or college algebra/trig or sometimes other variations) and the students with strong algebra skills can move directly into the second semester. It's also something that (if you know the material) is very easy to place out of -- no university wants to stick someone in college algebra who actually knows enough to be in calculus, so you don't have to worry about that one, assuming he learns his algebra. They'll usually do placement by a placement test/sat score/act score/high school grades/some combination of the above. Calculus isn't covered on the placement test but can usually be tested out of by AP, sometimes CLEP, and sometimes departmental examination (although I wouldn't rely on that unless there was a definite destination university that definitely did that). DE is also an option. But by the time calculus rolls around, you'll be a pro at this (after several more years of observing) and much better able to make a choice then.

I actually think it's really good to get this out of the way now. So many young students go off to college (where they don't have mom overseeing grades) and bomb everything. He's got one bad class -- and now he knows what happens.

Parts of it are free although there's a premium version. Can check it out at least.

Useful? Idk. But it's fun. The challenging problems make me think sometimes. It's unorthodox ways of attacking a problem.

We've noticed the same thing happening -- especially with math. The people who have a C in the prerequisite and "hate math" are the most likely to sign up for online math class. Our failure rates there are absolutely horrendous -- and they get lumped in with all the other sections. So we're currently getting flak from admin because of the massive failure rates in x math class, which are tremendously influenced by the massive failure rates of the online sections -- and yet we can't just not offer it online, because admin is very proud of their "complete a degree with distance learning". (although we are looking at only offering it in summer so that at least people can't try to do it when they have a full load of other classes).

Absolutely move on. You mention college, and you're going to want solid-looking classes for the rest of high school. Most of science before algebra is not really about prerequisites for the next level, but about (ideally) cultivating a spirit of inquiry and an idea of the scientific method. Frankly (imo) as long as those are done, science could be altogether omitted before then without loss. (that doesn't mean I think that you shouldn't do it -- science is FUN -- just that your boys will be fine).

For a 6th grader completing algebra I'd test AOPS with counting and probability or number theory. Both of them are great areas of math that are not in most standard curricula. If he hates the approach, they are also semester classes instead of full-year classes (if he takes the class) or if he hates the book, they are off the beaten track so that it's not like starting off badly in geometry. Also, they are FUN.

I still remember when I took DiffEq. It had been several years since my last calculus class (I dropped out) and the series solutions of differential equations absolutely murdered me because I had forgotten absolutely everything about series.

Oh jeeze. As long as you aren't signing it "from all of we" I think you're good.

If I were marking it for a test, I would take off at most 20% of the points for forgetting units. I do not believe that marking it completely wrong gives an accurate assessment of the level of knowledge of the material on the test. If I were marking it for "redo the ones you got wrong completely", I would mark it wrong.

Try getting bags of frozen veg so you can pop them into the steamer/roaster/microwave. How about cauliflower, cooked, with chili powder? Roasted green beans, too. I do mashed carrots, too. Like mashed potatoes, but without added fat. Protein powder or skim -- they still get nice and creamy. I like to add hot Indian spices to those. I do tomato + cabbage soup, too. Cooked shredded red cabbage + apples is another good one. I tend to go for what's cheap but there are other good roasted ones, like asparagus, if you spend a bit more.

Kassia, do you hate all veggies or just raw ones? I loathe almost all raw vegetables (I'll sorta kinda tolerate carrot sticks when I've got the munchies) but I can eat cooked ones just fine, and a vegetable soup is what I have a lot when I've got the munchies at home and want VOLUME.