On Tuesdays I upload an update of what we did in math for the week.

RightStart Geometry:

Lesson 57 Squares on Right Triangles

Still building up to the Pythagorean Theorem, which Kid1 has heard of before (notably in the book Murderous Maths). The lesson is simple and to the point.

Lesson 58 proofs of the Pythagorean Theorem

Finally, geometry

*with*proofs. The lesson gives some history of the the Pythagorean Theorem (The Egyptians, the Chinese, and Hindu mathematicians knew about it before Pythagoras; James Garfield wrote a proof for it). The lesson also gives a brief explanation of what a proof is. I’ve been casually explaining this to her as we go along. Finally, the lesson highlights “You need to know” pointing to c squared equals a squared plus b squared.

The worksheets involve playing around with congruent figures, stating the theorem in your own words, and working through an informal proof.

Lesson 59 Finding Square Roots

Students learn the square root symbol, review simple square roots (like the square root of 25, say, or 64) and practice doing square roots on a calculator. Some lesson time is given to learning to use the calculator efficiently, something I was never taught to do, because of which I tend to avoid the Memory key. We do not own the calculator sold by the RightStart program; this isn’t a problem, since the directions are pretty generic.

Kid1 whips through this lesson

Lesson 60 More Right Angle Problems

Two pages of worksheets. The first takes over an hour, as I am not available for questions and she has to slowly figure things out on her own (By the way, she seems to have learned the skill of looking at the answer and then working backwards to figure out how she should have done the problem).

Most of the worksheet problems are practical story problems which involve a squared plus b squared equals c squared. One involves fitting skis into a trunk (later, at supper, we discuss that life is never that simple because a trunk isn’t actually a rectangle, and you always have a lip and the hinges to deal with; really, the best way to see if skis will fit in a trunk is to try to fit them in and see what happens). Another involves screen size of a television (although MrV points out that screen size is no longer such a big deal; what matters is whether they’ve put the speakers on the sides or on the top, thereby ruining your chances of ever fitting it onto the shelf).

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