God’s Grace & The Pythagorean Theorem

Triangles #blocks #toys #primarycolors

One of our new writers, Carlie, wrote in her introduction to the other writers of The Homeschool Post:

God’s grace is sufficient.

It got me thinking about a math term and how we can use God’s grace to teach a little math.

We have a phrase called necessary and sufficient in math that means basically not only does THIS always give THAT, but also THAT always gives THIS!

That definition is a little unpolished, but for our purposes it’s, well, sufficient. ;o

The Pythagorean Theorem is a necessary and sufficient math thing.

The Pythagorean theorem says this:

The lengths of the three sides of a right triangle will combine in this fancy way: (length of one short side times itself) plus (length of the other short side times itself) equals (the length of the long side times itself).

But that’s not all. The Pythagorean theorem also says that:

If you have three numbers that combine in this fancy way: (one of the smaller numbers times itself) plus (the other smaller number times itself) equals (the bigger number times itself) – Then those three numbers will always make a right triangle!

In math, we say that the fancy formula (a2 + b2 = c2, for short) is necessary and sufficient for the lengths of the sides of a right triangle.

What’s this got to do with God’s grace?

Well, as Carlie said, “God’s grace is sufficient.”

But it’s also necessary.

God’s grace is necessary and sufficient for our lives.

And that’s math!

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  1. sara says

    Thought provoking – will be pondering this. Love all connections between God’s beauty and math – but am finding something new with the idea of math and God’s sufficiency.

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