Students got a quick refresher on a proof of the Pythagorean Theorem from a few modules ago, and then we learned two new proofs--one involving similar triangles, and the other involving area of squares. It was an intense lesson not for the feint of heart. Your students did a great job!
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In another highly technical lesson, we looked at a method called rational approximation to squeeze irrational numbers to round to the nearest hundredth. Calculators could have gotten heavy use during this lesson, though many students opted to forgo using them.
This lesson was very technical--we took repeating decimals and converted them to fractions using algebra. This required careful attention to detail and students were very receptive to learning a new technique.
This lesson considered the differences between rational and irrational numbers. We also spent time converting fractions to finite decimals.
In this lesson, we solved equations involving square roots and cube roots. These were simple equations that isolated the variable raised to the power.
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