We began performing operations on polynomials by adding and subtracting. We both combined like terms and aligned our polynomials vertically to add and subtract.
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In this lesson, we covered some important definitions and classified polynomials, and then combined like terms with polynomials. This sets up well to do operations on polynomials.
This first lesson of Algebra 1 looked at how to simplify expressions. It was a gentle introduction to the concepts of polynomials that we will move on to as the week goes on...
Here we looked at the advantages of 'cutting corners' and taking the diagonal road, as well as geometric applications of the Pythagorean Theorem.
Students worked independently and in groups to see that you can use the Pythagorean Theorem to calculate the distance between two points on a coordinate plane.
This lesson involved proving that a triangle was indeed a right triangle by using the Pythagorean Theorem.
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!
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 considered the differences between rational and irrational numbers. We also spent time converting fractions to finite decimals.
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May 2015
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