Statistics!

Today we began our study of statistics with a review of dot plots, histograms, and box and whisker plots.

Please complete the Problem Set from Lesson 2 tonight for homework, focusing on the differences between Median and Mean.

More Completing the Square

First of all, I want to make something VERY, VERY clear.  You do not always need to use completing the square when solving a quadratic equation.  If you can factor it, that is A LOT easier.  If you can solve it with square roots, that is also A LOT easier.

Completing The Square is something you should only use when no other options are available.

Think about that when solving problems 28 – 33 on page 674.  (Even though these problems are from the next section, all of them can be solved using one of the methods mentioned above.)

Then go back to page 667 and solve problems 28, 30, 33, 36, and 37 using completing the square.

Graphs and Tables of Quadratics:

Today in class, Kyle reminded us of an important lesson:  The shape of a graph is not necessarily the path of the object.

Then Bibi, Kevin, and Ari showed us how to identify key features of parabolas in a table.

Please complete the entire problem set tonight for homework, beginning on page S59.

Projectile Motion!

Today in class we began to study how we can use everything we know about parabolas and extend it into a real world study of Projectile Motion.

A projectile (by definition) can not create its own lift or thrust.

If I throw a marker, the marker becomes a projectile.

If I throw a paper airplane, it is not a projectile.

Please complete and analyze #2 from the Problem Set tonight for homework.

Class will meet for 20 minutes tomorrow.

Graphing Parabolas in Factored Form:

Please return your signed permission slip to school on Monday.  If you need to print another copy, click on the Parent Release Letter.

Engage NY writes the literal equation of parabolas in factored form as:

f(x) = a(x – m)(x – n)

The notation really doesn’t matter, as long as you understand the importance of each part of the equation:  a, m, and n.

Whenever you complete a graph, always label the key features.  This includes:  the y-intercept, x-intercept(s), and axis of symmetry.

Please complete Number 1 on the Problem Set on page S54.  You should bring 5 graphs to school on Monday for parts a through e.