Polynomials

This week the students took their test on right triangles and radicals. Overall the students were very successful on this test. They received their test back on Thursday and have until next Monday (May 9th) to complete test corrections if they choose. I recommend that each student who earned lower than a C complete the test corrections. We then started our unit on polynomials. The students discussed how to add and subtract polynomials and multiply and divide when one of the polynomials is a monomial. Next week, the students are going to be taking their final Galileo benchmark test and continuing the polynomial unit. They will be discussing how to multiply and divide all polynomials, not just monomials.

 

Challenge Problem Answers:

HW #106 – #16) -19; #17) Start with 5, multiply by x, subtract 2, multiply by x, add 4, multiply by x, add 7, multiply by x, subtract 9

HW #107 – #18) 3y^2-9y-4; #19) p-9p-1; #20) –z^2-2z+4

HW #108 – #25) -125a^21; #26) [81b^8]/16

 

Wall Challenge Problem Answers:

No Wall Challenge Answers this week as we are keeping the three problems up for next week.

The Last Battle

This week we finish The Last Battle, explore its themes, and review essay writing.  Students will have the opportunity to work on essays both as classwork and homework.  The Last Battle test will be Monday, May 2nd.

We will begin Julius Caesar next week – please be sure your student has the text.

Finishing the Imperfect

In Latin I, over the past couple of weeks we have been starting to learn the imperfect tense and work with it in translation. Students now three ways in which to translate an imperfect verb. For instance, the word ambulabamus can be translated as “we were walking”, “we used to walk” or “we kept on walking”. Last week, they were quizzed on how to conjugate and translate these forms.

This week we will continue with these types of lessons, now including the irregular imperfect conjugations of sum (to be) and possum (to be able). Students will be quizzed on these irregular forms on Thursday. Throughout the week we will also be translating a passage of Latin from Chapter 11 of the textbook, an adaptation from the Aeneid about Dido, queen of Carthage.

Augustus Caesar

Be advised: the students have their chapter test this coming Tuesday, April 26.

Gaius Octavius (63 BC-14 AD), better known to posterity as Augustus Caesar or simply Augustus, had learned from the mistakes of his adopted father Julius Caesar. He knew that to move too quickly, too abruptly, and too radically in the direction of autocracy would result in his own death—perhaps, like Caesar, in a pool of his own blood. Following the defeat of Mark Antony and Cleopatra at Actium in 31 BC, he directed his energies at slowly consolidating his own power and working within the contours of what remained of the Republican system. The Senate could not be brazenly marginalized. If he were to be in effect dictator perpetuo, dictator for life, he could never claim such a title for himself.

Free-body diagrams this week in Physical Science (test on Friday!)

This week in Physical Science we will introduce the concept of free-body diagrams, an absolutely critical concept in the study of the forces acting on a system and how they will affect its motion. With the upcoming test on Friday, this week will be more focused on polishing the concepts of Newton’s Laws and forces already introduced; Thursday will be solely dedicated to answering students’ questions about the test the following day.

The following extra-credit question will appear on the test:

What are the three types of adult bees in Mr. Willco’s hives?

Students are of course welcome to study together if it will benefit their understanding of the material, but I ask that they not share this question with each other; they may absolutely share with their classmates that an extra-credit question is posted on the blog, but I want students to look up the information themselves.

Right Triangles and Intro to Polynomials

This week the students finished up the unit on right triangles and radicals and started reviewing for their test on Monday, April 25. Please remind your student to study over this weekend and review the trigonometric and special right triangle ratios. Next week, we are going start our unit on polynomials. We will be discussing what makes an expression a polynomial and use the basic operations (addition, subtraction, multiplication, and division) with polynomials.

 

Challenge Problem Answers:

HW #102 – #10) x = 6.2

 

Wall Challenge Problem Answers:

Problem #23 – The Game of 24 (2, 5, 6, 8)

Problem # 23 Solutions – (2*5)+6+8; (5*6)-8+2; (6-5+2)*8; [(8-2)*5]-6

 

Problem #24 – The Game of 24 (2, 4, 11, 11)

Problem #24 Solutions – 11+11+4-2; 4/2+11+11

 

Problem #25 – Divisibility by 10

Problem #25 Solution – It is not true.

Getting Close

The concert is right around the corner! The students have a total of four pieces to memorize, and they are almost finished learning all four. Playing quizzes this quarter are from memory and performed alone. If they score below a 70 there will be a spot for a parent signature. One common problem is that they will forget the piece under the pressure of performing in front of their peers. Ask your child to perform their pieces for you. This will help them become comfortable when performing.

Concert reviews are due soon so please start to plan your trip to a concert.

Spring Concert—Wednesday, May 4, 2016 at 6:30

Concert Review—Due by Friday, May 6

The Last Battle

We finish The Last Battle this week.  Students will spend time reading in class and each night for homework.  The following week students will work on essays and then we move on to Julius Caesar.  Please be sure to have your student bring his/her copy to school in order to prepare for this next text.

Forces this week in Physical Science

This week in Physical Science we will be continuing our discussion of forces, including Newton’s Laws applications and free-body diagrams. A good understanding of forces is critical in the fields of physics and engineering, and consequently we will spend a significant amount of class time discussing the concept.

Owing to a delay in the delivery of critical components necessary for our velocity lab, it had to be delayed from last week till tomorrow; students will be analyzing the motion of and forces acting on battery operated motion buggies.

For 5 points of extra credit, students can answer the following question (due tomorrow, April 18th):

Mr. Willco has a mass of about 67 kg. What is the gravitational force (in N) acting on him if he were standing on the surface of Mars?

SPQR

Senatus Populusque Romanus. The Senate and the Roman People. The Latin motto was meant to designate the symbiotic relationship between the Senate (or more broadly, the conservative aristocratic elite) and the Roman people—the dual sources of institutional power—working together toward the greater good of the Roman Republic. But in the final years of the Republic, this symbiotic relationship broke down into mutual antagonism. Following the failed efforts for land reform legislation of the brothers Tiberius and Gaius Gracchus (133-121 BC), the Republic became divided into two political factions—the optimates, who favored the senatorial aristocracy, and the populares, who favored the masses—that would ultimately lead its demise and transition into the Empire.