Blog Log #2: What Dogs Teach Us

Read the article here.

I was originally interested by this article because it is on the subject of pets. I am pursuing veterinary medicine as a future career, so this is a subject that I enjoy reading about. I appreciated how the author took a darker subject, human issues, and revealed how to improve them through watching how other species act. I also enjoyed how the article was serious, but contained humorous parts. I agree with his perspective on life; humans judge other humans for their gender, race, religion, sexual orientation, and more. Dogs, however, judge others by their actions, and teach us to love. Sometimes, when I feel upset, I go hug my dog. She emits rays of happiness, and that happiness transfers to everyone she meets. I feel we can all learn from dogs to improve our lives.


Blog Log #1: Drama at the Grammys

Read the article here.


What originally drew me to this article was the title: Can the Grammys Please Anyone? It seemed contradictory at first, since the event is so popular. The article expresses how at this event, there is a fight for the representation of every group of people. I appreciated the author’s use of figurative language, such as the metaphor: “the show has become a piñata for critics, activists, and even major artists,” and the personification: “the Grammys still walk a tightrope.” What interested me in this article is how the described issue is universal. In 2019, all the different groups of people have one objective: representation. Every gender, race, religion, and sexual orientation is determined to be represented in today’s society. Often, the larger group of people overshadows the others, causing displeasure, as the article’s name implies. I hope for a future where every group of people is represented.

Week 17 – Precalc 11

This week in Precalculus 11, we learned about the Sine Law. It gives us a more efficient method to solving triangles without 90° angles. However, it can only be used if an angle, its opposite side length, and one other piece of information are given.

The Sine Law is commonly written in 2 forms. The first is used when solving for a side length, and the second is used when solving for an angle.


















When only given one angle using Sine Law, there could be 2 different triangles. Solve for an angle, and if it is less than 90°, find its quadrant II coterminal angle. Add this to the originally given angle, and if it is less than 180°, there are 2 possible triangles.

Week 15 – Precalc 11

This week in Precalculus 11, we learned about solving rational equations.

Rational equation: an equation containing rational expressions.

To solve a rational equation, we first identify non-permissible values. One way to solve a rational equation is to multiply each term by the lowest common denominator, then solve normally. Another is if 2 fractions are equal to eachother and have either the same numerators or same denominators, their numerators/denominators must also match. We then check for extraneous roots, or non-permissible values.


Week 14 – Precalc 11

This week in Precalculus 11, we started the Rational Expressions and Equations Unit. We first learned about equivalent rational expressions.

rational expression: a fraction with polynomials in the numerator & denominator

non-permissable value: variable values making the denominator 0

To determine the non-permissable values, we equate the denominator to 0 and solve the equation.









To simplify a rational expression, we first factor the numerator and denominator. We then identify the non-permissable values. Last, we cancel out identical pairs of numerators and denominators.


Week 13 – Precalc 11

This week in Precalculus 11, we learned about graphing reciprocals of linear functions.

reciprocal: numerator and denominator are switched

linear function: an equation in 2 variables with degree 1

asymptote: barrier lines of a graph

To graph the reciprocal of a linear function, we first graph its parent function. We then find the points on the graph where y = 1 and y = -1, and the vertical and horizontal asymptotes. In most cases, the horizontal asymptote is y = 0. The vertical asymptote is the x-intercept. We then use these points to draw a 2-part graph known as a hyperbola. The asymptotes act as barriers.





Week 12 – Precalc 11

This week in Precalculus 11, we started the Absolute Value and Reciprocal Functions unit. We first learned about absolute value functions.

Absolute value function: y = |f(x)|

Critical points: an absolute value function’s x-intercepts

An absolute value function’s graph changes direction at the critical points. To graph an absolute value function, we first graph its equivalent normal function [y = f(x)]. Any points below the x-axis are reflected along the x-axis, since absolute values are only positive.


















An absolute value function can be written in piecewise notation. To do so, we write one function in which the absolute value expression is positive or 0, and one function in which the absolute value expression is negative. We then state when this occurs, using </>/≥/≤ and the critical point.