Intermediate Algebra Assignment for 3/19

Our test on Unit 7 will be on Friday, March 22, so we’ll spend tomorrow and Thursday reviewing the Law of Sines, Law of Cosines, and related information ahead of this test.

Tonight, please finish HW 7.10.

Today’s links

Cumulative IXL Modules

Intermediate Algebra Assignment for 3/14

We did some more work with the Law of Cosines today, specifically looking at two cases where it is useful: when given two sides and a single angle between them (SAS) and when given three sides but no angles at all (SSS). Note that this second case is exactly what your poster will feature!

Today’s links

Cumulative IXL Modules

Intermediate Algebra Assignment for 3/13

As we’ve observed in class, in order to use the Law of Sines, you must know (or be able to find easily) an opposite angle-side pair in the triangle. But what if all you have is two sides and an angle? Is there anything we can do with that? Enter the Law of Cosines, a generalization of the Pythagorean Theorem to non-right triangles.

Also, don’t forget about your poster project, due next Tuesday!

Today’s links

Cumulative IXL Modules

Intermediate Algebra Assignment for 3/7

More practice with the Ambiguous Case today! Remember: triangles where two sides and a non-included angle are given could actually refer to two different triangles, one unique triangle, or no valid triangles at all.

Today’s links

  • Homework: HW 7.6 – More Solving Ambiguous Cases
  • Lesson Video – Note that part of the “ambiguity” of the ambiguous case is that the same “SSA” set of information could determine 2, 1, or no triangles at all. We’ll have some more time to practice this in class.

Cumulative IXL Modules

Intermediate Algebra Assignment for 3/4

Another interesting use of the sine function in non-right triangles is in calculating the area of the triangle. The formula is simple, requiring only two sides of the triangle and the included angle.

Today’s links

Cumulative IXL Modules

AP Statistics Assignment for 3/4

We finished our discussion of Chapter 20 today. For a poetic, metaphorical take on the content of the chapter, check out the The Story of Sad Sack (and its companion video here).

For answers to the celebrity mannequin example you got at the end of class, see here.

For homework tonight, please finish reading chapter 20 (pages 527-535) and then work on exercises 8, 11, 16, 29, 34

AP Statistics Assignment for 3/1

Chapter 20 is like an extended “What can go wrong?” section from the end of each other chapter in our textbook. In short, even though we might do everything correctly—choose an appropriately random and representative sample of our population, gather our data properly, analyze it accurately, and correctly conduct an appropriate hypothesis test—we might still be wrong. If you missed class (or would like a re-explanation on the rather tricky circumstances that these errors might happen), check out this video. For a slightly more metaphorical take on this subject, watch The Story of Sad Sack and its companion video here.

This weekend, read the first part of chapter 20, pages 516-526 (we will have a reading quiz about the Just Checking questions from this section), then do exercises 4, 5, 7, 13, 17

Intermediate Algebra Assignment for 2/28

We started Unit 7 today, a continuation of the study of trigonometry we introduced in Unit 6, but now for non-right triangles. There are a handful of important relationships to know in this field, the first of which is the Law of Sines.

Today’s links

Cumulative IXL Modules

Intermediate Algebra Assignment for 2/25

As you’ve no doubt figured out, the project we’ve been doing in class is a review of Right Triangle Trigonometry, a topic you studied in depth in Geometry. The first part of this week is a formal review of the vocabulary and questions that you saw last year.

Today’s Files

Cumulative IXL Modules

Intermediate Algebra Assignment for 2/4

The last topic from this unit is an introduction to the concept of logarithms, which is a pretty big part of the full Algebra 2 curriculum, but not one that has a lot of focus for us in Intermediate Algebra.

Today’s Links:

Cumulative IXL Review Modules (newly added modules are in bold)

Intermediate Algebra Assignment for 2/1

Today’s lesson was about solving equations when the variable is in the exponent. The trick is to get both sides of the equation to be in terms of the same base, which is why having a good familiarity with various powers of bases 2-10 is so useful (and why I’ve been quizzing you on these daily).

Today’s Files

Cumulative IXL Modules

Intermediate Algebra Assignment for 1/30

We expanded on the use of rational exponents today, this time in the context of using them to solve equations.

A reminder: because I want you to be able to work through this chapter without relying on the calculator, we will have a daily Powers Quiz. I will choose 10 powers from the table you made on HW 5.1 and ask you to evaluate them without using the calculator in a brief, timed quiz. We will do this every day through the unit, and only  your highest grade on any one quiz will be the one used in your Unit 5 grade.

Today’s Files

Cumulative IXL Modules

Intermediate Algebra Assignment for 1/29

More work with rational exponents today, including evaluating expressions that include them.

A reminder: because I want you to be able to work through this chapter without relying on the calculator, we will have a daily Powers Quiz. I will choose 10 powers from the table you made on HW 5.1 and ask you to evaluate them without using the calculator in a brief, timed quiz. We will do this every day through the unit, and only  your highest grade on any one quiz will be the one used in your Unit 5 grade.

Today’s Files

Cumulative IXL Modules

Intermediate Algebra Assignment for 1/15

We revisited solving quadratic equations today, now with the capability of evaluating negative radicands!

Today’s Files

Cumulative IXL Modules

Intermediate Algebra Assignment for 1/14, plus Test Warning

As we continue to explore the use of i to represent the square root of -1, and the consequences that such a definition involves, we revisited the topic of rationalizing today, and noted that since i is a square root, the rules of Simplest Radical Form require that we not leave i in the denominator of a fraction.

Our test on Unit 4 will be on Friday, January 18th. Please do not be absent on that day! If you know for some reason that you will be absent on that day, please arrange a time before the 18th to take the test! Otherwise, we will have to schedule a time for you to take the test during exam week.

Today’s Files

Cumulative IXL Modules

Intermediate Algebra Assignment for 1/11

More work with imaginary numbers today, in particular simplifying expressions that involve multiplying them or with higher powers. We saw in the videos we watched yesterday that powers of i don’t increase like other real numbers, but instead cycle through the numbers 1, i, -1, -i, and then back to 1 again.

Today’s Files

Cumulative IXL Modules

Intermediate Algebra Assignment for 1/10

We’ve started the second section of Unit 4, learning about complex and imaginary numbers. This is a new category of number, much like irrational or negative numbers, that mathematicians developed to handle equations that they previously had no ability to solve. We watched two videos to introduce this topic, but I recommend you watch the full story found here.

Today’s Files

Cumulative IXL Modules

Intermediate Algebra Assignment for 1/4, plus Quiz Warning

Still more work with simplifying radical expressions today, now with expressions that include variable components. The method of dealing with these terms, fortunately, is fairly straightforward.

We will have a quiz on our work in this unit so far on Tuesday, January 8th.

Today’s Files

Cumulative IXL Modules

Intermediate Algebra Assignment for 1/3

Radical expressions aren’t just for undoing powers of two, there are in fact roots for every conceivable power you might use as an exponent. Our lesson today was evaluating “n-th” (pronounced “ennth”) roots.

Today’s Files

Cumulative IXL Modules

Intermediate Algebra Assignment for 1/2

We expanded on the specifics of Simplest Radical Form today by adding the requirement that expression written in SRF have no radical expressions in their denominator. The process of tweaking expressions to accomplish this is called rationalizing.

Today’s Files

Cumulative IXL Modules