# Intermediate Algebra Assignment for 1/15

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

# 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.

# 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.

# Intermediate Algebra Assignment for 1/7

First, a reminder of the homework protocol.

• Homework is assigned every day and due the following day. Homework is assigned every day and due the following day.
• Late assignments will be accepted ONE day late for half-credit.
• If you are ABSENT FROM CLASS, you are expected to turn in the assignment you would have submitted on that day on the day that you return. You will be given one additional day per day of absence to turn in the assignments you missed.
• For example: Goofus is present on Monday and absent on Tuesday. On Wednesday, he must turn in Monday’s homework, and he has until Thursday to turn in Tuesday’s assignment. He gets no extra time on Wednesday’s assignment; that is due Thursday also.
• If you are having difficulty with an assignment, it is your responsibility to arrange extra help. We usually have time to discuss one or two topics in class, but if that’s not enough please come and see me!
• New for 2019: Any student who has 3 or more unexcused missing assignments will be assigned a lunch or after school detention to make up the missing work. This work will or will not be accepted for credit based on my discretion!

Your quiz on the first part of Unit 4, all about rewriting radical expressions in Simplest Radical Form, is tomorrow. We made a study guide today, linked below, and got a review sheet that will be collected for homework tomorrow. The solutions are posted below as well.

# 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.

# 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.

# 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.

# Intermediate Algebra Assignment for 12/19

We have started Unit 4, a unit working extensively with radical expressions. We can treat these expressions as a class of numbers in their own way, with their own “rules” for adding, subtracting, multiplying, and dividing them. Today we started with adding/subtracting.

# Intermediate Algebra Assignment for 12/13, plus Test Warning

The last bit of new material for this unit takes us back to the connection between the roots/solutions of a quadratic and the x-intercepts of its graph. This relationship exists even with polynomials of higher degrees, which means we can use that relationship to factor using its roots! We introduced two tasks today:

• Using the known roots of a polynomial to write the polynomial, and
• Using the graphing calculator to find the zeroes, and by extension the factors, of the polynomial.

These are the last two new items, in addition to everything else you’ve learned this unit, that will appear on your Unit 3 test on Tuesday, December 18.

# Intermediate Algebra Assignment for 12/12

We reviewed the key features of parabolas today, but this time from an algebraic perspective. We’ve already seen that the roots of the parabola (aka the x-intercepts or the zeroes) are the solutions we get from the quadratic equation. We saw today that the equation for the Axis of Symmetry can be obtained from the standard form of a quadratic equation using the formula x = –b/(2a). And since the vertex is on the axis of symmetry, the x-coordinate of the vertex is that same value (and the y-value is obtained by plugging that x-value into the equation).

# Intermediate Algebra Assignment for 12/10

We took a moment today to pause and look back on the three methods of solving quadratic equations that we have discussed: factoring, the quadratic formula, and the square root method. We discussed when each method might be most efficient, but reinforced that point that the quadratic formula is always a valid solution method.

# Intermediate Algebra Assignment for 12/7

The third method of solving quadratics is to simply use the square root, but there’s a danger here: you still have two solutions. The + is built into the quadratic formula, but it still needs to be added here. And that falls to you, the solver!

Today’s lesson also included a brief revisit to word problems, this time resulting in a quadratic equation.

# Intermediate Algebra Assignment for 12/5

We did some more work with the quadratic formula today, specifically with simplifying the radical expressions we sometimes get when we apply it.

# Intermediate Algebra Assignment for 12/3

More work with solving quadratic equations today, this time with equations that did not factor. Our solution? The quadratic formula.

# Intermediate Algebra Assignment for 11/30

Part 1 of the unit was on graphing quadratic functions and identifying the key features of the parabolas we create. Part 2 is more algebraic, focused on solving quadratic equations by hand (and eventually finding those key features without the graph). Today was a review of factoring and how that method of algebraic manipulation allows us to solve these equations.

# Intermediate Algebra Assignment for 11/27

We did some work with our graphing calculators today, using them to find the vertex, x-intercepts, and line of symmetry for parabolas.

# Intermediate Algebra Assignment for 11/26

I met with many of you in class today to discuss your first marking period grade and what you should do in the 2nd marking period to either improve or continue the good work you’ve been doing.

Your homework is on IXL. Your assignment is as follows:

Use your graphing calculator or Desmos.com/calculator to make graphs. If you exceed the minimum requirements of this assignment, your work will be recorded as extra credit.