The Right Triangle Review assigned yesterday is due tomorrow. You will have time in class to finish your poster tomorrow as well.

# Category Archives: Intermediate Algebra

# Intermediate Algebra Assignment for 2/13

We have started the final phase of our miniature golf project: designing our own golf holes.

Your homework, due Friday, is this Right Triangle Side Ratio Practice sheet. You’re asked to find the missing angles and side lengths of various triangles, using the techniques we discussed in class. Use the Side Ratio Reference Sheet, as well as this video you watched as a part of Phase 3 as a guideline for your work here!

**If you missed class today…**

Watch the following eMathInstruction videos and take appropriate notes. Note sheets can be found on this page (and yes, some of these notes pages may look familiar).

- Video 1 – Reintroduction to Right Triangle Trigonometry (you can skip this if you remember sine/cosine/tangent from Geometry)
- Video 2 – Finding Missing Sides of a Right Triangle
- Video 3 – Trigonometric Applications

After watching these videos, you have a choice:

- Complete the corresponding homework assignment sheets that correspond to these lessons from Kirk Weiler’s eMathInstruction website (Lessons 4 and 5), or
- Complete the following IXL modules up to a score of at least 80

# Intermediate Algebra Assignment for 2/7

We had our quiz on Unit 5 in class, and so your homework is the usual two-sided Math Riddle sheet, this one about the Pythagorean Theorem. Do one side (your choice!) for homework. Do both sides for extra credit on the quiz.

# Intermediate Algebra Assignment for 2/6

Your quiz on Unit 5, the final assessment of the unit, will be **tomorrow**. Work on the Unit 5 review you got in class, work on some additional IXL review modules, and review the lesson videos posted below.

## Today’s Files

- HW 5.7 – Unit 5 Quiz Review
- Quiz Review Solutions
- Video Archive
- Review of existing exponent shortcuts (From Algebra 1)
- Negative exponents
- Evaluating rational exponents
- Solving radical equations (you can stop at the 5:00 mark, as the examples after that point are beyond what we will do in this class)
- Solving for variable in exponent using base equality
- Evaluating logarithms

## Cumulative IXL Modules

- L.13 – Solve radical equations
- M.5 Simplify expressions involving rational exponents I
- M.6 Simplify expressions involving rational exponents II
- R.1 – Convert between exponential and logarithmic form: rational bases
- R.4 – Evaluate logarithms – assigned 2/5 to a score of at least 80
- S.4 – Solve exponential equations using equal bases – assigned 2/5 to a score of at least 80

# Intermediate Algebra Assignment for 2/5

Our quiz on Unit 5 will be on **Thursday, February 7**. Your last Powers Quiz opportunity will be tomorrow.

We spent today working on IXL review. Of the modules linked below, your assignment is to work on M.1, R.4, and S.4, all to a score of at least an 80. Remember that any score beyond 80 will count as extra credit in your homework grade!

## Today’s Files

- Video Archive
- Review of existing exponent shortcuts (From Algebra 1)
- Negative exponents
- Evaluating rational exponents
- Solving radical equations (you can stop at the 5:00 mark, as the examples after that point are beyond what we will do in this class)
- Solving for variable in exponent using base equality
- Evaluating logarithms

## Cumulative IXL Modules

- L.13 – Solve radical equations
- M.5 Simplify expressions involving rational exponents I
- M.6 Simplify expressions involving rational exponents II
- R.1 – Convert between exponential and logarithmic form: rational bases
- R.4 – Evaluate logarithms – assigned 2/5 to a score of at least 80
- S.4 – Solve exponential equations using equal bases – assigned 2/5 to a score of at least 80

# 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:**

- HW 5.5 – Evaluating Logarithms
- Copy of notes
- Lesson video – Evaluating logarithms

**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

- HW 5.4 – Solving Equations Using Base Equality
- Notes
- Video Archive
- Review of existing exponent shortcuts (From Algebra 1)
- Negative exponents
- Evaluating rational exponents
- Solving radical equations (you can stop at the 5:00 mark, as the examples after that point are beyond what we will do in this class)
- Solving for variable in exponent using base equality

## Cumulative IXL Modules

- L.13 Solve radical equations
- M.1 Evaluate rational exponents
- M.2 Multiplication with rational exponents
- M.3 Division with rational exponents
- M.4 Power rule
- M.5 Simplify expressions involving rational exponents I
- M.6 Simplify expressions involving rational exponents II
**S.4 Solve exponential equations using factoring**

# 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

- HW 5.3 – Solving Equations with Exponents and Roots
- Notes
- Video Archive
- Review of existing exponent shortcuts (From Algebra 1)
- Negative exponents
- Evaluating rational exponents

## 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

- HW 5.2 – Evaluating Rational Exponents
- Notes
- Video Archive

## Cumulative IXL Modules

# Intermediate Algebra Assignment for 1/28

We’ve started a new unit, this one on rules of exponents. Today was a review of pre-existing shortcuts, along with an introduction of some new ones.

Finally, 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 powers reference sheet you make in today’s homework. I will ask you to evaluate them **without using the calculator** in a brief, timed quiz. We will do this **every day** through the rest of the unit, and only your **highest grade** on any one quiz will be the one used in your Unit 5 grade.

## Today’s Files

- HW 5.1 – Review of Exponent Shortcuts
- Notes
- Video Archive
- Review of existing exponent shortcuts (From Algebra 1)
- Negative Exponents
- Rational Exponents

## Cumulative IXL Modules

# Intermediate Algebra Assignment for 1/18

No homework over exam week. Good luck on your tests!

# Intermediate Algebra Assignment for 1/17

Your Unit 4 test is tomorrow. To prepare, consider the following:

- Work on HW 4.14 – Test Review 2
- Review my answers to both review assignments here
- Post here, or email me with questions you might have
- Read over your notes from the unit, and rewatch some of the videos I’ve posted through the unit
- Adding/subtracting radicals
- Multiplying/distributing radicals
- Rationalizing denominators
- Evaluating nth roots
- Simplifying radicals with variables
- Simplifying radicals with negative radicands
- Multiplying complex numbers
- Powers of
*i* - Rationalizing imaginary denominators
- Solving quadratics with non-real roots

- Work on some IXL practice modules
- H.4 Multiply complex numbers
- H.5 Divide complex numbers
- H.8 Powers of i
- J.6 Solve a quadratic equation by factoring
- J.9Solve a quadratic equation using the quadratic formula
- L.4 Simplify radical expressions with variables I
- L.6 Nth roots
- L.7 Multiply radical expressions
- L.8 Divide radical expressions
- L.9 Add and subtract radical expressions
- L.10 Simplify radical expressions using the distributive property

# Intermediate Algebra Assignment for 1/16

Our test is on **Friday, January 18th** and today we started reviewing.

## Today’s Files

- HW 4.13 – Unit 4 Test Review 1
- Video Archive
- Adding/subtracting radicals
- Multiplying/distributing radicals
- Rationalizing denominators
- Evaluating nth roots
- Simplifying radicals with variables
- Simplifying radicals with negative radicands
- Multiplying complex numbers
- Powers of
*i* - Rationalizing imaginary denominators
- Solving quadratics with non-real roots

## Cumulative IXL Modules

- H.4 Multiply complex numbers
- H.5 Divide complex numbers
- H.8 Powers of i
- J.6 Solve a quadratic equation by factoring
- J.9Solve a quadratic equation using the quadratic formula
- L.4 Simplify radical expressions with variables I
- L.6 Nth roots
- L.7 Multiply radical expressions
- L.8 Divide radical expressions
- L.9 Add and subtract radical expressions
- L.10 Simplify radical expressions using the distributive property

# Intermediate Algebra Assignment for 1/15

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

## Today’s Files

- Notes
- HW 4.12 – Solving Quadratics with Non-real Roots
- Lesson Video (solving quadratics with non-real roots)
- Video Archive

## Cumulative IXL Modules

- H.4 Multiply complex numbers
- H.5 Divide complex numbers
- H.8 Powers of i
**J.6 Solve a quadratic equation by factoring****J.9 Solve a quadratic equation using the quadratic formula**- L.4 Simplify radical expressions with variables I
- L.6 Nth roots
- L.7 Multiply radical expressions
- L.8 Divide radical expressions
- L.9 Add and subtract radical expressions
- L.10 Simplify radical expressions using the distributive property

# 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

- Notes
- HW 4.11 – Rationalizing Imaginary Denominators
- Lesson Video (you can stop watching this video at the 8-minute mark. The examples he does beyond that point are beyond what we will do in this class)
- Video Archive

## 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

- Notes
- HW 4.10 – Multiplying Complex Numbers
- Lesson Video 1 (multiplying complex numbers)
- Lesson Video 2 (powers of
*i*) - Video Archive

## 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

- Notes
- HW 4.9 – Introduction to Complex Numbers
- Lesson Video (simplifying radicals with negative radicands)
- Video Archive

## Cumulative IXL Modules

# Intermediate Algebra Assignment for 1/9

After today’s quiz, you have the usual post-quiz assignment. Complete either page – your choice – for a homework credit. Complete both pages for extra credit on the quiz.

# Intermediate Algebra Assignment for 1/8

Due to the two-hour delay, I have postponed the Simplifying Radicals Quiz to **tomorrow, Wednesday, January 9th**.

Today in class, you are expected to complete **one** of the IXL modules linked below to a score of at least an 80. **Any additional** IXL module linked below you complete to a score of at least an 80 will count as a bonus homework credit applied to a prior missed homework assignment in your record.

In addition, there is a second review sheet for homework tonight. This will be collected before the quiz tomorrow.

## Today’s Files

- Simplifying Radicals Quiz Study Guide
- HW 4.7 – Simplifying Radicals Quiz Review 2
- Quiz Review Solutions (both days)
- Video Archive

## Cumulative IXL Modules

# 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.

## Today’s Files

- Simplifying Radicals Quiz Study Guide
- HW 4.6 – Simplifying Radicals Quiz Review 1
- Quiz Review Solutions
- Video Archive