Intermediate Algebra Assignment for 5/29

Today’s theme is polynomials: multiplying, adding, subtracting, and dividing them (simplifying rational expressions).

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Intermediate Algebra Assignment for 5/20 (Test Warning!)

We did some more work with Linear vs Exponential models today, and the homework is more of the same. We’ll start reviewing the unit as a whole tomorrow, with our planned Unit 9 test on Friday, May 24th

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Intermediate Algebra Assignment for 5/17

Today’s assignment is about deciding whether a linear or exponential model is most appropriate for a set of data. The short version is make a scatterplot and examine the picture. If it looks straight, use a linear model. If it looks curved, use an exponential one.

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Intermediate Algebra Assignment for 5/16

More of the same today as yesterday, only this time working with exponential regression instead of linear.

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Intermediate Algebra Assignment for 5/15

Not all linear or exponential relationships are as perfectly defined as we’ve seen. Sometimes the fit of a line or a curve is a bit more approximate, and finding the equation for these functions is a bit more tricky. Fortunately, your calculator provides you with a helpful tool in doing just this: Regression. The instructions for getting your calculator to do this are in today’s notes. They’re a little tricky (lots of button pushes), but pretty straightforward.

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Intermediate Algebra Assignment for 5/14

More with linear and exponential models today, specifically with interpreting what the parameters (slope, y-intercept, growth rate) mean in the context of the scenario they model.

The big takeaway is this: for both linear and exponential models, the y-intercept is the starting point or initial value. For a linear function, the slope is the unit rate of change – the change in whatever y measures per one unit increase of whatever x measures. For an exponential function, the value of b always represents the growth or decay rate – typically expressed as a percent. You’ll need to set b = 1 + r or b = 1 – r, then solve for r to get the percent change.

Don’t forget to bring your Chromebook and calculator every day for the rest of this week!

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Intermediate Algebra Assignment for 5/13

We’re in the last phase of Unit 9, which starts off by reviewing the difference between linear and exponential equations and deriving the formulas for these equations from a table of values.

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Intermediate Algebra Assignment for 5/9

I’ve decided to push the quiz a day to give us a little more time to review. Your homework is twofold:

 

Intermediate Algebra Assignment for 5/7

8th period: Please watch this video to introduce the big idea behind today’s lesson (late in the video, the term “gradient” refers to the slope of the line tangent to the curve at a point), then watch this video from 14:30 to 18:15 for some examples of how to use this formula. Your homework will be the same as below.


We expanded on compound interest today, extending the concept to the idea of “compounding continuously,” which in turn led us to the fascinating mathematical constant of e. If you’re interested in learning more about e, click the link!

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Intermediate Algebra Assignment for 5/6

A special case of exponential functions today: Compound Interest

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Intermediate Algebra Assignment for 5/2

Continuing with the unit on exponential functions, today we spent some time working on creating functions that model real-world data.

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Intermediate Algebra Assignment for 5/2

We finished our lesson on understanding marginal tax rates, and your homework is to work through a few more examples. You can use the online tax calculator found here to check your work.

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Intermediate Algebra Assignment for 4/29

Your first quiz of Unit 9 is tomorrow. Remember that this is a no calculator quiz.

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Intermediate Algebra Assignment for 4/25

Today, we revisited the exponential growth and decay functions we first saw with the M&Ms activity on Wednesday, and we formalized our notation and vocabulary a bit.

If you’re here to watch a lesson video in class, you can find it here.

Today’s links

  • Homework: HW 9.3 – Exponential Growth and Decay
  • Notes
  • Lesson video – This video refers to a specialized version of the exponential function formula we discussed on the notes, where there is a specific % increase or decrease, but the overall content is the same. You can also stop watching at around the 7-minute mark, as it goes on to examples we will not do.

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Intermediate Algebra Assignment for 4/24

Today, we reviewed the various shortcuts for simplifying expressions with exponents, and tonight is some practice of them.

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Intermediate Algebra Assignment for 4/9

Today, we reaffirmed that the Expected Value is a long-term average. Meaning the results of a small handful of trials are unlikely to produce the same average as the expected value, however increasing the number of trials will produce averages more in line with what you expect.

Don’t forget that our test on this unit will be on Thursday, April 11th!

Today’s links

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Intermediate Algebra Assignment for 4/8, plus Test Warning

We did some more practice with calculating Expected Value today, and the homework is to continue that work.

Our test on this unit will be on Thursday, April 11th. If you will not be in school that day, you must make up the test before you leave. NO EXCEPTIONS

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Intermediate Algebra Assignment for 4/1

Permutations and combinations tend to be tricky to figure out when you first encounter them, so we spent some more time looking at examples, including a modification to the concept to find arrangements of letters in a word.

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Intermediate Algebra Assignment for 3/29

The next part of the “counting” part of this unit is understanding the difference between two common patterns of counting: permutations and combinations. In brief, permutations are used to count the number of arrangements of objects, specifically when order matters like with ranked lists, unique assignments, or sequences. Combinations are used to count the number of groups of objects, specifically when order doesn’t matter like with committees or batches.

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Intermediate Algebra Assignment for 3/28

We did some more work with understanding the nature of mathematical independence today, including making some graphs to help illustrate whether or not independence exists in a group of data.

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