## Combining Like Terms

This is your welcome to class. All your questions about this class will be answered in this welcome.

Go to Gizmos and explore the two lessons on Inequalities and __then__ take the assessment for each lesson__.__

When you need help with **ANY **math assignment, from adding and subtracting intergers to Algebra to Geometry to Calculas, the following website has many, many excellent short videos explaining any concept. Just search for what you need help with and watch the related videos.

Use the following videos to help with solving multi-step equations.

Go to Gizmos and explore the following:

Histograms

Populations and Samples

Polling:City

Polling: Neighborhood

Stem and Leaf Plots

Answer all the questions on the exploration guides and upload to the school weblocker math models upload. Save the document as

Period_LastName_FirstInitial_GizmoName. Then complete the assessment for each gizmo. All exploration guides and assessments will be due Friday, Oct. 14.

http://www.regentsprep.org/Regents/math/algtrig/ATS2/NormalLesson.htm This link is an explanation of the normal distribution curve.

Watch the following videos: http://www.khanacademy.org/video/solving-one-step-equations?playlist=Developmental+Math

Then play the following game: http://www.quia.com/ba/36544.html

Go to gizmos and do the following explorations and assessments:

Modeling One-Step Equations - Activity A

Modeling & Solving Two-Step Equations

Solving Two-Step Equations

Solving Equations by Graphing Each Side

These will be due Monday, Oct. 17.

Read the following handout:

Complete the following activities:

**Choice #1** **$1,000 per day for 30 days**

**Choice #2** **$0.01 (one penny) the first day, $0.02 the next ****day, $0.04 the next day....for 30 days. Each day's pay is ****double the pay from the previous day.**

**Which would you choose?**

Calculate the total prize money for each choice.

Did you choose wisely?

Graph both prize amounts on separate graphs. Explain the differences that you see in the two graphs.

**Rubric for grading this activity:**

5 points

- Prize amounts have been accurately calculated for the entire 30 day period
- Prize amounts have been accurately graphed on seprate graphs
- Graphs are neat and clearly labeled
- Student has explained the differences that he/she noticed between the two graphs

4 Points

- Prize amounts have been accurately calculated for the entire 30 day period
- Prize amounts have been accurately graphed on seprate graphs
- Graphs are neat but not labeled
- Student has explained the differences that he/she noticed between the two graphs

3 Points

- Prize amounts have been accurately calculated for the entire 30 day period
- Prize amounts have been accurately graphed on seprate graphs
- Graphs are poorly drawn and not labeled
- Student has not clearly explained the differences that he/she noticed between the two graphs

2 Points

- Prize amounts have been accurately calculated for the entire 30 day period
- Prize amounts have not been graphed

The following website is a graph of exponential growth that you can play around with the initial condition and growth rate and watch the graph change. http://cauchy.math.colostate.edu/Applets/ExponentialGrowth/exponentialgrowth.htm

Explore Direct and Inverse Functions using Gizmos.

Click on Enroll in a Class

3rd Period Class Code: **F775Z57BJQ**

5th Period Class Code: **F782SPY4YU**

See me to get your username and password.

Select **Direct and Inverse Variation Gizmo**

Open the **Exploration Guide **and use the **Gizmo **to help you answer the questions**. **

Once you have answered all the questions on the exploration guide, go to the **Assessment Questions **and answer them.

These questions are graded as you do them and grades are reported to me automatically.

We will begin our study of Inverse and Exponential functions on the blog.

Objectives:

* Apply direct and inverse variation functions to describe and solve problems involving physical laws of science.

* Create a table and scatterplot for a given set of data. Describe the independent/dependent variables, determine if the data set is afunction and whether it is continuous or discrete, and identify intervals that are increasing/decreasing. Use representations to make predictions and draw conclusions about the given set of data.

* Construct tables and graphs for a collection of real-world data. Determine a function that would best represent the data. Determine the regression equation for the data. Describe the strength of the regression equation as a predictor. Apply the representations to make and justify predictions and conclusions related to the data collection.

Key Understandings and Guiding Questions:

Direct variation involves multiplying a constant by the independent variable. Graphically direct variation is linear and is an increasing function.

Inverse variation involves dividing a constant by the independent variable. Graphically inverse variation is curved with asymptotes at the positive

y-axis and positive x-axis. and is a decreasing function.

The domain is the set of values of the independent variable, the x-values that "work" in the function.

The range is the set of values of the dependent variable, the y-values that we "get out" of the function.

For a function, the domain and range can be all real numbers, but in the problem situation, the domain and range may have to restricted to

values greater than or equal to zero.

If a relation is a function, each value of the independent variable will be associated with only one value of the dependent variable. As previously

discussed, **the x's cannot be "floozies."**

An asymptote is a line which the graph approaches as the independent or dependent variable gets very large in the positive or negative direction.

If the graph goes up from left to right or if the x and y values both increase, the function is increasing for that interval.

If the graph goes down from left to right or the the x values increase and the y values decrease, the function is decreasing for that interval.

Tables, scatterplots, graphs, verbal descriptions, and algebraic representations.

The "r" value can be found using the graphing calculator. The closer the "r" value is to positive or negative 1, the better it is as a predictor.

To activate the "r" value on the graphing calculator, press 2nd > 0 and scroll down to "diagnostic on" and press enter.

If "r" is less than .33, there is a weak, very weak, to no correlation as it approaches 0.

If "r" is between .33 and .67, there is a moderate correlation.

If "r" is greater than .67, there is a strong, very strong, to perfect correlation at 1 or -1.

This is a really cool website that takes you step by step through the process of solving quadratic equations on the calculator.

So..., when you are doing your assignment and you get stuck, just click the line and follow the steps.

Flamingtext.com and cooltext.com

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You will find information for this class on my blog.

The first issue that we will address is classroom rules.

1. All rules in the student handbook will be enforced.

2. Be respectful.

3. As soon as you enter the classroom, get your notebooks out.

4. Treat all calculators and other technology with the utmost care.

This is my text.