Algebra I - Inequalities
Go to Gizmos and explore the two lessons on Inequalities and then take the assessment for each lesson.
Christel Holland
Help With Math
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.
Algebra I - Solving Two-Step Equations
Use the following videos to help with solving multi-step equations.
Math Models: Unit 2 - Univariant Data
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.
Algebra I - Solving One Step Equations
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.
Wordle
Go to wordle.net to create a wordle
publish to a public site
you will find the embedded code at the bottom
keep window open and open a new window and go to blog
login and create a new item
click on <> and paste code to the end
Banking
Read the following handout:
Complete the following activities:
Exploring Exponential Growth
You have just won the grand prize on a game show. The game show host tells you that you may choose from one of two cash prizes but you only have 30 seconds to decide. Your choices are
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
Gizmo Exploration of Inverse Functions
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.
Inverse Functions & Exponential Functions
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:
How can you distinguish between direct and inverse variation?
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.
What is the domain and range of a function and how does it differ from the domain and range of the problem situation?
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.
How can you determine if a relation is a function?
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."
What is an asymptote and how does it appear in a graph of the function?
An asymptote is a line which the graph approaches as the independent or dependent variable gets very large in the positive or negative direction.
How can you determine if a function is increasing or decreasing over an interval?
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.
What methods of representations should be used to analyze a collection of data?
Tables, scatterplots, graphs, verbal descriptions, and algebraic representations.
How can the strength of the regression equation be determined?
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.
Click on the attachments below to view a video on inverse and exponential functions.
Using the graphing calculator to solve quadratic equations
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.
Welcome to Algebra I
Good morning class! Welcome to Coach Holland's Algebra I class. This year, we will be implementing more technology into the classroom. One of the ways that we will do this is to incorporate blogging into the lesson plan. On my blog, you will be able to find lessons, assignments, tests, etc. Each one of you will set up your own blog and use it to complete assignments and submit your work. CoolTexts Instructions
Flamingtext.com and cooltext.com
Logos
Create logo
download to blog folder on desktop use .jpg format
be sure to change the name when you save
Banner
go settings on blog page
choose theme with banner
upload banner and save
Week One
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.
Introduction
This is my blog. I will be placing instuctional materials here for you.
Rules for uploading to a blog:
Use image composer
300 x 200
or
200 x 300
This is the max size for graphics.
Apple compatible MS compatible
Movies .MOV .WMV
Sound MP3 . WAV
No issue with graphics, use .jpg for pictures and photos and use .gif for charts and graphs
Blogs in plain English - www.commoncraft.com/blogs
value added comment - correct grammar, politeness, respect, copyright laws, etc. the blogs are not a chat rooms.
Post the text instructions with each movie teaching a concept.
Need audacity software to do sound never go past a -12
You can use 30 seconds of any song over 3 minutes long ( 10% or 30 seconds whichever is shorter) as long as you credit the producer, songwriter, and artist. For movies, 10 to 20 second clips.
Use audio to expand text instructions.
Atomic learning - 30 sec or 1 min videos on anything that you want to know about technology applications.
AverVision 3 - load the software - click record(the camera), record, click stop(the camera), save to desktop, download to blog with paperclip, saves as an .avi
Ispring takes powerpoint and narration and makes them uploadable, saves is as a .swf(shock wave flash)
diigo will allow you to edit websites. Students can edit your blogs so that you can improve them.