04 May QuestionMATH114 Algebra for College StudentsWeek 1 Discussion
Question
MATH114 Algebra for College Students
Week 1 Discussion
Exploring factors and Factoring Trinomials
We start the week by looking at the concept of Greatest Common Factor (GCF). We will then move on to factoring trinomials. For your first post create a video or VoiceThread (make sure you have a supporting PowerPoint) that begins with an explanation of the concept of GCF illustrated clearly by an example. In the next part of this post explain how to factor a trinomial you have chosen, clearly explaining the steps and the math involved. You can find examples to solve in your textbook or on the Internet.
For your next two posts review and comment on at least two other videos or VoiceThreads. You may use any technology you prefer (text only, text with images, video, VoiceThread response, narrated PowerPoint slide, etc.) to compose these review comments.
MATH114 Algebra for College Students
Week 2 Discussion
Special Factoring Strategies
This week we continue our study of factoring. As you become more familiar with factoring, you will notice there are some factoring problems that follow specific patterns. These patterns are known as
a difference of squares;
a perfect square trinomial;
a difference of cubes; and
a sum of cubes.
Choose two of the forms above. Create a video or VoiceThread with supporting PowerPoints, explaining the pattern that allows you to recognize the binomial or trinomial as having special factors. Illustrate with examples of a binomial or trinomial expression that may be factored using the special techniques you are explaining. Make sure that you do not use the same example a classmate has already used!
For your next two posts review and comment on at least two other videos or VoiceThreads. You may use any technology you prefer (text only, text with images, video, VoiceThread response, narrated PowerPoint, etc.) to compose these review comments.
MATH114 Algebra for College Students
Week 3 Discussion
Graphs
This week, we begin graphing systems of simultaneous equation. Before we begin looking at the many graphs you can find out on the Web, a good starting point is to review our knowledge of 2-D graphs. These graphs are known as 2-D because they have two axes. One you are familiar with is the xy-graph, which has an x axis and a y-axis. Create a video or VoiceThread that addresses at least two characteristics of graphs in the x,y plane. Some of the characteristics that you can choose are:
How to determine coordinates of different points in the graph
How to determine the x intercept and the y intercept of a line on this graph
How to find the slope of a line on the graph
Given a linear equation, how to graph a line
How to determine if a line has a positive or a negative slope
You can also choose any other characteristic that you like. Make sure that you illustrate what you are describing with an appropriate example. For your next two posts review and comment on at least two other videos or VoiceThreads!
MATH114 Algebra for College Students
Week 4 Discussion
Solving Systems of Equations
There are three ways of solving systems of linear equations: graphing, substitution, and elimination. This week we are studying substitution and elimination. Create a video or VoiceThread that explains in detail how to solve a problem using either of these two methods. You can find a problem to solve in your text book or on the internet. Show your step-by-step solution using one of the two methods. Make sure to include how you will check your solution. For your next two posts review and comment on at least two other videos or VoiceThreads!
MATH114 Algebra for College Students
Week 5 Discussion
Square Roots
This week, as we begin our study of square roots. A good starting point is to explore the life of Pythagoras and his contribution to the world of mathematics. Create a video or VoiceThread to provide us with a snapshot of one part of his life or his discoveries. Include in the post the famous theorem that we still use today, supported with a detailed example. For your next two posts review and comment on at least two other videos or VoiceThreads!
MATH114 Algebra for College Students
Week 6 Discussion
Solving Equations using Square Roots or the Quadratic Formula
This week we will learn to solve quadratic equations by using the square root property and the quadratic formula. Create a video or VoiceThread clearly explaining one of these methods. Your post should also include a step by step solution to a problem you have solved to illustrate the method you are describing. For your next two posts review and comment on at least two other videos or VoiceThreads!
MATH114 Algebra for College Students
Week 7 Discussion
Understanding Functions
As we begin the study of Functions we see that they have a language of their own. Let’s look at this new language and the terms it uses. We see terms such as: relation, function, functional notation, x-intercept, y-intercept, axis of symmetry, maximum (of a function), minimum (of a function), and vertex. Create a video or VoiceThread that clearly explains any two of these terms and explain the term to your classmates in your own words. Then explain with a supporting example how you wi
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