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Present a quadratic equation in the form ax^2 + bx + c = 0 where a > 1.
How many solutions does your quadratic have based on the discriminant?
Pick TWO ways to find the specific solutions or show that there is no solution:
Quadratic Formula
Graphing
Factoring
Square Root Property
Completing the Square
Why did you choose those two specific methods versus the others?
In the following video, Hannah Fry discusses the basic elements of the mathematical theory and her tips for finding love. Can a healthy marriage be predicted? Can a divorce be predicted? What are the components of a successful marriage? Explain.
Pythagorean Theorem is a fundamental relation among three sides of a right triangle. Create a Voiceover Presentation where you—
Present a picture of an object (TV, Ipad Screen, Book Cover) that contains a right angle (it could be something in nature or that is man-made).
Use a ruler or measuring tape to measure the two sides that make the right angle and measure the distance from the end of one side to the end of the other side (hypotenuse).
Draw a diagram of the object including the measurements.
Use your leg measurements on your diagram to calculate a theoretical hypotenuse. (Show all steps).
Answer the following questions:
Does the hypotenuse that measured with a ruler/measuring tape equal the hypotenuse you calculated?
Why do you think they are or are not exactly the same?
What did you learn from developing this presentation?
Your presentation should be done in PowerPoint
Your task this week is to select a topic area and suggest how you could address a research question in that topic area using two of the five qualitative methods you have read about this week (e.g., grounded theory, a phenomenological approach, an ethnographic approach, a case study, or a narrative approach). Your selected topic can be as broad as you like, such as bullying in schools or the workplace, or understanding the experiences of individuals recovering from drug or alcohol addiction. The topic area you choose will not influence your grade, just your explanations for how you might address a research question in this area of interest.
After selecting your two qualitative methods, prepare an audio PowerPoint presentation for your colleagues to include the following for each method:
Provide your research question and proposed method.
Explain how you would recruit your sample.
Detail the questions you would ask your participants.
Explain the issues that may affect the quality of your data collection.
Explain the approach to your analysis.Incorporate appropriate animations, transitions, and graphics as well as speaker notes for each slide. The speaker notes may be comprised of brief paragraphs or bulleted lists and should cite material appropriately.
Support your presentation with at least five scholarly resources. In addition to these specified resources, other appropriate scholarly resources may be included.
Problem 1
–11 ≤ –5 + 6x < 13
Problem 2
3x + 2 ≤ –1 or 11 – x ≤ 4
· Solve the compound inequalities as demonstrated in Elementary and Intermediate Algebra and the Instructor Guidance in the left navigation toolbar, in your online course. Be careful of how a negative x-term is handled in the solving process. Show all math work arriving at the solutions.
· Show the solution sets written algebraically and as a union or intersection of intervals. Describe in words what the solution sets mean, and then display a simple line graph for each solution set. This is demonstrated in the Instructor Guidance in the left navigation toolbar, in your online course.
· Incorporate the following five math vocabulary words into your discussion. Use bold font to emphasize the words in your writing. Do not write definitions for the words; use them appropriately in sentences describing your math work.
o Compound inequalities
o And
o Or
o Intersection
o Union
Your initial post should be at least 250 words in length. Support your claims with examples from required material(s) and/or other scholarly resources, and properly cite any references.
As you were completing the Fraction Kit Activity, what Mathematical Practices were at the forefront of your work? State specific evidence for your answer and discuss.
Discuss why fractions should be introduced in context first
As an aspiring educator, you might be teaching the concepts from Weeks 2 and 3 to students. This assignment will give you an opportunity to think about what that situation might look like as you create a resource for a future teacher. The future teacher might be you or someone else.
Identify the topic(s).
From your perspective, develop the important student learning outcomes for the mathematical concepts from Weeks 2 and 3.
Include any rules and definitions that are important for students to learn.
Discuss strategies your future self or another future teacher could consider when developing ideas for teaching the concepts.
Share parts of your reflections that were meaningful to you and discuss why. For example, you might include observations of your own learning, the use of the learning tools, things that were surprising to you, connections you made, or any other topics that you want your future self or another future teacher to remember.
22, Write an equation of a line containing (2, —3) and perpendicular to 3x + 4.y =14.
2(4x+1)—(x+3)
28, When solving a system of equations using the addition or substitution method, haw can you tell if a system hes infinitely many or no solutions? What’s the relationship between the graphs in these situations?
Create your resource. In your resource:
Identify the ideas that would be important for your future self or another future teacher to remember.
Identify the topic(s).
From your perspective, develop the important student learning outcomes for the mathematical concepts from Week 1.
Include any rules and definitions that are important for students to learn.
Discuss strategies your future self or another future teacher could consider when developing ideas for teaching the concepts.
Share parts of your reflections that were meaningful to you and discuss why. For example, you might include observations of your own learning, the use of the learning tools, things that were surprising to you, connections you made, or any other topics that you want your future self or another future teacher to remember.