Quadratic function

In this lab we will explain how to deduce the equation landing position of the ball thrown by the robotic arm stand. We must create the equations in terms of the radius, height, arm rotation speed, and release angle. The equations must be made with those variables because, those variables are what can change where the ball will land in the cup, and will make the equation more useful to the client. To make sure the equation will remain accurate we have to keep track of all the units throughout…

building off their previous knowledge of solving quadratics to understand complex solutions of quadratics. For this lesson I started off by allowing students to solve a quadratic I had written on board. However the quadratic equation I had written on the board was the wrong equation so students got stuck when they tried to use the quadratic equation because they got a negative under the square root. From there, we went to the graph of the quadratic to see if that would be able to help identify…

• What information did you not know before? I actually did know some of these items, or at least the terms, previously but not in the sense that they were presented to us this week. I was familiar with vertices, edges, and the formal notation of a graph. I didn’t have an appreciation for how graphs could be applied to creating and managing associations with various items by applying them as vertices or edges in a way beyond their representation as numeric coordinates. • What information was…

misconceptions and the whole process has been eye-opening with regards to the number of things to consider in my own planning for these “mock” teaching scenarios.Turning to the article on functions by NCTM, I was reminded of my own mathematics learning experiences in middle and high school. I feel as if my understanding of functions (prior to college mathematics) was never fully developed. I’m not sure if we were even shown a “puddle” or “mapping” diagram in any of my secondary math classes;…

Related rates are used in a wide variety of different scenarios from finding how large a spill is increasing, to how fast it may take to empty something. Related rates deal with time, usually have two different variables like height, length, radius, or width; and have something that is changing like area, distance, or volume. In order to solve related rates problems you need to be able to recall or have access to basic geometry formulas like circle, cone, cylinder, rectangle, triangle and…

For this curriculum study, I chose third grade mathematics as my unit of study. As far as my objectives go, I would want my students to walk away from this particular section of fractions with the understanding of what a fraction is, the difference between the components of a fraction such as the numerator and denominator, knowing how to identify how many parts of a whole are shaded in, and knowing how to simplify a fraction. As far as my instructional method, I created an original prezi, which…

allowed us to construct a national income model. We used figures for 2014. UK National Income model approximations The variables we need include: • A consumption function, C = a + b(Y-T) • An import demand function, M = k + mY • Exogenous variables, representing investment, I*, exports, X*, government expenditure, G* • A tax revenue function, T = tY + T* • Equilibrium condition for Y National income in the uk In 2014 the GDP in the UK came to $2522.26 Billion. We will use this…

It is important in children’s cognitive development and with their success in school. Executive functions are used to organize and act on information. Working memory is one executive function. This skill is the ability to carry information in mind for the purpose of completing a task. Working memory is like your mental sticky note. When I was in fifth grade my classmates and I were learning how…

There are several areas in the natural world where the process of exponential decay arises from random processes. Whenever a material decays at a rate in proportion to its amount, this material represents the process of exponential decay. Exponential decay can be described using the mathematical model y=a×e^(-bx). A prominent example of naturally occurring random exponential decay is the process of radioactive decay. Some isotopes of nature are considered radioactive due to a specific…

Results: At the start of the experiment, the initial flow rate was established as 20 ml min-1. This means that there is a steady flow of fluid or blood in your body (in this case, water) at a rate of 20ml min-1. In order to find the final concentration of the Eosin (2,5 mg ml-1) in the “blood” after 60 minutes a calibration curve had to be created by making up seven different solutions of eosin (11,25 μg ml-1) and water to compare it against their absorbance that was calculated in a…