the goal sheet. After they turn in their goal sheet, they start copying down notes. Today they are doing lessons 10.1-10.2: Quadratic Functions. The objective for this lesson is to be able to find the axis of symmetry and the vertex of a quadratic function. A quadratic function is a nonlinear function that can be written in standard form: y=ax2+bx+c where a≠0. Quadratic functions have a u-shaped graph called a parabola. The students complain about taking notes, but Mrs. Hopley explains that this section
way that we can see the trapezoidal (or midpoint) rule is that we approximate a function using a first degree polynomial. Following this line of thinking we can say that by using Simpson’s rule we approximate a function using a second degree polynomial. In the graph here above f(x) represents the function that we are trying to approximate P(x) is the second degree polynomial that we use to approximate the function The Simpson’s rule can be derived in various ways described in the two following
Curriculum Writing Assignment: Quadratic function This paper will discuss all possible graphs of a quadratic function, how to know when you have found them all, and the roles of the intercepts and coefficients and how they affect the graphing of a quadratic function (Core Curriculum math sample writing assignment). The form of a quadratic function is f(x)=ax^2+bx+c (Quadratic Functions). The U shape formed by the graph is called a parabola (Quadratic Functions). A quadratic function can be graphed to open
Integrating Autograph in teaching The functional nature of the software is determined by the order of tasks prepared by the teacher and how the learners interact with the software (Godwin & Beswetherick, 2003). Hence, working on the tasks set using the software, the learners are able to manipulate and explore mathematical relationships independently. Previously, I have taught this topic using pedagogy and content knowledge, in line with the department’s Scheme of Work. However, following the
To do this, I will first use the get the function of the red bird parabola that would kill the pig. Then, I will use vectors to consider the parabolic equations changing depending on the angle of the red
Table of contents Page 2 & 3 …………………………………………….. characteristics Page 4 ….……………………………….………..parent functions Page 5 ………………………………………………….vertex Form Page 6 ……………………………………………… Standard form Page 7…………………………………………………..Factoring Page 8 & 9…………………………………….Completing the square Page 10………………………………………..Imaginary Numbers Page 11 & 12 ………………Complex Numbers & Complex Operations Page 13 ….……………………………….... Quadratic Formulas Characteristics Axis of Symmetry Axis of symmetry is a line going through a graph
flow function: f_we=1/(1+B_o/B_w (1/f_ws -1)) It must be noted that in most water drive reservoirs before the water breakthrough, there is an initial period of depletion. The fractional flow calculations, only take into account the oil recovered by water injection. Therefore calculations can be performed only after the water breaks through in the producing wells. Prediction of final oil recovery If injection rates during the latter part of the flood are relatively stable, then 1/Wid function can
the nose). This was possible, however was very difficult as I did not have the knowledge to create these using technology. This investigation looked at five different mathematical modelling techniques and the effect when domains were set for a function. These modelling techniques were used to construct an illustration.
topic very well known to everyone Quadratic Equation, he had his keen interest in solving all mathematical problems using quadratic equations or by its forms, this led him to a great loss in life. Just due to the tendency he had build up in his mind of using quadratic equation everywhere. Ignoring the fact that this method consumes lot of time, comparative to other methods which are used to solve other problems in math which can be at the same time solved by quadratic but consumes more time. Due to
Lake” by E.B. White with the use of rhetorical devices. While describing the way memories are “floating” away, Collins says “Long ago you kissed the names of the nine muses goodbye and watched the quadratic equation pack its bag.” (Collins 9). This is an illustration of personification because quadratic equations lack the ability to pack bags. Similarly, in “Once More to the Lake”, White says “I would remember the things you could do with the old one-cylinder engine with the heavy flywheel, how you