1.1.2 Graphs
We have now converted information from words or pictures to tables to formulae and now we’re going to look at how we can convert information into graphs:
Example:
If we invest R1 and it doubles every month, how much will we have at the end of 1 year?
Let’s first draw a table:
Months 1 2 3 4 5 6 7 8 9 10 11 12
Rands 1 2 4 8 16 32 64 128 256 512 1024 2048
Now let’s depict this information as a graph or chart:
We can draw a bar chart: Or we can draw a line graph:
Formative Assessment
Activity 5
Please follow the instructions from your facilitator to complete the Activity in your Formative Assessment Guide
3.2 Compare, analyse and describe the behaviour of patterns and functions
In the previous section, we looked at how to
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A common example of an algorithm would be instructions for assembling a model aeroplane. Given the starting set of a number of marked pieces, one can follow the instructions given to result in a predictable end-state: the completed plane. Misprints in the instructions, or a failure to properly follow a step will result in a faulty end product.
In mathematics, an algorithm is a problem-solving procedure: a logical step-by-step procedure for solving a mathematical problem in a finite number of steps, often involving repetition of the same basic operation. In other words, we are talking about a pattern of operations.
The mathematical concept of a function expresses the idea that one quantity (also known as the argument or input) completely determines another quantity (the value, or the output).
An example of a function is f(x) = 2x, which assigns to every real number the real number that is twice as big. So, if x is 5, we can write f(5) = 10 or if x is 6, we can write f(6)= 12, and so the pattern continues.
3.2.2 The key features of the graphs of functions
Graph Domains and
Existing basic unit is shown in fig.2.1. As shown in fig.2.1, the basic unit consist of three dc voltage sources and five unidirectional power switches. In this structure, power switches (S_2,S_4),(S_1,S_3, S_4, S_5), and (S_1,S_2,S_3, S_5) should not be simultaneously turned on in order to protect the dc voltage sources from the short circuit. Table 2.1 shows the existing basic unit power switches turn on and off states, where the basic unit is able to generate three different voltage levels at the output that is 0, V_1+V_3, and V_1+V_2+V_3. It is important to note that the basic unit is only able to generate positive levels at the output.
1. Computer a program to write a function power() to raise a number m to a power n. The function power() will take a float value for m and n will be an integer value. a default value of 2 to be used to make the function for calculating the squares in case this argument is omitted. The main function has to be written that takes the value for both m and n as input from the user for testing this function.
3.OA.4 Determine the unknown whole number in a multiplication or division equation relating three whole numbers. A number multiplied by twelve makes thirty six. What is this number? 2 3 12 8 I think of a number, multiply it by eight, and I get thirty two.
1) The data provided in this exercise are confounding. We do not know the variables (is it color, weight...?). Hence, we cannot calculate an average due to incomplete information. If the variable was colors, I would code them as factors. If the variable was weights, I would code them as a numeric value.
\section{Towards Solution} \label{sec:colocation:solution} We now show analytically how co-locating applications and data together in a micro-cloud reduces energy consumption. In the table below we list all the notations used in the model. %\newpage \begin{center} \begin{tabular}{l | l} Notations & Descriptions\\ \hline M & Total Number of micro clouds\\ A & Total Number of Applications\\ H & Total Number of Hosts\\ $E_{ad}$ & active to dormant energy consumption\\ $E_{da}$ & dormant to active energy consumption\\ $E_{sa}$ & sleepy to active energy consumption\\ $E_{as}$ & active to sleepy energy consumption\\ $m_{ic}$& Machine i in a micro-cloud c\\ $R_e$& read energy consumption rate\\ $W_e$& write energy consumption rate\\ $E_{cpu}$
We work with a Boolean Language whose basic symbols are $\vee,\wedge,\neg,\Rightarrow$ endowed with a finite set of atoms $\mathcal{A}$. The set of literals, $\mathcal{L}$, is the set $\mathcal{A}\cup\{\neg p|p\in\mathcal{A}\}$. A pair formed by a literal together with its negation is called a conjugated pair. Here we give the (classical) definition of valuation over a Boolean formula. That is the definition we will use henceforth. \begin{definition}\label{BOOLFOR:def}
The value provided as the result of a function call. Code that is used during program development to assist with development and debugging. "Function Composition" is applying one function to the results of another. Some functions can be de-composed into two (or more) simpler functions. Assume that the center point is stored in the variables xc and yc, and the perimeter point is in xp and
The chart has horizontal axes. I would say that they are formatted and labeled correctly because they are on top of another which makes it easy to comapre the information and it has data labels at the end of each bar so you can compare the information not just by how it looks. Question 5 Is there anything you didn’t mention in questions 1-4 that you would do to make someone understand the chart better? The background might want to be a darker color because one of the bars is a light green and may blend easily for color blind people or people who just have bad eyesight, especially on screens.
The third section was an introduction to functions. For me, identifying the functions on the graph is very easy for me. However, the mathematical concepts of functions was a little more difficult to understand. This took about three readings for me to understand. 4.
The chart will ask for a main idea and for four key details. Students will be used to using this graphic organizer because they are required to fill one of these out before they take and AR test. Also, by mid school year students are familiar with main idea and key details. T- Now that your organizer is filled out lets go over it.
Even though he wasn’t appreciated during his lifetime, he made an immense impact in the world of data. Line, bar, and pie charts are all used in the everyday world, whether it is to show a poll on the public’s movie preference, or to show the progress of a company’s progress. William Playfair attributed to the world by creating graphs and
This article is about a mathematical classroom experiment given to fifth graders by Nicole Panorkou and Alan P. Maloney. The experiment they perform in the article helps create a successful foundation for what the students need to know about numerical functions when they get into middle school and high school. The experiments demonstrated test the children’s knowledge through activities, contextual problems and discussions that determine how well they can express relationships in terms of covariation and correspondence. Through the experiment, the children show tremendous growth by going from simply being able to describe patterns and sequences at the beginning of the experiment to being able to show greater understanding through actually distinguishing specific relationships between numerical patterns using the ideas of
Mathematics is a science that helps us recognize, classify, and explore the hidden things of our universe(McGinnis). Focusing on areas as different as planetary motion, animal markings, shapes of viruses, or figure skaters, and the very origin of our universe. Mathematics is the most powerful tool available for revealing the underlying structure of our world(McGinnis). Thanks to mathematics, mathematicians have been able to discover many things such as the uncontrolled storm of noise in the nerve cells of the brain during an epileptic seizure(McGinnis). Math plays a vital role in the healthcare system.
When a student understands a mathematical concept, they move fluidly between the concrete and abstract.