# Core Math Investigation

Length: 713 words (2 double-spaced pages)

Rating: Excellent

#### Essay Preview

Core Math Investigation

1) When x is more than 0 and increases (e.g. from 5 to 6), y increases
at a much faster rate and becomes very big. When x increases when it
is less then 0 (e.g. from –10 to –9), y increases very slowly.

2) (i) The value of a affects the value of x proportionally. For
example we can compare the equations y = 1 + 2x and y = 5 + 2x. In the
second equation, the value of a has been change to 5. As we can see
from the results in Tables 1 and 2, all the values of y for y = 5 + 2x
are greater by 4, when x is the same.

(ii) As we have seen in (i), the effect of a does not affect the value
of y, as it is a constant added to the solution of 2x . Hence, the
value of a affects x proportionally, no matter what the value of x is.

3) (i) For b = -1, b causes the value of y decrease rapidly as x
increases. This is because when x becomes larger, bx will be a very
small number as bx will be small as b is negative while x is positive.
For b = 0, y remains constant throughout, no matter what the value of
x is. This is because 0x will always give 0. For b = 1, the
relationship is the same as in (1), as 1x will always lead to a rapid
rate of increase for y when x> 0.

(ii) For b = -1, b causes y to increase greatly when x gets smaller,
as b is a negative number and so bx will give a large number when both
b and x are negative. For b = 0, y remains constant throughout, no
matter what the value of x is. This is because 0x will always give 0.
For b = 1, the relationship is the same as in (1), as 1x will always
lead to a very slow rate of increase for y when x <0.

MLA Citation:
"Core Math Investigation." 123HelpMe.com. 19 May 2019
<https://www.123helpme.com/view.asp?id=150043>.

## Need Writing Help?

Get feedback on grammar, clarity, concision and logic instantly.

## The Common Core State Standards Essay

- Common Core Controversy The Common Core State Standards (CCSS) have been a controversial topic in the world of education for the past few years. Common Core State Standards’ focus was to have a unified set of standards that would ensure the U.S. children a high quality education and prepare students for life after high school, with aligned assessments to track student progress over time. Common Core has brought more issues in current school reform than producing highly qualified students....   [tags: Education, School, Teacher, Higher education]

Research Papers
963 words (2.8 pages)

## Learning-Style Responsive Approaches for Teaching Typically Performing and At-Risk Adolescents

- Learning-style responsive approaches for teaching typically performing and at-risk adolescents. Summary: Chalk and talk lectures are hurting at-risk students achievement potential. Many at-risk students are not performing on standardized tests when they are taught using traditional teaching methods of lectures, note taking, and assigned reading and questioning. Furthermore, at-risk students usually struggle, lose interest and motivation and often become embarrassed or depressed by failure when taught under these methods....   [tags: Education, math, teachers, teaching]

Research Papers
1664 words (4.8 pages)

## Essay about The Penny Harvest and Common Core

- Standards-based education has been a prevalent theme within educational rhetoric since the release of A Nation at Risk: The Imperative for Education Reform in 1983; the report had been compiled by President Ronald Reagan's National Commission on Excellence in Education. The report described the state of education across America, stating that nearly 10% of the American population was “functionally illiterate”, the private and military sectors were spendings tens of millions of dollars on remedial education and training programs, and that the United States had fallen dangerously behind its industrialized international competition (U.S Department of Education)....   [tags: Common Core in LA Schools]

Research Papers
3198 words (9.1 pages)

## The Common Core Standards : Math And English Language Arts Essay

- The Common Core provides a consistent understanding of requirements and is a set of standards for expected student learning. With a baseline, teachers know what to teach and how to help students achieve the best education possible. These concepts are to prepare students for college and their future. Throughout most of formal education’s history, the purpose of education has been to prepare its citizens. The question once asked was, what should a student know to become an educated citizen. Historically, education prepared one for college or career, certainly, but more broadly, for life....   [tags: Education, School, Teacher, High school]

Research Papers
716 words (2 pages)

- Introduction to prepare for advanced math solutions: Mathematics is mainly considered as the main branches of science. Normally all the mathematical operations like addition, division, multiplication as well as subtraction are easy to do in case of simple problems. Prepare for advanced math problems solution is simple and easy. In this session, we will see how we have to prepare for advanced math solution. Prepare for advanced math solutions: Example problem 1- Prepare for advanced math solutions Calculate the equation of the line using the points (5, - 5) and (4, 1) that passes through the line....   [tags: Math]

Research Papers
878 words (2.5 pages)

## Essay about Introduction to Solve Math Problems Deductive Reasoning

- Introduction to solve math problems deductive reasoning Deductive reasoning is one of the two essential forms of suitable reasoning. The reasoning constructs or evaluates deductive reasoning. While deductive reasoning argues from the general to exacting , similarly inductive reasoning argues from the specific to a general instance. Deductive arguments may be valid or invalid,and sound or unsound, but that are not true or false. Whenever we turn up for the conclusion using facts, definitions, rule, or properties, then it is so called Deductive Reasoning....   [tags: Math]

Research Papers
508 words (1.5 pages)

## Math Investigation of Painted Cubes Essay

- Math Investigation of Painted Cubes Introduction ============ I was given a brief to investigate the number of faces on a cube, which measured 20 small cubes by 20 small cubes by 20 small cubes (20 x 20 x 20) To do this, I had to imagine that there was a very large cube, which had had its outer surface painted red. When it was dry, the large cube was cut up into the smaller cubes, all 8000 of them. From there, I had to answer the question, 'How many of the small cubes will have no red faces, one red face, two red faces, and three faces?' From this, I hope to find a formula to work out the number of different faces on a cube sized 'n x n x n'....   [tags: Papers]

Free Essays
2967 words (8.5 pages)

## Math Hidden Faces Investigation Essay

- Math Hidden Faces Investigation In this coursework I would be investigating the number of hidden faces in different cubes and cuboids. I would provide predictions to make sure I get the right results. After that I would provide diagrams of the cubes and I would explain how I found it. In each section of a set of cubes I would provide formula's that I would find. I would also give information that the pattern carries on. The reason why I am doing this investigation about cubes is because to find the hidden faces and total faces which would be added near the diagrams....   [tags: Papers]

Free Essays
1036 words (3 pages)

## Essay about Beyond Pythagoras Math Investigation

- Beyond Pythagoras Math Investigation Pythagoras Theorem: Pythagoras states that in any right angled triangle of sides 'a', 'b' and 'c' (a being the shortest side, c the hypotenuse): a2 + b2 = c2 [IMAGE] E.g. 1. 32 + 42= 52 9 + 16 = 25 52 = 25 2. 52+ 122= 132 3. 72 + 242 = 252 25 + 144 = 169 49 + 576 = 625 132 = 169 252 = 625 All the above examples are using an odd number for 'a'. It can however, work with an even number. E.g. 1. 102 + 242= 262 100 + 576 = 676 262 = 676 N.B....   [tags: Papers]

Free Essays
1011 words (2.9 pages)

## Math Borders Investigation Essay

- Math Borders Investigation Figure below shows a dark cross-shape that has been surrounded by white squares to create a bigger cross-shape; The bigger cross-shape consists of 25 small squares in total. ------------------------------------------------------------- The next cross-shape is always made by surrounding the previous cross-shape with small squares. Part 1- Investigate to see how many squares would be needed to make any cross-shape built in this way. Part 2- Extend your investigation to 3 dimensions....   [tags: Papers]

Free Essays
1602 words (4.6 pages)

### Popular Essays

Mathematical Article
====================

Title of Article: Birth rate falls in developing world

Source: The Straits Times

Date of Publish: 28 Jan 2005

have decreased in developing countries. It goes on to give possible
reasons for and explain why this sudden decrease has occurred, e.g.
increased use of contraception in both developed and developing
countries as well as later marriages and thus later parenthood. The
article also points out what possible consequences this trend might
have, and what measures the Singapore government has taken to combat
the problem. [Total: 75 words]

Mathematical Content

average fertility rate, the percentage of those single and the
percentage of those who use contraception and practice family
planning. These numbers clearly show that there is a strong
correlation between lowered fertility rate, increased percentage of
singles, increased number of late marriages and increased use of
contraception. As the number of people practicing contraception and
number of couples marrying later in life increase, the fertility rate
naturally decreases.

Strengths and Weaknesses

I was quite impressed by the article and the graphs provided. The
graphs are clear and well-labeled, two important characteristics of a
good graph. The graphs also made good use of colour to compare the
differences between 1970 and 2000. The graphs were also captioned with
appropriate headings, and the key and scale used were accurate and
adequate, which are another two features of a good graph. The
information presented was also well-researched and it also came from a
trustworthy source, the United Nations’ World Fertility Report of
2003. The only possible improvement that I could think of would be to
enlarge the graphs as they are a bit on the small side. However, this
may not be too feasible, as the graphs are still readable and the
larger graphs may not fit or take up too much space.

What can we see from the graphs?
--------------------------------

From the graphs, we can see that the general total fertility around
the world has dropped substantially in both developed and developing
countries during the time frame from 1970 to 2000. We can see from the
second graph that the fertility rates have dropped more drastically in
Asia and Latin America than in Africa and Europe. We can also see that
Europe has quite a low fertility rate while Africa’s is very high.
From the third and fourth graphs, we can see that Singapore’s
fertility rate has dropped significantly since 1970. We can also see
that the age-specific fertility rate for all age groups has dropped,
most notably in the 20-24 and 25-29 year age groups.

Real-world application

population explosion anticipated years ago has not happened, and
instead declining birth rates have come up. This decline in fertility
and birth rates has been a result of increase in use of contraception,
later marriages and government policy. For example, we can see that
the Singapore government’s two-child policy has resulted in an
irreversible trend of lowering fertility rates. This indicates that
the government was perhaps too successful in its goals, and maybe it
should consider more closely the next time it decides to embark on a
campaign.