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INTRODUCTION TO ANGLES AND ANGLE PROPERTIES. AUDIO

Good morning everyone, clink on the audio link below to have an indepth and clear explanation about the introduction to angles and angle properties. https://drive.google.com/file/d/1LMnPpUP2LdXSkHUsV6vnL8VWRtnhFGVm/view?usp=drivesdk

BENEFITS OF MATHEMATICS

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  Mathematics is a very important subject, because it offers many benefits that extend beyond academics and are applicable to various aspects of everyday life. People often think mathematics is not important, but mathematics plays a crucial role in one's life. Here are a few benefits of mathematics: 1). Improves Problem-Solving Skills . Mathematics teaches logical thinking and systematic problem-solving. By working through equations and all types of mathematical problems one can think of, a person develops the ability to analyze situations, break down mathematical problems into smaller parts and find solutions to those problems. These skills can be used in everyday life, helping in decision making, planning and trouble shooting. 2). It improves or enhances critical thinking. It helps with the recognition of patterns, forming conjectures, and developing proofs which foster critical thinking. Mathematics helps train the brain to approach problems logically and methodically, making it...

PROBABILITY AND STATISTICS

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PROBABILITY In simple terms, probability simply refers to how likely something is to happen. If something has a low probability, it is unlikely to happen but if something has a high probability, it is likely to happen. Probability is commonly shown as a fraction. FOR EXAMPLE: Selecting one marble at random from a bag containing 4 blue marbles, 5 red marbles, 1 green marble and 2 black marbles. The probability of selecting a blue marble is 4/12 or written in its simplest form 1/3. STATISTICS Statistics in mathematics is a topic that deals with the study of collecting, analyzing, interpreting, presenting, and organizing data in a particular manner. Statistics is all about dealing with a large group of numbers that has to be sorted out. UNDERSTANDING MEASURES OF CENTRAL TENDENCY (MEAN, MEDIAN, MODE, RANGE).  When working with numbers one should be able to find the central tendencies, here are the definitions of the tendencies: 1). Mean - To find the mean, you have to add up all the d...

MENSURATION

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MENSURATION: Mensuration is a division of mathematics that studies geometric figure calculation and its parameters such as area, length, volume, lateral surface area, surface area, etc. Mensuration deals with the size, region, and density of different forms both 2D and 3D. WHAT IS A 2DIMENSIONAL SHAPE? A 2D diagram is a shape laid down on a plane by three or more straight lines or a closed segment. Such forms do not have width or height; they have two dimensions-length and breadth and are therefore called 2D shapes or figures. Of 2D forms, area (A) and perimeter (P) can be calculated.   WHAT IS A 3DIMENSIONAL SHAPE? A 3D shape is a structure surrounded by a variety of surfaces or planes. These are also considered robust types. Unlike 2D shapes, these shapes have height or depth; they have three-dimensional length, breadth and height/depth and are thus called 3D figures. For 3D shapes, Volume (V) can be calculated as well as the Total Surface Area (TSA). These are the following form...

TRANSFORMATIONS

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  Transformations in mathematics refers to the operations/processes that change the position, size, or shape of a figure in a coordinate plane or space. It also describes how two-dimensional shapes or figures move around plane or coordinate system. Transformations are foundational in geometry and are often studied in the context of algebra and trigonometry as well. Here are the main types of transformations: Translation, Rotation Reflection Enlargement 1). Translation Translation moves a shape left, right, up or down but it does not turn. It moves the shape or figure in a straight line from one location to another without changing its shape, size, or orientation.  2). Rotation Rotation is very different from translation, because in rotation, the image, shape or figure turns around a fixed point (called the center of rotation), by a certain angle and direction (clockwise or counterclockwise). Although the shape is being turned around, the size of the shape does not change at a...

DATA HANDLING

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  Handling of data can be done in so many mathematical ways, for one to understand the information that is being recorded. Data handling refers to the process of managing and manipulating data to ensure its accurate, secure, and accessible for analysis. Before data has to be recorded, one has to go through the processes of data collection, data processing, data analysis etc., then only can data be recorded, shared or visualization. Data/information can be recorded in various ways, here are a few ways data can be visualized in mathematics. Bar graphs/chart Line graphs Tally charts Pie charts The Bar chart/graph This chart helps to compare discrete categories or groups of data that has been collected by the researchers. It also helps to show the frequency distribution, categorical comparisons. Example: A bar chart can be used to represent the number of students achieving different grade ranges. Line Graph Line graphs can be used in various was regarding the mathematical context. A li...