...Geometry Manipulative Handout Joan L. Holyfield Math/157 March 8, 2015 Instructor: James Paga Geometry Manipulative Handout The geometry manipulative that I chose to present is how to make a Geo City. With making a Geo City, it teaches students in grades 3-5. This math exercise encompasses learning and identifying cubes, pyramids, cones, rectangular and other shapes in different sizes which are appropriate for this age group. This activity can be done in a group setting, with each child having a share in identifying different geometrical shapes, and putting them in a real-world setting. By using these different geometric shapes to construct buildings and cars, the children will learn about spatial visualization, location and coordinate points, and transformation. The Geo City will help to reinforce the relationships with two and three-dimensional shapes that have already been learned in previous classes. The students will also be able to explore the effects of rotating, reflecting, and transforming shapes. The Geo city also lends itself to real world application by simulating a city block that they may find in their neighborhood. Then they can begin to understand how the geometric shapes are a part of their everyday lives. Constructing the Geo City also helps the children with their mapping and graph skills, because they will be using both to first, decide how to design the city (using graph paper or geo dot paper), then by deciding where to put the houses...
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...Geometry Manipulatives MTH 157 April 6, 2015 Lynn Shevelenko Geometry Manipulatives I used www.geogebra.org and I used it to manipulate the shapes and I used it to create shapes as well. These tools are great, I think I can see being able to use them in the classroom setting I think that this tool will be something that is very helpful for students to learn how to create shapes and how to turn one shape into another. I will use this tool to have them make a shape and then have one of the other students take that shape and turn it into another shape. I would also have them do this in a setting without the tool, I would have one student draw a shape, and then have another student use their pencil to change the shape by using a different color pencil and have it go around the circle to see how many shapes they could make with the one starting shape. With little kids I feel that it is important to have as many interactive activities as possible just because it is a fun way for them to learn, and I think that it would be a good way for them to remember the activity and remember how they did what they did with the coloring in groups. Group activities are also a fun way for kids to learn. It is another interactive way for students to learn as well as get some energy out of their systems so that way recess is not the only time the get to run around and get their energy out. I think that the www.geogebra.org website is a great way for the kids to have an interactive experience...
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...New York State Common Core Mathematics Curriculum GEOMETRY • MODULE 1 Table of Contents1 Congruence, Proof, and Constructions Module Overview .................................................................................................................................................. 3 Topic A: Basic Constructions (G-CO.1, G-CO.12, G-CO.13).................................................................................... 7 Lesson 1: Construct an Equilateral Triangle ............................................................................................. 8 Lesson 2: Construct an Equilateral Triangle II ........................................................................................ 16 Lesson 3: Copy and Bisect an Angle........................................................................................................ 21 Lesson 4: Construct a Perpendicular Bisector ........................................................................................ 30 Lesson 5: Points of Concurrencies .......................................................................................................... 37 Topic B: Unknown Angles (G-CO.9) ..................................................................................................................... 43 Lesson 6: Solve for Unknown Angles—Angles and Lines at a Point ....................................................... 44 Lesson 7: Solve for Unknown Angles—Transversals .................................
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...PLACE PHOTO HERE, OTHERWISE DELETE BOX In Balance Wellness Club Healthy body, mind & spirit… * Separate female and male spacious Spa rooms with Jacuzzi’s * Steam and Sauna * Separate Meditation, Yoga and Aerobics space * Exercise studio/Gymnasium * Coaching studios * Swimming pool * Changing rooms with showers * Lounge corner/ Conference Room * Squash Court * Pool / Billiard, Table Tennis * Personal lockers * Library * Café * Parking Facilities at In Balance Defence Phase 6, Lahore, Pakistan www.InBalance.com InBalance@hotmail.com (92)-042-35885725 (92)-042-35885727 In Balance Wellness Club The Brain Gym is a new concept being introduced and it basically involves Brain Gym exercise equipments like the NeuroActive Bike and simple exercise movements helping in stimulating mental cognitions which as a whole refer to the, educational model of drawing out and honoring the individual, value of goal setting and noticing, importance of movement as it relates to optimal living and learning. The Brain Gym will be aimed at bringing improvements in areas of; * Concentration and Focus * Memory * Academics: reading, writing, math, test taking * Physical coordination * Relationships * Self-responsibility * Organization skills * Attitude Wellness Centre includes: * Lifestyle coaching * Professional nutritional and health counseling * Childcare courses for...
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...Human rights are "commonly understood as inalienable fundamental rights to which a person is inherently entitled simply because she or he is a human being."[1] Human rights are thus conceived as universal (applicable everywhere) and egalitarian (the same for everyone). These rights may exist as natural rights or as legal rights, in local, regional, national, and international law. Peace education is the process of acquiring the values, the knowledge and developing the attitudes, skills, and behaviors to live in harmony with oneself, with others, and with the natural environment. i•de•ol•o•gy (ˌaɪ diˈɒl ə dʒi, ˌɪd i-) n., pl. -gies. 1. the body of doctrine or thought that guides an individual, social movement, institution, or group. 2. such a body forming a political or social program, along with the devices for putting it into operation. 3. theorizing of a visionary or impractical nature. 4. the study of the nature and origin of ideas. 5. a philosophical system that derives ideas exclusively from sensation Distance Formula The distance formula can be obtained by creating a triangle and using the Pythagorean Theorem to find the length of the hypotenuse. The hypotenuse of the triangle will be the distance between the two points. The subscripts refer to the first and second points; it doesn't matter which points you call first or second. x2 and y2 are the x,y coordinates for one point x1and y1 are the x,y coordinates for the second point d is the distance...
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...2015 NCAA Division I Initial-Eligibility Current Status Report DI Core Course GPA 3.13 DI SAT/ACT Scores* Score Qualifier DI Core Course Credits Completed Required Needed SAT Score ACT Score None None 570 49 Total Core Course Credits 16 16 0 Grade Points Key: A=4, B=3, C=2, D=1 / # = Weighted Points (d) = Course for students with a diagnosed disability / (t) = Transfer course from another school English Courses Course Grade Points Quality Pts Credits Credits Required Credits Needed ENGLISH 3 ENGLISH 4/H ENGLISH 1 ENGLISH 2 Totals A A C C 4 4 2 2 4 4 2 2 12 1 1 1 1 4 4 0 Math Courses Course Grade Points Quality Pts Credits Credits Required Credits Needed ALGEBRA 2 PRE-CALCULUS GEOMETRY Totals A A B 4 4 3 4 4 3 11 1 1 1 3 3 0 Natural/Physical Science Courses Course Grade Points Quality Pts Credits Credits Required Credits Needed BIOLOGY 1 CHEMISTRY 1 Totals B B 3 3 3 3 6 1 1 2 2 0 Extra English/Math/Science Courses Course Grade Points Quality Pts Credits Credits Required 1 Credits Needed 0 ALGEBRA 1 Totals C 2 2 2 1 1 Social Science Course Grade Points Quality Pts Credits Credits Required Credits Needed AFRICAN AMERICAN HISTORY WORLD HISTORY Totals A C 4 2 4 2 6 1 1 2 2 0 Additional Core Courses Course Grade Points Quality Pts Credits Credits Required Credits Needed FRENCH 1 FRENCH LANGUAGE/AP FRENCH 3/H EARTH/SPACE SCIENCE Totals...
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...Background I am a teacher at Greenpoint High School in the Northern Cape . The school is situated in Greenpoint in Kimberley and it is from gr. 8 to gr. 12 . Greenpoint is a coloured area and the people are very ,poor, jobless and uneducated. Most of the learners have only a single parent or are raised by the grandmother or family. Many learners are using drugs and alcohol and every one out of ten schoolgirl are pregnant. We encounter many discipline problems and not all the teachers are capable to deal with this learners. Our learner total are 920 and the teachers are 26 . The school have a teacher and classroom shortage . There are many social problems at the school and they are struggling mostly with Mathematics . Our feeder school is the local primary school and the total of the gr. 8 learners are near 300 every year. These Gr. 8 learners are very weak in Mathematics and the class sizes are 50 and more. The Gr 9 classes are also very big and most of them pass not Mathematics at the end of the year , but been condened to Gr. 10 . Usually there are only one gr. 10, 11 and Gr.12 class for Mathematics. The passrate for Mathematics in Gr. 9 are so poor that only 10 % of the learners can do pure Mathematics , The rest of the learners should do Mathematical Literacy. The Maths learners are not commited and only a few pass at the end of Gr. 10 . JUSTIFICATION When the grade 8 learners came to our school they usually struggle with Mathematics .The can`t...
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...notice about both sides of the line? 4What geometrical term is used to describe this characteristic? The mouth parts of an insect can be put into two major types - * biting and chewing * Sucking, this can also include piercing or lapping. How does this affect the geometry of the insect's mouth structure? Give two examples of insects with each type of mouth structure. They are bilaterally symmetric meaning that they are same on both sides of the body 5. Often times we look as insects at things that "bug you" or are a nuisance, but they are an important part of the world three surround you. Why are insects important in our world? Interior angle of a triangle add up to 180 degrees 6. What are polygons? What does it mean to have a closed polygon? A simple polygon? A regular polygon? A polygon is a figure with at least three straight sides and angles. Its means all sides are connected and there no curved side. 7. What is an interior angle of a polygon? Is there a formula for finding the measure of an interior angle of a regular polygon? Interior angle of triangle add up to 180◦ 8. How does geometry influence the lives of biologists and artists? Why would knowing and being able to work with geometry make their work more interesting and sometimes easier? The branch of mathematics that is concerned with the properties and relationships of...
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...As the author is a student herself, she knows that there are factors that affect the proficiency of students in learning and understanding different branches in Mathematics like the educational background, choosing internet over studying, playing computer games like DOTA(Defense of the Ancient), preferring to watch televisions, and sleeping. But as the years go by, since all fourth year students will be experiencing the undertakings of different entrance examinations in different universities and colleges, they all need to know each student’s proficiency in Mathematics. And due to the writer’s curiosity, she wanted to assess the ability of seniors in the different fields of Mathematics, namely, Elementary Algebra, Intermediate Algebra, Geometry, and Trigonometry. STATEMENT OF A PROBLEM This study aims to determine the factors that affect the proficiency of St. Benedict School Of Novaliches’ seniors in Mathematics. The main problem is stressed out by the researcher into three(3) subproblems, namely, 1.) To know if the Seniors are mathematically proficient; 2.) To know the different factors that affects the proficiency of the Seniors; and lastly, To know if the given factors really affect the proficiency of the students. SIGNIFICANCE OF THE STUDY This research undertaking will benefit the following: 1.) The fourth year students who will be taking the entrance examinations for this study will give them an insight about their ability, and the results will help them improve...
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...Making Geometry Fun with Origami Lucila Cardenas Vega University of Texas at Brownsville Introduction Teachers must have an understanding of students’ mathematical thinking in order to create meaningful learning opportunities. This becomes more relevant when teaching subjects that not all students have an interest for, such as, geometry. Since geometry is the study of shapes and configurations, it is important to understand how a student thinks about the different properties in geometry including, symmetry, congruence, lines and angles. Students remember a lesson better and the information becomes more significant when learning is accessed through hands on activities. (Pearl, 2008). Origami is the art of transforming a flat sheet of material into a finished sculpture through folding and sculpting techniques. The use of origami can be thought of as art; however, there are so many other benefits of incorporating origami in geometry lessons. According to experts, origami teaches students how to follow directions, encourages cooperation among students, improves motor skills and it helps develop multi-cultural awareness (Weirhem, 2005). Origami activities used in geometry lessons reinforces vocabulary words, facilitates the identification of shapes and simplifies congruency and symmetry (Pearl, 2008). In origami, students take a flat piece of paper and create a figure that is three dimensional. The use of origami in geometry is not new. Friedrich Froebel, the founder...
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...Pythagorean Quadratic Treasure Hunters Pythagorean Quadratic Treasure Hunters Introduction to Algebra Treasure Hunters Ahmed and Vanessa both have possession of one half of a complete treasure map. Ahmed’s map shows the treasure is buried in the desert 2x + 6 paces from Castle Rock. Vanessa’s map shows the treasure buried at x paces to the north and 2x + 4 paces to the east. When the two combine information, the location of the buried treasure is going to be a lot easier to find and they can share in the booty loot that they discover. Castle Rock is the lowest left point of the hypotenuse and at the bottom of the left leg and the treasure is at the furthest right point of the right leg. To factor the equation we start with the following, X2+(2x + 4)2 = (2x+6)2 Using the Pythagorean Theorem, a2+2ab+b2 i get a compound X2 +(4x216x+16)=4x2+24x+36 equation. It is then necessary to simplify using the quadratic 5x2+16x+16=4x2+24x+36 equation ax2-bx+c=0 so that I can factor. (x2+2)(x-10)=0 everything is set to zero for the zero factor X = 10 solve for x Plugging the x value for a, b, and c to the legs or the hypotenuse and what this does is it gives me the equation of how many paces it is to the treasure A= 10 B=2(10)+4 = 20+4 = 24 C=2x+6 = 2(10)+6 = 26 In conclusion, castle rock is located at the bottom left of a right hand triangle, and the treasure is 26 paces northeast of Castle...
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...Reginald Moore September 16, 2015 Art Appreciation The ‘Duho’ mask, which means hawk (or sometimes duha, meaning vulture) is a spiritual sculpture to encounter with spirits who materializes in animal form. In Bwa society, the identification and continued well-being of a family are often tied to a natural spirit. Upon consulting a priest, a family may commission a sculpture to embody that nature spirit. The masks appear at important funerals to honor the dead and escort their soul to the world beyond. The mask is the object of family pride and is an unofficial means of representing its prosperity and influence. This mask consists of many styles and paint mixtures. The wings of the primarily two-dimensional hawk mask are usually simply decorated with the paint. The face of the hawk has been reduced to basic geometric forms. A triangle defines the ‘face’ and contains a mouth and two sets of circles for eyes. The outwardly projecting beak and the hook at the top of the overall nature of this nature spirit representation. Bold geometric shapes repeated in brightly painted designs are often added to the surfaces of these relatively abstract forms. The hawk mask’s horizontal span extends about five feet wide; the wingspan of a related representation of the butterfly may be up to six or seven feet. The mask itself is a directional force because the length of the wings. It has gigantic circle going across the mask, which makes me look towards the beck and then the rest of the...
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...M.C. Escher explored and displayed a wide range of mathematical ideas. While in school Escher’s family had the hope of him fallowing in his fathers footsteps of architecture. Escher did not do well in school but he did have the talent for drawing and design. Maurits Cornelis Escher studied at the Architecture and Decorative Arts located in Haarlem, Netherlands. From here he was able to develop an interest in graphics and worked in woodcut. He spent many years traveling throughout Europe sketching the surroundings. He was not known until he was featured in Time magazine. From then on he created a reputation. Many of his admirers happened to be mathematicians. The mathematicians found his work to be extraordinary visualization of mathematical...
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...next day. I guess you can say that this is where my love for math started. I am not saying that I never had to study or that I have never struggled with any math in my life, but for the most part, most of the math classes I have taken in my life have come pretty easily to me. I love when you are struggling with something in math and all of a sudden you have that a-ha moment where everything suddenly makes sense. In the past I have taken all the basics in math including Algebra and Geometry. However, these courses were also taken almost 20 years ago, and I have to admit that I am a bit rusty when it comes to all of the formulas and properties. Even though I may not remember all of the formulas, I still consider my previous courses a success. I may not remember the exact formula, but I do remember that the formulas exist and it is just a matter of looking the formula up and plugging in the right numbers to get the correct answer. For example, I remember how I used to love doing proofs in geometry, the longer the better. I probably could not jump right into one of those long proofs now, but I don’t think it would take me long to get back to being able to solve one. This is because math is always the same. It is not like English where the rules are always changing. Two plus two will always be four, and this is...
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...right display for data; how to compute means, medians, and modes; how to choose the most appropriate average; how to find the measures of spread; and how to identify outliers. Understanding the mean as a balance. Comparing different sets of data. The different variations of mean absolute deviation, variance, and standard deviation. While working in chapter eleven I learned the basic notions, planar notions, angles and angle measurement, and types of angles. I also learned about perpendicular lines, polygons, congruent segments and angles, triangles and quadrilaterals, how to construct parallel lines, how to find the sum of measures of the angles of triangles; and the sum of measures of interior and exterior angles of a convex polygon. The geometry of three-dimensional figures such as polyhedra, cylinders, and cones. While working in chapter twelve I learned the...
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