Describe different spatial figures. The Competency is based on Curriculum Guide in Third Quarter Elementary Mathematics. A PowerPoint presentation for Grade 6 Pupils.
The document defines and describes different types of quadrilaterals including squares, rectangles, rhombus, trapezoids, and parallelograms. It provides characteristics of each shape such as the number of sides, angles, and whether the sides are equal in length or parallel. A variety of activities are presented to help students identify, compare, and classify the different quadrilaterals.
Q3-Week 5_Math 5 (Spatial or Solid Figures).pptxJaypee Tillor
The document discusses different types of 3D geometric shapes known as spatial or solid figures. It defines spatial figures as 3D shapes made up of joined 2D plane figures and lists examples such as cubes, cylinders, cones, prisms, pyramids, spheres, and rectangular prisms. The text then proceeds to define the key features of specific 3D shapes like cubes, triangular and rectangular prisms, square and triangular pyramids, cylinders, cones, and spheres. It concludes by instructing students to make one spatial figure of their choice using supplied materials like colored paper, scissors, and glue.
This document defines and provides examples of various 3D and 2D shapes. It discusses 3D shapes like cubes, spheres, cones and cylinders. It explains they have dimensions of length, width, height and describes features like faces, edges, vertices and surfaces. It also defines 2D shapes such as triangles, rectangles, circles and discusses their sides, angles and other properties. Various properties of lines, angles and symmetry are also outlined.
This document defines key vocabulary terms for triangles and quadrilaterals, including different ways to classify triangles based on side lengths and angle measures. It also defines various types of quadrilaterals such as trapezoids, parallelograms, rectangles, rhombuses, and squares based on their properties. The document provides educational reference information about geometric shapes.
A solid figure occupies space and has length, width and height. It has flat surfaces called faces and lines where faces meet called edges. The point where edges meet is a vertex. Prisms have two parallel congruent polygon bases and rectangular faces joining the bases. Pyramids have one polygon base and triangular faces joining at a common vertex. Some solids like cylinders, cones and spheres have curved surfaces instead of faces.
Math iv finding the area of an irregular figuresCristy Melloso
To find the area of an irregular figure, one must first divide it into recognizable regular shapes like rectangles and squares. Then, the area of each individual shape should be calculated and added together to find the total area. The key steps are: 1) dividing the irregular shape into regular ones, 2) finding the area of each part, and 3) adding all areas together.
http://bit.ly/1LTzAo6
This video describes what are integers. It also shows how integers are represented on a number line.
For a full FREE video on Integers, please visit http://bit.ly/1LTzAo6
The document describes a repeating pattern of shapes that follows the sequence: circle, small circle, triangle, rectangle, square circle, square, big square, rectangle, rectangle, square circle. Participants are asked to continue the pattern on their whiteboards and see how far they can go in repeating the sequence.
The document defines and describes different types of quadrilaterals including squares, rectangles, rhombus, trapezoids, and parallelograms. It provides characteristics of each shape such as the number of sides, angles, and whether the sides are equal in length or parallel. A variety of activities are presented to help students identify, compare, and classify the different quadrilaterals.
Q3-Week 5_Math 5 (Spatial or Solid Figures).pptxJaypee Tillor
The document discusses different types of 3D geometric shapes known as spatial or solid figures. It defines spatial figures as 3D shapes made up of joined 2D plane figures and lists examples such as cubes, cylinders, cones, prisms, pyramids, spheres, and rectangular prisms. The text then proceeds to define the key features of specific 3D shapes like cubes, triangular and rectangular prisms, square and triangular pyramids, cylinders, cones, and spheres. It concludes by instructing students to make one spatial figure of their choice using supplied materials like colored paper, scissors, and glue.
This document defines and provides examples of various 3D and 2D shapes. It discusses 3D shapes like cubes, spheres, cones and cylinders. It explains they have dimensions of length, width, height and describes features like faces, edges, vertices and surfaces. It also defines 2D shapes such as triangles, rectangles, circles and discusses their sides, angles and other properties. Various properties of lines, angles and symmetry are also outlined.
This document defines key vocabulary terms for triangles and quadrilaterals, including different ways to classify triangles based on side lengths and angle measures. It also defines various types of quadrilaterals such as trapezoids, parallelograms, rectangles, rhombuses, and squares based on their properties. The document provides educational reference information about geometric shapes.
A solid figure occupies space and has length, width and height. It has flat surfaces called faces and lines where faces meet called edges. The point where edges meet is a vertex. Prisms have two parallel congruent polygon bases and rectangular faces joining the bases. Pyramids have one polygon base and triangular faces joining at a common vertex. Some solids like cylinders, cones and spheres have curved surfaces instead of faces.
Math iv finding the area of an irregular figuresCristy Melloso
To find the area of an irregular figure, one must first divide it into recognizable regular shapes like rectangles and squares. Then, the area of each individual shape should be calculated and added together to find the total area. The key steps are: 1) dividing the irregular shape into regular ones, 2) finding the area of each part, and 3) adding all areas together.
http://bit.ly/1LTzAo6
This video describes what are integers. It also shows how integers are represented on a number line.
For a full FREE video on Integers, please visit http://bit.ly/1LTzAo6
The document describes a repeating pattern of shapes that follows the sequence: circle, small circle, triangle, rectangle, square circle, square, big square, rectangle, rectangle, square circle. Participants are asked to continue the pattern on their whiteboards and see how far they can go in repeating the sequence.
Solves Multi- step Routine and Non-routine Problems involving Division and an...Nerisa Herman
solve multi-step routine and non-routine problems involving division and any of the other operations of decimals, mixed decimals, and whole numbers including money using appropriate problem solving strategies and tools. M6NS-If-113.3
This document discusses and groups 2-D shapes. It defines a square as having four equal sides and four corners. A rectangle is described as having a rectangular face with four straight sides and four corners, though two sides are longer than the others. Triangles, ovals, and circles are also listed as 2-D shapes. Key terms related to 2-D shapes include curved sides, faces, straight sides, and corners.
This document provides examples and instructions for multiplying mixed decimals. It explains that when multiplying a mixed decimal by a whole number or another mixed decimal, you multiply as usual but pay attention to the number of decimal places in the factors and product. The product should have the same number of decimal places as the total number of decimal places in the factors. Several word problems involving rates and distances are solved as examples using multiplication of mixed decimals.
IDENTIFYING AND DESCRIBING TRIANGLES ACCORDING TO SIDES AND ANGLEjonalyn shenton
The document discusses triangles and their classification. It begins by asking questions to establish that triangles have 3 sides and 3 angles, while quadrilaterals have 4 sides and 4 angles. It then defines the different types of triangles based on their angles (right, acute, obtuse) and their sides (equilateral, isosceles, scalene). Several key points are made, such as triangles being the strongest shape and most commonly used in construction due to their ability to hold their shape and provide support. The document provides examples and diagrams to illustrate each type of triangle. It concludes by assigning an art project to create something using different types of triangles.
The document discusses ratios and proportions. It defines ratios as a comparison of two quantities that can be written as fractions using a colon or fraction form. It provides examples of setting up and solving ratios and proportions. Key points covered include: writing ratios in lowest terms, setting up cross multiplication to solve proportions, and using variables like n as unknowns to solve for in proportions.
A polygon is a plane figure bounded by straight line segments that meet at vertices to form a closed chain or loop. The line segments are called edges or sides, and the points where two edges meet are the polygon's vertices or corners. Regular polygons have equal sides and angles, while irregular polygons do not have equal sides and angles.
Joseph is planning to make a geometric collage of a volcano. He has a piece of navy blue cloth that is 17 cm long and 15 cm wide. He plans to cut it diagonally into two triangles. The document discusses deriving the formula for finding the area of a triangle. It states that the area of a triangle is equal to one-half base times height. It works through an example of finding the area of one of the triangles formed from Joseph's cloth, which is 127.5 cm^2. The document provides practice problems for readers to find the area of additional triangles.
The document discusses surface area of 3D solids including prisms, pyramids, and cylinders. It defines total surface area, lateral surface area, and provides formulas for calculating the surface area of different solids. An example problem compares the surface area of a can and box, and another calculates the surface area of the glass pyramid at the Louvre museum entrance.
This document discusses the volume computation of different solid figures including prisms, pyramids, cones, cylinders, and spheres. It provides examples of calculating the volume of each type of solid figure. For prisms, the volume is calculated as V=Bh, where B is the area of the base and h is the height. For pyramids and cones, the volume is calculated as V=1/3Bh. For spheres, the volume is calculated as V=4/3πr^3, where r is the radius of the sphere.
The document provides guidelines for proper online meeting etiquette such as arriving to the meeting early, dressing appropriately, keeping your camera on, muting your mic when not speaking, listening attentively, and using the chat or raise hand features to contribute. It emphasizes respecting others and following instructions from the teacher. The document also includes questions about shapes asking students to identify different types of triangles and quadrilaterals based on their properties.
The document defines and provides examples of the six main types of angles: acute angles which are less than 90 degrees; right angles of 90 degrees; obtuse angles between 90 and 180 degrees; straight angles of 180 degrees; reflex angles between 180 and 360 degrees; and complete angles of 360 degrees. Examples are given for each type of angle to illustrate their defining characteristics and measures.
Strategic Intervention Material (SIM) Mathematics-TWO-COLUMN PROOFSophia Marie Verdeflor
The document provides instructions for writing two-column geometric proofs. It explains that a two-column proof consists of statements in the left column and reasons for those statements in the right column. Each step of the proof is a row. It then gives examples of properties that can be used as reasons, such as angle addition postulate, congruent supplements theorem, and triangle congruence postulates. Sample proofs are also provided to illustrate the two-column format.
The document discusses the circumference of circles. It defines circumference as the distance around a circle and diameter as the distance across a circle. It presents the formula for circumference which is C=πd, where C is circumference, d is diameter, and π is approximately 3.14. Several examples are given of using the formula to calculate the circumference given the diameter. The document also discusses using the alternative radius-based formula, C=2πr, to find circumference when given the radius instead of the diameter.
A quadrilateral is a polygon with four sides. There are several types of quadrilaterals that can be identified by their angles and the lengths of their sides, including squares, rectangles, rhombi, parallelograms, and trapezoids. A square has four equal sides and four right angles. A rectangle has two long sides and two short sides with four right angles. A rhombus has four equal sides but two acute and two obtuse angles. A parallelogram has two pairs of parallel sides with two acute and two obtuse angles. A trapezoid has one pair of parallel sides.
The document provides information about different types of quadrilaterals and triangles, including their definitions, properties, and how to calculate their perimeters and areas. It defines squares, rectangles, parallelograms, rhombi, trapezoids, kites, and triangles. It explains key properties such as equal or parallel sides, right angles, and intersecting diagonals. It also shows examples of how to calculate perimeters by adding side lengths and areas using formulas like length x width for rectangles or (base x height)/2 for trapezoids.
The document discusses the benefits of exercise for mental health. Regular physical activity can help reduce anxiety and depression and improve mood and cognitive function. Exercise causes chemical changes in the brain that may help protect against mental illness and improve symptoms.
The document explains how to calculate the area of a circle. It first discusses the difference between circumference and area. It then shows how a circle can be cut up and rearranged to form a parallelogram. This allows the area formula for a parallelogram, Area = Base x Height, to be used. The base is equal to half the circumference which is equal to radius x pi. The height is equal to the radius. Therefore, the area of a circle is equal to the radius squared times pi. Some examples are provided to illustrate calculating the area of different circles using this formula.
This document defines and provides examples of different types of polygons. It explains that a polygon is a closed figure made of line segments that intersect exactly two others. It then defines regular and irregular polygons, as well as different types of triangles, quadrilaterals, pentagons, hexagons, and other polygons. Key details like the number of sides and sum of interior angles are provided. Examples of both regular and irregular shapes are shown.
Grade 6 Third Quarter Mathematics - Visualizing Solid Figures.pptxMARYANNSISON2
The document discusses visualizing solid figures through identifying their key characteristics such as number of faces, edges, and vertices. It provides examples of different plane and solid figures, describing properties like spheres having one curved face and no edges or vertices, while cubes have six square faces, eight vertices and twelve edges. The document also contrasts polyhedrons which have flat surfaces from solids like spheres with curved surfaces. Students are asked questions to test their understanding of classifying shapes based on these dimensional and geometric properties.
This document provides information about classifying and identifying three-dimensional geometric figures. It defines solid figures as having length, width and height and being able to stand on their own. Various solid figures are described, including polyhedrons with flat faces that can be polygons, as well as curved solids like cylinders and cones. Specific polyhedrons discussed include prisms, which have two congruent bases, and pyramids, which have one base. Prisms and pyramids are further classified based on their base shapes. The document also defines key elements of solid figures like faces, edges and vertices.
Solves Multi- step Routine and Non-routine Problems involving Division and an...Nerisa Herman
solve multi-step routine and non-routine problems involving division and any of the other operations of decimals, mixed decimals, and whole numbers including money using appropriate problem solving strategies and tools. M6NS-If-113.3
This document discusses and groups 2-D shapes. It defines a square as having four equal sides and four corners. A rectangle is described as having a rectangular face with four straight sides and four corners, though two sides are longer than the others. Triangles, ovals, and circles are also listed as 2-D shapes. Key terms related to 2-D shapes include curved sides, faces, straight sides, and corners.
This document provides examples and instructions for multiplying mixed decimals. It explains that when multiplying a mixed decimal by a whole number or another mixed decimal, you multiply as usual but pay attention to the number of decimal places in the factors and product. The product should have the same number of decimal places as the total number of decimal places in the factors. Several word problems involving rates and distances are solved as examples using multiplication of mixed decimals.
IDENTIFYING AND DESCRIBING TRIANGLES ACCORDING TO SIDES AND ANGLEjonalyn shenton
The document discusses triangles and their classification. It begins by asking questions to establish that triangles have 3 sides and 3 angles, while quadrilaterals have 4 sides and 4 angles. It then defines the different types of triangles based on their angles (right, acute, obtuse) and their sides (equilateral, isosceles, scalene). Several key points are made, such as triangles being the strongest shape and most commonly used in construction due to their ability to hold their shape and provide support. The document provides examples and diagrams to illustrate each type of triangle. It concludes by assigning an art project to create something using different types of triangles.
The document discusses ratios and proportions. It defines ratios as a comparison of two quantities that can be written as fractions using a colon or fraction form. It provides examples of setting up and solving ratios and proportions. Key points covered include: writing ratios in lowest terms, setting up cross multiplication to solve proportions, and using variables like n as unknowns to solve for in proportions.
A polygon is a plane figure bounded by straight line segments that meet at vertices to form a closed chain or loop. The line segments are called edges or sides, and the points where two edges meet are the polygon's vertices or corners. Regular polygons have equal sides and angles, while irregular polygons do not have equal sides and angles.
Joseph is planning to make a geometric collage of a volcano. He has a piece of navy blue cloth that is 17 cm long and 15 cm wide. He plans to cut it diagonally into two triangles. The document discusses deriving the formula for finding the area of a triangle. It states that the area of a triangle is equal to one-half base times height. It works through an example of finding the area of one of the triangles formed from Joseph's cloth, which is 127.5 cm^2. The document provides practice problems for readers to find the area of additional triangles.
The document discusses surface area of 3D solids including prisms, pyramids, and cylinders. It defines total surface area, lateral surface area, and provides formulas for calculating the surface area of different solids. An example problem compares the surface area of a can and box, and another calculates the surface area of the glass pyramid at the Louvre museum entrance.
This document discusses the volume computation of different solid figures including prisms, pyramids, cones, cylinders, and spheres. It provides examples of calculating the volume of each type of solid figure. For prisms, the volume is calculated as V=Bh, where B is the area of the base and h is the height. For pyramids and cones, the volume is calculated as V=1/3Bh. For spheres, the volume is calculated as V=4/3πr^3, where r is the radius of the sphere.
The document provides guidelines for proper online meeting etiquette such as arriving to the meeting early, dressing appropriately, keeping your camera on, muting your mic when not speaking, listening attentively, and using the chat or raise hand features to contribute. It emphasizes respecting others and following instructions from the teacher. The document also includes questions about shapes asking students to identify different types of triangles and quadrilaterals based on their properties.
The document defines and provides examples of the six main types of angles: acute angles which are less than 90 degrees; right angles of 90 degrees; obtuse angles between 90 and 180 degrees; straight angles of 180 degrees; reflex angles between 180 and 360 degrees; and complete angles of 360 degrees. Examples are given for each type of angle to illustrate their defining characteristics and measures.
Strategic Intervention Material (SIM) Mathematics-TWO-COLUMN PROOFSophia Marie Verdeflor
The document provides instructions for writing two-column geometric proofs. It explains that a two-column proof consists of statements in the left column and reasons for those statements in the right column. Each step of the proof is a row. It then gives examples of properties that can be used as reasons, such as angle addition postulate, congruent supplements theorem, and triangle congruence postulates. Sample proofs are also provided to illustrate the two-column format.
The document discusses the circumference of circles. It defines circumference as the distance around a circle and diameter as the distance across a circle. It presents the formula for circumference which is C=πd, where C is circumference, d is diameter, and π is approximately 3.14. Several examples are given of using the formula to calculate the circumference given the diameter. The document also discusses using the alternative radius-based formula, C=2πr, to find circumference when given the radius instead of the diameter.
A quadrilateral is a polygon with four sides. There are several types of quadrilaterals that can be identified by their angles and the lengths of their sides, including squares, rectangles, rhombi, parallelograms, and trapezoids. A square has four equal sides and four right angles. A rectangle has two long sides and two short sides with four right angles. A rhombus has four equal sides but two acute and two obtuse angles. A parallelogram has two pairs of parallel sides with two acute and two obtuse angles. A trapezoid has one pair of parallel sides.
The document provides information about different types of quadrilaterals and triangles, including their definitions, properties, and how to calculate their perimeters and areas. It defines squares, rectangles, parallelograms, rhombi, trapezoids, kites, and triangles. It explains key properties such as equal or parallel sides, right angles, and intersecting diagonals. It also shows examples of how to calculate perimeters by adding side lengths and areas using formulas like length x width for rectangles or (base x height)/2 for trapezoids.
The document discusses the benefits of exercise for mental health. Regular physical activity can help reduce anxiety and depression and improve mood and cognitive function. Exercise causes chemical changes in the brain that may help protect against mental illness and improve symptoms.
The document explains how to calculate the area of a circle. It first discusses the difference between circumference and area. It then shows how a circle can be cut up and rearranged to form a parallelogram. This allows the area formula for a parallelogram, Area = Base x Height, to be used. The base is equal to half the circumference which is equal to radius x pi. The height is equal to the radius. Therefore, the area of a circle is equal to the radius squared times pi. Some examples are provided to illustrate calculating the area of different circles using this formula.
This document defines and provides examples of different types of polygons. It explains that a polygon is a closed figure made of line segments that intersect exactly two others. It then defines regular and irregular polygons, as well as different types of triangles, quadrilaterals, pentagons, hexagons, and other polygons. Key details like the number of sides and sum of interior angles are provided. Examples of both regular and irregular shapes are shown.
Grade 6 Third Quarter Mathematics - Visualizing Solid Figures.pptxMARYANNSISON2
The document discusses visualizing solid figures through identifying their key characteristics such as number of faces, edges, and vertices. It provides examples of different plane and solid figures, describing properties like spheres having one curved face and no edges or vertices, while cubes have six square faces, eight vertices and twelve edges. The document also contrasts polyhedrons which have flat surfaces from solids like spheres with curved surfaces. Students are asked questions to test their understanding of classifying shapes based on these dimensional and geometric properties.
This document provides information about classifying and identifying three-dimensional geometric figures. It defines solid figures as having length, width and height and being able to stand on their own. Various solid figures are described, including polyhedrons with flat faces that can be polygons, as well as curved solids like cylinders and cones. Specific polyhedrons discussed include prisms, which have two congruent bases, and pyramids, which have one base. Prisms and pyramids are further classified based on their base shapes. The document also defines key elements of solid figures like faces, edges and vertices.
The document defines quadrilaterals and their properties. It states that a quadrilateral is a polygon with 4 sides and 4 angles, and discusses different types of quadrilaterals. It also explains that the sum of the interior angles of any quadrilateral is always 360 degrees, which is demonstrated through an experiment.
This document contains information on various topics related to engineering graphics and drawing such as scales, loci of points, orthographic projections, projections of points and lines, sections and developments of solids, and isometric projections. It includes definitions, types, methods of construction, examples, and practice problems for each topic. The objective of this content is to help students visualize concepts, understand solution processes, and develop the ability to solve problems through practice of the illustrated examples and techniques.
This document discusses different types of solids and their properties. It provides steps for solving problems involving solids.
Group A solids like cylinders and prisms have bases and tops of the same shape. Group B solids like cones and pyramids have a point top called an apex.
Problems involving solids are solved in three steps: 1) assume the solid is standing on its plane of inclination, 2) draw front and top views considering the inclination axis, 3) draw final views considering any remaining inclinations.
Several example problems are provided and walked through step-by-step to demonstrate how to draw the projections of solids in different orientations. Freely suspended solids have their
This document discusses different types of solids and their properties. It provides steps for solving problems involving solids.
Group A solids like cylinders and prisms have bases and tops of the same shape. Group B solids like cones and pyramids have a point top called an apex.
Problems involving solids are solved in three steps: 1) assume the solid is standing on its base plane, 2) draw projections considering the axis position, 3) draw final projections considering any remaining inclinations.
Several example problems are provided and walked through step-by-step to demonstrate how to draw projections of solids in different orientations. Key properties of solids like the center of gravity are also
The document provides information about geometric shapes in three dimensions including polyhedrons, cylinders, pyramids, cones, spheres, prisms, and identifying their key features such as faces, edges, and vertices. It gives examples of naming different three-dimensional figures based on descriptions of their properties and includes practice problems and quizzes for students.
The document provides information about geometric shapes in three dimensions including polyhedrons, cylinders, pyramids, cones, spheres, prisms, and identifying their key features such as faces, edges, and vertices. It gives examples of naming different three-dimensional figures based on descriptions of their properties and includes practice problems and quizzes for students.
MATH 5- QUARTER 3-WEEK 5-Module 5-Final-Allan-Domingo.pdfJANECANCEJO1
This document provides a mathematics module on visualizing, describing, and making models of different solid figures for 5th grade students. The module contains two lessons: Lesson 1 focuses on visualizing and describing solid figures, while Lesson 2 teaches how to make models of cubes, prisms, pyramids, cylinders, cones, and spheres using plane figures. The module includes pre-tests and activities to help students learn about solid figures and their properties. It also provides answer keys for the assessments. The goal is for students to be able to visualize, describe, and make models of different 3D shapes by the end of the lessons. References at the end list source materials used to create the module.
The document contains a series of questions and short passages about geometry, measurement, and shapes. Some questions ask the learner to identify properties of shapes like quadrilaterals, lines (parallel vs. perpendicular), and three-dimensional solids. Other questions involve using a coordinate plane, measuring weight in different units, or building geometric shapes from nets. The content assessed includes classifying shapes, describing geometric relationships, using coordinates, and converting between units of weight.
This document provides an overview of the contents of an engineering graphics course. It includes 17 sections covering topics like scales, engineering curves, orthographic projections, sections and developments, and isometric projections. For each section, it lists the subtopics that will be covered and provides example problems to solve. The document aims to introduce students to the key concepts and problem-solving techniques in engineering graphics.
This document provides a review for units 9-10 on geometry for Mrs. Labuski and Mrs. Portsmore's class. It includes topics covered such as area of two-dimensional figures including polygons, triangles, trapezoids, and composite figures. It also covers area and volume of three-dimensional figures including nets, surface area, and volume of prisms, pyramids, and other solids. The review contains 37 multiple choice and short answer questions assessing these geometry concepts.
This document provides a review for units 9-10 on geometry for Mrs. Labuski and Mrs. Portsmore's class. It includes topics covered such as area of two-dimensional figures including polygons, triangles, trapezoids, and composite figures. It also covers area and volume of three-dimensional figures including nets, surface area, and volume of prisms, pyramids, and other solids. The review contains 37 multiple choice and short answer questions assessing these geometry concepts.
This document contains a collection of geometry questions and answers related to topics like parallel and perpendicular lines, properties of quadrilaterals, coordinate planes, and solid figures. It also includes measurement questions about units of weight. The questions range from identifying properties and relationships to describing locations on a coordinate plane to choosing the correct measurement unit. The questions provide context, diagrams, and multiple choice answers, along with references to geometry standards.
1. The document discusses the intersection of surfaces between different solids, providing examples of cylinders intersecting cylinders, prisms intersecting cylinders, cones intersecting cylinders, and other combinations.
2. It presents the common construction method for drawing the intersections, which involves drawing the three views of one solid standing on the horizontal plane and the other penetrating horizontally. Points of intersection are marked and projections drawn to show the curve of intersection.
3. Eight example problems are given showing the specific solids and their dimensions, and asking the reader to draw the projections and curve of intersection. Diagrams illustrate the example problems.
This document provides information about a 2D Essentials class taught by Laura Gerold. The class includes four sections with start and end dates of January 18, 2012 to May 16, 2012. The document then provides questions from students and answers from the instructor on topics that will be covered in the class, including when to include projection angles, how to draw ellipses using foci, drawing arcs tangent to lines, and a test review with potential topics.
The document contains a series of math problems involving geometry concepts like area, surface area, and volume of shapes including parallelograms, trapezoids, quadrilaterals, squares, rectangles, prisms, cylinders, pyramids, cones, spheres, and hemispheres. Students are asked to show their work, use provided formulas, graph shapes based on coordinates, and determine properties like congruence, distance, and midpoints.
This document provides information about different types of polygons:
- Polygons are closed figures made of line segments with a minimum of 3 sides. Common polygons include triangles, quadrilaterals, pentagons, hexagons, etc.
- Quadrilaterals include kites, trapezoids, parallelograms, rhombuses, rectangles, and squares. Their properties depend on whether their sides and angles are equal.
- Theorems relate to properties of parallelograms like opposite sides being parallel and equal, diagonals bisecting each other, and the sum of interior angles being 360 degrees.
- Practice questions test understanding of polygon classification, properties of quadrilaterals, and applying
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LAND USE LAND COVER AND NDVI OF MIRZAPUR DISTRICT, UPRAHUL
This Dissertation explores the particular circumstances of Mirzapur, a region located in the
core of India. Mirzapur, with its varied terrains and abundant biodiversity, offers an optimal
environment for investigating the changes in vegetation cover dynamics. Our study utilizes
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of extensive research and worry. As the global community grapples with swift urbanization,
population expansion, and economic progress, the effects on natural ecosystems are becoming
more evident. A crucial element of this impact is the alteration of vegetation cover, which plays a
significant role in maintaining the ecological equilibrium of our planet.Land serves as the foundation for all human activities and provides the necessary materials for
these activities. As the most crucial natural resource, its utilization by humans results in different
'Land uses,' which are determined by both human activities and the physical characteristics of the
land.
The utilization of land is impacted by human needs and environmental factors. In countries
like India, rapid population growth and the emphasis on extensive resource exploitation can lead
to significant land degradation, adversely affecting the region's land cover.
Therefore, human intervention has significantly influenced land use patterns over many
centuries, evolving its structure over time and space. In the present era, these changes have
accelerated due to factors such as agriculture and urbanization. Information regarding land use and
cover is essential for various planning and management tasks related to the Earth's surface,
providing crucial environmental data for scientific, resource management, policy purposes, and
diverse human activities.
Accurate understanding of land use and cover is imperative for the development planning
of any area. Consequently, a wide range of professionals, including earth system scientists, land
and water managers, and urban planners, are interested in obtaining data on land use and cover
changes, conversion trends, and other related patterns. The spatial dimensions of land use and
cover support policymakers and scientists in making well-informed decisions, as alterations in
these patterns indicate shifts in economic and social conditions. Monitoring such changes with the
help of Advanced technologies like Remote Sensing and Geographic Information Systems is
crucial for coordinated efforts across different administrative levels. Advanced technologies like
Remote Sensing and Geographic Information Systems
9
Changes in vegetation cover refer to variations in the distribution, composition, and overall
structure of plant communities across different temporal and spatial scales. These changes can
occur natural.
বাংলাদেশের অর্থনৈতিক সমীক্ষা ২০২৪ [Bangladesh Economic Review 2024 Bangla.pdf] কম্পিউটার , ট্যাব ও স্মার্ট ফোন ভার্সন সহ সম্পূর্ণ বাংলা ই-বুক বা pdf বই " সুচিপত্র ...বুকমার্ক মেনু 🔖 ও হাইপার লিংক মেনু 📝👆 যুক্ত ..
আমাদের সবার জন্য খুব খুব গুরুত্বপূর্ণ একটি বই ..বিসিএস, ব্যাংক, ইউনিভার্সিটি ভর্তি ও যে কোন প্রতিযোগিতা মূলক পরীক্ষার জন্য এর খুব ইম্পরট্যান্ট একটি বিষয় ...তাছাড়া বাংলাদেশের সাম্প্রতিক যে কোন ডাটা বা তথ্য এই বইতে পাবেন ...
তাই একজন নাগরিক হিসাবে এই তথ্য গুলো আপনার জানা প্রয়োজন ...।
বিসিএস ও ব্যাংক এর লিখিত পরীক্ষা ...+এছাড়া মাধ্যমিক ও উচ্চমাধ্যমিকের স্টুডেন্টদের জন্য অনেক কাজে আসবে ...
This presentation includes basic of PCOS their pathology and treatment and also Ayurveda correlation of PCOS and Ayurvedic line of treatment mentioned in classics.
This slide is special for master students (MIBS & MIFB) in UUM. Also useful for readers who are interested in the topic of contemporary Islamic banking.
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7. GROUP REPORT
Task
Group I
Cylinder
Group 2
Cone
Group 3
Rectangular
Prism
Group 4
Triangular
Prism
Group 5
Triangular
Pyramid
Number of flat
faces
Number of
straight edges
Number of
Vertices
8.
9. I have no flat faces.
I have no straight edges.
I have just one curved face.
I am a …………?
SPHERE CONE
1
10. I have one curved face.
I have one flat face.
My flat face is a circle.
I am a …………?
CONE CYLINDER
2
11. I have 6 flat square faces
I have 12 straight edges
I have 8 corners.
I am a …………?
PRISM CUBE
3
12. I have one curved face
I have 2 flat circular faces.
I am a …………?
CYLINDER SPHERE
4
13. I have 6 flat faces
My faces are all rectangles
I have 12 straight edges and 8 corners.
I am a …………?
CUBE RECTANGULAR PRISM
5
15. IDENTIFY THE CORRECT DESCRIPTION OF THE GIVEN SOLID FIGURE BELOW
THROUGH ITS NETS BY TAPPING THE CORRECT OPTIONS
1.
Next
A. 6 SQUARE FACES ALL THE SAME SIZE
B. HAS FOUR VERTICES
2.
A. 2 CIRCULAR BASES NO VERTEX NO EDGE
B. CIRCULAR BASE ONE VERTEX
16. IDENTIFY THE CORRECT DESCRIPTION OF THE GIVEN SOLID FIGURE BELOW
THROUGH ITS NETS BY TAPPING THE CORRECT OPTIONS
3.
Next
A. ALL 6 SQUARE FACES ALL THE SAME SIZE
B. HAS FIVE VERTICES
4.
A. 12 EDGES AND 8 VERTICES
B. CIRCULAR BASE ONE VERTEX
17. IDENTIFY THE CORRECT DESCRIPTION OF THE GIVEN SOLID FIGURE BELOW
THROUGH ITS NETS BY TAPPING THE CORRECT OPTIONS
5.
Next
A. 1 FLAT FACE, 1 CURVED FACE
B. HAS FOUR VERTICES
6.
A. ONE CURVED FACE
B. CIRCULAR BASE ONE VERTEX
The teacher will ask for a volunteer to give the correct answer. Pupil who got the correct answer will be given a chance to tap the picture to its appropriate solid figure
Motivation/ Picture of a cone and its corresponding parts. Matching type then highlight the different parts of a cone
Group the pupils into 5 groups. Provide each group a set of solid figures from Deped Math Learning Equipment as shown. Let them describe the different parts of the assigned solid figures.
After 5 minutes, let the pupils exhibit their work and another five minutes for their reporting as shown.
Let the pupils identify the kind of solid figure based from the description given. FIXING SKILLS
Ask a volunteer to tap the correct name of a figure
Ask a volunteer to tap the correct name of a figure
Ask a volunteer to tap the correct name of a figure
Ask a volunteer to tap the correct name of a figure
Ask a volunteer to tap the correct name of a figure