This document is a graphic self-learning module for mathematics for class 6 students. It teaches about the elements of a circle like radius, diameter, chord, arc, and circumference. Students learn to identify these elements, draw circles using a compass, and measure the lengths of radii, diameters, chords, and circumferences of circles. They observe that all radii of a circle are equal in length, the diameter is equal to twice the radius, and the circumference is more than three times the diameter.
This document provides a mathematics lesson on representing geometric concepts like points, lines, and planes using concrete and pictorial models. It defines key terms like point, line, plane, line segment, and ray. It also classifies angles as acute, right, or obtuse. The lesson expects students to be able to represent these concepts, illustrate subsets of lines, and classify angles after completing the provided activities, which include matching examples to definitions and determining if angles are acute, right, or obtuse.
This document provides information about angles and how to identify, measure, and classify different types of angles. It discusses key angle terms like acute, obtuse, right, and straight angles. It also explains how to use a protractor to measure angles and introduces different angle relationships formed when two lines are intersected by a transversal, such as corresponding angles, alternate interior angles, and vertical angles. Students are provided examples to estimate and measure angles, identify angle components, and investigate angle properties.
Math10 q2 mod2of8_chords,arcs,central angles and incribe angles of circles_v2...FahadOdin
The document discusses relationships among chords, arcs, central angles, and inscribed angles of circles including defining key terms like radius, diameter, chord, arc and angle types. It explains how to measure arcs in degrees and establishes theorems relating congruent arcs to congruent central angles and chords. The goal is to understand these relationships to solve real-life problems involving circles.
The document defines key geometry concepts like point, line, plane, angle, and different types of angles. It discusses pairs of angles formed when lines intersect or a transversal crosses parallel lines. Specifically:
1) When two lines intersect, pairs of vertically opposite angles are equal.
2) When a transversal crosses parallel lines, corresponding angles are equal, alternate angles are equal, and interior angles on the same side of the transversal are supplementary.
3) The sum of the angles of any triangle is 180 degrees.
The document describes various operations that can be performed on line segments, including copying a line segment, adding line segments, subtracting line segments, multiplying a line segment by a scalar, and dividing a line segment into equal parts. Specific step-by-step instructions are provided for how to construct or manipulate line segments to achieve each type of operation using a compass and straightedge.
This module covers similarity and the Pythagorean theorem as they relate to right triangles. It discusses how the altitude to the hypotenuse of a right triangle divides it into two smaller right triangles that are similar to each other and the original triangle. It also explains how the altitude is the geometric mean of the hypotenuse segments. Special right triangles like 45-45-90 and 30-60-90 triangles are examined, relating side lengths through their properties. The Pythagorean theorem is derived and used to solve for missing sides of right triangles. Students work through examples and multi-step problems applying these concepts.
The document provides information about angles and angle measurement:
- An angle consists of two rays with a common vertex point. Angles can be named using the vertex point and the rays.
- The measure of an angle is the amount of rotation between the rays, measured in degrees using a protractor. Examples of different angle measures are provided.
- Angles are classified as acute, right, obtuse or straight based on their degree measures. Concepts of complementary, supplementary, adjacent, vertical and linear pairs of angles are introduced along with related properties and theorems.
- Several examples problems demonstrate finding missing angle measures using properties of different angle relationships.
The document contains pictures and descriptions from Joshua's world with geometric shapes. He provides formulas and definitions for various geometry terms related to prisms, skew lines, cones, octagons, hemispheres, parallel lines, polygons, arcs, triangles, cylinders, trapezoids, tangents, angles, and circles. For each concept, Joshua shares a picture showing how it relates to his everyday life and what he has learned about the key properties and formulas.
This document provides a mathematics lesson on representing geometric concepts like points, lines, and planes using concrete and pictorial models. It defines key terms like point, line, plane, line segment, and ray. It also classifies angles as acute, right, or obtuse. The lesson expects students to be able to represent these concepts, illustrate subsets of lines, and classify angles after completing the provided activities, which include matching examples to definitions and determining if angles are acute, right, or obtuse.
This document provides information about angles and how to identify, measure, and classify different types of angles. It discusses key angle terms like acute, obtuse, right, and straight angles. It also explains how to use a protractor to measure angles and introduces different angle relationships formed when two lines are intersected by a transversal, such as corresponding angles, alternate interior angles, and vertical angles. Students are provided examples to estimate and measure angles, identify angle components, and investigate angle properties.
Math10 q2 mod2of8_chords,arcs,central angles and incribe angles of circles_v2...FahadOdin
The document discusses relationships among chords, arcs, central angles, and inscribed angles of circles including defining key terms like radius, diameter, chord, arc and angle types. It explains how to measure arcs in degrees and establishes theorems relating congruent arcs to congruent central angles and chords. The goal is to understand these relationships to solve real-life problems involving circles.
The document defines key geometry concepts like point, line, plane, angle, and different types of angles. It discusses pairs of angles formed when lines intersect or a transversal crosses parallel lines. Specifically:
1) When two lines intersect, pairs of vertically opposite angles are equal.
2) When a transversal crosses parallel lines, corresponding angles are equal, alternate angles are equal, and interior angles on the same side of the transversal are supplementary.
3) The sum of the angles of any triangle is 180 degrees.
The document describes various operations that can be performed on line segments, including copying a line segment, adding line segments, subtracting line segments, multiplying a line segment by a scalar, and dividing a line segment into equal parts. Specific step-by-step instructions are provided for how to construct or manipulate line segments to achieve each type of operation using a compass and straightedge.
This module covers similarity and the Pythagorean theorem as they relate to right triangles. It discusses how the altitude to the hypotenuse of a right triangle divides it into two smaller right triangles that are similar to each other and the original triangle. It also explains how the altitude is the geometric mean of the hypotenuse segments. Special right triangles like 45-45-90 and 30-60-90 triangles are examined, relating side lengths through their properties. The Pythagorean theorem is derived and used to solve for missing sides of right triangles. Students work through examples and multi-step problems applying these concepts.
The document provides information about angles and angle measurement:
- An angle consists of two rays with a common vertex point. Angles can be named using the vertex point and the rays.
- The measure of an angle is the amount of rotation between the rays, measured in degrees using a protractor. Examples of different angle measures are provided.
- Angles are classified as acute, right, obtuse or straight based on their degree measures. Concepts of complementary, supplementary, adjacent, vertical and linear pairs of angles are introduced along with related properties and theorems.
- Several examples problems demonstrate finding missing angle measures using properties of different angle relationships.
The document contains pictures and descriptions from Joshua's world with geometric shapes. He provides formulas and definitions for various geometry terms related to prisms, skew lines, cones, octagons, hemispheres, parallel lines, polygons, arcs, triangles, cylinders, trapezoids, tangents, angles, and circles. For each concept, Joshua shares a picture showing how it relates to his everyday life and what he has learned about the key properties and formulas.
This document discusses geometry concepts related to shapes and sizes. It covers polygons, triangles, and their various parts and classifications. The document is divided into lessons that define polygons and regular polygons, differentiate between convex and non-convex shapes, identify the basic and secondary parts of triangles, and classify triangles based on sides and angles. Multiple choice questions are provided throughout to test the reader's understanding.
Area of focus: Trigonometry and mathematical proofs
Topics covered:
> Trigonometry
> Right triangle definitions
> Trigonometric functions
> Special right triangles
> Law of sines
> Law of cosines
> Postulates and axioms
> Theorems
> Pythagorean Theorem
> Mathematical proof
Suggested time to complete (2 hrs):
> Teaching material (40 minutes)
> Practice activity (20 minutes)
> Final project (60 minutes)
This module discusses geometry concepts related to shape and size, including perimeter and circumference formulas. It will cover calculating the perimeter of common polygons like triangles, quadrilaterals, and polygons with more than 4 sides. It will also cover circumference formulas for circles. Students will learn to define basic geometric terms, state relevant formulas, and apply these concepts to solve real-world problems involving perimeter and circumference. The module contains sample problems and multi-step word problems for students to practice these skills.
This document provides information about Module 17 on similar triangles. The key points covered are:
1. The module discusses the definition of similar triangles, similarity theorems, and how to determine if two triangles are similar or find missing lengths using properties of similar triangles.
2. Students are expected to learn how to apply the definition of similar triangles, verify the AAA, SAS, and SSS similarity theorems, and use proportionality theorems to calculate lengths of line segments.
3. Several examples and exercises are provided to help students practice determining if triangles are similar, citing the appropriate similarity theorem, finding missing lengths, and applying properties of similar triangles.
This document provides instruction on calculating the areas of various plane figures including rectangles, squares, parallelograms, triangles, trapezoids, and circles. It begins by explaining that the area of a plane figure is the number of square units contained within the figure. It then provides examples of calculating areas of rectangles and squares using the formulas A=lw for rectangles and A=s^2 for squares. The document also explains how to calculate the areas of parallelograms using the formula A=bh, and triangles using the formula A=1/2bh. Students are given practice problems to solve involving finding areas of various plane figures.
This module introduces ratio, proportion, and the Basic Proportionality Theorem. Students will learn about ratios, proportions, and how to use the fundamental law of proportions to solve problems involving triangles. The module is designed to teach students to apply the definition of proportion of segments to find unknown lengths and illustrate and verify the Basic Proportionality Theorem and its Converse. Examples are provided to demonstrate how to express ratios in simplest form, find missing values in proportions, determine if ratios form proportions, and solve problems involving angles and segments in triangles using ratios and proportions.
Air transportation generates significant economic benefits worldwide through employment, industry activity, and increased trade and tourism. It supports over 13.5 million jobs globally through direct employment at airlines and airports and indirect jobs in supplier industries. Major airliners like Boeing and Airbus benefit economies through aircraft manufacturing and maintenance. Cargo carriers like FedEx and DHL additionally stimulate economies by facilitating international trade. Airline deregulation in the US led to lower fares, more routes and carriers, and substantial growth in air travel, demonstrating how deregulation can boost an air transportation economy.
Trucks almost loaded as the last 3 of a 10 Ton order of our Offshore OCNS Gold Standard Sobo S Gold 08, Degreaser is on the move North. Q3 continues to be a busy time for all. Well done Production,Factory and Warehouse for getting another one out on time.
This document defines genetically modified organisms (GMOs) as organisms whose genetic material has been altered using genetic engineering techniques. It provides examples of GMOs including pesticide-resistant crops, Bt corn which produces its own insecticide, golden rice which is enriched with vitamin A, and long-lasting tomatoes. The document discusses both the potential advantages of GMOs such as higher yields and reduced pesticide use, as well as potential disadvantages like the development of resistant pests and cross-pollination with traditional crops. It also provides opinions from a college student who concludes that while GMOs aim to address food shortages, altering organisms disrupts nature and God's creation.
The Eighth Guest and Other Muzaffar Jang Mysteries (A free Story)Madhulika Liddle
The Eighth Guest & Other Muzaffar Jang Mysteries is the second book in the Muzaffar Jang series, and takes up where The Englishman’s Cameo left off. The problem of the cameo solved, Muzaffar has acquired somewhat of a reputation as an investigator. This is a collection of ten short mysteries, ranging from an odd bequest, to the theft of some wedding gifts, to the seemingly inexplicable disappearance of a woman travelling in a small caravan…
The Englishman’s Cameo - A Muzzafar Jang Mystery!Madhulika Liddle
The Englishman’s Cameo, published in French as Le Camée Anglais, is the first Muzaffar Jang book, a story about crime and corruption in Shahjahan’s Dilli. Set in 1656 CE, the novel begins with the young nobleman Muzaffar Jang being catapulted into a crime investigation when a friend of his is accused of murdering a powerful—but shady—nobleman. The investigation brings Muzaffar into contact with a varied lot of people: a beautiful and canny courtesan; an eccentric Venetian; a mysterious Englishman—and more.
Ar10x96 barricade how to for construction personnelRyan Sueoka
This document summarizes FAA safety requirements for construction personnel working near airport runways and taxiways. It defines key terms like vehicle/pedestrian deviations that occur when someone accesses the movement area without air traffic control clearance. It outlines requirements for construction barriers, escort procedures, and consequences for deviations like loss of airfield access or retraining. It emphasizes that the movement area is actively monitored and strict procedures must be followed to maintain safety.
This document provides a self-learning module on circles for 6th grade math students. It introduces the key elements of circles like radius, diameter, arc, and circumference. Students learn to draw circles using a compass, identify the center, and measure radii, diameters, circumferences and their relationships. Pictures are provided for students to label circle elements correctly and understand concepts like chords, arcs, semicircles through visuals. The module aims to teach students about circles through interactive exercises and self-evaluation.
This document summarizes a presentation given by Susan Parson at the Sun 'n Fun safety seminar in March 2012 about situational awareness. The presentation discusses perceiving factors like aircraft, weather, airspace that could impact a flight, processing what effects they could have, and performing actions to stay safe. Specifically, it covers how different weather conditions like wind, low ceilings and visibility, or high density altitude can impact a flight and questions pilots should consider about their and their aircraft's capabilities. It emphasizes establishing personal minimum weather and aircraft performance standards that provide a safety buffer based on an individual's skills. It advises adjusting standards up if not fully proficient or feeling pressure and only modifying standards carefully with experience.
2011 Huntington Beach 4th of July Parade ProgramJaydot Creative
The document provides details about the 107th Annual Fourth of July Celebration in Huntington Beach, California. Events include a pancake breakfast, 5K run, parade, pier plaza festival with live entertainment, and a fireworks show. The celebration honors grand marshals from the community, military, celebrities, and teens. It also recognizes a community member for their volunteer efforts with the Bill Gallienne Award. The multi-day celebration aims to bring the community together to celebrate freedom on the Fourth of July.
Start Your Career with Animation Fresher Jobs in IndiaStephen Smith
Animation Fresher Jobs in India provides an overview of the animation industry in India and career opportunities for freshers. The document discusses that animation jobs are booming in India due to demand from television, films, games and other media. It outlines eligibility requirements like an animation degree and design skills. Finally, it mentions that freshers can apply online or at job fairs to find animation jobs at national and international companies in India.
Animation involves manipulating static images to create the illusion of movement, typically through rapidly displaying sequential pictures at 24 frames per second. Animation is used in movies, television, games, and other media to bring drawings and models of people and animals to life through motion. Pursuing an animation career requires creativity, technical skills, and a passion for visual storytelling. India is a major hub for animation due to its large English-speaking workforce, presence of major studios, and ability to offer high quality animation services at lower costs than other countries.
The document summarizes a geometry lesson on circles that includes the following key points:
- The objectives are to derive relations among chords, arcs, central angles, and inscribed angles, prove related theorems, and discuss the meaning of "Circle of Life".
- Concepts introduced include parts of a circle like radius, diameter, chord, secant, and tangent.
- Theorems presented include: inscribed angles subtended by the same arc are equal; inscribed angles in a semicircle are 90 degrees; an inscribed angle is half of the central angle subtending the same arc; and central angles subtended by arcs of the same length are equal.
- Students
This document discusses geometry concepts related to shapes and sizes. It covers polygons, triangles, and their various parts and classifications. The document is divided into lessons that define polygons and regular polygons, differentiate between convex and non-convex shapes, identify the basic and secondary parts of triangles, and classify triangles based on sides and angles. Multiple choice questions are provided throughout to test the reader's understanding.
Area of focus: Trigonometry and mathematical proofs
Topics covered:
> Trigonometry
> Right triangle definitions
> Trigonometric functions
> Special right triangles
> Law of sines
> Law of cosines
> Postulates and axioms
> Theorems
> Pythagorean Theorem
> Mathematical proof
Suggested time to complete (2 hrs):
> Teaching material (40 minutes)
> Practice activity (20 minutes)
> Final project (60 minutes)
This module discusses geometry concepts related to shape and size, including perimeter and circumference formulas. It will cover calculating the perimeter of common polygons like triangles, quadrilaterals, and polygons with more than 4 sides. It will also cover circumference formulas for circles. Students will learn to define basic geometric terms, state relevant formulas, and apply these concepts to solve real-world problems involving perimeter and circumference. The module contains sample problems and multi-step word problems for students to practice these skills.
This document provides information about Module 17 on similar triangles. The key points covered are:
1. The module discusses the definition of similar triangles, similarity theorems, and how to determine if two triangles are similar or find missing lengths using properties of similar triangles.
2. Students are expected to learn how to apply the definition of similar triangles, verify the AAA, SAS, and SSS similarity theorems, and use proportionality theorems to calculate lengths of line segments.
3. Several examples and exercises are provided to help students practice determining if triangles are similar, citing the appropriate similarity theorem, finding missing lengths, and applying properties of similar triangles.
This document provides instruction on calculating the areas of various plane figures including rectangles, squares, parallelograms, triangles, trapezoids, and circles. It begins by explaining that the area of a plane figure is the number of square units contained within the figure. It then provides examples of calculating areas of rectangles and squares using the formulas A=lw for rectangles and A=s^2 for squares. The document also explains how to calculate the areas of parallelograms using the formula A=bh, and triangles using the formula A=1/2bh. Students are given practice problems to solve involving finding areas of various plane figures.
This module introduces ratio, proportion, and the Basic Proportionality Theorem. Students will learn about ratios, proportions, and how to use the fundamental law of proportions to solve problems involving triangles. The module is designed to teach students to apply the definition of proportion of segments to find unknown lengths and illustrate and verify the Basic Proportionality Theorem and its Converse. Examples are provided to demonstrate how to express ratios in simplest form, find missing values in proportions, determine if ratios form proportions, and solve problems involving angles and segments in triangles using ratios and proportions.
Air transportation generates significant economic benefits worldwide through employment, industry activity, and increased trade and tourism. It supports over 13.5 million jobs globally through direct employment at airlines and airports and indirect jobs in supplier industries. Major airliners like Boeing and Airbus benefit economies through aircraft manufacturing and maintenance. Cargo carriers like FedEx and DHL additionally stimulate economies by facilitating international trade. Airline deregulation in the US led to lower fares, more routes and carriers, and substantial growth in air travel, demonstrating how deregulation can boost an air transportation economy.
Trucks almost loaded as the last 3 of a 10 Ton order of our Offshore OCNS Gold Standard Sobo S Gold 08, Degreaser is on the move North. Q3 continues to be a busy time for all. Well done Production,Factory and Warehouse for getting another one out on time.
This document defines genetically modified organisms (GMOs) as organisms whose genetic material has been altered using genetic engineering techniques. It provides examples of GMOs including pesticide-resistant crops, Bt corn which produces its own insecticide, golden rice which is enriched with vitamin A, and long-lasting tomatoes. The document discusses both the potential advantages of GMOs such as higher yields and reduced pesticide use, as well as potential disadvantages like the development of resistant pests and cross-pollination with traditional crops. It also provides opinions from a college student who concludes that while GMOs aim to address food shortages, altering organisms disrupts nature and God's creation.
The Eighth Guest and Other Muzaffar Jang Mysteries (A free Story)Madhulika Liddle
The Eighth Guest & Other Muzaffar Jang Mysteries is the second book in the Muzaffar Jang series, and takes up where The Englishman’s Cameo left off. The problem of the cameo solved, Muzaffar has acquired somewhat of a reputation as an investigator. This is a collection of ten short mysteries, ranging from an odd bequest, to the theft of some wedding gifts, to the seemingly inexplicable disappearance of a woman travelling in a small caravan…
The Englishman’s Cameo - A Muzzafar Jang Mystery!Madhulika Liddle
The Englishman’s Cameo, published in French as Le Camée Anglais, is the first Muzaffar Jang book, a story about crime and corruption in Shahjahan’s Dilli. Set in 1656 CE, the novel begins with the young nobleman Muzaffar Jang being catapulted into a crime investigation when a friend of his is accused of murdering a powerful—but shady—nobleman. The investigation brings Muzaffar into contact with a varied lot of people: a beautiful and canny courtesan; an eccentric Venetian; a mysterious Englishman—and more.
Ar10x96 barricade how to for construction personnelRyan Sueoka
This document summarizes FAA safety requirements for construction personnel working near airport runways and taxiways. It defines key terms like vehicle/pedestrian deviations that occur when someone accesses the movement area without air traffic control clearance. It outlines requirements for construction barriers, escort procedures, and consequences for deviations like loss of airfield access or retraining. It emphasizes that the movement area is actively monitored and strict procedures must be followed to maintain safety.
This document provides a self-learning module on circles for 6th grade math students. It introduces the key elements of circles like radius, diameter, arc, and circumference. Students learn to draw circles using a compass, identify the center, and measure radii, diameters, circumferences and their relationships. Pictures are provided for students to label circle elements correctly and understand concepts like chords, arcs, semicircles through visuals. The module aims to teach students about circles through interactive exercises and self-evaluation.
This document summarizes a presentation given by Susan Parson at the Sun 'n Fun safety seminar in March 2012 about situational awareness. The presentation discusses perceiving factors like aircraft, weather, airspace that could impact a flight, processing what effects they could have, and performing actions to stay safe. Specifically, it covers how different weather conditions like wind, low ceilings and visibility, or high density altitude can impact a flight and questions pilots should consider about their and their aircraft's capabilities. It emphasizes establishing personal minimum weather and aircraft performance standards that provide a safety buffer based on an individual's skills. It advises adjusting standards up if not fully proficient or feeling pressure and only modifying standards carefully with experience.
2011 Huntington Beach 4th of July Parade ProgramJaydot Creative
The document provides details about the 107th Annual Fourth of July Celebration in Huntington Beach, California. Events include a pancake breakfast, 5K run, parade, pier plaza festival with live entertainment, and a fireworks show. The celebration honors grand marshals from the community, military, celebrities, and teens. It also recognizes a community member for their volunteer efforts with the Bill Gallienne Award. The multi-day celebration aims to bring the community together to celebrate freedom on the Fourth of July.
Start Your Career with Animation Fresher Jobs in IndiaStephen Smith
Animation Fresher Jobs in India provides an overview of the animation industry in India and career opportunities for freshers. The document discusses that animation jobs are booming in India due to demand from television, films, games and other media. It outlines eligibility requirements like an animation degree and design skills. Finally, it mentions that freshers can apply online or at job fairs to find animation jobs at national and international companies in India.
Animation involves manipulating static images to create the illusion of movement, typically through rapidly displaying sequential pictures at 24 frames per second. Animation is used in movies, television, games, and other media to bring drawings and models of people and animals to life through motion. Pursuing an animation career requires creativity, technical skills, and a passion for visual storytelling. India is a major hub for animation due to its large English-speaking workforce, presence of major studios, and ability to offer high quality animation services at lower costs than other countries.
The document summarizes a geometry lesson on circles that includes the following key points:
- The objectives are to derive relations among chords, arcs, central angles, and inscribed angles, prove related theorems, and discuss the meaning of "Circle of Life".
- Concepts introduced include parts of a circle like radius, diameter, chord, secant, and tangent.
- Theorems presented include: inscribed angles subtended by the same arc are equal; inscribed angles in a semicircle are 90 degrees; an inscribed angle is half of the central angle subtending the same arc; and central angles subtended by arcs of the same length are equal.
- Students
Grade 9 (Alternate) Mathematics III - Learning Modules for EASE Program of DepEdR Borres
Grade 9 (Alternate) Mathematics III - Learning Modules for EASE Program of DepEd
A compilation of Math III learning modules for EASE which can be alternate for Grade 9 Mathematics.
Free!
1. This module discusses characteristics of circles such as lines, segments, arcs, and angles. It defines circles and their components like radii, chords, diameters, secants, and tangents.
2. The module covers relationships between these components, such as a radius bisecting a chord if it is perpendicular to it. It also defines types of arcs and angles, such as central angles that are equal to their intercepted arcs.
3. The summary provides examples of applying theorems about congruent arcs, chords, and angles to determine if components are congruent in circles or congruent circles.
7.1 Introduction
7.2 Lines Of A Circle
7.3 Arcs
7.4 Inscribed Angles
7.5 Some Properties Of Tangents, Secants And Chords
7.6 Chords And Their Arcs
7.7 Segments Of Chords, Secants And Tangents
7.8 Lengths of Arcs And Areas Of Sectors
1. The document defines various terms related to circles such as radius, diameter, chord, arc, sector, segment, and circumference.
2. It states several properties of circles including that all radii of a circle are equal, the diameter of a circle is twice the radius, equal chords of a circle subtend equal angles at the centre, and there is one and only one circle passing through three non-collinear points.
3. Examples are provided to illustrate properties such as two arcs being congruent if their corresponding chords are equal, and the perpendicular drawn from the centre of a circle to a chord bisects the chord.
This presentation discusses geometric shapes and spaces, specifically circles. It covers basic circle terms like radius, diameter, arc, chord, and sector. The document then explains several circle theorems regarding tangents, arcs and central angles, inscribed angles, and relationships between angles and intercepted arcs. Examples are provided to demonstrate how to use the theorems to find measures of angles. In the examples, statements and reasons are written to show the step-by-step work and logic. The presentation concludes by relating the measures of central angles to arc lengths and sector areas using formulas.
The document provides information for an engineering class including the instructor's name and class details, assignments due dates and details, and content on surveying techniques and geometric constructions. Key points covered include potential errors in surveying, definitions of surveying, examples of historical errors, instructions for groups to practice drawing techniques, and methods for drawing various geometric shapes and their intersections.
This document provides definitions and explanations of key concepts in circles:
- A circle is defined as the set of all points equidistant from a fixed point (the center).
- Key terms are defined like radius, diameter, circumference, chord, arc, sector, and tangent.
- The relationships between these terms are explained, such as diameter=2×radius.
- Examples are given to demonstrate determining if points lie inside, outside, or on the circle.
The document summarizes a mathematics lesson on the relationships between central angles, inscribed angles, and their intercepted arcs in circles. It includes the objectives, content, learning resources, procedures, and evaluation. The key points covered are:
- The relationship between a central angle and its intercepted arc is that the measure of the central angle is equal to the measure of its intercepted arc.
- The relationship between an inscribed angle and its intercepted arc is that the measure of the inscribed angle is equal to one-half the measure of its intercepted arc.
- Examples and activities are used to illustrate these relationships, including dividing circles into different numbers of equal parts and measuring the resulting angles and
knowing what is CIRCLE AND ITS CORRESPONDING PARTSBabyAnnMotar
This document defines and provides examples of different geometric concepts related to circles such as chords, arcs, radii, diameters, central angles, and inscribed angles. It includes learning objectives to define and identify these concepts, name and illustrate examples, and apply accumulated knowledge. Examples and activities are provided to reinforce understanding including labeling diagrams and answering multiple choice questions to test comprehension. The overall purpose is to teach learners about these circle concepts over a 60 minute period with an expected proficiency of 80%.
This document defines key concepts related to circles such as radius, diameter, chord, arc, central angle, and their relationships. It provides examples and diagrams to illustrate these terms. The key points are:
- A radius is a segment from the center of a circle to a point on the circle.
- A diameter is a chord that passes through the center.
- An arc is a part of the circle between two points, and the measure of an arc is in degrees.
- A central angle is an angle whose vertex is the center of the circle, and its measure is equal to the measure of its intercepted arc.
The document describes the steps to draw a perpendicular bisector of a line segment. The steps are:
1) Center a compass at one end of the segment and draw an arc past the middle of the segment.
2) Repeat at the other end of the segment.
3) The point where the arcs intersect is where the perpendicular bisector is drawn between.
The document discusses the different parts of a circle, including radii, diameters, chords, secants, tangents, arcs, central angles, and inscribed angles. It provides examples and definitions for each part. The document emphasizes that understanding these parts is essential for solving problems involving measuring arcs of circles. It presents examples measuring arcs using properties like the central angle theorem. Finally, it provides practice problems for students to demonstrate their understanding of circle geometry concepts.
Maths Art Integrated Activity 2022-23.pptxTechnoSSJ
1. The document discusses various terms related to circles such as radius, diameter, chord, arc, segment, and sector. It defines each term and provides examples.
2. Formulas for calculating the circumference and area of a circle are presented. Circumference is defined as 2πr and area is defined as πr^2.
3. Methods for calculating the area of a sector and segment of a circle are described. The area of a sector is calculated based on the central angle and area of the whole circle. The area of a segment is not explicitly defined.
This document provides instructions for performing various geometric constructions. It begins with introductory information on points, lines, and common geometric shapes. It then provides step-by-step instructions for constructing angles, triangles, circles, quadrilaterals, regular polygons, tangents to circles, joining circles, ellipses, involutes, and more. The constructions require only a compass and straightedge. Accuracy is emphasized as the key difficulty.
The document discusses circles, defining them as sets of points equidistant from a center point. It describes key circle terms like diameter, radius, chord, and circumference. Formulas are provided relating circumference to diameter using pi, diameter to radius, and area to radius. Examples demonstrate calculating circumference from diameter, diameter from circumference, and area from radius using the formulas. The document aims to define and explain key geometric concepts relating to circles through definitions, explanations, and example calculations.
Similar to Graphic moduleof maths class vi for Teachers (20)
This document summarizes Neha Kumari's experience in a social internship program run by the Ladli Foundation and Delhi Directorate of Education. The program aimed to spread awareness about issues like malnutrition, tuberculosis, drug abuse, and HIV/AIDS. Over four months, Neha completed assignments on each topic by creating presentations, reports, articles, slogans, and conducting workshops. She discusses the skills and strengths gained from overcoming challenges like public speaking and not having a laptop. Overall, the program helped improve her communication, teamwork, and confidence.
This document summarizes Anjali's experience in a social internship program organized by Ladli Foundation. It discusses key aspects of the program including its introduction, importance of blogging to share experiences, important skills gained like communication, and overall impact on her life. The document also outlines challenges faced, workshops attended, strengths, weaknesses, opportunities and threats. It expresses gratitude to various individuals and organizations involved in the program.
Neeru Sahu participated in a social internship program organized by Ladli Foundation for 11th grade students. The program aimed to develop leadership, time management, and address social issues. As part of the program, Neeru was assigned various tasks focused on topics like malnutrition, tuberculosis, HIV/AIDS, and substance abuse. Initially, Neeru struggled with public speaking and lacked confidence during workshops. However, with practice and support from friends and family, Neeru was able to overcome these weaknesses. Overall, the program helped Neeru improve skills like communication, teamwork, and learning about important social issues.
Vinita Joshi completed a social internship program with Ladli Foundation focused on nutrition, malnutrition, and volunteering. Over the course of the internship, she learned skills like creating presentations, articles, and reports. She conducted workshops and learned to speak confidently in front of others. While the internship presented initial challenges like learning new technologies, she overcame difficulties with help from her coordinator. Overall, the program helped improve her skills and confidence.
This document provides details about an internship assignment, including the intern's name and student ID, their school and location, and the internship teacher coordinator. It also lists the organization the internship was submitted to, along with contact information for the internship program directorate and principal. Personal details of the intern's parents are also included.
The document summarizes Naazmeen Shaikh's experience in a social internship program organized by the Directorate of Education in Delhi. The internship allowed Naazmeen to gain hands-on experience applying classroom knowledge to address social issues. It helped develop skills like leadership, communication, and public speaking. Initial challenges included difficulty making presentations, but with guidance from her coordinator Dr. Sushma Singh, Naazmeen was able to complete her assignments and overcome weaknesses. The internship provided valuable opportunities to help shape her career.
The document provides an introduction to Ladli Foundation, a non-profit organization working to provide healthcare, education, and life skills training to vulnerable women in India. It then discusses the student's social internship experience with Ladli Foundation, including key learnings around public speaking, health topics, and digital skills. The internship helped the student gain confidence, knowledge on issues like malnutrition and disease, and the ability to advise others. Challenges included technical issues that were addressed. The experience provided opportunities to teach workshops and boost speaking abilities. Personal strengths in English, drawing, and clear communication were discovered.
The document outlines an internship proposal submitted by Ayesha Parveen to Ladli Foundation's student internship program. It proposes completing assignments on topics like malnutrition, tuberculosis, drug abuse, and HIV/AIDS over a period from August 2023 to November 2023. It also includes completing a SWOT analysis of the social internship program. The internship would be conducted under the guidance of Dr. Sushma Singh, the internship coordinator at Ladli Foundation.
The document summarizes a social internship program organized by the government. It discusses how the program provides real-world experience and skills to interns, helping build their resumes and career opportunities. It highlights the key learnings and skills gained, such as communication, leadership, and problem solving. The program helped interns gain confidence and a better understanding of social issues. Challenges included time management and public speaking, which most were able to overcome with practice and support.
The document summarizes Deepa Thokdar's experience in the Social Internship Program organized by the Directorate of Education Delhi and Ladli Foundation. Some key points:
1) The internship program aims to provide students real-world experience beyond textbooks by engaging them with social challenges. Deepa was able to gain confidence and skills through workshops with Ladli Foundation.
2) Deepa overcame challenges like lack of phone access and family support to complete the program. She developed strengths like time management, leadership, and teamwork.
3) The internship was a valuable learning opportunity for Deepa and she thanks the organizations and mentors who supported her participation.
This internship allowed the student to gain experience creating presentations and materials on health topics like tuberculosis and drug abuse. They encountered challenges submitting an assignment at the last minute that took all night to resolve but were happy once it was submitted. The internship provided opportunities to educate others on diseases and learn new online research skills that will help with future work. Potential threats like misinformation and computer viruses were discussed, emphasizing the importance of vetting sources and apps for security.
The document summarizes an internship program for high school students run by Ladli Foundation. It discusses the goals of providing opportunities for social work experience and community service. It then provides details from the intern's experience, including conducting a workshop on malnutrition, learning about challenges like time management and public speaking, and gaining confidence and skills from the program with the support of coordinators and family. The internship helped develop the student's communication, leadership, and problem-solving abilities.
The document discusses Shivangi Shukla's experience in the Social Internship Programme run by the Directorate of Education Delhi, where she learned skills like making presentations, writing articles, and conducting workshops on topics like malnutrition, tuberculosis, substance abuse, and HIV/AIDS to raise awareness in the community. Through the programme, Shivangi gained confidence in public speaking and learned to use technologies like PowerPoint and Google forms while also facing challenges with time management and overcoming nervousness in workshops.
The social internship program launched by Ladli Foundation in August 2023 provides 11th grade students a 6-month opportunity to explore social issues and find sustainable solutions. Students are assigned monthly topics to create presentations, articles, workshops and reports to learn practical skills. The document outlines one student's experience over 4 monthly assignments on malnutrition, tuberculosis, drugs and HIV/AIDS. They discuss the skills and certificates gained, as well as challenges overcome with teacher support. A SWOT analysis reflects on strengths like knowledge gained, and weaknesses like public speaking that the program helped address.
This document summarizes a student's experience in a social internship program organized by the Ladli Foundation. The 6-month program aimed to provide practical learning experiences and skill development for students. Through tasks addressing issues like malnutrition, tuberculosis, and substance abuse, the intern gained skills in leadership, communication, and confidence. While challenges included a lack of motivation and public speaking skills, the internship overall helped enhance time management, provided opportunities for skill development, and could help future career prospects. The intern expressed gratitude to those involved in organizing the valuable program.
Mr. Devendra Kumar completed a 6-month social internship with Ladli Foundation, a nonprofit focused on healthcare, education, and life skills. During the internship, he conducted workshops on topics like malnutrition, tuberculosis, and HIV/AIDS. He gained experience in public speaking, workshop preparation, report writing, and time management. While there were challenges with certain tasks, he overcame issues with help from coordinators and family members. The internship helped him develop skills in teamwork, community outreach, and self-discipline.
This document discusses digital empowerment of citizens in India. It provides an overview of universal digital literacy and access to digital resources. The key facts section outlines the advantages of digital empowerment such as improved governance and services, economic benefits, and job creation. The elements of digital empowerment include digital access, commerce, communication, literacy, etiquette, law, health and wellness, and rights and responsibilities. Stages of digital transformation range from maintaining current operations to becoming innovative and adaptive. Challenges to digital empowerment are lack of digital literacy, privacy and security concerns, and the high cost of implementation projects.
Access to clean water, basic sanitation facilities, and handwashing is critical for children's health and development. However, billions of people worldwide, including many school-aged children, lack these basic WASH services. UNICEF works in over 100 countries to increase access to drinking water, sanitation, and hygiene education in communities, schools, and healthcare settings. Improving WASH can reduce disease transmission and promote public health.
This presentation was provided by Steph Pollock of The American Psychological Association’s Journals Program, and Damita Snow, of The American Society of Civil Engineers (ASCE), for the initial session of NISO's 2024 Training Series "DEIA in the Scholarly Landscape." Session One: 'Setting Expectations: a DEIA Primer,' was held June 6, 2024.
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Chapter wise All Notes of First year Basic Civil Engineering.pptxDenish Jangid
Chapter wise All Notes of First year Basic Civil Engineering
Syllabus
Chapter-1
Introduction to objective, scope and outcome the subject
Chapter 2
Introduction: Scope and Specialization of Civil Engineering, Role of civil Engineer in Society, Impact of infrastructural development on economy of country.
Chapter 3
Surveying: Object Principles & Types of Surveying; Site Plans, Plans & Maps; Scales & Unit of different Measurements.
Linear Measurements: Instruments used. Linear Measurement by Tape, Ranging out Survey Lines and overcoming Obstructions; Measurements on sloping ground; Tape corrections, conventional symbols. Angular Measurements: Instruments used; Introduction to Compass Surveying, Bearings and Longitude & Latitude of a Line, Introduction to total station.
Levelling: Instrument used Object of levelling, Methods of levelling in brief, and Contour maps.
Chapter 4
Buildings: Selection of site for Buildings, Layout of Building Plan, Types of buildings, Plinth area, carpet area, floor space index, Introduction to building byelaws, concept of sun light & ventilation. Components of Buildings & their functions, Basic concept of R.C.C., Introduction to types of foundation
Chapter 5
Transportation: Introduction to Transportation Engineering; Traffic and Road Safety: Types and Characteristics of Various Modes of Transportation; Various Road Traffic Signs, Causes of Accidents and Road Safety Measures.
Chapter 6
Environmental Engineering: Environmental Pollution, Environmental Acts and Regulations, Functional Concepts of Ecology, Basics of Species, Biodiversity, Ecosystem, Hydrological Cycle; Chemical Cycles: Carbon, Nitrogen & Phosphorus; Energy Flow in Ecosystems.
Water Pollution: Water Quality standards, Introduction to Treatment & Disposal of Waste Water. Reuse and Saving of Water, Rain Water Harvesting. Solid Waste Management: Classification of Solid Waste, Collection, Transportation and Disposal of Solid. Recycling of Solid Waste: Energy Recovery, Sanitary Landfill, On-Site Sanitation. Air & Noise Pollution: Primary and Secondary air pollutants, Harmful effects of Air Pollution, Control of Air Pollution. . Noise Pollution Harmful Effects of noise pollution, control of noise pollution, Global warming & Climate Change, Ozone depletion, Greenhouse effect
Text Books:
1. Palancharmy, Basic Civil Engineering, McGraw Hill publishers.
2. Satheesh Gopi, Basic Civil Engineering, Pearson Publishers.
3. Ketki Rangwala Dalal, Essentials of Civil Engineering, Charotar Publishing House.
4. BCP, Surveying volume 1
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.
How to Fix the Import Error in the Odoo 17Celine George
An import error occurs when a program fails to import a module or library, disrupting its execution. In languages like Python, this issue arises when the specified module cannot be found or accessed, hindering the program's functionality. Resolving import errors is crucial for maintaining smooth software operation and uninterrupted development processes.
1. Graphic Self Learning Module In
Mathematics For The Students Of
Class VI
Prepared By
Ms. Sushma Singh
Investigator
Ph.D. (Education)
i
2. Graphic Self Learning Module (Maths)
Circle and Elements of Circle
Class -VI
Previous Knowledge:-
Child knows measurement. He has studied Geometry up to class V.
Objectives:-
(1) The child will know about the elements of circle like radius, centre
etc. And will be able to draw them with the help of compass and
pencil.
(2) He will understand the relationship between the elements of circle.
(3) From various exercises on pictures he will generalize the elements
of circles.
(4) He will be able to use these elements in daily life.
Material Required:-
Pencil, compass, note book, card board, eraser, scale etc.
ii
3. Achievement of Activity to be done Activity to be done
the by the teacher. by the students.
objective.
The child 1. Tick the correct
recognizes the figure of the circle.
circle very well.
You have done
it correctly.
Good effort and 2. Draw the correct
it’s correct. figure of the circle in
the given blank
space.
iii
4. Very good you 3. Now take a
are able to make compass and
a correct figure observe that it has
of the circle. two legs one leg has
a pointed needle and
other has provision
to put pencil in it.
Now put a
sharpened pencil in
the leg having
provision of it and
tightened it.
It is called a As shown in figure.
circle. Put the needle on
the paper and rotate
the pencil leg
around it like the
figure. This figure is
called a circle/ Is
not it?
Students are 4. Students! With
able to make the help of pencil
circles and the compass
accurately. make three circles of
different sizes and
tell whether you are
able to make them
correctly.
iv
5. Students 5. Students! Now
understand the place the needle of
centre of the the compass on
circle. point A in the given
circle and make a
circle with the help
of pencil as given in
the figure.
The point A is called
the centre of the
circle. Do you
understand the
centre of the circle
or not?
Radius of the 6. Students! There
circle: You have is a figure of circle
joined centre A its centre is A.
with B, A with C Now using ruler join
then A with D, A A with B and you get
with E, A with F a line segment AB
and total line and this AB is also
segments are called a radius of the
AB, AC, AD, AE, circle.
AF which are Now join centre A
five in number. with the points C, D,
Good. E, F etc. see total
number of line
segments/radius.
v
6. You measured 7. Students! Using
the line a ruler measure the
segments: line segment AB
AB=3cm. then length of AC,
AC=3cm. AD, AE and line
AD=3cm. segment AF and tell
AE=3cm. the length of radius
AF=3cm. of the circle.
All the line See carefully that all
segments/radii the line segments
are equal in have some
length. similarity? Are they
All right. all not equal?
8. Students! In the
given figure there is
one circle. From the
centre A there is one
radius AB and
It is called the another AC.
radius of the You know that a line
circle. joining the centre
AB=AC=AD=3cm and any point on the
. circle is called the
radius/Is not it?
In the figure join
BAC with the help of
the scale.
Now measure the
radius AB and AC
with the help of the
scale and write its
length. You see that
All the radii are radius AB=AC. See
equal. carefully that all the
radii of the circle are
equal to each other.
Measure AD in the
figure you see that it
is also equal .So all
the radii of the circle
are equal/is not it?
vi
7. Relation between 9. From the centre of
diameter of a the circle Draw a
circle and radius line segment BAC as
of a circle. shown in figure.
See AB and AC are
They are equal. equal in length/are
not?
This line segment
Diameter is CAB is called the
double of the diameter of the
radius. circle and it is
double of the
radius/is not?
10. Any line segment
which passes
through the centre
of the circle and its
end points are on
the circle is called
diameter of the
It is called circle/is not it?
diameter. Now in the figure AC
AC is radius of is radius of the circle
the circle. /is not it
AB is radius of In figure AB is also a
the circle. radius of the
CB is diameter circle /is not?
of the circle. In the same figure
CB is diameter of
the circle/is not?
Length of diameter
CB is equal =(radius
AB + radius AC )
Yes Well/is not it?
Length of diameter
CB=2( length of
Yes radius)
Well. Well/is not it?
vii
8. 11. Now in the given (1) circle
figures measure the
length of the radii
and the diameters of
the circles and note
down in the given OB=--cm AB=--cm
table. OA=--cm OC=--cm
From the table find (2)circle
out that length of
the diameter is
double the length of
the radius in a
Yes it is. circle/is not it?
The length of the LOD - Length of
diameter of a Diameter. AB=--cm OA=--cm
circle is double LOR - Length of OB=--cm OC=--cm
the length of its Radius. (3) circle
radius.
All the radii of S.N. CIRCLE LOD LOR
the circle are 1 i.
equal in length. 2 ii.
3 iii. AB=--cm OA=--cm
OB=--cm OC=--cm
Chord of the 12. In the given
circle. figure join the two
given points on the
circle with the help
of the scale. Line
segment BA is called
chord of the circle.
Chord BA does not
passes through the
You said it is a centre of the circle
chord. i. So the line joining
the two points on
the circle is called
chord of the circle/is
not it?
viii
9. 13. i. The chord of a
circle which passes
through the centre
of the circle is also
diameter of the
i. Diameter is circle. /is not it?
also a chord. ii. Now draw the
different chords of
the given circle and
ii. We can draw tell how many
so many chords. chords you can
draw.
iii. Now with the
help of a scale
measure the lengths
of the chords and
write their lengths in Length of
iii. It is the the given table and chord
longest. find out the length AB
of the chord AB CD
which is maximum EF
in all /is not it? GH
iv. Chord AB which IJ
iv. It is diameter. passes through KL
centre O is MN
maximum in length PQ
and it is diameter of
the circle/is not it?
14. Now in the figure
from the point A
draw different
chords as shown
and measure them.
It is longest. You notice that
diameter of the
circle is the longest
chord/is not it?
ix
10. 15. A part of the
circumference of a
circle is called arc.
In figure ABC is an
arc of the circle/is
It is an arc. not it?
In figure ABC is
minor arc and ADC
is major arc.
i. It is semicircle. 16. i. each side
portion of the
diameter as shown
in figure shaded or
non- shaded portion
ii. Semicircle is both are semicircles.
an arc. ii. Semicircle is also
arc of the circle as
shown in figure semi
circle ACB is an
arc/is not it?
x
11. It is the 17. Now paste the
circumference of thread with the help
the circle. of fevicole like in
figure.
i. Now remove the
thread carefully and
measure its length
with the help of the
scale. The length of
the thread is
circumference of the
circle.
ii. Length of the
thread is equal to
circumference of the
circle.
Circumference is 18. Measure the Length of the thread=----cm
Length of diameter=-----cm
more than three length of diameter Circumference =3(diameter)
times of BOC with the help of
diameter. scale (circle given
above).
Now compare the
length of diameter
BOC and the length
of circumference is
little more than the
three times the
length of diameter.
xi
12. Circumference of the 19. Now take circles
circle in cm.
i. Measure= 6.3 cm.
of
Diameter= 2 cm. 2 cm, 4 cm and 6
ii. Measure=12.6 cm. cm made up of wire.
Diameter= 4 cm. Now cut them at a
iii. Measure=18.8 cm.
Diameter= 6 cm.
point A and write
the length of the
wire in the given
table. You see that
in every circle the
length of
circumference is
more than three
times the length of
the diameter/is not LOD Circumference
it? 2 cm. 6.3 cm.
4 cm. 12.6 cm.
6 cm. 18.8 cm.
A B D i a m e t e r
20.
O E R a d i u s
A B A r c
C D C h o r d
O E C h o r d
A G F A r c
C D D i a m e t e r
A G F R a d i u s
Well done.
xii
13. Circumference of the 19. Now take circles
circle in cm.
i. Measure= 6.3 cm.
of
Diameter= 2 cm. 2 cm, 4 cm and 6
ii. Measure=12.6 cm. cm made up of wire.
Diameter= 4 cm. Now cut them at a
iii. Measure=18.8 cm.
Diameter= 6 cm.
point A and write
the length of the
wire in the given
table. You see that
in every circle the
length of
circumference is
more than three
times the length of
the diameter/is not LOD Circumference
it? 2 cm. 6.3 cm.
4 cm. 12.6 cm.
6 cm. 18.8 cm.
A B D i a m e t e r
20.
O E R a d i u s
A B A r c
C D C h o r d
O E C h o r d
A G F A r c
C D D i a m e t e r
A G F R a d i u s
Well done.
xii
14. Circumference of the 19. Now take circles
circle in cm.
i. Measure= 6.3 cm.
of
Diameter= 2 cm. 2 cm, 4 cm and 6
ii. Measure=12.6 cm. cm made up of wire.
Diameter= 4 cm. Now cut them at a
iii. Measure=18.8 cm.
Diameter= 6 cm.
point A and write
the length of the
wire in the given
table. You see that
in every circle the
length of
circumference is
more than three
times the length of
the diameter/is not LOD Circumference
it? 2 cm. 6.3 cm.
4 cm. 12.6 cm.
6 cm. 18.8 cm.
A B D i a m e t e r
20.
O E R a d i u s
A B A r c
C D C h o r d
O E C h o r d
A G F A r c
C D D i a m e t e r
A G F R a d i u s
Well done.
xii
15. Circumference of the 19. Now take circles
circle in cm.
i. Measure= 6.3 cm.
of
Diameter= 2 cm. 2 cm, 4 cm and 6
ii. Measure=12.6 cm. cm made up of wire.
Diameter= 4 cm. Now cut them at a
iii. Measure=18.8 cm.
Diameter= 6 cm.
point A and write
the length of the
wire in the given
table. You see that
in every circle the
length of
circumference is
more than three
times the length of
the diameter/is not LOD Circumference
it? 2 cm. 6.3 cm.
4 cm. 12.6 cm.
6 cm. 18.8 cm.
A B D i a m e t e r
20.
O E R a d i u s
A B A r c
C D C h o r d
O E C h o r d
A G F A r c
C D D i a m e t e r
A G F R a d i u s
Well done.
xii