This document provides instruction on angle relationships and classifying angles. It defines key angle terms like acute, obtuse, right, straight, complementary and supplementary angles. Examples show how to use properties of these angles to determine missing angle measures. Adjacent angles share a vertex and side, while vertical angles are non-adjacent angles formed by two intersecting lines and are always congruent. The document provides exercises for students to classify angles and use relationships like complementary and supplementary to find unknown angle measures in diagrams.
The document outlines a 6-session unit on solid figures. In the unit, students will learn to identify and visualize three-dimensional shapes from two-dimensional drawings, understand properties of solids like faces and vertices, and determine if a net can form a given solid shape or vice versa. Sessions include learning solid shapes through models and examples, drawing solids, quizzes, creating riddles about shapes, and introducing nets of solids. The goal is for students to gain understanding and skills in visualizing and analyzing characteristics of two- and three-dimensional geometric shapes.
This document provides an overview and instructions for a 2D essentials class. It includes reminders about upcoming project deadlines, extra credit opportunities, and questions from prior chapters. It discusses concepts like runouts, plotting curves by hand, and isometric drawing. Students are instructed to break into groups to answer questions, sketch examples, and draw isometric shapes like cubes and boxes. The instructor emphasizes key pictorial drawing techniques including orthographic, oblique, perspective, and axonometric projections.
This document contains instructions and evaluation criteria for four art assignments:
1) Creating depth using techniques like overlapping, contact, and separation of shapes.
2) Applying methods of intersection, transparency, and objects passing through each other to create compositions with geometric figures.
3) Using geometric figures and concepts to create an urban landscape.
4) Achieving a sense of depth by using horizontal lines to depict a billiard table.
The assignments have a low to medium difficulty level and focus on reinforcing concepts of space, volume, and using techniques to represent depth in two-dimensional works of art. Students are evaluated on correctly applying techniques and presenting neat, accurate finished projects.
The document contains instructions and information about using similar triangles to estimate heights and distances that are difficult to measure directly. It discusses using shadows and mirrors to form similar triangles and estimate heights of objects. Measurements are taken of shadows, mirrors, and distances that allow heights to be calculated through properties of similar triangles. Students work through examples estimating heights of buildings using these methods.
The document provides an overview of a 2D essentials class including reminders about the final project and exam, questions from students, and topics that will be covered including dimensioning, auxiliary views, and a review for the final exam.
This document provides information about different types of triangles, parallel lines cut by a transversal, and finding missing angle measurements. It includes examples of acute, obtuse, right, scalene, isosceles, and equilateral triangles. It also discusses same-side interior angles, same-side exterior angles, transversals, alternate interior angles, and linear pairs related to parallel lines cut by a transversal. The document poses questions about finding specific angle measurements and the value of x given parallel lines and a transversal. It provides a word problem involving replacing a broken window where only two angle measurements are given and asks how to find the other missing angle measurements.
This document provides examples for how to draw top, side, and front views of 3D objects, as well as how to draw a corner view given those other views. It includes 5 examples of drawing the views of different 3D shapes and using those views to draw a corner view. It explains that understanding these views helps describe real-world 3D objects. Finally, it suggests that knowing how to draw 3D figures helps in finding their volumes.
This document provides a scheme of work for mathematics in Form 3. It outlines 6 learning areas to be covered over 11 weeks: 1) Lines and Angles 2) Polygons 2 3) Circles 2 4) Statistics 2 5) Indices. Each learning area lists weekly learning objectives, suggested teaching activities, expected learning outcomes, points to note, and key vocabulary. The objectives focus on understanding and applying geometric properties, representing and analyzing statistical data, and working with indices. Activities include using models, software, and hands-on exploration.
This document contains information about using scale drawings and scale factors to solve geometry problems involving real-world objects and distances. It includes examples of using scale drawings of maps to find actual distances between locations by setting up proportions from the scale. It also demonstrates how to find the actual size of an object drawn on a scale drawing or model by again using proportions and scale factors. The document emphasizes that geometry helps describe real-world objects by allowing accurate representations using scale drawings and conversions between actual sizes and scaled sizes.
The document provides information on sketching and technical drawing techniques. It discusses isometric and orthographic drawings, coded plans, and viewpoints. It describes the design process as having 8 steps: identifying the problem and criteria, brainstorming solutions, developing ideas, exploring possibilities, selecting an approach, building a model, refining the design. Dimensioning and proportions are important for sketches to convey accurate relative sizes despite not being to scale.
This document provides instructions for drawing basic shapes in one-point and two-point perspective. It begins by defining key terms like perspective drawing, vanishing point, and horizon. Students are then given step-by-step instructions to draw a cube in one-point perspective with one vanishing point and the horizon. Similarly, instructions are provided to draw a cube in two-point perspective using two vanishing points. The document concludes by assigning students to draw more complex shapes like a room in two-point perspective.
This document discusses teaching measurement in grades 3-6. It provides an overview of key measurement concepts and competencies for each grade level, including measuring length, mass, area, perimeter, volume, time, temperature and more. Experiential learning approaches are emphasized, such as having students record travel times, count words in cartoons, measure water volume, and reflect on transportation costs. Cooperative learning is also discussed, such as having students work in pairs to design measurement activities.
This lesson plan aims to teach students how to calculate the volume of a rectangular prism in 60 minutes. The lesson begins with reviewing the formula for volume (V=l×w×h) and identifying the dimensions of a rectangular prism. Students then work in groups to solve volume problems and build a jigsaw puzzle as a group activity. The lesson demonstrates solving multiple volume problems step-by-step and discusses how working as a team helps students succeed. Students are then assigned additional practice problems to solve for homework.
This document summarizes the key insights and lessons learned from a maths department's lesson study process. It discusses three separate lesson plans: 1) using geometry to solve a real-world problem of designing cheerleader skirts, 2) hands-on scaling of crocheted owls to demonstrate dimensional concepts, and 3) a video explaining derivatives and tangents to curves. Data collected showed that students were highly motivated when lessons had real-life applications and that peer-to-peer learning and discussion aided understanding. The process helped teachers strengthen their conceptual grasp of topics and encouraged more student questioning.
This document provides instructions for drawing basic shapes in one-point and two-point perspective. It begins by defining key terms like perspective drawing, vanishing point, and horizon. It then gives step-by-step instructions for drawing a cube in one-point and two-point perspective. The document emphasizes that two-point perspective is more realistic as it uses two vanishing points rather than one. Later tasks instruct students to draw a cross and letter in one-point perspective and to draw a house and room in two-point perspective. The overall objective is to teach students how to draw basic and complex shapes using the techniques of one-point and two-point perspective.
one and two-point-perspective lesson for high school and collegeMr_Saint
Ìý
This document provides instructions for drawing basic shapes in one-point and two-point perspective. It begins by defining key terms like perspective drawing, vanishing point, and horizon. It then gives step-by-step instructions for drawing a cube in one-point and two-point perspective. The document emphasizes that two-point perspective is more realistic as it uses two vanishing points rather than one. Later tasks instruct students to draw a cross and letter in one-point perspective and to draw a house and room in two-point perspective. The overall objective is to teach students how to draw basic and complex shapes using the techniques of one-point and two-point perspective.
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.
Chapter 1 - Essentials of Geometry PPT.pptxJoriNoble1
Ìý
This document provides an overview of chapter 1 of the geometry textbook "Larson Geometry" by Larson, Boswell, Kanold, and Stiff. It introduces key terms like points, lines, planes, segments, rays, angles and their classification. It describes relationships between angles like complementary, supplementary and vertical angles. It also covers finding measures of segments and angles, as well as calculating perimeter, area and circumference of basic shapes. The document is designed to accompany the textbook, using examples and diagrams from the book.
Mr. Bianco teaches an honors geometry class, outlines classroom rules of no talking or electronic devices, and provides examples of geometry problems and terms for students to practice, including finding values based on equations, defining points, lines, planes, and other key geometry terms like segments and rays. The document covers geometry objectives, examples, and vocabulary for students to learn basic geometry concepts.
This document provides information about different types of triangles, parallel lines cut by a transversal, and finding missing angle measurements. It includes examples of acute, obtuse, right, scalene, isosceles, and equilateral triangles. It also discusses same-side interior angles, same-side exterior angles, transversals, alternate interior angles, and linear pairs related to parallel lines cut by a transversal. The document poses questions about finding specific angle measurements and the value of x given parallel lines and a transversal. It provides a word problem involving replacing a broken window where only two angle measurements are given and asks how to find the other missing angle measurements.
This document provides examples for how to draw top, side, and front views of 3D objects, as well as how to draw a corner view given those other views. It includes 5 examples of drawing the views of different 3D shapes and using those views to draw a corner view. It explains that understanding these views helps describe real-world 3D objects. Finally, it suggests that knowing how to draw 3D figures helps in finding their volumes.
This document provides a scheme of work for mathematics in Form 3. It outlines 6 learning areas to be covered over 11 weeks: 1) Lines and Angles 2) Polygons 2 3) Circles 2 4) Statistics 2 5) Indices. Each learning area lists weekly learning objectives, suggested teaching activities, expected learning outcomes, points to note, and key vocabulary. The objectives focus on understanding and applying geometric properties, representing and analyzing statistical data, and working with indices. Activities include using models, software, and hands-on exploration.
This document contains information about using scale drawings and scale factors to solve geometry problems involving real-world objects and distances. It includes examples of using scale drawings of maps to find actual distances between locations by setting up proportions from the scale. It also demonstrates how to find the actual size of an object drawn on a scale drawing or model by again using proportions and scale factors. The document emphasizes that geometry helps describe real-world objects by allowing accurate representations using scale drawings and conversions between actual sizes and scaled sizes.
The document provides information on sketching and technical drawing techniques. It discusses isometric and orthographic drawings, coded plans, and viewpoints. It describes the design process as having 8 steps: identifying the problem and criteria, brainstorming solutions, developing ideas, exploring possibilities, selecting an approach, building a model, refining the design. Dimensioning and proportions are important for sketches to convey accurate relative sizes despite not being to scale.
This document provides instructions for drawing basic shapes in one-point and two-point perspective. It begins by defining key terms like perspective drawing, vanishing point, and horizon. Students are then given step-by-step instructions to draw a cube in one-point perspective with one vanishing point and the horizon. Similarly, instructions are provided to draw a cube in two-point perspective using two vanishing points. The document concludes by assigning students to draw more complex shapes like a room in two-point perspective.
This document discusses teaching measurement in grades 3-6. It provides an overview of key measurement concepts and competencies for each grade level, including measuring length, mass, area, perimeter, volume, time, temperature and more. Experiential learning approaches are emphasized, such as having students record travel times, count words in cartoons, measure water volume, and reflect on transportation costs. Cooperative learning is also discussed, such as having students work in pairs to design measurement activities.
This lesson plan aims to teach students how to calculate the volume of a rectangular prism in 60 minutes. The lesson begins with reviewing the formula for volume (V=l×w×h) and identifying the dimensions of a rectangular prism. Students then work in groups to solve volume problems and build a jigsaw puzzle as a group activity. The lesson demonstrates solving multiple volume problems step-by-step and discusses how working as a team helps students succeed. Students are then assigned additional practice problems to solve for homework.
This document summarizes the key insights and lessons learned from a maths department's lesson study process. It discusses three separate lesson plans: 1) using geometry to solve a real-world problem of designing cheerleader skirts, 2) hands-on scaling of crocheted owls to demonstrate dimensional concepts, and 3) a video explaining derivatives and tangents to curves. Data collected showed that students were highly motivated when lessons had real-life applications and that peer-to-peer learning and discussion aided understanding. The process helped teachers strengthen their conceptual grasp of topics and encouraged more student questioning.
This document provides instructions for drawing basic shapes in one-point and two-point perspective. It begins by defining key terms like perspective drawing, vanishing point, and horizon. It then gives step-by-step instructions for drawing a cube in one-point and two-point perspective. The document emphasizes that two-point perspective is more realistic as it uses two vanishing points rather than one. Later tasks instruct students to draw a cross and letter in one-point perspective and to draw a house and room in two-point perspective. The overall objective is to teach students how to draw basic and complex shapes using the techniques of one-point and two-point perspective.
one and two-point-perspective lesson for high school and collegeMr_Saint
Ìý
This document provides instructions for drawing basic shapes in one-point and two-point perspective. It begins by defining key terms like perspective drawing, vanishing point, and horizon. It then gives step-by-step instructions for drawing a cube in one-point and two-point perspective. The document emphasizes that two-point perspective is more realistic as it uses two vanishing points rather than one. Later tasks instruct students to draw a cross and letter in one-point perspective and to draw a house and room in two-point perspective. The overall objective is to teach students how to draw basic and complex shapes using the techniques of one-point and two-point perspective.
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.
Chapter 1 - Essentials of Geometry PPT.pptxJoriNoble1
Ìý
This document provides an overview of chapter 1 of the geometry textbook "Larson Geometry" by Larson, Boswell, Kanold, and Stiff. It introduces key terms like points, lines, planes, segments, rays, angles and their classification. It describes relationships between angles like complementary, supplementary and vertical angles. It also covers finding measures of segments and angles, as well as calculating perimeter, area and circumference of basic shapes. The document is designed to accompany the textbook, using examples and diagrams from the book.
Mr. Bianco teaches an honors geometry class, outlines classroom rules of no talking or electronic devices, and provides examples of geometry problems and terms for students to practice, including finding values based on equations, defining points, lines, planes, and other key geometry terms like segments and rays. The document covers geometry objectives, examples, and vocabulary for students to learn basic geometry concepts.
Finals of Kaun TALHA : a Travel, Architecture, Lifestyle, Heritage and Activism quiz, organized by Conquiztadors, the Quiz society of Sri Venkateswara College under their annual quizzing fest El Dorado 2025.
Research & Research Methods: Basic Concepts and Types.pptxDr. Sarita Anand
Ìý
This ppt has been made for the students pursuing PG in social science and humanities like M.Ed., M.A. (Education), Ph.D. Scholars. It will be also beneficial for the teachers and other faculty members interested in research and teaching research concepts.
Information Technology for class X CBSE skill SubjectVEENAKSHI PATHAK
Ìý
These questions are based on cbse booklet for 10th class information technology subject code 402. these questions are sufficient for exam for first lesion. This subject give benefit to students and good marks. if any student weak in one main subject it can replace with these marks.
QuickBooks Desktop to QuickBooks Online How to Make the MoveTechSoup
Ìý
If you use QuickBooks Desktop and are stressing about moving to QuickBooks Online, in this webinar, get your questions answered and learn tips and tricks to make the process easier for you.
Key Questions:
* When is the best time to make the shift to QuickBooks Online?
* Will my current version of QuickBooks Desktop stop working?
* I have a really old version of QuickBooks. What should I do?
* I run my payroll in QuickBooks Desktop now. How is that affected?
*Does it bring over all my historical data? Are there things that don't come over?
* What are the main differences between QuickBooks Desktop and QuickBooks Online?
* And more
Computer Application in Business (commerce)Sudar Sudar
Ìý
The main objectives
1. To introduce the concept of computer and its various parts. 2. To explain the concept of data base management system and Management information system.
3. To provide insight about networking and basics of internet
Recall various terms of computer and its part
Understand the meaning of software, operating system, programming language and its features
Comparing Data Vs Information and its management system Understanding about various concepts of management information system
Explain about networking and elements based on internet
1. Recall the various concepts relating to computer and its various parts
2 Understand the meaning of software’s, operating system etc
3 Understanding the meaning and utility of database management system
4 Evaluate the various aspects of management information system
5 Generating more ideas regarding the use of internet for business purpose
APM event hosted by the South Wales and West of England Network (SWWE Network)
Speaker: Aalok Sonawala
The SWWE Regional Network were very pleased to welcome Aalok Sonawala, Head of PMO, National Programmes, Rider Levett Bucknall on 26 February, to BAWA for our first face to face event of 2025. Aalok is a member of APM’s Thames Valley Regional Network and also speaks to members of APM’s PMO Interest Network, which aims to facilitate collaboration and learning, offer unbiased advice and guidance.
Tonight, Aalok planned to discuss the importance of a PMO within project-based organisations, the different types of PMO and their key elements, PMO governance and centres of excellence.
PMO’s within an organisation can be centralised, hub and spoke with a central PMO with satellite PMOs globally, or embedded within projects. The appropriate structure will be determined by the specific business needs of the organisation. The PMO sits above PM delivery and the supply chain delivery teams.
For further information about the event please click here.
Finals of Rass MELAI : a Music, Entertainment, Literature, Arts and Internet Culture Quiz organized by Conquiztadors, the Quiz society of Sri Venkateswara College under their annual quizzing fest El Dorado 2025.
Prelims of Rass MELAI : a Music, Entertainment, Literature, Arts and Internet Culture Quiz organized by Conquiztadors, the Quiz society of Sri Venkateswara College under their annual quizzing fest El Dorado 2025.
2. Learning Intentions
• Recall the meaning of the True Length of a Line
• Outline the steps required to locate the True Length of a Line
• Apply the new learning of Point view of a line to complete a
question
• Create a 3D Model of their question that they have completed to
strengthen their knowledge of True Length of a Line and Point
View of a Line
Ms. Kennedy
3. Success Criteria
• Students have a list of similar words to True, Length and Line in a brainstorming activity.
• Students have recalled the meaning of True Length of a Line
• Students can list out the steps to locate the True length of any Line
• Each student has demonstrated their learning by constructing a true length of a line
• Students have followed the steps to locate the Point View of a Line within a given question
• Students can list the steps required to locate the Point View of a Line
• Students have created a 3D model of their question correctly.
• Students uses the model to answer all the questions on a worksheet and illustrate what each of the
answers looks like.
Ms. Kennedy
4. Recap on Previous Learning
• What does the True Length of a Line mean?
Break down each of the words
True Length Line
Ms. Kennedy
5. Recap on Previous Learning
• What does the True Length of a Line mean?
Looking Straight at the line
Viewing Direction is perpendicular to the line
Any Line Parallel with a XY Line will project as a true length in the
next view
e.g. Parallel line in Elevation is a True Length in Plan
Ms. Kennedy
6. What are the steps to
locate the True Length
of a line?
Ms. Kennedy
X Y
A
B
B
A
7. • Take an Auxiliary View
of the line
• The XY Line is Parallel
with the line you are
working with
Ms. Kennedy
X Y
X1
Y1
A
B
B
A
8. • Project the 2 points of the
line perpendicular to the
XY Line (the viewing
direction)
Ms. Kennedy
X Y
X1
Y1
A
B
B
A
9. • To get your heights use
the 1,2 rule
• Go back to the previous
XY Line and count back 2
views
Ms. Kennedy
X Y
X1
Y1
A
B
B
A
10. • Use these heights in your
Auxiliary View
• Connect the 2 points
• This is the True Length
Ms. Kennedy
X Y
X1
Y1
A
B
B
A
A1
B1
12. Point View of a Line
Break down each of the words
Point View Line
Ms. Kennedy
13. Point View of a Line
•A line can be made out of 2 points
•Point is where you see 1 dot or point
Ms. Kennedy
14. Point View of a Line
•A line can be made out of 2 points
•Point is where you see 1 dot or point
Point view of a Line means that both points of the
line are seen in a view as 1 singular point
Ms. Kennedy
15. • After finding the True
Length of the Line we must
take another Auxiliary view
• The view is perpendicular
to the True Length
X Y
X
1
Y
1
X2
Y2
A
B
B
A
A1
B1
16. • Take our measurements 2
views back (the height
should be the same for
both points)
X Y
X
1
Y
1
X2
Y2
A
B
B
A
A1
B1
17. • Located the Point view
of a Line
X Y
X
1
Y
1
X2
Y2
A
B
B
A
A1
B1
A2B2
22. • Write your name
on the sheet
• Fold along the
orange dashed
lines
• Use tape to hold
the model
together
X Y
X1
Y1
X
2
Y
2
A
B
B
A
A1
B1
A2B2
Name:___________
1
2
3
4
23. Question Sheet
• Fill in the answers to this
sheet with the help of
your 3D Model
• Use the Red Numbers
on each view to identify
which one you are
talking about
Name:_____________ Date: ______________
Using your 3D model answer these questions.
The answers will be numbers 1, 2, 3 and 4 which is on
your model. Your are linking the views to the questions.
Please draw a small sketch what the view looks like.
1. Which view is
the plan?
2. Which view can
you see the True
length of the Line?
3. Which view do
you take your
heights from for
the True Length of
the Line?
4. Where is the
Point View of the
line in the views?
Answer Sketch
_______
_______
_______
_______
Ms. Kennedy
25. Kahoot Quiz
•Pair up with the person beside you
•Use One Phone and keep it on the table
•Google Kahoot.com
Ms. Kennedy
26. Learning Intentions
• Recall the meaning of the True Length of a Line
• Outline the steps required to locate the True Length of a Line
• Apply the new learning of Point view of a line to complete a
question
• Create a 3D Model of their question that they have completed to
strengthen their knowledge of True Length of a Line and Point
View of a Line
Ms. Kennedy
27. Success Criteria
• Students have a list of similar words to True, Length and Line in a brainstorming activity.
• Students have recalled the meaning of True Length of a Line
• Students can list out the steps to locate the True length of any Line
• Each student has demonstrated their learning by constructing a true length of a line
• Students have followed the steps to locate the Point View of a Line within a given question
• Students can list the steps required to locate the Point View of a Line
• Students have created a 3D model of their question correctly.
• Students uses the model to answer all the questions on a worksheet and illustrate what each of the
answers looks like.
Ms. Kennedy
28. End of Lesson
•Please leave your worksheets on my desk
•Tidy away your equipment
•Push in your chair
•Wait for the bell
Ms. Kennedy