Introduction to Geometry

BY
School Yourself via Edx

In the communicative Introduction to Geometry course, evaluate angles, ascertain computation of areas, testify theorems and learn how to ascertain volumes.

Lavel

Beginner

Mode

Online

Duration

14 Weeks

Fees

Free

Quick Facts

particular details
Medium of instructions English
Mode of learning Self study
Mode of Delivery Video and Text Based
Learning efforts 4-6 Hours Per Week

Course overview

The Introduction to Geometry program, which is provided by edX in association with the SchoolYourself institute, explains geometry to the candidates from the very beginning. It introduces the candidates to the basics of geometry which includes triangles, quadrilaterals, polygons and line segments. It also talks about the history of geometry which began 200 years ago way before rockets were launched and explain the proof of 3D and 2D shapes.

This course does not fail to answer questions like, “What are parallel lines?” or “How big is an angle?” and then gradually proceed to more complex problems and theorems like the Pythagorean and Cavalieri’s principle. The course deals with finding the area of triangles using more than one formula, volume and surface area of different objects and it also discovers many shortcuts to counting numbers.

It explains candidates about the estimates of the size of Earth and teaches about other high school geometry concepts perpendicular lines and segments. Introduction to Geometry course is funded partly by Wertheimer Fund.

The highlights

  • Efforts required to be put in- 4 to 6 hours
  • 14 weeks long course
  • Learner response program 
  • SchoolYourself is the associated institute
  • Charge-free audit given
  • Cyberlearning 
  • Course supplier edX
  • SchoolYourself gives the established certification 
  • The facility of financial fellowship provided

Program offerings

  • Online discussion sessions
  • E-learning
  • Recorded lectures
  • Digitized assessments

Course and certificate fees

Type of course

Free

Some information regarding the fees of the Introduction to Geometry program is as specified underneath:

  • Audit track offers free of charge learning of the entire course.
  • The verified track is a step ahead and offers certification at the price of Rs. 4,175 /-.
  • The header of ‘scholarship details’ describes the financial assistance and discount in fee available for the disadvantaged group of candidates.

Fee details for Introduction to Geometry

Head 

Amount 

Introduction to Geometry course learning

Rs.0/-

Introduction to Geometry course certification 

Rs. 4,175 /-

certificate availability

Yes

certificate providing authority

School Yourself

certificate fees

₹4,175

Who it is for

This course is in general suitable for everyone but Introduction to Geometry course is most preferable for the following:

  • Introduction to Geometry can be done by anyone who has primary level knowledge of algebra.
  • It can also be done by candidates interested in learning geometrics from the scratch.
  • This course can be done by candidates who simply want to learn a new set of skills and add them to their resumes.

Eligibility criteria

Education

Students who want to enroll for the Introduction to Geometry program need to have some elementary knowledge about algebra. For example- resolving any equation which has an anonymous value.

Certification Qualifying Details

For becoming a qualified candidate to get a certificate from SchoolYourself, they need to apply for the verified track by paying a certain amount. Candidates also need to maintain an attendance score and get 50% marks in their assessments which will be held weekly.

What you will learn

Mathematical skill

After the completion of the Introduction to Geometry course, candidates will know about many a concept related to geometry that is as specified beneath:

  • The Introduction to Geometry program will teach candidates about the measurement of different angles in geometry.
  • Candidates will get to learn the rules for regulating when congruent angles are present.
  • Candidates shall gain knowledge about the properties of various polygons including triangles and quadrilaterals.
  • They are explained how to prove these properties and their application in actual geometric sums and problems.
  • Participants will learn how to calculate and measure areas of circles, polygons, ellipses and many other shapes.
  • Introduction to Geometry course teaches them the Pythagorean theorem, its importance and its application in geometry.
  • They learn about the relation and difference between different shapes and angles and line segments are related.
  • The program will give learnings about surface areas and volumes of 3D figures and how to calculate them.
  • Lastly, candidates get to know about the perimeters, parallel lines, naming and combining angles.

The syllabus

Lines and angles

  • Angles and degrees
  • Lines segments and rays
  • Parallel lines
  • Right, Obtuse and Acute angles
  • Perpendicular bisectors
  • Perpendicular lines
  • Naming angles

Polygons and quadrilaterals

  • Regular polygons
  • Quadrilaterals
  • Degrees in any polygon
  • Perimeter
  • Opposite sides in parallelograms
  • Opposite angles in parallelograms
  • Angles in trapezoids 
  • Diagonals in rectangles
  • Diagonals in parallelograms
  • Diagonals in rhombus

Related angles

  • Supplementary, complementary
  • Combining angles
  • Corresponding angles
  • Vertical angles
  • Coterminal angles
  • Alternate exterior angles
  • Alternate interior angles

Area of polygons

  • Rectangle area
  • Introduction to area
  • Triangle area
  • Parallelogram area
  • Rhombus area
  • Trapezoid area

Triangles

  • Congruence 
  • Introduction to polygons
  • 180 degrees in a triangle
  • Scalene, Isosceles, Equilateral
  • Introduction to polygons

The Pythagorean theorem

  • Generating triples
  • The Pythagorean theorem
  • Distance formula
  • Pythagorean triples
  • Equilateral triangle area
  • Proving heron’s formula
  • Heron’s formula

Rules for triangles

  • Medians of triangle
  • The triangles inequality 
  • Altitudes
  • Longer sides, larger angles
  • Angles in isosceles triangles

Circles, ellipses and their areas

  • Circumference
  • Ellipses
  • Circles
  • Size of earth
  • Ellipse area
  • Area of a circle
  • Cavalieri’s principle 
  • Combining shapes

Triangle congruence

  • Similar ratios
  • Similarity
  • SAS postulate
  • SSS postulate
  • AAS postulate
  • ASA postulate 
  • The ambiguous case
  • AA postulate (similarity)

Angles in circles

  • Sector area
  • Arc length
  • Inscribed angles on the diameter
  • Arcs and central angles
  • Inscribed angles on a diameter

Volume

  • Rectangular prism volume
  • Introduction to solids
  • The volume of other prisms
  • Pyramid volume
  • Sphere volume 
  • Cone volume
  • Cavalieri’s principle in 3D

Lines in circles

  • Tangents to the same point
  • Secants, tangents and chords
  • Circumscribed angles
  • Intersecting chords
  • Arcs between parallel chords
  • Intersecting secants
  • Cyclic quadrilaterals
  • Intersecting circles

Surface area

  • Internal diagonals 
  • Cylinder surface area
  • Prism surface area
  • Pyramid surface area
  • Cone surface area
  • Sphere surface area

Survey

  • Course survey

Transformations

  • Dilation
  • Rotation
  • Translation
  • Reflection
  • Symmetry 
  • Preserving congruence

Bonus: radio and lights

  • Rainbows explained
  • Why light bends

Admission details

Introduction to the Geometry program’s enrollment process is simple. All the candidates have to do, is follow these steps:

Step 1: Press the specified link here to reach the edX website. - https://www.edx.org/ 

Step 2: Make an edX account and fill in the required details.

Step 3: Click on this URL and press enroll - https://www.edx.org/course/introduction-to-geometry 

Step 4: Candidates have been enrolled in the audit track. For upgrading to the verified track, click on that option. 

Step 5: Make an online via any suitable format, through credit/debit card or by net banking, and press place an order.

Scholarship Details

Although edX does not provide any specific information regarding any scholarships that they might offer to the candidates wanting to enroll for an Introduction to Geometry course but they do offer financial assistance. Discounts of as much as 90 percent are given to participants who are interested in receiving the education but they do not have the funds to pay for the certification amount. 

They have to submit all the required details and documents asked for to become an eligible candidate for the discount while filling a separate application for the same. 

How it helps

edX’s Introduction to Geometry course certification serves as proof of completion of the program in the due period and is also a definite motivator to learn and pass the assessments. Since this certification is of sharable nature, it will help the candidate for further studies in reputed universities or colleges and it may pave a way for their entrance into a dream college. 

The certification will help the candidate to be recognized as an individual who has the skills to solve basic geometric problems and is proof of the knowledge gained during the course of the program.

Introduction to Geometry course certification is also necessary if candidates want to pursue a career in mathematics and become mathematicians or even if they want to become professionals such as engineers or architects Introduction to Geometry certification will surely come in handy. This certification also helps edX as a course provider to continue to provide other free course options to the candidates.

The certification also confirms that candidates are working towards the set goal in the right direction and show enthusiasm and passion towards achieving something and these skills once recognized by employers can be beneficial for the candidate. Introduction to Geometry certificate can be shared with relatives, friends, colleges and family.

Instructors

Mr Zach Wissner-Gross
CEO
School Yourself

Ph.D

Mr John Lee
CTO
School Yourself

Other Bachelors

Mr Vivek Venkatachalam
Instructor
Freelancer

Ph.D

Mr Kenny Peng
Software Engineer
School Yourself

Mr Michael Fountaine
Instructor
Freelancer

Other Bachelors

Mr Stephen Face

Mr Stephen Face
Instructor
Freelancer

Other Bachelors

FAQs

What is the prior requirement for the Introduction to Geometry program?

Before applying for this course it is necessary that the candidates know how to solve basic equations and are equipped with fundamental algebra. 

What language is this course imparted in and what are its transcripts?

The course information and content are given in English and only an English transcript is available for the Introduction to Geometry course.

From where will the certification for the Introduction to Geometry program be provided?

The certification is verified by the School Yourself institution but the course giver is edX.

What are the ways to connect with edX?

Candidates can be connected to edX via blogs, donation sites, media kit, help centers and customer service providers.

How can candidates make an edX account?

To make an edX account, candidates can click on this link: https://www.edx.org/ and write the basic details in the sign-up form.

In case of urgent help whom can the candidates contact?

In case of queries regarding the course of the edX service provider, candidates can search the edX help center or create a support ticket by entering their course name and details.

What is SchoolYourself?

SchoolYourself provides online study courses for free and aims at reinventing education by creating a collaboration between learners and teachers.

How does edX affiliates work and can that be done alongside an edX course?

To know all about affiliates in edX visit the site URL written beneath
 https://www.edx.org/affiliate-program

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