This document discusses topics related to solving quadratic equations and inequalities including factoring, completing the square, the quadratic formula, and applications. It provides methods for solving quadratic equations by extracting square roots using the fact that if x^2 = k where k is positive, then x equals plus or minus the square root of k. It also outlines a 5-step process for solving quadratic equations by completing the square which involves writing the equation in a certain form and adding a quantity to both sides to create a perfect square trinomial.
Properties of parallelogram applies to rectangles, rhombi and squares.
In a parallelogram,
Opposite sides of a parallelogram are parallel.
A diagonal of a parallelogram divides it into two congruent triangles.
Opposite sides of a parallelogram are congruent.
Opposite angles of a parallelogram are congruent.
If one angle of a parallelogram is right, then all the angles are right.
Consecutive angles of a parallelogram are supplementary.
Diagonals of a parallelogram bisect each other.
https://www.youtube.com/channel/UCOuMfD4sggCh7XeiAHlus6Q
Properties of parallelogram applies to rectangles, rhombi and squares.
In a parallelogram,
Opposite sides of a parallelogram are parallel.
A diagonal of a parallelogram divides it into two congruent triangles.
Opposite sides of a parallelogram are congruent.
Opposite angles of a parallelogram are congruent.
If one angle of a parallelogram is right, then all the angles are right.
Consecutive angles of a parallelogram are supplementary.
Diagonals of a parallelogram bisect each other.
https://www.youtube.com/channel/UCOuMfD4sggCh7XeiAHlus6Q
Methods of Solving Quadratic EquationsMaria Wilson
The quadratic equation is about the polynomial equation in the single variable where the highest exponent of a variable is only 2. If you want to know solving quadratic equations, you will have three main ways to solve the quadratic equation.
For more instructional resources, CLICK me here and DON'T FORGET TO SUBSCRIBE!
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LIKE and FOLLOW me here!
https://tinyurl.com/ycjp8r7u
https://tinyurl.com/ybo27k2u
References:
Oronce, O. A., Mendoza, M.O. (2018), Grade 8 Mathematics: Exploring Math. Rex Publishing, Manila, Philippines.
Nivera, G. C. (2013), Grade 8 Mathematics: Pattern and Practicalities. Don Bosco Press Inc. Makati City, Philippines.
The Comprehensive Guide on Branches of MathematicsStat Analytica
Are you struggling to get all the branches of mathematics? If yes then here is the best ever presentation that will help you to get all the branches of math. Here we have mentioned the basic mathematics branches to the advanced level.
Transformation of a two dimensional space to a space of three discovered by e...Universidad Peruana Unión
TRANSFORMATION OF A TWO-DIMENSIONAL SPACE TO A SPACE OF THREE The formula and the theory contained in this paper is a discovery of Emil Núñez Rojas and are located in the School of Art Book: Methods to be original.
matrices
The beginnings of matrices goes back to the second century BC although traces can be seen back to the fourth century BC. However it was not until near the end of the 17th Century that the ideas reappeared and development really got underway.
It is not surprising that the beginnings of matrices and determinants should arise through the study of systems of linear equations. The Babylonians studied problems which lead to simultaneous linear equations and some of these are preserved in clay tablets which survive.
Derivation of tetrahedral bond angle (109.5)HaroonAhmad45
Unlike linear and trigonal planar molecules, the tetrahedral bond angle takes more insight to be derived. In this presentation I have shown a way of deriving that tetrahedral bond angle which is 109.5 degrees.
Methods of Solving Quadratic EquationsMaria Wilson
The quadratic equation is about the polynomial equation in the single variable where the highest exponent of a variable is only 2. If you want to know solving quadratic equations, you will have three main ways to solve the quadratic equation.
For more instructional resources, CLICK me here and DON'T FORGET TO SUBSCRIBE!
https://tinyurl.com/y9muob6q
LIKE and FOLLOW me here!
https://tinyurl.com/ycjp8r7u
https://tinyurl.com/ybo27k2u
References:
Oronce, O. A., Mendoza, M.O. (2018), Grade 8 Mathematics: Exploring Math. Rex Publishing, Manila, Philippines.
Nivera, G. C. (2013), Grade 8 Mathematics: Pattern and Practicalities. Don Bosco Press Inc. Makati City, Philippines.
The Comprehensive Guide on Branches of MathematicsStat Analytica
Are you struggling to get all the branches of mathematics? If yes then here is the best ever presentation that will help you to get all the branches of math. Here we have mentioned the basic mathematics branches to the advanced level.
Transformation of a two dimensional space to a space of three discovered by e...Universidad Peruana Unión
TRANSFORMATION OF A TWO-DIMENSIONAL SPACE TO A SPACE OF THREE The formula and the theory contained in this paper is a discovery of Emil Núñez Rojas and are located in the School of Art Book: Methods to be original.
matrices
The beginnings of matrices goes back to the second century BC although traces can be seen back to the fourth century BC. However it was not until near the end of the 17th Century that the ideas reappeared and development really got underway.
It is not surprising that the beginnings of matrices and determinants should arise through the study of systems of linear equations. The Babylonians studied problems which lead to simultaneous linear equations and some of these are preserved in clay tablets which survive.
Derivation of tetrahedral bond angle (109.5)HaroonAhmad45
Unlike linear and trigonal planar molecules, the tetrahedral bond angle takes more insight to be derived. In this presentation I have shown a way of deriving that tetrahedral bond angle which is 109.5 degrees.
Solving Quadratic Equation by Completing the Square.pptxDebbieranteErmac
Solving Quadratic Equation by Completing the Square is another method of solving quadratic equation when the equation cannot be solved using factoring and extracting the square root.
At the end of this lesson, student should be able to:
Recognize the general form for linear equations
Solve the linear equations
Recognize the general form for quadratic equations
Solve quadratic equations using the technique of factorization, quadratic formula and completing the square
Solve simultaneous equations for 2 x 2 systems using substitution and elimination methods
Identify the notation of inequalities and properties of inequalities
Express the solution in inequality notation, real number line, interval notation or sets notation
Solve linear inequalities
Identify the absolute value
Solve the absolute value equations
Quadratic equations are explained in simple steps to meet your level of understanding. Please provide feedback so we improve our program for your learning benefit.
Normal Labour/ Stages of Labour/ Mechanism of LabourWasim Ak
Normal labor is also termed spontaneous labor, defined as the natural physiological process through which the fetus, placenta, and membranes are expelled from the uterus through the birth canal at term (37 to 42 weeks
Acetabularia Information For Class 9 .docxvaibhavrinwa19
Acetabularia acetabulum is a single-celled green alga that in its vegetative state is morphologically differentiated into a basal rhizoid and an axially elongated stalk, which bears whorls of branching hairs. The single diploid nucleus resides in the rhizoid.
Read| The latest issue of The Challenger is here! We are thrilled to announce that our school paper has qualified for the NATIONAL SCHOOLS PRESS CONFERENCE (NSPC) 2024. Thank you for your unwavering support and trust. Dive into the stories that made us stand out!
Francesca Gottschalk - How can education support child empowerment.pptxEduSkills OECD
Francesca Gottschalk from the OECD’s Centre for Educational Research and Innovation presents at the Ask an Expert Webinar: How can education support child empowerment?
A Strategic Approach: GenAI in EducationPeter Windle
Artificial Intelligence (AI) technologies such as Generative AI, Image Generators and Large Language Models have had a dramatic impact on teaching, learning and assessment over the past 18 months. The most immediate threat AI posed was to Academic Integrity with Higher Education Institutes (HEIs) focusing their efforts on combating the use of GenAI in assessment. Guidelines were developed for staff and students, policies put in place too. Innovative educators have forged paths in the use of Generative AI for teaching, learning and assessments leading to pockets of transformation springing up across HEIs, often with little or no top-down guidance, support or direction.
This Gasta posits a strategic approach to integrating AI into HEIs to prepare staff, students and the curriculum for an evolving world and workplace. We will highlight the advantages of working with these technologies beyond the realm of teaching, learning and assessment by considering prompt engineering skills, industry impact, curriculum changes, and the need for staff upskilling. In contrast, not engaging strategically with Generative AI poses risks, including falling behind peers, missed opportunities and failing to ensure our graduates remain employable. The rapid evolution of AI technologies necessitates a proactive and strategic approach if we are to remain relevant.
Embracing GenAI - A Strategic ImperativePeter Windle
Artificial Intelligence (AI) technologies such as Generative AI, Image Generators and Large Language Models have had a dramatic impact on teaching, learning and assessment over the past 18 months. The most immediate threat AI posed was to Academic Integrity with Higher Education Institutes (HEIs) focusing their efforts on combating the use of GenAI in assessment. Guidelines were developed for staff and students, policies put in place too. Innovative educators have forged paths in the use of Generative AI for teaching, learning and assessments leading to pockets of transformation springing up across HEIs, often with little or no top-down guidance, support or direction.
This Gasta posits a strategic approach to integrating AI into HEIs to prepare staff, students and the curriculum for an evolving world and workplace. We will highlight the advantages of working with these technologies beyond the realm of teaching, learning and assessment by considering prompt engineering skills, industry impact, curriculum changes, and the need for staff upskilling. In contrast, not engaging strategically with Generative AI poses risks, including falling behind peers, missed opportunities and failing to ensure our graduates remain employable. The rapid evolution of AI technologies necessitates a proactive and strategic approach if we are to remain relevant.
The French Revolution, which began in 1789, was a period of radical social and political upheaval in France. It marked the decline of absolute monarchies, the rise of secular and democratic republics, and the eventual rise of Napoleon Bonaparte. This revolutionary period is crucial in understanding the transition from feudalism to modernity in Europe.
For more information, visit-www.vavaclasses.com
2024.06.01 Introducing a competency framework for languag learning materials ...Sandy Millin
http://sandymillin.wordpress.com/iateflwebinar2024
Published classroom materials form the basis of syllabuses, drive teacher professional development, and have a potentially huge influence on learners, teachers and education systems. All teachers also create their own materials, whether a few sentences on a blackboard, a highly-structured fully-realised online course, or anything in between. Despite this, the knowledge and skills needed to create effective language learning materials are rarely part of teacher training, and are mostly learnt by trial and error.
Knowledge and skills frameworks, generally called competency frameworks, for ELT teachers, trainers and managers have existed for a few years now. However, until I created one for my MA dissertation, there wasn’t one drawing together what we need to know and do to be able to effectively produce language learning materials.
This webinar will introduce you to my framework, highlighting the key competencies I identified from my research. It will also show how anybody involved in language teaching (any language, not just English!), teacher training, managing schools or developing language learning materials can benefit from using the framework.
Welcome to TechSoup New Member Orientation and Q&A (May 2024).pdfTechSoup
In this webinar you will learn how your organization can access TechSoup's wide variety of product discount and donation programs. From hardware to software, we'll give you a tour of the tools available to help your nonprofit with productivity, collaboration, financial management, donor tracking, security, and more.
Safalta Digital marketing institute in Noida, provide complete applications that encompass a huge range of virtual advertising and marketing additives, which includes search engine optimization, virtual communication advertising, pay-per-click on marketing, content material advertising, internet analytics, and greater. These university courses are designed for students who possess a comprehensive understanding of virtual marketing strategies and attributes.Safalta Digital Marketing Institute in Noida is a first choice for young individuals or students who are looking to start their careers in the field of digital advertising. The institute gives specialized courses designed and certification.
for beginners, providing thorough training in areas such as SEO, digital communication marketing, and PPC training in Noida. After finishing the program, students receive the certifications recognised by top different universitie, setting a strong foundation for a successful career in digital marketing.
2. TOPICS:
• The Factoring Method
• THE SQUARE ROOT PROPERTY AND THE
METHOD OF COMPLETING THE SQUARE
• The quadratic Formula and the Discriminant
• Equations That Lead to Quadratic Equations
• Applications of Quadratic Equations
• Quadratic and Rational Inequalities
4. MATH BOX
The Method of Extracting the Square Root
The equation 𝑥2 = 𝑘, where k > 0, has
exactly two solutions:
𝑥 = 𝑘 or 𝑥 = − 𝑘
The solution can also be written as 𝑥 = ± 𝑘.
5. MATH BOX
Solving Quadratic Equations by Completing the Square
1.Write the equation with the constant term on the right side.
2.Divide both sides of the equation by the coefficient of x2.
3.Take one-half of the coefficient of x, square this number,
and add the result to both sides of the equation.
4.Write the left side of the equation as a perfect square.
5.Solve this equation by extracting the roots.
