Prove and apply properties of rectangles, rhombuses, and squares.
Use properties of rectangles, rhombuses, and squares to solve problems.
Prove that a given quadrilateral is a rectangle, rhombus, or square.
These slides are about the converse of the Pythagorean theorem. They contain all the converse theorem slides that explain the visibility of the theorem to students.
Prove and apply properties of rectangles, rhombuses, and squares.
Use properties of rectangles, rhombuses, and squares to solve problems.
Prove that a given quadrilateral is a rectangle, rhombus, or square.
These slides are about the converse of the Pythagorean theorem. They contain all the converse theorem slides that explain the visibility of the theorem to students.
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.
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.
Exploiting Artificial Intelligence for Empowering Researchers and Faculty, In...Dr. Vinod Kumar Kanvaria
Exploiting Artificial Intelligence for Empowering Researchers and Faculty,
International FDP on Fundamentals of Research in Social Sciences
at Integral University, Lucknow, 06.06.2024
By Dr. Vinod Kumar Kanvaria
Operation “Blue Star” is the only event in the history of Independent India where the state went into war with its own people. Even after about 40 years it is not clear if it was culmination of states anger over people of the region, a political game of power or start of dictatorial chapter in the democratic setup.
The people of Punjab felt alienated from main stream due to denial of their just demands during a long democratic struggle since independence. As it happen all over the word, it led to militant struggle with great loss of lives of military, police and civilian personnel. Killing of Indira Gandhi and massacre of innocent Sikhs in Delhi and other India cities was also associated with this movement.
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
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1. 8-3 The Converse of the
Pythagorean Theorem
Objective
I can state and apply theorems to determine if a triangle is right,
obtuse, or acute.
2. 8-3 The Converse of the
Pythagorean Theorem
If the square of one side of a triangle is equal
to the sum of the squares of the other two
sides, then the triangle is a right triangle.
Is a triangle with lengths 20, 21, and 29
a right triangle?
In other words, is 292 = 202 + 212 ?
(Use the longest sides as your “c.”)
3. Pythagorean Triples
A Pythagorean triple consists of three
positive integers a, b, and c, such that
c2 = a2 + b2.
Some common triples (p. 295):
( 3, 4, 5) ( 5, 12, 13) ( 7, 24, 25) ( 8, 15, 17)
or common multiples of these.
4. Theorem 8-3
If c2 = a2 + b2,
then mC = 90
and ΔABC is
right.
Theorem 8-4
If c2 < a2 + b2,
then mC < 90
and ΔABC is
acute.
Theorem 8-5
If c2 > a2 + b2,
then mC > 90
and ΔABC is
obtuse.
A B
C
ab
c
A B
C
a
b
c
A B
C
ab
c
5. Examples
A triangle has sides of the given lengths.
Is it acute, right or obtuse?
1. 5, 12, 14
2. 6, 7, 8
3.
4.