Short math guide pdf

Study Abroad. Online Test. Scholarships Scholarships Main. Store Books Store. Download Full 9th Class Math Notes. Share your comments questions here. Sort By: Newest Old. Paper Scheme.

Roll Slip. Video Lectures. Guess Papers. Start Test. Sign in. Hi SoftSolutions. Register Now. Enter your email. Back To Login Next. New Member? Register Type. Share this:. As the son of two Vietnamese immigrants, Hai Dinho may not have seemed to be set for success. However, as with many people, there is more than mee. Rojgar Samachar. You could fill dozens of file folders with school memories and memorabilia dating back to your child's days as a first-grader.

Or you could save space and keep it all in a digital filing system with Adobe Acrobat online tools and the Adobe Scan app. The Teenage Workbook was released the same year. The books have been made into a play, a movie and a TV series. Many people across different generations find the book resonated with them a lot. The TV series was released as recently as Published in PDF format. Join if not a Member and automatically receive InTech magazine mailed to your home or office.

Grants available for schools to create robotics teams. By The Learning Network In this lesson, students will learn about the journey of a book that was checked out in and not returned until Then, they will discuss the importance of New York Times. See our easy, varied recipes to make up a delicious lunchbox, plus loads of great tips and ideas to help keep things simple and stress- free.

Give the family a fruit and veg boost! Choose one of our Fruit and Veg Boost plans to help you and the kids get to NHS Choices. Eugenia L. Weiss brings more than 30 years experience to the School of Social Work. Choose from hundreds of books, courses, and tech talks on web development. Get access to over books, courses, and videos. Published: Mar Downloads: 96 Pages: Published: Jul Downloads: Pages: Mathematics: Ages 5 to 6 Glen K. Published: May Downloads: Pages: Published: Mar Downloads: Pages: Published: Apr Downloads: Pages: Calculating Advanced Statistics John R.

Glenn Rey A. Estrada, Dr. Flordeliza F. Francisco, Mr. Mark Anthony J. Vidallo Technical Editors: Dr. Maria Alva Q. Francisco, Dr. Reginaldo M. Tan, Renan U. Ortiz 4. Share — copy and redistribute University President: Ester B.

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Theresa C. Carlos, Mylene E. Daulat material, you must distribute Administrative Officers: Ma. Leana Paula B. Kevin Ross D. Nera, Allison A. Danao, Ayhen Loisse B. Together with PNU, this Teaching Guide was studied and reviewed by education and pedagogy experts, and was enhanced with appropriate methodologies and strategies.

Furthermore, the Commission believes that teachers are the most important partners in attaining this goal. Incorporated in this Teaching Guide is a framework that will guide them in creating lessons and assessment tools, support them in facilitating activities and questions, and assist them towards deeper content areas and competencies.

How will I deeply understand this? What can I do with this? Through this Teaching Guide, Given that developing mastery When teachers empower teachers will be able to goes beyond memorization, learners to take ownership of facilitate an understanding of teachers should also aim for deep their learning, they develop the value of the lessons, for understanding of the subject independence and self- each learner to fully engage in matter where they lead learners direction, learning about both the content on both the to analyze and synthesize the subject matter and cognitive and affective levels.

This course completes the foundational knowledge on Algebra, Geometry, and Trigonometry of students who are planning to take courses in the STEM track. It provides them with conceptual understanding and computational skills that are crucial for Basic Calculus and future STEM courses. Based on the Curriculum Guide for Pre-Calculus of the Department of Education, the primary aim of this Teaching Guide is to give Math teachers adequate stand-alone material that can be used for each session of the Grade 11 Pre-Calculus course.

Each unit is composed of lessons that bring together related learning competencies in the unit. Each lesson is further divided into sub- lessons that focus on one or two competencies for effective teaching and learning.

Each sub- lesson is designed for a one-hour session, but the teachers have the option to extend the time allotment to one-and-a-half hours for some sub-lessons. As the title suggests, these exercises can be done in school if time permits or at home. Moreover, at the end of each lesson is a set of exercises simply tagged as Exercises that can be used for short quizzes and long exams.

Some items in this Guide are marked with a star. A starred sub-lesson is optional and it is suggested that these be taken only if time permits. A starred example or exercise requires the use of a calculator. To further guide the teachers, Teaching Notes are provided on the margins. These notes include simple recall of basic definitions and theorems, suggested teaching methods, alternative answers to some exercises, quick approaches and techniques in solving particular problems, and common errors committed by students.

We hope that Pre-Calculus teachers will find this Teaching Guide helpful and convenient to use. We encourage the teachers to study this Guide carefully and solve the exercises themselves. Although great effort has been put to this Guide for technical correctness and precision, any mistake found and reported to the Team is a gain for other teachers. Thank you for your cooperation. It contains classroom activities and pedagogical notes, and integrated with innovative pedagogies.

All of these elements are presented in the following parts: 1. The DepEd articulated a set of 21st century skills that should be embedded in the SHS curriculum across various subjects and tracks. These skills are desired outcomes that K to 12 graduates should possess in order to proceed to either higher education, employment, entrepreneurship, or middle-level skills development. On the other hand, the Commission declared the College Readiness Standards that consist of the combination of knowledge, skills, and reflective thinking necessary to participate and succeed - without remediation - in entry-level undergraduate courses in college.

The alignment of both standards, shown below, is also presented in this Teaching Guide - prepares Senior High School graduates to the revised college curriculum which will initially be implemented by AY Solid grounding on Philippine experience and culture; 2. An understanding of the self, community, and nation; Visual and information literacies Media literacy 3. Application of critical and creative thinking and doing processes; Critical thinking and problem solving skills 4.

Geometry demonstrate an to Adding picturesque effect on the whole architecture, geometric structures are subtly built to serve other purposes. The arch-shaped support on the main span of the bridge helps maximize its strength to withstand mechanical resonance and aeroelastic flutter brought about by heavy vehicles and passing winds. Lesson 1. Introduction to Conic Sections and Circles Time Frame: 4 one-hour sessions Learning Outcomes of the Lesson At the end of the lesson, the student is able to: 1 illustrate the different types of conic sections: parabola, ellipse, circle, hyper- bola, and degenerate cases; 2 define a circle; 3 determine the standard form of equation of a circle; 4 graph a circle in a rectangular coordinate system; and 5 solve situational problems involving conic sections circles.

Lesson Outline 1 Introduction of the four conic sections, along with the degenerate conics 2 Definition of a circle 3 Derivation of the standard equation of a circle 4 Graphing circles 5 Solving situational problems involving circles Introduction We introduce the conic sections, a particular class of curves which sometimes appear in nature and which have applications in other fields. In this lesson, we discuss the first of their kind, circles.

The other conic sections will be covered in the next lessons. An Overview of Conic Sections We introduce the conic sections or conics , a particular class of curves which oftentimes appear in nature and which have applications in other fields. One of the first shapes we learned, a circle, is a conic. When you throw a ball, the trajectory it takes is a parabola. The orbit taken by each planet around the sun is an ellipse.

Properties of hyperbolas have been used in the design of certain telescopes and navigation systems. We will discuss circles in this lesson, leaving parabolas, ellipses, and hyperbolas for subsequent lessons.

To be able to do this, we will present equivalent definitions of these conic sections in subsequent sections, and use these to find the equations. There are other ways for a plane and the cones to intersect, to form what are referred to as degenerate conics: a point, one line, and two lines. See Figures 1. Figure 1. Definition and Equation of a Circle A circle may also be considered a special kind of ellipse for the special case when the tilted plane is horizontal. For our purposes, we will distinguish between these two conics.

See Figure 1. The collection of all such points which are 5 units away from C, forms a circle. The set of all points P having the same distance from C is called a circle.

The point C is called the center of the circle, and the common distance its radius. The term radius is both used to refer to a segment from the center C to a point P on the circle, and the length of this segment.

For any such point then, its coordinates should satisfy the following. Example 1. In each item, give the standard equation of the circle satisfy- ing the given conditions. Since the technique of coefficient of x2 is already 1, we take half the coefficient of x and square it, and completing the square. This was we get When completing a square in an equation, any extra term introduced on one side should also be added to the other side.

Identify the center and radius of the circle with the given equa- tion in each item. Sketch its graph, and indicate the center. The first step is to rewrite each equation in standard form by complet- ing the square in x and in y. From the standard equation, we can determine the center and radius. They often forget the multiplier outside the parenthesis. This is the reason why in the preceding example, we divided by 16 at the last equation.

Situational Problems Involving Circles We now consider some situational problems involving circles. A street with two lanes, each 10 ft wide, goes through a semicircular tunnel with radius 12 ft. How high is the tunnel at the edge of each lane?