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Pre-Calculus: Senior High School SHS Teaching Guide


Pre-Calculus Teaching Guide for Senior High School

The Pre-Calculus course bridges Basic Mathematics and Calculus. 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.

The Guide is divided into three units: Analytic Geometry, Summation Notation and Mathematical Induction, and Trigonometry. Each unit is composed of lessons that bring together related learning competencies in the unit. Each lesson is further divided into sublessons that focus on one or two competencies for effective teaching and learning. Each sublesson 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.

Each sub-lesson ends with a Seatwork/ Homework, which consists of exercises related to the topic being discussed in the sub-lesson. 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. Answers, solutions, or hints to most items in Seatwork/ Homework and Exercises are provided to guide the teachers as they solve them.

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.

DOWNLOAD: Senior High School SHS Teaching Guides

Pre-Calculus – Specialized Subject / Academic-STEM

Senior High School SHS Teaching Guides PreCalculus

DOWNLOAD: Pre-Calculus

Source: CHED K-12 Transition Program

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License. No changes have been made.


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  1. Dave Ugpo says

    Can I still proceed on engineering course if I take ABM in SENIOR HIGH?

  2. D. P. Garcia says

    Hello, my son is grade 11 under stem strand, pano po un kasi ung school nya wala silang pre calculus na subject ngayong 1st sem, ok lang ba na walang ganung subject? Ang math nila general math. Hindi ba makaka apekto sa kanya yun pagdating nya ng college. Lets say engineering un course nya na gusto s college, pano yun, wala cyang alam pagdating s calculus, me subject pa rin bang calculus sa college?

  3. jovelyn d. ayang-ang says

    sir may have a complete copy of the text. thank you!

  4. jovy mendoza says


    I am an Engineer and I saw the syllabus of Math on STEM. There are so many topics that are being taught by teachers which are stated in the syllabus that will not be use by the students in college/engineering courses.

    wish you can improve on the lessons to be taught.

    also in basic calculus why is it the equations of the line (general equation, point slope form, two point form, intercept form) is not included in the syllabus. also, the application of integration and differentation (maxima minima, time rates, velocity application, finding the volume etc( is not included.

    add to that the 4 step rule in evaluating a problem in differentiation. and many others…

    1. John Ray Tiangco says

      The equations of the line (general equation, point slope form, two point form, intercept form) is already covered at GRADE 8 Mathematics

      The application of integration and differentation (maxima minima, time rates, velocity application, finding the volume etc., is part of the college curriculum, although this is SENIOR HIGH SCHOOL, the curriculum only focuses on the BASICS of CALCULUS and application is where you are going to use your knowledge about BASICS of CALCULUS and hence must be thought on college courses as part of higher mathematics

  5. 11conandoyle says

    sir pahingi po kami ng complete copy. thanks!

  6. gerger25 says

    paki complete po yung teacher’s guide para po di kame mahirapan thanks

  7. leven Egay says

    i like to have the complete copy of this book pls.. thankyou

  8. Francis lloyd Otordos says

    I would like to request the complete copy of this book if posible . Thank you

  9. Jason I. Villanueva says

    I would like to request the complete copy of this book. Salamat Po!

  10. Jade Sencio says

    Is this TG only for the first part of the lesson?

  11. nemeros says

    Sir, kindly download the remaining pages. Thanks

  12. Owen Blanco says

    There are some missing pages especially with Pre Cal and Calculus teaching guide.