ILG for Basic Math - This is a tool for educators for them to be guided in their learning process. PDF

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This is a tool for educators for them to be guided in their learning process.
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ST. PAUL COLLEGE FOUNDATION, INC. “Doctrina Praecellentes Commissum” Bulacao, Pardo / Ramos / Mandaue Campuses

College of Education Bulacao Campus

COURSE-INDEPENDENT LEARNING GUIDE (For Asynchronous, Self-Directed Distance Learning) Course No. Course Title: Credit Units: No. of Weeks: Day: Time: Topic #

1

GE Basic Mathematics Three (3) Five (5) TBA TBA Course Topics

Numbers A. Natural and Whole Number B. Operations with Whole Numbers C. Factors and Multiples of

I.

Learning Objectives

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Identify the place value in each digit in base ten numeration Read numbers in base ten numeration Distinguish between natural and whole

Learning Materials (PDF-Links) (Internet Links, Links for YouTube videos, Links for Articles, Journals, Case Studies and other materials are shown here)    

Required Output (Graded) Note: Output submission in 1 modular output every week.

http://www.navybmr.com/study Activity to do: %20material/NAVEDTRA%2014139.pdf  Video-watching https://www.lanecc.edu/sites/default/files/m  Pair-sharing or small group sharing ath/mth10revsheets.pdf  Whole class discussion http://www.mathematicalmagic.com/docs/ma  Virtual Oral Demonstration thsmagic_full.pdf https://florida.theorangegrove.org/og/file/a9

Numbers   

numbers. Identify even, odd and prime numbers. Use the four operations in solving word problems Use factors or multiples to find the LCM and GCF

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2

I. II. a.

b. c.

III. IV. a. b. c. d.

Integers Fractions Proper, Improper and Mixed Numbers Comparison of Fractions Operations on Fractions Decimals and Percentages Units Units of Length Units of Mass Units of Time Units of Capacity

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Identify integers Perform operations on integers Distinguish proper, improper and mixed numbers Simplify fractions Perform operations on fractions Solve world problems involving fractions. Convert fractions to terminating and viceversa. Perform operations on decimals Apply percentages in daily life Perform computations

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d0bdc1-46bd-4f52-8fed15e00d68d68c/1/fundamental_math.pdf https://www.usf.edu/intousf/documents/mat h_vocabulary_and_common_symbols.pdf https://www.math.uh.edu/~irina/MATH1300/ Notes1300/1300S11.pdf https://users.math.msu.edu/users/kadyrova/h andouts/HO_01.pdf https://www.lsco.edu/learningcenter/RealNu mberChart.pdf https://www.youtube.com/watch? v=3YwrcJxEbZw https://www.youtube.com/watch? v=IueVrMlmQ2I

Project Method  Making a number chart and number line in MS PPT format.  Factor Tree Diagram in pdf format  Video presentation of Numbers

http://www.navybmr.com/study %20material/NAVEDTRA%2014139.pdf https://www.lanecc.edu/sites/default/files/m ath/mth10revsheets.pdf http://www.mathematicalmagic.com/docs/ma thsmagic_full.pdf https://florida.theorangegrove.org/og/file/a9 d0bdc1-46bd-4f52-8fed15e00d68d68c/1/fundamental_math.pdf https://www.usf.edu/intousf/documents/mat h_vocabulary_and_common_symbols.pdf https://www.bucks.edu/media/bcccmedialibr ary/tutoring/documents/math/Integers.pdf http://www.wallace.ccfaculty.org/book/0.1%2 0Integers.pdf https://www.scu.edu.au/media/scueduau/cur rent-students/studyresources/numeracy/Fractions.pdf https://www.nuffieldfoundation.org/sites/def

Activities to do:  Virtual Lecture – Fora  Virtual Group Dynamics  Think-pair-share activity of Number line  Making a Venn Diagram Presentation using MS PPT of Fractions  Individual reporting via zoom  Making diagrams using excel Evaluation Requirements: A. Writing Exercise Sets (pdf form) B. Quiz Standards/Basis for Grading to Use. Use numerical scores.

on the different metric units. 

3

Geometry Points and Lines Angles Constructions Polygons and Regions e. Circles

I.

a. b. c. d.

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4

I.

ALGEBRA

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ault/files/files/FSMQ%20Fractions %20decimals%20and%20percentages.pdf http://www.dot.state.wy.us/files/live/sites/wy dot/files/shared/Highway_Development/Surv eys/Survey%20Manual/Appendix%20G%20%20Units%20of%20Measure.pdf

Prelim Examinations (face-to-face assessment) for Higher Education For Basic Education, face-to-face assessment is monthly for the next 10 months NOTE: EXAMINATION PERMIT IS REQUIRED.  https://youtu.be/diWr404fvVQ Activities to do: Explain the concept of  https://youtu.be/CbrxTrRpsf a point.  Geometric Construction  BASIC-GEOMETRIC-C5.pdf Extend the concept of  Small Group Virtual Discussion  https://study.com/academy/topic/basica point to draw a line  Multimedia Presentation Output geometric-constructions.html Distinguish between a  Class Lecture - Fora  https://www.lanecc.edu/sites/default/files/m line, a line segment Project Based-Assessment ath/mth10revsheets.pdf and a ray. A. Online exhibit of created or collected  http://www.navybmr.com/study Draw and measures indigenous designs. %20material/NAVEDTRA%2014139.pdf angles of different  http://www.mathematicalmagic.com/docs/ma sizes using a Evaluation Requirements: thsmagic_full.pdf protractor A. Home Problem Working Set (pdf)  https://florida.theorangegrove.org/og/file/a9 Solve angles d0bdc1-46bd-4f52-8fedB. Written Assessment (pdf) Construct different geometric lines Solve problems involving polygons and regions Describe different parts of a circle. Solve problems involving circles Use symbols to form

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15e00d68d68c/1/fundamental_math.pdf https://www.usf.edu/intousf/documents/mat h_vocabulary_and_common_symbols.pdf https://gatodocs.its.txstate.edu/slac/Subject/Math/PreAlgebra/Basic-Geometiric-Formulas-andProperties/Basic%20Geometiric%20Formulas %20and%20Properties.pdf

http://www.navybmr.com/study

Activities to do:

a. Algebraic Operations b. Equations in One Unknown c. Equations in Two Unknowns d. Inequalities II. Numbers a. Rational Numbers b. Irrational Numbers c. Real Numbers III. Ratio, Profit and Loss a. Ratio b. Profits and Loss c. Simple Interest

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5

Coordinate Geometry a. Coordinates of a Point b. Slope of a Line c. Equation of a

I.

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%20material/NAVEDTRA%2014139.pdf algebraic expressions  Lectures  https://www.lanecc.edu/sites/default/files/m and simplify  Work with appropriate computer statistical ath/mth10revsheets.pdf Form and solve an software  http://www.mathematicalmagic.com/docs/ma equation from world  Class discussions via zoom app thsmagic_full.pdf problems. A. Problem Set (pdf, word format)  https://florida.theorangegrove.org/og/file/a9 Solve simultaneous B. Working Quiz (pdf) d0bdc1-46bd-4f52-8fedlinear equations. 15e00d68d68c/1/fundamental_math.pdf Solve linear  https://www.usf.edu/intousf/documents/mat inequalities from h_vocabulary_and_common_symbols.pdf practical situations  https://people.ucsc.edu/~miglior/chapter Perform the basic %20pdf/Ch01_SE.pdf operations on rational numbers Solve related practical problems Express a ratio in its simplest form Find profit or loss Calculate percentage profit and percentage loss Solve real life problems related to simple interest. Midterm Examinations (face-to-face assessment) for Higher Education For Basic Education, face-to-face assessment is monthly for the next 10 months NOTE: EXAMINATION PERMIT IS REQUIRED. i. http://www.navybmr.com/study Read the coordinates Activities to do: %20material/NAVEDTRA%2014139.pdf of a point.  Virtual Lecture – Fora ii. https://www.lanecc.edu/sites/default/files/m Plot a point given its  Think-pair-share activity of graphing ath/mth10revsheets.pdf coordinates mathematical software iii. http://www.mathematicalmagic.com/docs/ma Locate a point on the  Multimedia Presentation thsmagic_full.pdf coordinate plane.  Individual reporting via zoom

Line d. Graphs of Linear Equations e. Simultaneous Equations II. Perimeters and Areas a. Quadrilaterals b. Circumference of a Circle c. Rectangles and Triangles d. Trapezium and Parallelogram e. Area of Circle

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7

I. a. b. c.

II. a. b. c.

Exponents and Radicals Exponents Radicals Transposition of Formula Algebra Binary Operations Quadratic Expressions Quadratic

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iv. https://florida.theorangegrove.org/og/file/a9 Form the table of  Making a diagram using excel d0bdc1-46bd-4f52-8fedvalues Evaluation Requirements: 15e00d68d68c/1/fundamental_math.pdf Drawn the graph of a A. Writing Exercise Sets (pdf form) v. https://www.usf.edu/intousf/documents/mat linear equation B. Quiz h_vocabulary_and_common_symbols.pdf Find perimeters of vi. https://gatotriangle and Standards/Basis for Grading to Use. docs.its.txstate.edu/slac/Subject/Math/Prequadrilaterals. Use numerical scores. Algebra/Basic-Geometiric-Formulas-andCalculate the Properties/Basic%20Geometiric%20Formulas circumference of a %20and%20Properties.pdf circle. Calculate areas of rectangles and triangles. Calculate the area of trapezium and parallelogram. Calculate areas of circles. Semi-Final Examinations (face-to-face assessment) for Higher Education For Basic Education, face-to-face assessment is monthly for the next 10 months NOTE: EXAMINATION PERMIT IS REQUIRED. i. http://www.navybmr.com/study Activities to do: List and verify the laws %20material/NAVEDTRA%2014139.pdf of exponents.  Virtual Lecture – Fora ii. https://www.lanecc.edu/sites/default/files/m Apply the laws of  Think-pair-share activity of graphing ath/mth10revsheets.pdf exponents in mathematical software iii. http://www.mathematicalmagic.com/docs/ma computations.  Multimedia Presentation thsmagic_full.pdf Simplify radicals  Individual reporting via zoom iv. https://florida.theorangegrove.org/og/file/a9 Perform basic  Plotting - Graphing exercises d0bdc1-46bd-4f52-8fedoperations on radicals. 15e00d68d68c/1/fundamental_math.pdf Transpose a formula Evaluation Requirements: v. https://www.usf.edu/intousf/documents/mat with square roots and A. Problem Set (pdf) h_vocabulary_and_common_symbols.pdf square. B. Exercise Worksheet (pdf) vi. http://www.cimt.org.uk/projects/mepres/alev Describe the binary

Equations Logarithms Sequences and Series a. Sequences b. Series

III. IV.

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

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operations. Form a quadratic expression from two linear factors. Write the general form of quadratic expression. Determine the solution of a quadratic equation by factorization. Find the solution of a quadratic equation by completing the square. Perform computations which involve multiplication and division of numbers expressed in standard form. Apply laws of logarithms to find products, quotients, roots and powers of numbers. Identify an arithmetic progression and geometric progression. Derive the formula for a sum of an arithmetic progression and geometric progression.

el/fpure_ch6.pdf

Sample Integrating Project: (by groups)

Add more topics here in order to satisfy the required number of hours in a semester. Final Examinations (face-to-face assessment) for Higher Education For Basic Education, face-to-face assessment is monthly for the next 10 months NOTE: EXAMINATION PERMIT IS REQUIRED.

CULMINATION/TERMINAL OUTPUTS 1. Submission of the various reaction papers on a per topic basis. Please see the guide questions. Submit the requirement as wordprocessed. 2. Powerpoint Presentation or Self-Made Video-clip of the Topic Assigned to you. 3. Synthesis for Journals, Case Studies or Articles. 4. On-time submission of the deliverables. 5. Others: ____________ [Important: Terminal Outputs are DUE one week after the semester] GE 04 (Mathematics in the Modern World) List of Enrollees 1. 2. 3. 4. 5. 6. 7. 8. 9.

Email Address/es

Mobile Number/s

10.

Note: By enrolling in the course, and by requesting for the email addresses and mobile number of your classmates, you are waiving your rights under the Data Privacy Law and are giving consent to the mutual release of your email address and related personal data to students enrolled in the course.

RENNIL S. BORNIA, LPT Course Professor Email Address: [email protected]

MR. BENLY S. FORMOSO Program Chair, College of Education...