A sample diagnostic test for General Mathematics based on the curriculum guide.Full description
At the end of the course, the students must know how to solve problems involving rational, exponential and logarithmic functions; to solve business-related problems; and to apply logic to re…Full description
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SHS Grade 11 Math
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Descripción: Maths Quest Preliminary Mathematics General Fourth Edition is written for the NEW Mathematics General Stage 6 Syllabus. This text provides comprehensive coverage of the five strands: Financial M...
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GRADE 11 DAILY LESSON LOG
School Teacher Teaching Dates and Time
Monday I.OBJECTIVES A. Content Standard B. Performance Standard C. Learning Competency/Object ives
Tuesday
Grade Level Learning Area Quarter
Wednesday
11 - SANTAN GENERAL MATHEMATICS FIRST QUARTER – WEEK 1
Thursday
Friday
The learner’s demonstrate an understanding of the key concepts of functions The learner’s shall be able to accurately construct mathematical models to represent real – life situations using functions.
M11GM-Ia-1 & M11GM-Ia-4
M11GM-Ia-2 & M11GM-Ia-4
M11GM-Ia-3 & M11GM-Ia-4
M11GM-Ia-3 & M11GM-Ia-4
Functions as Models
Functions as Models (Piecewise) Operations on Functions
Composition of Functions
Composition of Functions
II.CONTENT
III.LEARNING RESOURCES A. References 1. Teacher’s Guide pages
2.
Learner’s
Materials pages 3. Textbook pages 4. Additional Materials from Learning Resource (LR)portal B. Other Learning Resource IV.PROCEDURES
Teaching Guide for Senior High School General Mathematics pp. 1-11 N/A
General Mathematics Orlando A. Oronce www.yaymath.com www.quipperschoolco m
General Mathematics
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A. Reviewing previous lesson or presenting the new lesson
Review on the functions from Junior High School
Review of Previous Lesson
B. Establishing a purpose for the lesson
Mention that we will represent mathematical relations as machines with an input and an output is related to the output by some rule.
Some situation can only be desired by more than one formula, depending on the value of the dependent variable Evaluating a function means replacing the variable in the function and computing for the result.
C. Presenting examples/Instance s of the new lesson
Functions and relations as a table of values
Taxes rate in the Philippines
Functions as a graph in the Cartesian plane
D. Discussing new
Answer the guide
Evaluate a number(integers, fractions and decimals) on different functions Answer the guide
Do a quick review of the rules of adding, subtracting, multiplying and dividing fractions and algebraic expressions The important concept that the students need to understand in this lesson is that adding, subtracting and multiplying two or more functions together will result in another function. Dividing two functions together will also result in another function if the denominator or divisor is not the zero function Writing new rule: addition, subtraction, multiplication and division
Discussion of worksheets
Recall in the discussion of the five machines that the output of the machine was connected to the input of another machine. Ask the class how a similar scenario can be applied to the functions discussed. Using a function as an input leads us to function composition.
Evaluate a number: addition, subtraction, multiplication and division.
Evaluate a number: composition and linear combination
Answer the guide questions
Answer the guide questions
Writing new rule: composition and linear combination
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application of concepts and skills in daily living H. Making generalizations and abstractions about the lesson
I.
Evaluating learning J. Additional activities for application or remediation V.REMARKS VI.REFLECTION
of functions in our everyday life Provide a real world example or scenario that can be expressed as a relation that is not a function. Provide a real world example or scenario that can be modelled by a linear function Seat work More exercises
Worksheets can be given as an assignment
How do we denote a functional relationship between two variables x and y?
Like numbers functions can be added, subtracted, multiplied or divided. Ask students to enumerate the definitions for operations on functions.
What is composite function? What are the basic steps in evaluating a composite function?
Seat work
Seat work
Seat work
More exercises
More exercises
More exercises
Which of the variables is dependent? Which is independent variable?