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Weekly Learning Plan for General Mathematics in Grade 11 HUMSS - Prof. Alvarez, Schemes and Mind Maps of Mathematics

The weekly learning plan for general mathematics in grade 11 humss at maria asuncion rodriguez tiñga highschool. The plan covers the key concepts of functions, including evaluating functions, performing operations on functions, and working with rational functions, equations, and inequalities. Detailed lesson objectives, content, resources, and activities for each day of the week. It aims to help students develop a strong understanding of the fundamental concepts of functions and their applications in real-life situations.

Typology: Schemes and Mind Maps

2023/2024

Uploaded on 08/24/2024

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MARIA ASUNCION RODRIGUEZ TIÑGA HIGHSCHOOL
Eduria St., Central Bicutan, Taguig City
WEEKLY LEARNING PLAN S/Y 2024-2025
QUARTER 1st GRADE LEVEL 11 SECTION/S HANDLED/ SCHEDULE
WEEK 3RD LEARNING AREA GENERAL MATHEMATICS 11 HUMSS ADLER -MTWTH
INCLUSIVE Dates AUGUST 19-22,2024
OBJECTIVES DAY 1 DAY 2 DAY 3 DAY 4
1. Content Standards The learner demonstrates understanding of the key concepts of the functions.
2. Performance Standards The learner is able to accurately construct mathematical models to represent real- life situation using functions
3. Learning Competencies The learner performs the 4 fundamental operations of functions
Solve problems involving functions
Represent a real life situation using rational functions
Distinguish rational functions , rational equation and rational inequality
Evaluating functions.
A. Specific Objectives Substitute values in a function
Evaluating Functions
Operations on Functions and Composition of
Functions
Quiz 1 and Checking
Rational Functions, Equations and Inequality
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Download Weekly Learning Plan for General Mathematics in Grade 11 HUMSS - Prof. Alvarez and more Schemes and Mind Maps Mathematics in PDF only on Docsity!

MARIA ASUNCION RODRIGUEZ TIÑGA HIGHSCHOOL

Eduria St., Central Bicutan, Taguig City

WEEKLY LEARNING PLAN S/Y 2024-

QUARTER (^) 1st GRADE LEVEL (^) 11 SECTION/S HANDLED/ SCHEDULE WEEK (^) 3RD LEARNING AREA (^) GENERAL MATHEMATICS 11 HUMSS ADLER -MTWTH INCLUSIVE Dates AUGUST 19-22, OBJECTIVES DAY 1 DAY 2 DAY 3 DAY 4

  1. Content Standards The learner demonstrates understanding of the key concepts of the functions.
  2. Performance Standards The learner is able to accurately construct mathematical models to represent real- life situation using functions
  3. Learning Competencies The learner performs the 4 fundamental operations of functions Solve problems involving functions Represent a real life situation using rational functions Distinguish rational functions , rational equation and rational inequality Evaluating functions. A. Specific Objectives Substitute values in a function Evaluating Functions Operations on Functions and Composition of Functions Quiz 1 and Checking Rational Functions, Equations and Inequality

Content/TOPICS Evaluating Functions^ Operations on Functions and Composition of Functions Learning RESOURCES PROCEDURE MELCS in Gen Math , videos involving Evaluating function(wow Math) Power point /module in Gen Math, MELCS in Gen Math, videos involving operations on functions and composition of functions(wow Math) Power point /module in Gen Math, MELCS in Gen Math, videos involving functions/piecewise, evaluates function (, operations on functions (wow Math) Power point /module in Gen Math, MELCS in Gen Math, videos involving rational functions, equations, and inequality (wow Math) Power point /module in Gen Math, Classroom Routine Prayer, greetings, cleaning, checking of attendance. Prayer, greetings, cleaning, checking of attendance Prayer, greetings, cleaning, checking of attendance Prayer, greetings, cleaning, checking of attendance A. ● Reviewing previous lesson or present ting new lesson. Recall the previous lesson (^) Recall how to evaluate functions. How do we do operations on polynomials? How do we add and subtract algebraic expression?

  1. Find the LCD of both fractions.
  2. Rewrite the fractions as equivalent fractions with the same LCD.
  3. The LCD is the denominator of the resulting fraction.
  4. The sum or difference of the numerator is the numerator of the resulting fraction. Example 1. Find the sum of 1/3+ 2/ Give them 5 minutes review of the previous lessons Recall the previous lessons. Recall the concept of domain and range

B Establishing a purpose of the lesson. If a strawberry inside the machine then the out put will become ice drop. Do you still remember the rules on the laws of exponents? Perform the indicated operations.

  1. (4x-3 )+ (3x-2)
  2. (2x-3)(x+4) To determine whether the students understand the last week lesson Illustrate the following: table of values, possible graphs of functions C ●.Presenting examples /instances of the new lesson The classic way of writing a function is f(x) To evaluate a function is to replace or substitute ariables with a given number of expressions. It is recommended putting the substitute valiues in a parenthesis( so that you dou don’t make mistakes) Show the operations on functions D. Discussing new concepts and practicing new skills #1. Performing these operations on functions is no more complicated than the notation itself.  addition: (g + h)(x) = g(x) + h(x)  subtraction: (g − h) (x) = g(x) − h(x)  multiplication: (g × h)(x) = g(x) × h(x)  division: (g ÷ h)(x) = g(x) ÷hx Rational Equation Rational inequalit y Rational Function definition An equation involving rational expressio ns An inequalit y involving rational expressio ns A function of the form f(x)=p(x)/q(x ) where p(x) and q(x) are polynomials and q(x) is not the zero function example 2/x-3/2x= 1/ 5/x-3<2/x f(x)=x^2 +2x+ x+ or y=x^2 +2x+ x+

E. Discussing new concepts and practicing new skills # Working exercises on function operations is really nothing more than applying the arithmetic you've always used Given f (x) = 3 x + 2 and g(x) = 4 − 5 x, find (f + g)(x), (f − g)(x), (f × g)(x), and (f / g)(x) (f + g)(x) = f (x) + g(x) = [3x + 2] + [4 − 5x] = 3x + 2 + 4 − 5x = 3x − 5x + 2 + 4 = −2x + 6 (f − g)(x) = f (x) − g(x) = [3x + 2] − [4 − 5x]

Evaluate the following G● Finding practical Applications of concepts and skills in daily living. Using technologies / machine nowadays make the task easier to finnish for example making a bread, sewing(speed)communications using internet& Verify the special relationship in the pair of fractions (f0g)x and (g0f)=x. Please show your complete solution If f(x)=3x-2 and g(x) =1/3 (x+2) Think of a situation that applies function.

H. Making generalization and abstraction about the lesson. The classic way of writing a function is f(x) To evaluate a function is to replace or substitute ariables with a given number of expressions. It is recommended putting the substitute valiues in a parenthesis( so that you dou don’t make mistakes LET THEM STATE THE CONCEPT LEARNED LET THEM STATE THE CONCEPT LEARNED Rational functions are the indicated of quotient of two polynomials.Rational expressions are also called algebraic expressions.The following 1 , x^2 +3x+2, x^2 +4x- 5x^3 x+4 2 The following are not rational expressions. I. Evaluating learning. Teacher will provide activity involving 4 ways to determine function Evaluate the ff.

  1. fx= 3x+4 if x= 2
  2. gx =1-x + x^2 when x=
  3. hx= x^2 +2 for x= - Teacher will provide activities involving the operations on functions. Teacher will provide activities involving 5 ways to determine function,piece wise function and evaluate functions and operations on function least 85% of the students must be able to get the passing score (70% of the total number of items Teacher will provide activities involving the operations on functions. J. Additional activities for application or remediation