Lesson Plan in Linear Equation in two variables, Schemes and Mind Maps of Algebra

Lesson plan about Linear Equation in two variables for Grade eight learners.

Typology: Schemes and Mind Maps

2022/2023

Uploaded on 03/20/2023

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School Iloilo National High School Grade Level 8
Teacher Realyn Magbanua Learning Area Mathematics 8
Teaching Dates and
Time January 5, 2023 Quarter I
LESSON PLAN
I. OBJECTIVES
Objectives must be met over the week and connected to the curriculum standards. To meet the objectives, necessary procedures must be followed and if needed, additional
lessons, exercises and remedial activities may be done for developing content knowledge and competencies. These are assessed using Formative Assessment strategies. Valuing
objectives support the learning of content and competencies and enable children to find significance and joy in learning the lessons. Weekly objectives shall be derived from the
curriculum guides.
A. Content Standards The learner demonstrates understanding of key concepts of factors of polynomials, rational algebraic expressions, linear equations and
inequalities in two variables, systems of linear equations and inequalities in two variables and linear functions
B. Performance Standards
The learner is able to formulate real-life problems involving factors of polynomials, rational algebraic expressions, linear equations and
inequalities in two variables, systems of linear equations and inequalities in two variables and linear functions, and solve these problems
accurately using a variety of strategies.
C. Learning Competencies / Objectives Solves problems involving systems of linear equations in two variables
Write the LC Code for each (M8AL-Ij-2)
II. CONTENT
Content is what the lesson is all about. It pertains to the subject matter that the teacher aims to teach. In the CG, the content can be tackled in a week or two.
Solving problems involving systems of linear equations in two variables
III. LEARNING RESOURCES
List the materials to be used in different days. Varied sources of materials sustain children’s interest in the lesson and in learning. Ensure that there is a mix of concrete and
manipulative materials as well as paper-based materials. Hands-on learning promotes concept development.
A. References
1. Teacher's Guide pages
2. Learner's Materials pages
3. Textbook Intermediate Algebra II, PP. 22 – 28
4. Additional Materials from
Learning Resource (LR) portal
SLK MATHEMATICS 8
B. Other Learning Resources
IV. PROCEDURES
These steps should be done across the week. Spread out the activities appropriately so that students will learn well. Always be guided by demonstration of learning by the students
which you can infer from formative assessment activities. Sustain learning systematically by providing students with multiple ways to learn new things, practice their learning,
question their learning processes, and draw conclusions about what they learned in relation to their life experiences and previous knowledge. Indicate the time allotment for each
step.
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School Iloilo National High School^ Grade Level^8

Teacher

Realyn Magbanua

Learning Area

Mathematics 8

Teaching Dates and

Time

January 5, 2023

Quarter

I

LESSON PLAN

I. OBJECTIVES

Objectives must be met over the week and connected to the curriculum standards. To meet the objectives, necessary procedures must be followed and if needed, additional lessons, exercises and remedial activities may be done for developing content knowledge and competencies. These are assessed using Formative Assessment strategies. Valuing objectives support the learning of content and competencies and enable children to find significance and joy in learning the lessons. Weekly objectives shall be derived from the curriculum guides.

A. Content Standards

The learner demonstrates understanding of key concepts of factors of polynomials, rational algebraic expressions, linear equations and inequalities in two variables, systems of linear equations and inequalities in two variables and linear functions

B. Performance Standards

The learner is able to formulate real-life problems involving factors of polynomials, rational algebraic expressions, linear equations and inequalities in two variables, systems of linear equations and inequalities in two variables and linear functions, and solve these problems accurately using a variety of strategies.

C. Learning Competencies / Objectives Solves problems involving systems of linear equations in two variables

Write the LC Code for each (M8AL-Ij-2)

II. CONTENT

Content is what the lesson is all about. It pertains to the subject matter that the teacher aims to teach. In the CG, the content can be tackled in a week or two. Solving problems involving systems of linear equations in two variables

III. LEARNING RESOURCES

List the materials to be used in different days. Varied sources of materials sustain children’s interest in the lesson and in learning. Ensure that there is a mix of concrete and manipulative materials as well as paper-based materials. Hands-on learning promotes concept development.

A. References

1. Teacher's Guide pages

2. Learner's Materials pages

3. Textbook Intermediate Algebra II, PP. 22 – 28

4. Additional Materials from

Learning Resource (LR) portal

SLK MATHEMATICS 8

B. Other Learning Resources

IV. PROCEDURES

These steps should be done across the week. Spread out the activities appropriately so that students will learn well. Always be guided by demonstration of learning by the students which you can infer from formative assessment activities. Sustain learning systematically by providing students with multiple ways to learn new things, practice their learning, question their learning processes, and draw conclusions about what they learned in relation to their life experiences and previous knowledge. Indicate the time allotment for each step.

ACTIVITIES ASSESSMENT ACTIVITIES

A. Preliminaries

(3 minutes) a. Classroom Arrangement b. Prayer/Greeting c. Setting of Classroom Rules R- respect others U - use kind words L - listen to the teachers E- enjoy, be engaged in every activity S - solve problem and share d. Checking of Attendance e. Presenting of learning objectives.

B. Reviewing or presenting the new

lesson

1. Review on the three methods in solving systems of linear equations in two variables: graphing, substitution, and elimination.

  1. The teacher lets the students find the solution set of the following system of linear equations. They can use any of the three methods.  {2x+y=7 -x+y= Answer: The solution set is (2, 3). Motive Questions:
  2. What are the three methods in solving systems of linear equations in two variables? (The methods are graphing, substitution, and elimination.)
  3. Which method do you prefer to use? (Answers may vary.)
  4. Can you state a real life problem wherein we can apply these to our daily lives? (Answers vary.) Since we already know the different methods in solving systems of linear equations, we will now discuss the application of this to our real life situations or problems involving systems of linear equations in two variables Formative Assessment: (Listing the learner's answers)

C. Abstraction Steps in^ Solving^ Problems Involving^ Systems of Linear Equations:

a. Read and understand the problem in order to determine the given and the unknown quantities. b. Represent each unknown quantity with a variable. c. Write the equations. d. Solve the system of equations. e. Check Formative Assessment: (Listing the learner's answers)

than Tom, then xy = 10 Furthermore, since the sum of their ages five years ago is 28, then ( x − 5 ) +( y − 5 )= 28

We now have the system of equations: {

xy = 10 ( x − 5 )+( y − 5 )= 28 Solve the system of equations by elimination.

D. Application/Assessment

(10 minutes)  Find two numbers whose difference is 28 and their sum is 100.  Charmie is twice as old as her brother Carl. 8 years from now, the sum of their ages will be 37. How old are they now? Summative Assessment

E. Assignment

The sum of the measures of two angles is 180. Three times the measure of one angle is 24 less than the measure of the other angle. What is the measure of each angle? Solution: Let x = the measure of the small angle y = the measure of the large angle 3x = y – 24, the relationship between the two angles. The system of equations consists of: x+y=180 (1) 3x=y-24 (2) Solve for y in terms of x in equation (1). y = 180 – x Substitute 180 – x for y in equation (2). 3x = ( (180 – x) – 24 3x = 156 – x 4x = 156 x = 39 y = 180 – 39 y = 141 Therefore, the measures of the angles are 39° and 141°.

V. REMARKS

VI. REFLECTION

Reflect on your teaching and assess yourself as a teacher. Think about your students’ progress this week. What works? What else needs to be done to help the students learn? Identify what help your instructional supervisors can provide for you so when you meet them, you can ask them relevant questions.

A. No. of learners who earned 80% on the formative assessment B. No. of learners who require additional activities for remediation C. Did the remedial lessons work? No. of learners who have caught up with the lesson D. No. of learners who continue to require remediation E. Which of my teaching strategies worked well? Why did these work? F. What difficulties did I encounter which my principal or supervisor can help me solve? G. What innovation or localized materials did I use/ discover which I wish to share with other teachers