Republic of the Philippines
DEPARTMENT OF EDUCATION
Region VII, Central Visayas
DIVISION OF BOHOL
Instructional Planning (iPlan)
(With inclusion of the provisions of D.O. No. 8, s. 2015 and D.O. 42, s. 2016)
Detailed Lesson Plan (DLP)
Date:
Duration: 45
DLP No. 7 Learning Area: Mathematics Grade Level: 7 Quarter: 4th
minutes
Solve simple equations represented by bar models to find unknowns Code:
Learning Competency:
Key Concepts/
Students will learn how to use bar models as a visual tool to represent and solve simple
Understanding to be
algebraic equations in order to find the unknown values.
Developed:
Knowledge Define bar models
Skills Represent and solve simple algebraic equations using bar models
Attitudes Develop willingness to explore and use bar models as a tool for
1. OBJECTIVES
solving equations
Values Appreciate the importance of accuracy and clear representation in
solving mathematical problems
2. CONTENT Algebraic Expressions
3. LEARNING Lesson Exemplar for Mathematics 7 (4th Quarter) page 4-5
MATERIALS Hornigold, J. (2023, January 25). How to make the most of bar modelling for maths
/RESOURCES: mastery. Maths – No Problem! Maths Mastery for Primary School Education.
https://mathsnoproblem.com/blog/teaching-maths-mastery/making-the-most-of-bar-
modelling
Television, Tablet, Chalk and Chalkboard, Power point presentation
4. PROCEDURES
4.1 Introductory Activity Class Activity
(5 minutes) “Find Me”
Find the hidden words in the grid below. Have fun searching!
4.2 Activity Class Activity
(10 minutes) “Where's My Match?”
The teacher will draw bar models on the board. Using Spin the Wheel, the teacher will
select some students to match the equation to its corresponding bar model.
After matching the equations on its bar models, the teacher will write some algebraic
equations on the board. Using Spin the Wheel, the teacher will select some students to
match bar models to its corresponding equations.
The teacher will check if the matches are correct after the matching activity.
4.3 Analysis 1. How does using bar model help you understand an equation better?
(5 mins.) 2. Why is it important to accurately represent numbers in a bar model?
4.4 Abstraction What is a Bar Model?
(10 mins.) It’s a method for visualizing a m problem where bars or rectangles represent known numbers
and unknown numbers.
Components of a Bar Model:
1. Known Values: These are segments with specified values.
2. Unknown Values: Segments that we need to find.
3. Total Value: This is the sum of all segments.
Examples:
Benefits of Bar Models
1. Simplification: Breaks down complex problems into manageable visual parts
2. Visualization: Helps students see the relationships between numbers and understand
concepts better.
3. Engagement: Makes learning interactive and fun
Conclusion
Bar models are a powerful tool for students to learn and solve equations. By visualizing
parts of an equation, bar models make abstract concepts tangible, paving the way for a
deeper understanding of algebra.
4.5 Application Represent the given algebraic equation into a bar model.
(5 mins.) Equation Bar Method
x + 8 = 15
5 + x = 10
4.6 Assessment (Pencil-Paper Test)
(6 mins.) Represent the given algebraic equation into a bar model and find the unknown values.
Equation Bar Method Value of the Unknown
1. 2x – 5 = 13
2. 2x + 12 = 28
3. 3x – 4 = 2x + 5
4.7 Assignment Individual Activity
(2 mins.) Answer the following problems by using bar method.
1. Maria has 5 apples. She buys some more apples and now has a total of 8 apples. How many
apples did she buy?
2. John has 7 marbles. He gives 2 marbles to his friend. How many marbles does he have
left?
3. There are 4 red balloons and some blue balloons. In total, there are 9 balloons. How many
blue balloons are there?
4.8 Concluding Activity The teacher ends the class leaving the quote by William Paul Thurston:
(2 mins.) "The only way to learn mathematics is to do mathematics is to do mathematics"
5. REMARKS
6. REFLECTIONS
Prepared by:
WENDY LYN H. EDRADAN
Student Intern
Checked by:
MRS, AURA G. PAJUTA
Cooperating Teacher
