A Semi

A Semi – Detailed Lesson Plan in Mathematics
For Grade – 4
I. OBJECTIVES
At the end of the lesson, the students should be able to:
a. identify the parts of the circles;
b. illustrate a circle and the terms related to it: center, radius, diameter, chord, secant,
and tangent;
c. develop the value of determination in acquiring the skills.
II. SUBJECT MATTER
Topic: Parts of circles
Reference: Mathematics grade – 4rth
Circles and its parts, Craig N. Refugio,PhD,Mr. Rolan V. Narciso (2019).
Materials: blackboard, chalk, laptop, overhead projector, charts, worksheets
III. PROCEDURE
A. Routine
Greetings!
Prayer.
Checking of attendance.
B. Review
The teacher will ask the learners to share what they have learned from the past
lesson.
C. Motivation
The learners will play the game “BRING ME”
- Coins, water bottle cap, circular bracelets, circular plates and etc.
D. Lesson proper
1. The teacher will define the parts of the circles.
 Circle: A circle is the set of all points equidistant from a central point.
 Arc: a curved line that is part of the circumference of a circle.
 Chord: a line segment inside a circle which joins two points of the circle with each
other. (Which may not pass though center of circle?)
 Circumference: the total distance around the circle.
 Diameter: the line segment which joins the two points of circle by passing through the
center of circle.
 Center of circle:the point from where all the points of circle are at equal distance.
 Pi (π): A number, 3.14152… that equal to the circumference / diameter of any circle.
 Radius: distance from center of circle to any point on it.
 Tangent of Circle: a line perpendicular to the radius that touches only one point on the
circle.
2. The teacher will illustrate a circle and the terms related to it: center, radius,
diameter, chord, secant, and tangent. (more examples in pp)
E. Application
The teacher will draw the following circles on board and ask the learners what
is the relation between radius and diameter?
1. What is AB?
2. What is KM?
3. What is point A?
F. Generalization
IV. EVALUATION
Instruction: Write the name of each circle, radius, and diameter.
V. ASSIGNMENT
Instruction: Identify the elements for each problem.
Prepared by: Leneje P. Lopate

A Semi – Detailed Lesson Plan in Mathematics
For Grade 4
I. OBJECTIVES
a. convert between different units of measure;
b. compare large or small numbers using scientific notation; and
c. perform operations with numbers expressed in scientific notation.
II. SUBJECT MATTER
Topic: Scientific Notation
Reference: https://byjus.com/maths/scientific-notation/
https://www.liveworksheets.com/uq1525636ap
Materials: laptop, TV/overhead projector, blackboard, chalk,
III. PROCEDURE
A. Routine
Greetings!
Prayer.
Checking of attendance.
B. Review
The teacher will ask the learners what are the subsets of the real numbers.
C. Lesson Proper
1. The teacher will discuss about scientific notation.
Scientific notation – the scientific notation helps us to present the numbers which
are very huge or very tiny in a form of multiplication of single-digit numbers and
10 raised to the power of the respective exponent. The exponent is positive if the
number is very large and it is negative if the number is very small.
The general representation of scientific notation is: a × 10b ; 1 ≤ a < 10

2. The teacher will discuss the scientific notation rules.
Scientific Notation Rules
To determine the power or exponent of 10, we must follow the rule listed below:
 The base should be always 10
 The exponent must be a non-zero integer, that means it can be either positive or
negative
 The absolute value of the coefficient is greater than or equal to 1 but it should be less
than 10
 Coefficients can be positive or negative numbers including whole and decimal
numbers
 The mantissa carries the rest of the significant digits of the number
Let us understand how many places we need to move the decimal point after the single-digit
number with the help of the below representation.
1. If the given number is multiples of 10 then the decimal point has to move to the left,
and the power of 10 will be positive.
Example: 6000 = 6 × 103 is in scientific notation.
2. If the given number is smaller than 1, then the decimal point has to move to the right,
so the power of 10 will be negative.
Example: 0.006 = 6 × 0.001 = 6 × 10-3 is in scientific notation.
Scientific Notation Examples
The examples of scientific notation are:
490000000 = 4.9×108
1230000000 = 1.23×109
Positive and negative exponent
When the scientific notation of any large numbers is expressed, then we use positive
exponents for base 10. For example:
20000 = 2 x 104, where 4 is the positive exponent.
When the scientific notation of any small numbers is expressed, then we use negative
exponents for base 10. For example:
0.0002 = 2 x 10-4, where -4 is the negative exponent.
From the above, we can say that the number greater than 1 can be written as the expression
with positive exponent, whereas the numbers less than 1 with negative exponent.
D. Application
Problems and Solutions
Question 1: Convert 0.00000046 into scientific notation.
Solution: Move the decimal point to the right of 0.00000046 up to 7 places.
The decimal point was moved 7 places to the right to form the number 4.6
Since the numbers are less than 10 and the decimal is moved to the right. Hence, we use a
negative exponent here.
⇒ 0.00000046 = 4.6 × 10-7
This is the scientific notation.
Question 2: Convert 301000000 in scientific notation.
Solution: Move the decimal to the left 8 places so it is positioned to the right of the leftmost
non zero digits 3.01000000. Remove all the zeroes and multiply the number by 10.
Now the number has become = 3.01.
Since the number is greater than 10 and the decimal is moved to left, therefore, we use here a
positive exponent.
Hence, 3.01 × 108 is the scientific notation of the number.
E. Generalization
How do you write 0.00001 in scientific notation?
The scientific notation for 0.0001 is 1 × Coefficient = 1
10^{-4}. Base = 10
Here, Exponent = -4
What are the 5 rules of scientific notation?
The five rules of scientific notation are given below:
1. The base should be always 10
2. The exponent must be a non-zero integer, that means it can be either positive or negative
3. The absolute value of the coefficient is greater than or equal to 1 but it should be less than
10
4. Coefficients can be positive or negative numbers including whole and decimal numbers
5. The mantissa carries the rest of the significant digits of the number
What are the 3 parts of a scientific notation?
The three main parts of a scientific notation are coefficient, base and exponent.
How do you write 75 in scientific notation?
The scientific notation of 75 is:
7.5 × 10^1 = 7.5 × 10
Here,
Coefficient = 7.5
Base = 10
Exponent = 1
IV. EVALUATION
V. ASSIGNMENT
Instruction: Prepare or write 5 scientific notation and let your friend or classmate
answer and vice versa.

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A Semi – Detailed Lesson Plan in Mathematics

Prepared by: Leneje P. Lopate

The general representation of scientific notation is: a × 10b ; 1 ≤ a < 10

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