Subject: Mathematics
Grade Level: Grade 7
Objective:
1. Write numbers in scientific notation to represent very large or very small numbers,
and vice versa.
2. Understand the concept of scientific notation to represent very large or very small
numbers.
3. Apply the concept of scientific notation in real-life situations.
I. Before the Lesson / Pre-lesson Proper
Learning within the curriculum:
1. Decimal Notation - Students will learn how to convert between decimal and
scientific notation, reinforcing their understanding of place value and magnitude.
2. Exponents - Understanding exponents as they relate to scientific notation, which
provides a basis for working with large and small numbers.
Learning across the curriculum:
1. Science - Students will explore how scientific notation is used in fields like
chemistry and physics to express quantities like the distance to stars or the size of
atoms.
2. Geography - Understanding population figures or distances can involve scientific
notation, showcasing its application in real-world statistics.
Activating Prior Knowledge:
Teaching Strategy: Interactive/Integrated Learning
Instructional Materials: Whiteboard and markers, number cards.
Energizer 1: Number Line Race - Students will arrange themselves in a line
according to the value of numbers they hold (some in standard form and some in
scientific notation) to visualize the concept of magnitude.
Energizer 2: Think-Pair-Share - Students will discuss with a partner examples of
large or small numbers they encounter in daily life and share with the class.
Establishing Lesson Purpose / Intention:
Today, we will explore scientific notation, a powerful way to express very large or
very small numbers efficiently. This knowledge will help us in various real-life
applications, such as understanding distances in space or measurements in science.
Lesson Language Practice/Unlocking of Difficulties:
Key Terms:
1. Scientific Notation
2. Exponent
3. Coefficient
Key Concepts:
1. Scientific notation simplifies the representation of very large or very small numbers
using powers of ten.
2. The format of scientific notation is a number between 1 and 10 multiplied by a
power of ten.
II. During the Lesson Proper
Reading the Key Idea:
Scientific notation allows us to express large or small numbers in a manageable
form, making calculations and comparisons easier.
Developing Understanding of the Key Idea:
Activities
Activity 1: Scientific Notation Conversion
Teaching Strategy: Cooperative Learning
Materials: Worksheets with numbers in standard form and scientific notation.
Significance: Students will practice converting between standard and scientific
notation in pairs, enhancing their understanding through collaboration.
Instructions:
1. Work with a partner to convert the given numbers from standard form to scientific
notation and vice versa.
2. Discuss the steps you took to make the conversions.
3. Share your answers with the class.
Rubrics:
- Accuracy of Conversions: 5 pts.
- Clarity of Explanation: 5 pts.
- Participation: 5 pts.
Assessment Questions:
1. What is scientific notation?
2. How do you convert a large number to scientific notation?
3. Why is scientific notation useful?
Activity 2: Real-Life Application Scenarios
Teaching Strategy: Project-Based Learning
Materials: None required.
Significance: Students will relate scientific notation to real-life situations, enhancing
relevance and understanding.
Instructions:
1. Think of a scenario where scientific notation could be used (e.g., distances in
space, population sizes).
2. Share your scenario with the class and explain how scientific notation applies.
3. Create a brief presentation to showcase your scenario.
Rubrics:
- Relevance of Scenario: 5 pts.
- Understanding of Scientific Notation: 5 pts.
- Presentation Skills: 5 pts.
Assessment Questions:
1. What real-life example did you choose for scientific notation?
2. How did you apply scientific notation to your example?
3. Why is it important to use scientific notation in your scenario?
Deepening Understanding of the Key Idea:
Activity: Scientific Notation Challenge
Teaching Strategy: Inquiry-based Learning
Materials: Problem sets on scientific notation.
Significance: Students will solve complex problems that require deeper thinking and
application of scientific notation.
Instructions:
1. Solve the given problems involving scientific notation, such as adding or
multiplying numbers in scientific notation.
2. Discuss your solutions with a partner.
3. Present one of your problems and solutions to the class.
Rubric:
- Correctness of Solutions: 5 pts.
- Clarity in Explanation: 5 pts.
- Engagement in Discussion: 5 pts.
Assessment Questions:
1. What strategies did you use to solve the problems?
2. How does scientific notation help simplify calculations?
3. Can you think of a situation where errors in scientific notation could lead to
significant misunderstandings?
III. After the Lesson / Post-lesson Proper
Making Generalizations / Abstractions:
Today, we learned that scientific notation is a crucial tool for expressing very large
and small numbers efficiently, making it easier to work with them in various fields
such as science and mathematics. Understanding how to convert between forms
and apply this knowledge in real-life situations enhances our mathematical skills.
Recognizing the importance of precision in scientific notation helps us avoid errors in
calculations.
Assessment - Evaluating Learning:
Teaching Strategy: Direct Instruction
Questions:
1. How do you convert 5,000,000 into scientific notation?
2. What is the scientific notation for 0.00045?
3. Why is scientific notation beneficial in scientific research?
For Higher Order Thinking Skills:
Questions:
1. How would you explain scientific notation to someone unfamiliar with the concept?
2. In what ways might scientific notation change the way we perceive large or small
quantities?
3. Can you create a real-world problem that involves scientific notation and explain
how to solve it?
Answers:
1. Scientific notation expresses numbers in a compact form, making it easier to
understand their size and scale.
2. Scientific notation allows us to grasp the magnitude of large numbers, like the
distance to stars, without overwhelming detail.
3. A real-world problem could involve calculating the distance to a galaxy in light-
years, using scientific notation to express the vast number involved.
Additional Activities for Application / Remediation:
1. Create a mini-poster that illustrates the concept of scientific notation, including
examples and its applications in real life. Share this with your family or display it in
class. This can be done with simple paper and colors available at home.
