Subject: Mathematics
Grade Level: Grade 9
Objective: Transform the following radical form into exponential form and vice
versa., Simplify radical expression using the laws of radicals.
Learning within and across curriculum:
- Within:
1) Algebra
2) Physics
3) Chemistry
- Across:
1) Language Arts
2) History
3) Geography
Review Motivation:
[Teaching Strategy: Interactive Quizzes]
[Instructional Materials: Whiteboard, Marker]
Engaging Activity 1 - Brainstorming
Engaging Activity 2 - Picture Analysis
Engaging Activity 3 - Music and Lyrics
Activity 1: Radical Relay Race
[Teaching Strategy: Cooperative Learning]
Materials - Stopwatch, Chalk, Cones
Significance - Promotes teamwork and quick thinking
Instructions -
1) Divide students into teams.
2) Each team solves radical expressions relay-style.
3) Fastest team wins.
Rubric
- Accuracy - 20 pts.
- Speed - 10 pts.
- Collaboration - 10 pts.
Assessment Questions:
1) Simplify √36 + √49.
2) Express √81 as an exponent.
3) Solve for x: √(x^2) = 5.
Activity 2: Radical Art Exhibition
[Teaching Strategy: Project-Based Learning]
Materials - Paper, Colors, Scissors
Significance - Encourages creativity and visual learning
Instructions -
1) Students create art using radical expressions.
2) Artworks are displayed in the classroom.
3) Each student presents their art and explains the math behind it.
Rubric
- Creativity - 20 pts.
- Math Explanation - 15 pts.
- Presentation - 15 pts.
Assessment Questions:
1) Simplify √18 - √8.
2) Express √64 as an exponent.
3) Solve for x: √(x^2 + 9) = 6.
Inclusive Activity 3: Radical Role-Playing
[Teaching Strategy: Role-Playing]
Materials - None
Significance - Promotes verbal skills and creativity
Instructions -
1) Assign roles related to radical expressions.
2) Students act out scenarios involving simplifying radicals.
3) Encourage improvisation and problem-solving.
Rubric
- Role Play Performance - 20 pts.
- Problem-Solving - 15 pts.
- Creativity - 15 pts.
Assessment Questions:
1) Simplify √27 + √12.
2) Express √100 as an exponent.
3) Solve for x: √(x^2 + 16) = 8.
ANALYSIS:
Activity 1 - Improved teamwork and speed in solving radicals.
Activity 2 - Enhanced creativity and understanding of radical expressions.
Activity 3 - Developed verbal skills and problem-solving abilities.
ABSTRACTION:
Students will deepen their understanding of radicals by recognizing patterns and
applying rules consistently.
Supporting Material 1 - "Understanding Radicals: A Visual Guide"
Supporting Material 2 - "Radical Expressions Explained: Practice Problems"
APPLICATION:
[Teaching Strategy: Problem-Based Learning]
Task 1 - Calculate the volume of a cube with side length √27 cm.
Task 2 - Determine the distance between two points represented by radical
expressions.
ASSESSMENT:
[Teaching Strategy: Direct Instruction]
[Instructional Materials: Worksheets]
Question 1 - Simplify: √50 - √18.
Question 2 - Express √121 as an exponent.
Question 3 - Solve for x: √(x^2 - 25) = 7.
H.O.T.S.:
Question 1 - Explain the difference between rationalizing the denominator and
simplifying radicals.
Answer 1 - Rationalizing the denominator involves getting rid of radicals in the
denominator by multiplying by its conjugate.
Question 2 - How can radicals be used in real-life situations?
Answer 2 - Radicals are used in calculating distances, areas, and volumes in
architectural and engineering fields.
Question 3 - Discuss the importance of simplifying radicals in algebraic
manipulations.
Answer 3 - Simplifying radicals helps in solving equations and simplifying complex
expressions.
Assignment:
1) Research and create a presentation on the history of radical expressions.
2) Solve a set of radical expression problems and explain the steps taken in each
solution.
