https://file.aiquickdraw.com/mathbot/file/1728535109768iv8ewxvo.jpg

Kerjakanlah tabel tersebut dengan soal matematika SMA yang memuat HOTs

The table you've shared appears to be a "Kisi-Kisi Tes Kemampuan Berpikir Kritis" (Test Blueprint for Critical Thinking Skills) designed for high school mathematics, specifically for grade XI in the odd semester. It outlines key areas for critical thinking, such as:

1. **Elementary Clarification (Memberikan penjelasan mendasar)**
2. **Basic Support (Membangun keterampilan dasar)**
3. **Inference (Membuat kesimpulan)**

To create appropriate Higher Order Thinking Skills (HOTs) math questions for this test, I'll provide examples that fit each category.

### 1. **Elementary Clarification**
   **Question (Soal):**
   *Simplify the following expression and explain each step in detail:*
   \[
   \frac{2x^2 - 8}{x^2 - 4}
   \]
   **Answer:**
   - Factorize both the numerator and the denominator.
   - Show the steps clearly and explain why certain steps are taken.
   
### 2. **Basic Support**
   **Question (Soal):**
   *Solve the system of equations using substitution or elimination:*
   \[
   2x + 3y = 6
   \]
   \[
   x - y = 2
   \]
   **Answer:**
   - Demonstrate the steps to solve it.
   - Justify the chosen method and provide reasoning behind each step.

### 3. **Inference**
   **Question (Soal):**
   *If the function \( f(x) = 3x^2 + 2x - 5 \) has a maximum or minimum value, determine it and explain the reasoning using calculus (derivatives).*
   **Answer:**
   - Find the derivative \( f'(x) \).
   - Solve for critical points.
   - Use the second derivative to explain whether it's a maximum or minimum.

Would you like me to elaborate on any of the questions or solutions? Here are five follow-up questions to extend your understanding:

1. What factors should be considered when simplifying algebraic expressions?
2. Why is factoring important in solving rational expressions?
3. How can you decide between substitution or elimination in solving systems of equations?
4. How does the second derivative test help in determining maxima or minima?
5. What real-world situations can be modeled using systems of equations?

**Tip:** Always check your factorizations and simplifications for errors, as these are common mistakes in algebraic manipulations.

This page contains math problems designed for high school students (Grade XI) focusing on higher-order thinking skills. It includes algebra, systems of equations, and calculus, targeting key concepts such as factorization and the use of derivatives.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation