Play "Trapezoid Hunt" by finding real-life examples of trapezoids around the classroom or school.

1. Create a trapezoid using string and measure its bases and height to calculate the area together.  

2. Play "Trapezoid Hunt" by finding real-life examples of trapezoids around the classroom or school.  

3. Use graph paper to draw different trapezoids, then calculate their areas and compare results with classmates.  

# Trapezoid Hunt Quiz

**Name: ________________________   Date: _______________**


### Question 1:  
What is the formula for finding the area of a trapezoid?  

A) \( A = \frac{1}{2} \times (b_1 + b_2) \times h \)  
B) \( A = b \times h \)  
C) \( A = \frac{1}{2} \times a \times b \)  
D) \( A = \pi r^2 \)  

**Your answer: ____________**


### Question 2:  
Which of the following shapes is NOT a trapezoid?  

A) A shape with one pair of parallel sides  
B) A rectangle  
C) A shape with two pairs of parallel sides  
D) A shape with no parallel sides  

**Your answer: ____________**


### Question 3:  
During the Trapezoid Hunt, you found a trapezoidal table. If the lengths of the bases are 4 ft and 6 ft, and the height is 3 ft, what is the area of the table?  

A) 15 sq ft  
B) 12 sq ft  
C) 18 sq ft  
D) 10 sq ft  

**Your answer: ____________**


### Question 4:  
How many trapezoids did you find during the activity?  

A) 1-2  
B) 3-5  
C) 6-8  
D) More than 8  

**Your answer: ____________**


### Question 5:  
Why is it important to identify shapes like trapezoids in real life?  

A) To memorize their properties  
B) To understand their application in everyday objects  
C) To create art  
D) None of the above  

**Your answer: ____________**


### Question 6:  
In your opinion, which was the most interesting trapezoid you found and why?  

**Your answer: _______________________________________________________________**  
**__________________________________________________________________________**  
**__________________________________________________________________________**  


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# Answer Key

1. A  
2. C  
3. A  
4. (Answers will vary)  
5. B  
6. (Answers will vary)  

### Grade 8 Math Lesson Plan: Площадь Трапеции (Area of a Trapezoid)

#### **Objectives:**
1. Students will understand the formula for calculating the area of a trapezoid.
2. Students will apply the formula to solve problems involving the area of trapezoids.
3. Students will demonstrate their ability to visualize and compute the area of trapezoids through guided and independent practice.

#### **Materials:**
- Whiteboard and markers
- Graph paper
- Rulers
- Trapezoid Area Formula handouts
- Worksheet with practice problems
- Scissors and colored pencils (for visual representation)

#### **Anticipatory Set (5 minutes):**
- Begin by showing images of various trapezoids (drawn on the board or projected).
- Ask students: “What do you notice about these shapes? How do they differ from rectangles or triangles?” 
- Encourage students to discuss the unique properties of trapezoids, especially the parallel sides.

#### **Direct Instruction (20 minutes):**

**Input:**
- Introduce the area formula for a trapezoid: 
  \[
  A = \frac{(a + b) \cdot h}{2}
  \]
  where \(A\) is the area, \(a\) and \(b\) are the lengths of the parallel sides, and \(h\) is the height.

**Modeling:**
- Solve a sample problem on the board:
  - Example: Find the area of a trapezoid with bases of 6 cm and 10 cm, and a height of 4 cm. 
  - Demonstrate each step of substituting the values into the formula and performing the calculations.

**Check for Understanding:**
- Ask students to calculate the area of a trapezoid with bases of 5 cm and 7 cm, and a height of 3 cm. 
- Have a few students share their answers and explain their thought process.

#### **Guided Practice (15 minutes):**
- Distribute a worksheet with several trapezoid problems of varying difficulty.
- Work through the first problem together as a class, ensuring everyone understands how to apply the formula.
- Allow students to work in pairs to solve the next three problems on the worksheet, circulating the room to provide assistance and check for understanding.
- After 10 minutes, review the answers as a class, discussing any common errors or misconceptions.

#### **Closure (5 minutes):**
- Recap the key points of the lesson, emphasizing the formula and the process for finding the area of a trapezoid.
- Ask students to summarize in one sentence how they would explain finding the area of a trapezoid to someone else.

#### **Independent Practice (10 minutes):**
- Assign students to complete the remaining problems on the worksheet individually.
- For homework, ask students to find a real-world example of a trapezoid (e.g., a park, a building) and calculate its area using measurements they can find online or in their surroundings. They should include a drawing and show their calculations.

#### **Assessment:**
- Review students’ worksheets to assess their understanding of the area of trapezoids.
- Observe participation during guided practice to gauge individual comprehension.

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This comprehensive lesson plan provides a structured approach to teaching the area of trapezoids while ensuring student engagement and understanding.

1. Find a trapezoidal table in the cafeteria! Measure its bases and height to calculate its area. How many students can fit? 

2. Look for a trapezoid-shaped window or door frame in the school. Sketch it, then find its area using the formula: Area = 1/2 * (Base1 + Base2) * Height. 

3. Spot a funky trapezoid-shaped rug in the art room! Pretend it's a magic carpet. Measure its dimensions and calculate the area, then imagine where it could take you!

Lesson Robot

площадь трапеции

Lesson Plan

Assessment