Exponential and sigmoid population growth curve

Section:

Diversity of living organisms. Biosphere and ecosystem

Teacher name:

Date:

13/09

Class : 8b

Number of participants:12 Number of absentees:

Topic the lesson:

Exponential and sigmoid population growth curve

Learning objectives

9.3.1.1 calculate the energy flow efficiency;

Lesson objectives

 students will be able to understand and differentiate between exponential and sigmoid population growth curves, identify the factors influencing population growth, and analyze real-world scenarios using these concepts.

Lesson period/time

Teacher's activity

Student's activity

Assessment

resources

Start of the lesson

Organizing time.

7 мин.

Organizational stage:

Begin with a warm-up question: "What do you think happens to a population when it grows without any limits?" Allow students to share their thoughts.

Introduce the lesson topic: Exponential and Sigmoid Population Growth Curves.

Explain the importance of understanding population growth for biology and ecology.

Introduction to a new lesson

Goal setting.

Define exponential population growth and write the equation Nt = N0 * e^(rt) on the board.

Break down the equation: Nt (population at time t), N0 (initial population size), r (intrinsic growth rate), and t (time).

Introduce sigmoid population growth and write the logistic growth equation Nt = K / (1 + (K-N0)/N0 * e^(-rt)) on the board.

Discuss the factors that influence population growth, including birth rate, death rate, immigration, and emigration.

“Well done!”

“Good job”

.

Middle of the lesson

Disclosure of meaning.

The explanation of the new material and its initial consolidation.

31 мин.

Quiz Questions:

1. Exponential Growth: Which type of population growth occurs when a population increases at a constant rate, with the number of individuals added per unit of time remaining the same?

A) Logistic growth

B) Exponential growth

C) Sigmoid growth

D) Arithmetic growth

Answer: B) Exponential growth

2. Carrying Capacity: What does the carrying capacity represent in a logistic growth curve?

A) The maximum growth rate of the population

B) The initial population size

C) The maximum population size that an environment can support

D) The rate at which individuals leave the population

Answer: C) The maximum population size that an environment can support

3. Sigmoid Curve Shape: In a sigmoid (logistic) population growth curve, what does the "S" shape represent?

A) Rapid exponential growth phase

B) Decline in population size

C) Transition from exponential growth to slowed growth

D) Stagnation phase

Answer: C) Transition from exponential growth to slowed growth

4. Density-Dependent Factors: Which of the following is an example of a density-dependent factor that can influence population growth?

A) Weather conditions

B) Predation

C) Earthquakes

D) Competition for resources

Answer: D) Competition for resources

5. Human Population Growth: Over the past century, human population growth has primarily exhibited which type of curve?

A) Exponential growth

B) Logistic growth

C) Sigmoid growth

D) Negative growth

Answer: A) Exponential growth

6. True/False Exercise:

7. True or False: In a sigmoid (logistic) population growth curve, the population size remains constant after reaching the carrying capacity.

Answer: False

8. True or False: Exponential growth can continue indefinitely in a finite environment.

Answer: False

9. True or False: Density-independent factors, such as weather events, have a stronger influence on population growth than density-dependent factors.

Answer: False

10. True or False: In a logistic growth curve, the growth rate is highest when the population size is close to the carrying capacity.

Answer: False

True or False: The concept of carrying capacity is more relevant to sigmoid (logistic) growth curves than exponential growth curves.

Answer: True

PC screen

8th grade textbook.

Workbooks.

https://wordwall.net/ru/resource/618117

descriptor: total-3 points

8th grade textbook. performs laboratory work

the computer screen that

Workbooks Pictures Herbarium.

End of lesson

Thought.

Feedback

7 min.

«One word» әдісі.

Individual work:

1-10 points