Unit 2 Amazing numbers-Section 4 Cross-curricular connection教学设计 2025-2026学年沪教版英语八年级上册

Unit 2 Amazing numbers-Section 4 Extending and developing competencies-Cross-curricular connection This section of "Unit 2 Amazing numbers" focuses on the cross - curricular connection of numbers. It explores how numbers are not only a fundamental part of mathematics but also play crucial roles in various other disciplines such as history, science, and even art. Students will learn about the historical development of counting methods, the significance of numbers in scientific measurements, and how numbers can be used in creating art forms like patterns. Through this, they will gain a more holistic understanding of the importance and versatility of numbers beyond the traditional math classroom. 教学目标 Students will be able to understand and describe different historical counting methods, such as tally sticks, and how they evolved into modern number systems. Learn about the role of numbers in scientific concepts like measurement units (e.g., in physics, chemistry, and biology) and how to read and interpret scientific data involving numbers. Recognize the use of numbers in creating patterns and sequences in art and design, and be able to explain basic numerical principles behind them. 教学重难点 A. Key Points The historical development of counting systems and how they influenced modern number representation. The application of numbers in scientific measurements and data interpretation, including understanding units and scales. The use of numerical patterns and sequences in art and design, and how to analyze and create simple examples. B. Difficult Points Helping students make the connection between the abstract concept of numbers and their practical applications in different disciplines. Teaching students how to interpret complex scientific data that involves multiple numerical variables and units. Guiding students to understand the underlying mathematical principles in artistic patterns and translate them into words or simple mathematical expressions. A. Historical Counting Methods Tally Sticks: Definition: One of the earliest counting methods where each “stick” (or pebble, or other counting tool) stands for a thing we want to count. For example, one stick for each animal or each bag of rice. Principle: Based on the “one - to - one correspondence” principle. To count 5 sheep, we would draw 5 tally sticks. Limitations: Tedious for writing large numbers. To write “1,000”, one has to draw a thousand tally sticks. Development of Arabic Numerals: Origin: Developed in ancient India. People began using different abstract symbols to represent different numbers instead of tally sticks. Spread: Thanks to the Arabs, these Indian numerals spread to Europe and across the world, and are now known as Arabic numerals. Roman Numerals: Representation: Used letters from the Roman alphabet. For example, 1 is “I”, 5 is “V”, 10 is “X”. The number 12 is “XII” (10 + 1+1). Usage: Used to be the most common way of writing numbers in Europe. Still seen today on clock faces, on buildings, or in books. B. Numbers in Science Measurement Units: Length: In the metric system, the basic unit is the meter (m). Smaller lengths can be measured in centimeters (cm, 1 m = 100 cm) or millimeters (mm, 1 m = 1000 mm). Larger lengths are measured in kilometers (km, 1 km = 1000 m). Mass: The basic unit in the metric system is the kilogram (kg). Smaller masses can be measured in grams (g, 1 kg = 1000 g) or milligrams (mg, 1 g = 1000 mg). Volume: In the metric system, the basic unit for liquid volume is the liter (L). Smaller volumes can be measured in milliliters (mL, 1 L = 1000 mL). Data Interpretation: Reading graphs: Understanding different types of graphs such as bar graphs, line graphs, and pie charts. For example, in a bar graph showing the population of different cities, the height of each bar represents a numerical value of the population. Analyzing scientific data: When given a set of data about the growth rate of plants under different conditions, students need to be able to calculate averages, trends, and make inferences based on the numbers. 教学过程 A. Lead - in (5 minutes) Start the class by showing some pictures of ancient artifacts with markings that could be related to counting, such as tally sticks or pottery with simple geometric patterns. Ask students: “What do you think these markings on the artifacts are for?” Encourage students to share their ideas in pairs and then invite a few pairs to report their thoughts to the class. Then, briefly introduce the topic of the cross - curricular connection of numbers. Say: “Today, we are going to explore how numbers are not just for math class, but they are everywhere in history, science, and art. Numbers have a long and interesting story to tell, and they help us understand the world in many different ways.” B. Knowledge Presentation (15 minutes) Historical Counting Methods Use a PPT to show pictures and explanations of tally sticks, Arabic numerals, and Roman numerals. Read the text about the development of these counting methods aloud, pausing to explain key points. For example, when talking about tally sticks, emphasize the one - to - one correspondence principle. After reading, ask students some questions to check their understanding: “Why were tally sticks not suitable for writing large numbers?” “How did Arabic numerals spread around the world?” Numbers in Science Display some pictures of scientific instruments like rulers, scales, and graduated cylinders. Explain the basic measurement units in length, mass, and volume in the metric system. Use simple examples, such as measuring the length of a pencil in centimeters or the mass of a small object in grams. Show a simple bar graph or line graph related to a scientific topic (e.g., the change in temperature over a week) and explain how to read the data from the graph. Numbers in Art Present some examples of artworks with geometric patterns or patterns following the Fibonacci sequence. Analyze a simple geometric pattern with the students, like a pattern of repeating equilateral triangles. Point out how the number of triangles in each row or column forms a sequence. Briefly explain the Fibonacci sequence and show how it can be found in the spiral of a seashell or the petals of a flower. C. Group Activity (15 minutes) Divide the students into three groups. Each group will be assigned one of the three areas: historical counting methods, numbers in science, or numbers in art. Group 1: Historical Counting Methods Task: Research and find more information about an ancient counting method that has not been covered in class (e.g., the abacus, the Mayan number system). Prepare a short presentation to share with the class, including how the method works, its advantages and disadvantages, and its historical significance. Group 2: Numbers in Science Task: Find a scientific article or research report that involves numerical data. Analyze the data, such as calculating averages, percentages, or trends. Then, create a simple infographic to present the key findings of the data. Group 3: Numbers in Art Task: Create an original piece of art (it can be a drawing, a collage, or a digital design) that incorporates a numerical pattern or sequence. Write a short description explaining the mathematical concept behind the pattern in the art. Walk around the classroom while the groups are working, offering guidance and answering questions. D. Group Presentations and Discussion (10 minutes) Each group takes turns to present their work to the class. After each presentation, open the floor for questions and discussion. Encourage other students to ask for clarification, share their own thoughts, or make connections to what they have learned in other areas. For example, after the group presenting on numbers in science shows their infographic, ask the class: “How does this data relate to what we know about the real - world phenomenon they are studying? Can you think of other scientific studies where similar numerical analysis would be useful?” Summarize the key points from each presentation and the discussion, emphasizing the cross - curricular nature of numbers. Say: “As we can see, numbers are truly amazing. They have a rich history, are essential in scientific research, and add beauty and structure to art. Understanding numbers in these different contexts helps us have a more complete view of the world.” E. Conclusion (5 minutes) Review the main points of the cross - curricular connection of numbers covered in class, including historical counting methods, numbers in science, and numbers in art. Assign homework: Ask students to write a short essay (about 150 - 200 words) on how they have noticed numbers being used in their daily lives outside of school in a cross - curricular way. For example, they could write about how numbers are used in cooking (a form of applied science and measurement), or how they are used in following the rules of a game (which may have historical and strategic elements related to numbers). Encourage students to look for more examples of the cross - curricular use of numbers in the coming week and be ready to share them in the next class. 教学反思 Effectiveness of Teaching Methods The use of visual aids such as pictures, PPTs, and real - world examples seemed to be effective in engaging students and helping them understand the abstract concepts. For example, when showing pictures of ancient artifacts related to counting, students were actively involved in the discussion. However, in the future, more interactive digital resources could be used to make the presentation even more engaging. Student Participation The group activity promoted good student participation. Most students were actively involved in their group tasks, sharing ideas and working together. But some students in larger groups seemed to be less engaged. In the future, group sizes could be adjusted, and more specific roles could be assigned to each student within the group to ensure equal participation. Understanding of Key Points From the group presentations and class discussions, it was evident that most students understood the key points about the cross - curricular connection of numbers. However, some students still had difficulty in interpreting complex scientific data. More practice and in - depth instruction on data analysis may be needed in future lessons. Achievement of Teaching Objectives Overall, the teaching objectives were mostly achieved. Students were able to understand different historical counting methods, the role of numbers in science, and the use of numbers in art. Their skills in reading, listening, speaking, and writing were also practiced. However, to further enhance their emotional connection to the topic, more real - life case studies and hands - on experiments could be incorporated in future teaching. 2 / 37 学科网（北京）股份有限公司 学科网（北京）股份有限公司 $$