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115年 - 115 新竹縣國民中學教師聯合甄選_教學演示內容:數學科#140672
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籤號 2
指標編碼:N-8-5
學習內容:等差級數求和:等差級數求和公式;生活中相關的問題。
教學重點:
⚫ 理解等差級數的求和公式,能運用到日常生活的情境解決問題。
相關申論題
籤號 3指標編碼:S-8-6學習內容:畢氏定理:畢氏定理(勾股弦定理、商高定理)的意義及其數學史;畢氏定理在生活上的應用;三邊長滿足畢氏定理的三角形必定是直角三角形。教學重點:⚫ 說明畢氏定理。⚫ 應用畢氏定理解決日常生活問題。
#576508
籤號 4指標編碼:S-9-1學習內容:相似形:平面圖形縮放的意義;多邊形相似的意義;對應角相等;對應邊長成比例。教學重點:⚫ 理解平面圖形相似的意義,知道圖形經縮放後其圖形相似。⚫ 能應用相似形解決幾何與日常生活的問題。
#576509
籤號 5指標編碼:S-9-3學習內容:平行線截比例線段:連接三角形兩邊中點的線段必平行於第三邊(其長度等於第三邊的一半);平行線截比例線段性質;利用截線段成比例判定兩直線平行;平行線截比例線段性質的應用。教學重點:⚫ 理解三角形相似的性質,利用對應角相等或對應邊成比例,判斷兩個三角形的相似。⚫ 能應用平行線截比例線段解決幾何與日常生活的問題。
#576510
籤號 6指標編碼:S-9-10學習內容:三角形的重心:重心的意義與中線;三角形的三條中線將三角形面積六等份;重心到頂點的距離等於它到對邊中點的兩倍;重心的物理意義。教學重點:⚫ 理解三角形重心的意義與中線相關性質。⚫ 說明三角形的三條中線將三角形面積六等份。⚫ 說明重心到頂點的距離等於它到對邊中點的兩倍。
#576511
籤號 7指標編碼:F-9-2學習內容:二次函數的圖形與極值:二次函數的相關名詞(對稱軸、頂點、最低點、最高點、開口向上、開口向下、最大值、最小值);描繪 $y=ax^2, y=ax^2+k, y=a(x-h)^2, y=a(x-h)^2+k$ 的圖形;對稱軸就是通過頂點(最高點、最低點)的鉛垂線;$y=ax^2$ 的圖形與 $y=a(x-h)^2+k$ 的圖形的平移關係;已配方好之二次函數的最大值與最小值。教學重點:⚫ 理解二次函數的意義,並能描繪二次函數的圖形。⚫ 理解二次函數的標準式,熟知開口方向、大小、頂點、對稱軸與極值等問題。
#576512
籤號 8指標編碼:D-9-3學習內容:古典機率:具有對稱性的情境下(銅板、骰子、撲克牌、抽球等)之機率;不具對稱性的物體(圖釘、圓錐、爻杯)之機率探究。教學重點:⚫ 理解機率的意義,能以機率表示不確定性和以樹狀圖分析所有的可能性,並能應用機率解決日常生活情境問題。
#576513
1. Adapt the Text: Rewrite and adapt the passage into a coherent text of approximately 200 words. (10%)
#576514
2. Design the Test & Answer Key: Create 5 blanks within your adapted text. For each blank, provide four options(A, B, C, D) and clearly indicate the correct answer and explain why. (10%)
#576515
IV. After carefully reading the following article (next page, no rewriting required), design a mixed format reading comprehension set in line with the new GSAT format (新型學測混合題型), as outlined below. Please provide the correct answers to each question. (15%) ● Question 1: Vocabulary Fill in (Two Blanks) 下列簡短敘述摘記了文章重點。請從文章中找出最適當的單詞(word)填入下列句子空格中,並視句型結構 需要做適當的字形變化,使句子語意完整、語法正確,並符合全文文意。每格限填一個單詞(word)。(填充,2 格) (不必抄寫本段文字) ● Question 2: Multiple Select Question Include SIX options, with AT LEAST TWO correct answers. ● Question 3: A question with a short answer
#576516
V. Project-based learning (PBL) offers several important advantages in an EFL (English as a Foreign Language) classroom because it connects language use with meaningful communication and real-world tasks. Design a 4-period PBL lesson plan based on the provided passage. Your lesson plan should include your teaching goals, your instructions, expected learning outcomes, and assessments through AI. (15%) Can you imagine taking a bite of a steak that was grown in a Petri dish instead of on a farm? It may sound like a scene in a sci-fi movie, but this is already a reality! Many start-ups have begun to develop a special new production process in which meat is created by taking animal stem cells, transforming them into primitive fibers, and combining these fibers to form muscle tissue. The final product is known as “lab-grown meat,” and it’s a thought-provoking recent trend that is backed by both Bill Gates and agricultural giant Cargill. The widespread support for producing meat in this way is due to the fact that it has several substantial advantages compared with more traditional methods of meat production. First, one could argue that traditional meat production facilities, such as farms or factories, hardly ever have animals’ best interests at heart. Growing meat in a laboratory instead helps eliminate the need for slaughterhouses as well as the unethical treatment of animals. In other words, you could rest assured that the lab-grown beef patty on your plate didn’t come from a cow that had to endure physical or mental torment. Better still, lab-grown meat could help make meat production more sustainable. The raising of livestock needed to fulfill the current global demand for meat actually takes a heavy toll on the environment. According to FAO, it accounts for nearly fifteen percent of all greenhouse gas emissions worldwide. Experts estimate that by switching to lab-grown meat, emissions could be lowered by up to ninety-six percent. In addition, many claim it won’t just be the environment that benefits. Scientists can actually make lab-grown meat healthier and more nutritious by adding vitamins and minerals that are not always found in natural meat. However, despite the evident advantages of this forward-thinking method of food production, there are also some concerns surrounding this meat of tomorrow. For a start, studies have shown that the development of labgrown meat could actually have far-reaching negative effects in the long term. While advocates for lab-grown meat say it can help fight climate change, some research suggests that maintaining the infrastructure of lab-grown cell cultures requires significant quantities of energy and leads to substantial gas emissions. Another issue to consider is whether this type of artificial meat is actually healthy and safe for humans to consume. Although great in theory, lab-grown meat is “unnatural,” or “similar to genetically modified (GM) food.” Since the latter is sometimes said to induce allergic reactions or even cause more serious health problems like cancer, some people are warning against human-made meat for fear that it might have similar side effects. One final area of concern is the actual taste of lab-grown meat. Without the naturally occurring connective tissue and fat that are present in real meat, lab-grown meat may be somewhat lacking in taste and texture and thus less appealing to some consumers. Therefore, more extensive research is needed to determine how the flavor and composition of this new meat might be altered to better suit consumers’ tastes. Whether we like it or not, lab-grown meat is an innovative product that could have a long-term impact on a global scale. It might, however, come at a price. To ensure that future foods are both sustainable and healthy, it is therefore essential for us to conduct more comprehensive research before we jump to any conclusions. For now, all we can do is keep a close eye on this rapidly growing trend as it takes us further and deeper into the unknown.
#576517
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