数字信息题突破 练习 2026届高考英语专题复习

Listening and Vocabulary 高中英语听力专题：数字信息题突破学案 Step 1: listen and write down the numbers 1. ___________ 2.____________ 3.____________ 4._____________ 5.____________ 6.______________ 7.______________ 8.______________ Step2: 听记策略建构与分类演练 1听记策略建构 听前：速读题干与选项，锁定“核心问点”______________________________________________并预判答案类型___________________________________________ 听中：教授速记技巧（如：______________________________________________） 听后：根据问点，筛选/计算速记信息，匹配或排除选项。 2. 分类精讲与演练 Type1 直接获取答案 1. 2024新课标I卷 (text5) When will the next train to Bedford leave? A. At 9:45. B. At 10:15. C. At 11:00. W: Next, please. 2. 2021年全国甲&乙卷 (text5) What size does the woman want? A. 8. B. 10. C. 12. 3.2018年浙江卷11月(Text 6) How much does the man need to pay? A. $68. B. $136. C. $204. 技巧点拨：_______________________________________________________________ Type2 排除干扰再获取答案 特点：含信息更正、改口、变更、否定，多个干扰项 4. 2018年全国II&III卷 (Text 6) When will Judy go to a party? A. On Monday. B. On Tuesday. C. On Wednesday. 5. 2023年新课标I&II卷 (Text 3) When will the man see Bob? A. This Friday. B. This Saturday. C. Next Monday. 6. 2016年全国I卷（text10） What percentage of student job seekers have found a job by now? A. 20%. B. 22%. C. 50%. 7. 2020年1月浙江卷 text 5 When did the man see the film? A. On Wednesday. B. On Thursday. C. On Saturday. 2020年山东text 10 8. When will the students leave for museum? A.6:30 B. 7:45 C.8:00 9. What will the students do at 1:15? A. see a film B.meet at a cafe C. visit a gallery 10. 2016年10月浙江卷 (Text 6) When will the chairs arrive today? A. At about 10 a.m. B. Around 12 noon. C. By 4 p.m. 11. 2022年新高考I&II卷&浙江卷 text6 When are the students going to the museum? A. On Friday. B. On Saturday. C. On Sunday. 2016年全国I卷text8 12. When will the woman arrive at the hotel? A. On September 15. B. On September 16. C. On September 23. 13. How much will the woman pay for her room per night? A. $179. B. $199. C. $219. 14. 2024新课标II卷 （text 7） What time should the man arrive on Friday evening? A. At 5:30. B. At 6:30. C. At 8:00. 15. 2024全国甲卷 （text 2） When is the class presentation according to Vicky? A. On Thursday. B. On Wednesday. C. On Tuesday. 16. 2021新高考I&II卷浙江卷(Text 9) At what time is Michael leaving his place tomorrow morning? A. 7:40. B. 8:00. C. 8:20. 17. 2019全国II&III卷( text8 ) When will the man meet Mr. Stone this afternoon? A. At 3:00. B. At 3:30. C. At 3:45. 18. 2021年1月浙江卷( text9 ) How many candidates are the speakers going to meet? A. 2. B. 12. C. 20. 19. 2020全国I卷 (Text 6) When is Pete going to see Lucy? A. At 6:00 p.m. B. At 6:45 p.m. C. At 8:00 p.m. 技巧点拨：1_____________________；2________________________________ （三）简单计算 特点：需加减乘除，高频考查时间推算、价格折扣、总价、数量差 20. 2025年全国一卷text6 What time does school finish on Wednesdays? A. At 2:00 pm. B. At 2:30 pm. C. At 3:30 pm. 21. 2020全国II卷 (Text 4) When will the flight arrive? A. At 18:20. B. At 18:35. C. At 18:50. 22. 2019全国I卷 (text9) How much time will the man probably spend exercising weekly? A. 300 minutes. B. 150 minutes. C. 75 minutes. 23. 2018年全国I卷 (text3) When does the train leave? A. At 6:30. B. At 8:30. C. At 10:30. 24. 2020年7月浙江卷 text3 What time does Dave's meeting start? A. At 8:30. B. At 9:00. C. At 10:00. 25. 2016年10月浙江卷(Text 2) What is the time now? A. 8 o'clock. B. 10 o'clock. C. 12 o'clock. 26. 2022年新高考I&II卷&浙江卷 text7 How much did the man spend on the city passes? A. $36. B. $50. C. $150. 27. 2019全国II&III卷 (Text 3) How much will the man pay? A. $20. B. $80. C. $100. 28. 2017年全国II&III卷 (Text 3) How much more does David need for the car? A. $5,000. B. $20,000. C. $25,000. 29. 2021年1月浙江卷(Text10 ) How old was Gallo when she threw out the bottle? A. Eight. B. Eleven. C. Fourteen. 30. 2017年浙江卷11月(Text 3) How many members are there in Alice's group now? A. Two. B. Four. C. Six 技巧点拨：_________________________________________________________ Step3 学生合作归纳时间,价格，数量特殊表达 （一）表述的时间在半小时以内 分钟+ past +小时 Ten past six __________ Twenty past four __________ Twenty-five past ten __________ （二）表述的时间在半小时以外 （相差的）分钟+ to +（下一）小时 twenty-five to eleven __________ ten to four ___________ （三）表述的时间恰好为半小时 half past +小时 half past three ___________ half past eleven ___________ （四）表述的时间和15相关有三种表达方法 9：15 ________________________________________ 3:45 ________________________________________ noon / midday _________ midnight __________ every other hour __________ every two hours __________ fortnight __________ decade __________ overnight __________ half price / full price __________ 20 % off / discount __________ a markdown of 15% / a 15% markdown __________ dozen __________ Step4 作业 完成关于数字题配套练习，并有意识地运用所学策略。 学科网（北京）股份有限公司 $Thirteen thirty, fifteen fifty, nineteen ninety, a quarter to three, a quarter past three, three, three forty five. nullnullnullnullnullnullnullnullnullnullnullnullnullnullnullnullnullnullnullnullnullnullnullnullnullnullnullnull Listening and Vocabulary 高中英语听力专题：数字信息题突破教案 一、 教学内容分析 本节课的教学内容基于历年高考英语听力真题（2016-2025年）中涉及时间、日期、价格、年龄、数量、百分比等数字信息考查的对话。这些题目信息点密集，常设置信息更正、否定、比较、简单计算等干扰项，直击学生数字反应迟钝、短时记忆混乱、计算易错等核心问题，通过分类讲练旨在解决学生在听力中对数字反应慢、短时记忆混乱、易被干扰、计算易错等痛点。 二、 教学目标 基于《普通高中英语课程标准（2017年版2025年修订）》设定以下教学目标： 1. 语言能力：学生能够精准识别各类数字信息，理解数字的上下文含义，并完成准确记录。 2. 学习能力：学生能掌握针对数字信息题的高效听力策略，如预判与定位、速记技巧、信息筛选与计算，并能在实际练习中自主运用，提高解题效率和准确性。 3. 思维品质：通过分析真题题干与原文的逻辑关系，特别是涉及“修正”、“否定”、“比较”等复杂语境，发展学生的分析、推断和归纳能力。例如，从“was supposed to arrive at...”推断实际时间，或从“$50 per person... bought three”计算总价。 4. 文化意识：在涉及时间安排、约会、价格协商等场景的对话中，引导学生注意中西方在日常交际习惯、时间观念等方面的异同，增进文化理解。 三、教学重难点 重点：引导学生掌握“听前预判、听中速记、听后计算/推断”的三步解题流程，自主运用信息筛选、速记、提升正确率。 难点：处理对话中信息被更正的情况，学生需辨别最终有效信息，在理解数字关系的基础上快速计算。 四、 教学准备 教师材料：PPT课件（内含技巧归纳、真题录音、题目文本和答案解析） 学生材料：学案 五、教学过程设计 Step 1: 导入与诊断 1. 情境导入：展示图片 如：赶火车、购物询价、预约会面），提问：“在这些场景中，最关键的听力信息是什么？”引导学生聚焦“数字”。 2. 痛点诊断：快速进行“数字听写小测”（播放若干易混数字的短句，如：13/30, 15/50，1990，a quarter to 3, a quarter past three，three forty-five etc.），暴露学生的数字问题。 Step2: 听记策略建构与分类演练 1听记策略建构 听前：速读题干与选项，锁定“核心问点”（when/what time, how much, how many, what size, what percentage,how old等）并预判答案类型（时间？价格？数量？尺寸？比例？年龄？） 听中：教授速记技巧（如：9:45记作q to 10，用箭头↑↓表示增减） 听后：根据问点，筛选/计算速记信息，匹配或排除选项 2. 分类精讲与演练 Type1 直接获取答案 技巧点拨：抓核心名词（the next train leaves at /size2 /how much）对应的数字，直接匹配选项。 1. 2024新课标I卷 (text5) When will the next train to Bedford leave? A A. At 9:45. B. At 10:15. C. At 11:00. W: Next, please. M: Oh, hi. I missed my nine o'clock train to Bedford. Do I have to buy another ticket? W: No. The next train leaves at a quarter to ten at platform eleven. M: Thank you. 2. 2021年全国甲&乙卷 (text5) What size does the woman want? C A. 8. B. 10. C. 12. M: Can I help you? W: I’m looking for a size 12 dress. M: Oh. Let me see. An 8, a 10… Ah, you’re lucky! I have the prettiest dress here in a 12. Why don’t you try it on? 3.2018年浙江卷11月(Text 6) How much does the man need to pay? A A. $68. B. $136. C. $204. W: Good afternoon, sir. Can I help you? M: Yes, we need a room for the night. Have you got any rooms available? W: Yes, would you like a single room or a double room? M: A double room. W: How many nights would you like to stay? M: We are only staying overnight. We'll check out tomorrow morning. How much is it? W: It's $68 per night. M: OK. Do you accept credit cards? W: Yes, we do. Now your room number is 204. Here is the key. M: Thank you. Type2 排除干扰再获取答案 特点：含信息更正、改口、变更、否定，多个干扰项 技巧点拨：1定位题干关键词；2紧盯转折 / 修正词（no/but/change/instead of/a slip of tongue/reschedule/so/now） 4. 2018年全国II&III卷 (Text 6) When will Judy go to a party? B A. On Monday. B. On Tuesday. C. On Wednesday. M: Let's go kite-flying, Judy. It's such a lovely day. W: Okay, but let me finish my chemistry homework first. Would you mind waiting for half an hour, Max? There are a few sports magazines on the table. M: Isn't the chemistry homework due next Wednesday? W: Yeah. But I have a full day of classes on Monday and a birthday party to attend on Tuesday. M: All right then, you go ahead. And I'll catch up on some sports news while waiting. 5. 2023年新课标I&II卷 (Text 3) When will the man see Bob? B A. This Friday. B. This Saturday. C. Next Monday. W: Bob came out of hospital last Friday. Have you got a chance to visit him? M: I plan to see him this Saturday. W: Aren't you going to the conference then? M: No. It has been rescheduled for next Monday. 6. 2016年全国I卷（text10） What percentage of student job seekers have found a job by now? A A. 20%. B. 22%. C. 50%. M: Hello! Welcome to the program. In America, May and June are the traditional months for graduations. A listener in China, Wang Ming, who is about to get an engineering degree, wants to know how American college graduates find jobs. Right now, the answer is: not very easily. A latest study on the college job market showed that employers wanted to hire 22% fewer graduates this year than last. The study also showed that just 20% of those who looked for jobs before graduation have found one by now. This is compared to half of students who had looked for a job by this time two years ago. But one difference: fewer of this year's graduates have started to search for jobs. Engineering graduates were more likely to have started their job search already and to have accepted a job. This is among the best-paid professions for people with just a college degree. On average, engineering majors expect to start at about $62,000 a year. 7. 2020年1月浙江卷 text 5 When did the man see the film? B A. On Wednesday. B. On Thursday. C. On Saturday. W: Did you see the film on Wednesday? M: No, I went on Thursday night. Did you... on Wednesday? W: I was going to, but couldn't make it. I think I will go on Saturday night. 8. 2020年山东text 10 When will the students leave for museum? C A.6:30 B. 7:45 C.8:00 9. What will the students do at 1:15? A A. see a film B.meet at a cafe C. visit a gallery Text 10) M: Good morning, everybody. Before we start the class today, I need to give you some information about our field trip on the 27th of May. As you know, we're spending the day at the Science Museum in London. A coach will pick us up in the school car park. We'll leave at 8 o'clock, so plan to be there at least 15 minutes before that, 7:45 at the latest. You'd better set your alarms for 6:30, okay? If you've visited the Science Museum before, you'll know that it's enormous, and we can't possibly see everything in one day. The Welcome Wing has three galleries which deal only with contemporary science. We're going to have a guided tour of one of them. We've ordered lunch at the cafe, so we'll all meet up there at 12:30. And don't be late. We have to go to the cinema at 1:15. I think that's all for now. Oh, one last thing: Check out the Science Museum website before we go. The more you read about it, the more interesting the visit will be. 10. 2016年10月浙江卷 (Text 6) When will the chairs arrive today? C A. At about 10 a.m. B. Around 12 noon. C. By 4 p.m. M: Hello, Johnson's Furniture. This is Kevin McMillan speaking. What can I do for you? W: This is Julia Pauling from CC Computer. We still haven't received the thirty chairs. They were supposed to have arrived by 12 o'clock noon the day before yesterday. M: I'm terribly sorry about that. The truck driver was ill. I spoke with our delivery department at about 10:00 this morning and they said that the chairs will be delivered by 4:00 this afternoon. W: Excellent. I'm pleased to hear that. 11. 2022年新高考I&II卷&浙江卷 text6 When are the students going to the museum? B A. On Friday. B. On Saturday. C. On Sunday. W: Mr Wilson, students from Class Two want to visit the history museum. Will it be all right if I take them there this weekend? M: How about their revision test? Are they through with it? W: Yes, they are. M: In that case, you can go ahead. Try to finish it within one day so that the students still have a whole day to rest on Sunday. W: All right, I'll manage. 12. 2016年全国I卷text8 When will the woman arrive at the hotel? B A. On September 15. B. On September 16. C. On September 23. 13. How much will the woman pay for her room per night? B A. $179. B. $199. C. $219. M: Hello, Milton Hotel reservations. How may I assist you? W: Hi, I'm calling to make some changes to an existing reservation. M: Certainly. Do you have the reservation number? W: Sure, it's 219. M: That's a reservation for Sally Menkel. Is that right? W: Yes, that's right. I'd like to change the check-in date from September 15th to September 16th. M: Certainly. I can make that change for you. Is that the only change? W: No, the check-out date will also change, from the 23rd to the 24th. M: No problem. We have you arriving on the 16th of September and leaving the 24th of September, altogether 8 nights. Will there be anything else? W: Yes, instead of a courtyard room, I'd like a room with a view, preferably on an upper floor. M: I can certainly change that for you, but there will be a change in the room rate. The new rate is $199 per night, instead of the original $179. W: That's OK. These are all the changes. Thank you very much. M: You're welcome. Have a nice day. 14. 2024新课标II卷 （text 7） What time should the man arrive on Friday evening? C A. At 5:30. B. At 6:30. C. At 8:00. W: Hello, Brown's Grill. How may I help you? M: Hi, I'd like to book a table for Friday evening. W: Okay, how many people are there in your party? M: There will be six. W: And what time would you like to come? M: Let's say at... six thirty? W: I'm afraid we don't have anything available then. We could seat you at five thirty or eight o'clock. M: Oh, eight o'clock is better. W: Fine. May I have your name? M: Yes, it's Anderson. W: Thank you. We'll see you on Friday. By the way, we've moved to Howard Street. M: Oh, yeah, I know. Thanks. 15. 2024全国甲卷 （text 2） When is the class presentation according to Vicky? C A. On Thursday. B. On Wednesday. C. On Tuesday. M: Hi, Vicky. I remember our class presentation is on Wednesday, but you said it's on Thursday. Are you sure? W: Oh, sorry. It was a slip of the tongue. I meant Tuesday for sure. 16. 2021新高考I&II卷浙江卷(Text 9) At what time is Michael leaving his place tomorrow morning? A A. 7:40. B. 8:00. C. 8:20. W: Hello, Michael. M: Hi, Sarah. W: Are you attending the conference tomorrow morning at the Shelton Hotel? M: Yes, are you? W: Yeah, but when I arrived home five minutes ago, I found that my car wouldn't start and John is in Brighton on business. M: Do you know what's wrong with the car? W: I'm not exactly sure. I think there is a problem with the engine. Er, I wonder if you could give me a ride to the hotel tomorrow morning? M: Sure. When shall I be at your place? W: Well, what about 8 o'clock? From my place to Shelton, we have to drive through the quarters, so we'd better leave early to avoid the traffic. M: Okay, no problem. It takes twenty minutes to reach your place, so I'll set off at seven forty. By the way, do you also need me to drive you home tomorrow afternoon? W: No, John will be back then and he'll get me home. Thank you Michael. M: That's okay. See you tomorrow. 17. 2019全国II&III卷( text8 ) When will the man meet Mr. Stone this afternoon? C A. At 3:00. B. At 3:30. C. At 3:45. M:Hello, can I speak to Mr.Stone, please? W: Hello, but I'm afraid Mr. Stone is in a meeting until lunchtime. Can I take a message? M: Well, yes. I'd like to make an appointment to see him. It's Harrison White here. W: Just a second, Mr. White. I'll look in the diary. So, when is convenient for you? M: Sometime today, if possible. I hear he'll be away tomorrow. W: Yes, that's right. He'll be on a business trip for a week. M: I need to talk about my new program with him before he leaves. It's urgent. So, would this afternoon be OK? W: Let me see. OK. Mr. Stone is free this afternoon after 3 o'clock. M: Well, 3 o'clock is a bit difficult, but I could make it after 3:30. W: So, shall we say a quarter to four this afternoon in Mr. Stone's office? M: That's great. Thanks. 18. 2021年1月浙江卷( text9 ) How many candidates are the speakers going to meet? B A. 2. B. 12. C. 20. M: How many applications did we get, Mary? W: Well, overall we've got over 200. M: Wow, that many! W: Yes, but most of which we can reject right away, people who don't have the right experience, qualifications, that kind of thing. M: Of course. W: And so, I drew up a shortlist of 12 candidates. M: Are we going to interview all of them? W: I think we should. But certainly, I'll let you have a look first. M: Great, so, who have we got then? W: Well, I think we've got some pretty strong candidates. Two in particular. M: They have the right kind of qualification? W: I'd certainly say so. A strong educational background, experience in sales, language skills... M: Good. I look forward to meeting all of them. W: So, I'd say we do this standard interview format. M: Sure. W: A few general questions, then onto specifics. We could also ask them to give a short presentation. M: Great. I'm really looking forward to this. 19. 2020全国I卷 (Text 6) When is Pete going to see Lucy? B A. At 6:00 p.m. B. At 6:45 p.m. C. At 8:00 p.m. M: Hi, Lucy. This is Pete. W: Hi, what's up? M: Listen, I'm afraid I'll be a little late tonight. Remember I said earlier that I would pick you up at 6:00? Now I'm going to meet you at about 6:45 as there has been a problem here at work. W: OK, don't worry. The film begins at 8:00. I'll wait. M: Good. Get something to eat before I arrive, OK? W: I will. （三）简单计算 特点：需加减乘除，高频考查时间推算、价格折扣、总价、数量差 技巧点拨：听清数字关系（earlier/later/ahead of /delay/discount/per person/），速记并记算 20. 2025年全国一卷text6 What time does school finish on Wednesdays? A A. At 2:00 pm. B. At 2:30 pm. C. At 3:30 pm. M: Miss, I'll need to see your driver's license. W: Was I doing something wrong? M: You're driving in a school zone around the time school lets out. The speed limit is 15 miles an hour, and you were going 35. W: But it's only 2:10 p.m. The students aren't dismissed until 3:30 . M: Today is Wednesday. Students are dismissed an hour and a half earlier on Wednesdays. W: Oh, no, you're right. I just forgot that. 21. 2020全国II卷 (Text 4) When will the flight arrive? C A. At 18:20. B. At 18:35. C. At 18:50. W: Excuse me, could you tell me what time Flight AF35 gets in? M: Well, it's due at 6:20 pm, but the announcement said just now that it has a 30-minute delay because of the bad weather. 22. 2019全国I卷 (text9) How much time will the man probably spend exercising weekly? C A. 300 minutes. B. 150 minutes. C. 75 minutes. M: We all know that exercise is good for us, but sometimes it seems too hard to leave the sofa. W: I can see that. You seldom do exercise. M: Plus, having the doctor tell us to get two and a half hours of exercise a week doesn't really help our motivation much. W: Don't be discouraged. Now, a new study suggests getting benefits from exercise doesn't have to be that demanding. Jacob Sattelmair, from Harvard University has done a study into how much exercise is needed to lower the risk of heart attacks. M: Mm, interesting. W: The study showed that people who put in 300 minutes a week of exercise had a 20% lower risk of death due to heart disease. Still, the people who exercised 150 minutes a week did pretty well too, lowering their death risk by 14%. M: And what about the people who exercise half as much as that like what I probably do. Does that help? W: Of course. Even 15 minutes would help. 23. 2018年全国I卷 (text3) When does the train leave? C A. At 6:30. B. At 8:30. C. At 10:30. W: We'd better be going now, or we'll be late for the train. M: No rush. It's 8:30 now. We still have two hours. 24. 2020年7月浙江卷 text3 What time does Dave's meeting start? B A. At 8:30. B. At 9:00. C. At 10:00. W: It's 8:30, Dave, and you're going to be late for the meeting. M: Oh, my! I just have half an hour left. I can't believe I slept for 10 hours. 25. 2016年10月浙江卷(Text 2) What is the time now? A A. 8 o'clock. B. 10 o'clock. C. 12 o'clock. W: Hurry up. Mum's plane arrives at ten. M: What? We've got only two hours, Jane. 26. 2022年新高考I&II卷&浙江卷 text7 How much did the man spend on the city passes? C A. $36. B. $50. C. $150. M: Hi, Linda. Fancy seeing you here. How long have you been shopping? W: Almost an hour. I have a lot to buy. My daughter Melissa's birthday is coming. I'm trying to get her a good gift, but I don't know what to choose. She seems to have everything she loves. M: Yeah, the same as Clara. We've already had bags of toys she's no longer playing with. So this year, we didn't buy her material things. We gave her an experience gift. W: What's that? M: A city pass, with which she can visit twelve different attractions, including the National History Museum, the Science Museum, the zoo and more. W: How much is it? M: Fifty dollars per person for a year-long pass. I bought three for the whole family. W: So you can have a different outing every month for the entire year? What a great idea! 27. 2019全国II&III卷 (Text 3) How much will the man pay? B A. $20. B. $80. C. $100. M: How much is that in total? W: 100 dollars. But if you have a membership card, I can give you a 20% discount. M: Great. This is my membership card. 28. 2017年全国II&III卷 (Text 3) How much more does David need for the car? A A. $5,000. B. $20,000. C. $25,000. W: David, have you saved enough for the car? M: I have 20,000 dollars now, and the car costs 25,000. My parents said they would like to help, but I don't want to use their money. 29. 2021年1月浙江卷(Text10 ) How old was Gallo when she threw out the bottle? B A. Eight. B. Eleven. C. Fourteen. W: Welcome back, everyone. This is CBA News Radio. Here comes something interesting.Yesterday, a teenage girl named Terra Gallo, from Cumberland, got some unexpected news when she received a handwritten letter from a fisherman saying that her message in a bottle had been found in Spain. Gallo and her sister put messages into bottles and threw them into the ocean while visiting their aunt on Monhegan Island three years ago. The girls had forgotten about the bottles until they were surprised by the fisherman's letter. Gallo, now 14, studied maps and discovered her message traveled about 3,000 miles. Gallo's message asked that whoever found her bottle should put their own message inside with hers and send it back out to sea. The fisherman said in his letter that he had carried out her wishes. 30. 2017年浙江卷11月(Text 3) How many members are there in Alice's group now? B A. Two. B. Four. C. Six M: How big is your research group, Alice? W: Well, there were six of us to begin with. Then two people left. Step3 学生合作归纳时间,价格，数量表达 （一）表述的时间在半小时以内 分钟+ past +小时 Ten past six 6:10 Twenty past four 4:20 Twenty-five past ten 10:25 表述的时间在半小时以外 （相差的）分钟+ to +（下一）小时 10：35 twenty-five to eleven 3:50 ten to four 表述的时间恰好为半小时 half past +小时 3：30 half past three 11：30 half past eleven 表述的时间和15相关有三种表达方法 9：15 nine fifteen；fifteen past nine；a quarter past nine 3:45 three forty-five；fifteen to four； a quarter to four noon / midday 中午 12 点 midnight 半夜 12 点 every other hour每隔一个小时 every two hours每隔两个小时 fortnight 两星期 decade 十年 overnight 一夜 half price / full price 半价 / 全价 20 % off / discount 打8折 a markdown of 15% / a 15% markdown 打八五折 dozen 一打，12个 Step4 作业 完成关于数字题练习，并有意识地运用所学策略。 六.板书设计 主标题：数字信息题精准突破 核心听力策略：听前预判 → 听中速记 → 听后筛选/计算 三大题型：直接获取；排除干扰；简单计算 七、 教学反思与特色 结构化：将分散的真题按认知逻辑重新组织，形成“感知-理解-应用-迁移”的完整学习闭环。 策略化：将解题技巧提炼为可复用的“三步法”和“信号词库”，赋予学生“渔”而非“鱼”。 互动化：增加了诊断、小组探究、等环节，提升了课堂的参与度和思维深度。 学科网（北京）股份有限公司 $