通過新舊SAT對(duì)比和新SAT考查知識(shí)點(diǎn)分析,我們來看看中國學(xué)生還能繼續(xù)延續(xù)以往在數(shù)學(xué)科目上的優(yōu)勢嗎?今年新SAT考試登場,中國學(xué)生是否還能繼續(xù)延續(xù)以往在數(shù)學(xué)科目上的優(yōu)勢呢?一起來看看吧。
新舊SAT對(duì)比:
新SAT考查知識(shí)點(diǎn):
題目分析
新SAT數(shù)學(xué)不僅在知識(shí)點(diǎn)考查方面更加貼近實(shí)際生活應(yīng)用,包括題目和題型也變得更加接地氣。最明顯的表現(xiàn)是題目長度大大增加,單詞難度加大,長句出現(xiàn)頻率增加,這對(duì)學(xué)生的閱讀能力和速度提出了更高的要求。
閱讀量增加
與美國學(xué)生相比,以往中國學(xué)生贏在數(shù)學(xué)知識(shí)和計(jì)算能力,但中國學(xué)生在專業(yè)英語詞匯量、與實(shí)際生活聯(lián)系、邏輯思維、批判性思維閱讀上與美國學(xué)生存在很大差距。
應(yīng)對(duì)策略
所以,在單詞方面,學(xué)生首先要對(duì)數(shù)學(xué)專業(yè)詞匯以及常見表達(dá)熟練掌握,同時(shí)在平常也需要更多積累其他STEM相關(guān)領(lǐng)域詞匯和背景知識(shí)。針對(duì)題目中的長句,則需要快速理解題意辨識(shí)出考查的知識(shí)點(diǎn),然后分析句子結(jié)構(gòu),迅速剝離出與解題相關(guān)的數(shù)據(jù)信息。包括題目最后的問題也會(huì)經(jīng)常出現(xiàn)在長句中,如果句子沒有讀懂,那么很有可能會(huì)減緩做題速度甚至?xí)绊懡忸}切入點(diǎn)。
例題:An online store receives customer satisfaction ratings between 0 – 100, inclusive. In the first 10 ratings the store received, the average (arithmetic mean) of the ratings was 75. What is the least value the store can receive for the 11th rating and still be able to have an average of at least 85 for the first 20 ratings.題目主要意思為:一家在線商店會(huì)收到評(píng)分為0-100分之間的顧客滿意度評(píng)價(jià),收到的前10個(gè)評(píng)價(jià)得分平均為75,如果要保證前20個(gè)評(píng)價(jià)的平均得分為85,商店收到的第11個(gè)評(píng)價(jià)的最少為多少分?大家可以發(fā)現(xiàn)題目非常貼近我們的生活,在網(wǎng)購如此發(fā)達(dá)的中國,相信大家作為買家都給過店家評(píng)價(jià)吧。在這道題中,商店需要計(jì)算好評(píng)率。這類題我們都可以看做“應(yīng)用題”,解答應(yīng)用題首先需要將題目給出的情境抽象化:在0-100中先按順序選擇10個(gè)數(shù),他們的平均數(shù)為75,如果再依次選擇10個(gè)數(shù),為了保證這20個(gè)數(shù)的平均數(shù)為85,第11個(gè)數(shù)最少應(yīng)該是幾?
然后再根據(jù)我們已經(jīng)掌握的相關(guān)知識(shí)點(diǎn)解題即可。
題目的內(nèi)容和形式更加多樣化:與實(shí)際生活、工作相結(jié)合
要求:積累與留心更多社會(huì)常識(shí)與經(jīng)驗(yàn)
例題:A bank has opend a new branch and ,as part of a promotion, the bank branch is offering $1,000 certificates of deposit at an interst rate of 4% per year, compounded semiannually. The bank is selling certificates with terms of 1,2,3 or 4 years. Which of the following fuctions gives the total amount, A, in dollars, a customer will receive when a certificate with a term of k years is finnally paid.A) A= 1,000(1+0.04K)B) A=1,000(1+0.08K)C) A=1,000(1.04)kD) A=1,000(1.04)2k
解讀:銀行幾乎與每個(gè)人的生活都息息相關(guān),存款利率與收益具體如何計(jì)算則是這道題考查的重點(diǎn)。
例題:The cost of using a telephone in a hotel meeting room is $0.20 per minute. Which of the following equations represents the total cost c, in dollars, for h hours of phone use?A) c = 0.20(60h)B) c = 0.20h+60C) c = 60h/0.20D) c = 0.20h/60
解讀:在實(shí)際生活中,在酒店除了房間費(fèi)用,其他費(fèi)用包括電話,mini-bar里的食品,甚至網(wǎng)絡(luò)都是要收取相應(yīng)費(fèi)用的。這道題則是需要我們根據(jù)題目提供的信息建立酒店會(huì)議室電話費(fèi)的計(jì)算公式。
圖表題增加
要求:提高解讀和整合數(shù)據(jù)能力
例題:Michael swam 2,000 yards on each of eighteen days. The scatterplot above shows his swim time for and corresponding heart rate after each swim. The line of best fit for the data is also shown. For the swim that took 34 minutes, Michael’s actual heart rate was about how many beats per minutes less than the rate predicted by the line of best fit?A) 1B) 2C) 3D) 4
解讀:想要看懂圖表,就需要理解圖表中橫縱軸以及點(diǎn)、線對(duì)應(yīng)題目中的哪些文字信息。 這道題中則需要重點(diǎn)理解根據(jù)已知數(shù)據(jù)做出的預(yù)測與實(shí)際數(shù)據(jù)之間是會(huì)存在偏差,然后根據(jù)題目要求計(jì)算出實(shí)際差值。
與STEM,美國社會(huì)科學(xué)知識(shí)等領(lǐng)域緊密相關(guān)
要求:具備相應(yīng)的科學(xué)背景知識(shí)、信息處理能力以及邏輯推理能力
例題:a = 1,052 + 1.08tThe speed of a sound wave in air depends on the air temperature. The formula above shows the relationship between a, the speed of a sound wave, in feet per second, and t, the air temperature, in degrees Fahrenheit (°F). Which of the following expresses the air temperature in terms of the speed of a sound wave?A) t = (a-1052)/1.08B) t = (a+1052)/1.08C) t = (1052-a)/1.08D) t = 1.08/(a+1052)
解讀:這答題涉及物理學(xué)科相關(guān)知識(shí),題目中已經(jīng)給出公式以及相應(yīng)解釋。只要理解變量的意義以及相應(yīng)單位,就可以按照題目要求解題。
例題:The number of states that joined the United States between 1776 and 1849 is twice the number of states that joined between 1850 and 1900. If 30 states joined the United States between 1776 and 1849 and x states joined between 1850 and 1900, which of the following equations is true?A) 30x=2B) 2x=30C) x2=30D) x+30=2
解讀:美國是聯(lián)邦制國家,各個(gè)州加入聯(lián)邦的時(shí)間不同,這道題以此背景,實(shí)際上考查學(xué)生找到變量和常量,建立簡單方程式的能力。
例題:In order to determine if treatment X is successful in improving eyesight, a research study was conducted. From a large population of people with poor eyesight,