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16:Tc1a,はじめまして！！
物化選択で数Ⅲを利用して受験したものです！  
結論から言うと、数Ⅲを先取りで予習する必要はないと思います。「全体を考慮した際の数学の勉強のペースについて」と「学校のペースに合わせるときに楽になる授業の受け方」の２つの観点から説明しようと思います。

〇勉強のペースに関して
質問者さんの通っている学校のレベルにもよりますが、ある程度の進学校の場合、学校のペースで問題はないかと思います。鉄緑会などで向こうが引っ張ってくれる形なら別として、あまり自力で早くやろうとしても理解の深さとかかる時間が釣り合わなく、効率が悪くなると思います。それよりは、習った範囲（数ⅠAⅡB）や英語の強化に徹するべきです。ちなみに、私は数Ⅰ,Ⅱよりも数A,Bにより力を入れることをお勧めします。前者は、数Ⅲの勉強をしていくうちにできるようになりますが、後者は図形問題など独立して数A,Bの演習が必要になる単元が多いからです。私の学校の場合、高1の冬に数ⅠA、高2の秋ごろに数ⅡB、高3の夏休み前に数Ⅲを終わらせました。質問者さんの投稿から推測すると、私の出身高校と進度がほぼ同じように思われます。そして、夏休みを利用して数Ⅲの演習を重ね、新学期が始まる頃には早慶の過去問をはじめました。ちなみにこのときは全くできなかったですが、過去問をたくさんやった結果、結局は似たパターンの問題が多いことに気付くことができました。また、今の時期に数Ⅲの先取りにあてる時間があるのならば、英語の強化、特に英単語や速読の強化をお勧めします。英単語の勉強には時間がかかりますし、何より英単語が分かるとこれから長文対策をしていく際の苦労が格段に少なくなります。速読に関しては、私はたまに止まってしまうくらいの難易度の英文を毎日1文以上、約10分読むようにしていました。近年の共通テストの傾向を見ても、今後大量の文章を処理することが求められることが推測できます。

〇授業の受け方について
私は、数学に関しては授業前の予習より授業後の復習の方が大切だと考えます。予習に関しては、軽く教科書の内容に目を通しておいて、大体どんなことをやるのか知っておく程度で十分だと思います。それよりは、復習に時間をかけ、自分の言葉でその日やったことを説明できるようにすることが大切です。数学はどうしても前の単元とつながっているので前の内容の理解を深めることが、次の授業での学習効率を深めることにつながります。

以上、参考にしていただければ幸いです。1d:Tfb3,こんにちは。以下私の考えを述べさせていただきます。参考になるところがあれば吸収してください。
まず、いつまでに数学を終わらせるべきかと言うことですが、質問者さんの予定通り、高2の間に終わらせることができれば十分だと思います。もちろん、早いに越したことはないですが、他の教科との兼ね合いもあるでしょうし、高2の間に数3まで一通り終わっていれば、少なくとも不利になることはないと思います。速く終われば高3になる前の春休みから受験に本腰を入れて取り込めます。高3の夏前までに基礎を終わらせて（過去問に入れる程度まで）、夏休みから過去問を触れれば十分早いペースで勉強に取り組めていると思います。夏に基礎固めみたいなものをして、秋や冬から過去問に取り組む人も大勢いますからね。冬は共通テストの勉強も少しはやらなければいけないことや、他の教科も仕上げていかなければならないことも考えると、夏、遅くとも秋にバリバリ過去問に取り組めたら十分順調だと思います。ですから、とりあえずの目標としては、高3になるまでに数3まで基本的なところは終わらせることで良いかと思います。余裕があれば前倒ししていけば良いでしょう。

先取りの方法ですが、やはり問題を解いて慣れるのが一番だと思います。従って、おっしゃるようにフォーカスゴールドを解きすすめるので良いと思います。フォーカスゴールドの中には難易度の高い問題もあると思いますが、そこまで神経質に完璧にせずとも、まずは基本的なところを抑えれば良いと思います。いずれ演習を積むにつれて難しい問題も少しずつ理解できるようになると思います。そのような問題に躓いていては、効率が悪いですから、難易度の高い（星4）の問題などは一旦飛ばしてどんどん進みましょう。特に、数3などは微分積分などで扱う関数は難しいですが、微分して増減表、グラフを書いて面積、最大最小、などやってることは数2と変わりません。ですから、演習を積めば積むほど伸びていくと思います。
わからない部分があれば、教科書の簡単なところに戻ったり、先生に質問するなどすれば良いと思います。自分で考えることも大事ですが、基本的な部分であまりに思い悩むのも効率が悪いです。特に独学ということであれば、わからないことがあったときにいつでも相談できる相手（学校の先生でも塾でもなんでも良いです）を見つけておくと良いと思います。今はネットで調べればなんでも出てくる時代ですから、インターネットやyoutubeなども積極的に利用すれば良いと思います。

最後に予定の改善点ですが、この予定通り進めることができたらかなり有利に戦えると思います。ですから、自信を持って取り組むと良いと思います。先取り学習も大事ですが、その間に数1数2の内容がわからなくなってしまっては本末転倒です。したがって、先取り学習と並行しながら、既習範囲の応用問題なども定期的にこなしていけば良いと思います。既習範囲の演習が積めていれば、模試などでも得点しやすいでしょうから、良いモチベーションになると思います。もちろん、先取りは模試の結果にはすぐには現れないでしょうが、大事です。
今の自分に足りないものを考えて、効率よく学ばれると良いと思います。頑張ってください。応援しています。1e:Tc6d,東北大学は2次試験の教科が国語、数学、英語であり、社会がありませんよね。ですので、先取りしなきゃと焦って理社に今の段階で手を出すことはやめた方がいいです。

英語についてですが、「英文読解の透視図」というものを使っていました。この問題集に出会ったのが高3の受験ギリギリの頃で、もっと早くやっておけばと思いました。東北大は英語がかなり難しいため、構文を上手に把握するためにもこの問題集は役に立つと思います。また、単語帳についてですが、鉄壁がオススメです。東北大はかなり難しい単語が多く出題されるため、鉄壁で語彙を補強することがおすすめです。高2で鉄壁をそこそこ固めることができれば、かなり武器になると思います。
高3の夏頃までに透視図を3周、鉄壁7割を目標としてください。
夏になったら一度過去問に手を出し、問題傾向や量を把握した方が良いです。この頃から、もしも基礎に余裕があるようなら、東北大の英語25か年などに手を出してみても良いと思います。余裕がなければ、夏以降も語彙と構文強化に努めましょう。秋頃になったら、かなり基礎力がついていると思うので、共通テスト型の問題に触れてみてもいいかもしれません。12月になったら共通テストの対策に全振りでいいと思います。共通テスト明けはひたすら過去問を解くって感じです。
数学に関しては、東北大は基礎を落とさないことが大事だと思います。微分積分などは頻出の単元ですので、青チャートレベルの問題が解けるようになることが目標です。これ以上上の問題集に手を出す必要はないかと思われます。3年の夏頃までにある程度固め、夏に過去問を解いて5割を目指したいです。以降は、過去問を解きつつ、解けない問題があったら青チャートに戻るという感じでしょうか。
国語については、現代文の対策をあまりする必要は無いと思います。特に2次はあんまり差がつかないので。ですので、古文が鍵になります。日々単語力はあげてほしいのですが、2次で記述がありますので、敬語と助動詞の完成度を高めることも重要です。この辺も3年夏までにある程度完成させたいところです。以降は記述問題集をやりつつ、共通テストの古文対策をぼちぼち始めます。12月ごろからは、共通テストの古文に全振りです。

理科社会は3年生夏から本格的に始めるのがいいです。ですので、2年生の定期テストなどは手を抜かないようにしてください。全然3年からの負担が違います。学校で習った範囲は今でも軽く復習しておいた方がいいです。

長々と話してしまいすみません、、。
応援していますので、頑張ってください！1f:Tbec,初めまして。九州大学農学部の者です。

数Ⅲの順番は、関数→極限→微積→複素数平面→2次曲線の順番がいいと思います。

私の高校がこのような順番で進んだというのもひとつの理由ですが、出題頻度・重要度の観点からしてもこの順番が良いと思ったからです。

入試において最もよく出題されるのは微積です。複素数平面と2次曲線が試験に出ないという訳ではありませんが、微積に比べると出題パターンが決まっており、あまり出題されにくいです。（大学によると思うので、過去問を見て確認するのが1番だと思います。ここでは出題されにくいと仮定して進めていきます）

微積をやるには関数、極限の知識が必要になります。一部複素数平面や2次曲線の知識を必要とする部分もありますが、あまり多くはありません。逆に、微積の知識を使って複素数平面や2次曲線を解くと簡単だったという問題は多くあると思います。

微積は数Ⅲの中で1番負担が大きいと感じました。そのため、理科や社会の内容が重くなる前にやっておいたらいいと思います。


ここまで数Ⅲの順番をご紹介させていただいたのですが、質問者さんの話を見る限り、もう少し復習をし、夏休み頃から数Ⅲを始めたらいいと思います。

1番の理由は、数Ⅲは数ⅠAⅡBの知識が必須であるため、まずはこの知識を確実に身につけることが大切だと思うからです。数Ⅲの微積は数ⅡBの微分・積分の知識の上に成り立っている分野です。そのため、数ⅡBの知識がないと、数Ⅲで新しく学習することが上手く身につかないと思います。

また、その他の理由としては、質問者さんが志望校としている名古屋大学を含め、多くの大学はセンター試験（共通テスト）の点数を無視できないからです。名古屋大学理系学部では、センター試験の得点割合が30~40%ほどあります。もちろん2次試験で得点を取れば良いという話にはなりますが、ボーダーぎりぎりで2次試験を受けると、緊張や不安などで自分の実力が思うように出せないかもしれません。センター試験（共通テスト）で他の受験生と差をつけておくことで2次試験で実力以上のものが出せると思います。

端的に言うと、数ⅡBの復習を夏休みが始まるまでに終わらせ、東進の共通テスト本番レベル模試で7割～8割ほど取れるようになってから数Ⅲを始めればよいと思います。

長くなってしまいましたが、数学が得意というのは入試において武器になるため、穴を作らないように復習をしつつ応用まで頑張ってください。応援しています!!20:Tecd,4月から高校3年生になるということだと思いますが、今すぐ数Ⅲに入るべきです。その理由はただ1つです。それは数Ⅲは他の科目と比べてもはるかに習得するためにかかる負担が大きいことです。理系に進む生徒の中には夏以降の学習の過半数は数Ⅲの勉強だったというものも少なくありません。理系大学進学の難易度を著しく引き上げている原因や理系が文系に比べると難しいと言われる原因は数Ⅲにあるとも考えられています。

数Ⅲは関数（分数関数や無理関数、逆関数や合成関数）、極限、微分法の基本・応用、積分法の基本・応用の6分野で構成されています。6分野の中で比較的難易度の低い関数や極限ですら、数ⅡBCの1つの分野以上の難しさです。しかも極限は数Ⅱ範囲の対数関数や数B範囲のΣ計算の基本ができていなければ習得することはできません。微分法や積分法に関しては名前からもわかる通り数Ⅱの微分法と積分法の発展です。そのうえこれはあくまでも基本の話です。応用に関してはさらに難易度が高く、問題作成するにあたり比較的応用問題・発展問題を作りやすい分野でもあります。ただでさえ難しい分野ですからその応用問題や発展問題の難易度の高さはかなりのものになります。

かなり厳しいことを言うようですが、千葉大学レベルの国公立大学を志望している高校生は高校2年生の終わりまでに数Ⅲの範囲を1周は終えていることがほとんどです。今更言われても…と思われるかと思いますが、受験数学はなるべく早く1通りの学習範囲を終えることが鉄則です。確かに、数Ⅲに関しては数ⅡBCがある程度完成されていないと習得することが困難な科目ではあります。しかし、共通テストでの完成度を高めることよりも先に数Ⅲを1通り学習することの方が優先度が高いと言えます。

ただ質問者さんはかなり数ⅡBCの完成度が高いと見受けられます。今後夏までの３か月半程度で数Ⅲを確実に完成させてください。そのためには今後の数学学習の大半を数Ⅲにあてることになります。その間も最低限これまでの数学学習で得た技能を低下させないように週に1,2度復習し、1か月で全範囲を軽く1周するのが理想です。

また、数Ⅲの学習方法についてですが、入門問題精巧も青チャートもというととてもやりきれないと思います。基礎から応用までやることのできる問題集を何か1冊に絞って学習することをおすすめします。なお学校で配布されている教科書傍用問題集があればそれをある程度完璧にすることが望ましいです。ちなみにここでいう完璧とは7,8割の完成を3周かけて目指すことです。

しかも質問者さんの得意科目が数学で苦手科目が漢文となるとかなり大変だと思います。質問者さんの英語や化学、物理のレベルがわからないので何とも言えないですが、高校3年生の1年間は平日には1日５時間、休日は1日15時間程度の学習が必要になると思いますし、しかもその学習もかなり効率の良いものでなければなりません。大変なことも多いと思いますが、学習方法や悩み事についてご相談があればいつでもお伺いいたします。いえさんの受験勉強を心から応援しています。2:["$","main",null,{"className":"px-4 pt-4 pb-4","children":["$","div",null,{"className":"max-w-3xl mx-auto w-full","children":[["$","div",null,{"className":"mb-8","children":["$","$L7",null,{"href":"https://unilink-app.onelink.me/isbO/h6xeh63x?advice=gbVR2LOojuW5lqqfPXaT","target":"_blank","children":["$","$L8",null,{"src":"/images/web_to_app_banner.jpg","width":3660,"height":1500,"sizes":"100vw","style":{"width":"100%","height":"auto"},"alt":"UniLink WebToAppバナー画像","className":"mb-4 rounded"}]}]}],["$","h1",null,{"className":"text-xl font-semibold mb-2","children":"数3の予習をするべきか？"}],["$","div",null,{"className":"flex justify-between mb-4","children":[["$","div",null,{"className":"text-left text-xs text-caption","children":["クリップ(",2,") 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mb-1","children":"こんにちは！たまちゃんです。\n数Ⅲは1A2Bと比べても重いので、なかなか進まないと思います。8月末までに予習は終わらせて基本的な問題はある程度解けるようになっていると良いと思います。\n数Ⅲは慣れが必要ですので、演習の時間は十分とって下さい。そう簡単に攻略できる分野ではありません。\n個人的には「微積分の極意」という本がオススメです。最初に計算問題が沢山あって、次に数3を解くにあたって、重要な知識が載っています。ここは休憩時間や暇な時に読んでください。最悪、読まなくても良いですが、読んだ方が良いと思います。最後に標準〜ちょい難　程度の典型問題が載っています。標準と言いましたが、最初は解けないと思います。私もほとんど解けませんでした(苦笑) しかし、何回も解いているうちに解けるようになります。ここはマスターして欲しいです。因みに、私が受験した東京理科の数学の問題で、この本に載っている類題が出ました。このように、いろいろな大学で出題されている問題ばかり載っているので、マスターして欲しいです。\nそれが終わると過去問をやりましょう。全く歯が立たないという問題はあまりないはずです。\n過去問を直前に取っておきたい人は新演習がオススメです。新演習は東工大よりも易しめの問題から東工大に出てもおかしくないようなレベルの問題が載っています。東工大の過去問と遜色ないレベルですので、やる価値はあると思います。\n東工大の数学は出る範囲がある程度決まっています。\n複素数、微積分、確率、整数などは頻出です。ですので、この辺りを重点的にやりましょう。\n\nコロナで夏休みが少なくなるかもしれませんが、やはり夏休みは受験に置いてとても重要な期間になると思います。体調管理に気をつけながら頑張って下さい！応援しています📣\n"}],["$","div",null,{"className":"flex mb-1","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 24","className":"text-subPrimary 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"数３の予習について"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"数3の予習をゴリゴリ進めちゃっていいよ！！\n数3って新しい内容もあるんだけど、基本今までやった1a2bを絡めた問題だから解くだけで復習にもなる🙆‍♂️\nちなみに数3の分野は↓みたいな感じ\n\n①平面上の曲線\n楕円とか双極線っていう、円の上位互換みたいなやつが出てくるよ〜。\n→数2の図形と方程式の応用！\n\n\n②複素数平面\n複素数を図形的に扱っていく単元だよ！図形を回転させれるようになるね🙆‍♂️\n→数2のいろいろな式の範囲の複素数が絡む！\n\n\n③関数と極限\n数2指数関数、対数関数、三角関数、数B数列ができたら、それを無限大までビヨーンって伸ばすとどうなるのってお話しだね。\n→上に書いた単元がからむ！\n\n\n④微分\n今までの微分より関数が複雑になっていくよ！でもパターンがあるから網羅できれば大丈夫👌\n→数Bの微分がからむ！\n\n⑤積分\n体積とか曲線の長さを求められるようになるよ🙆‍♂️簡単ではあるけど計算が面倒になるから計算力も必要！\n→数Bの積分がからむ！"}],["$","div",null,{"className":"flex mb-1","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 24","className":"text-subPrimary mr-1","children":["$undefined",[["$","path","0",{"fill":"none","d":"M0 0h24v24H0V0z","children":[]}],["$","path","1",{"d":"M12 6c1.1 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"教科書レベルで先取りか単元ごとの深い理解か"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"言われているほど、例年はそこまで数Ⅲは出題されていなかったのですが、去年はえげつなかったですね。。\n\nそれはともかく。\nこれは人によって意見はバラけるので、あくまで参考までに。\n僕は予習:復習=2:8くらいがいいと思います。\n予習ゼロで行くのは授業での吸収率も悪いですし、その分課題も時間がかかってしまいます。\nまた、完全な独学での予習も時間がかかりすぎてしまいます。\n\nなのちょっとだけ予習していって、概要をざっくり掴んでから授業に臨むことをおすすめしておきます。\n\nそこまでじっくり時間をかけなくてもいいので、教科書をちょっと読むなり、YouTubeやYahooでちょっとかじる程度でいいです。\n余裕があれば解ける範囲でチャートを解いてみてもいいかもしれません。\n\n予習範囲は\n予習→授業→課題→チャート→テスト\nの流れで、余力があれば既習分野のチャートを進めていくのが効率的だと思います。\n\nこれなら、授業の時間を有効に使えますし、定期テストも高得点が狙えます。\n\n優等生すぎて不安になりますね（笑）\n"}],["$","div",null,{"className":"flex mb-1","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 24","className":"text-subPrimary mr-1","children":["$undefined",[["$","path","0",{"fill":"none","d":"M0 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