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      歡迎來到原中小學教育資源網!

      五年級數學《小數乘法》課件

      課件 時間:2017-12-09 我要投稿
      【www.51cxty.com - 課件】

        【教學目標】

        1、知識技能:創設情境,讓學生自主探索小數乘整數的計算方法。

        2、數學思考:讓學生在活動中理解和掌握小數乘整數的過程。

        3、問題解決:理解和掌握小數乘整數的算理和算法,獲得解決問題的能力。

        4、情感態度:在學習過程中體會小數乘法在實際生活中的應用,體驗成功的樂趣。

        【教學重點】理解小數乘整數的算理及算法。

        【教學難點】確定小數乘以整數的積的小數點位置的方法。

        【教學準備】課件

        【教學過程】

        一、出示主題圖引入

        秋天到了,人們都在廣場放風箏。有三個小同學也想去放風箏,他們想買一樣的風箏(課件展示例題圖)。大家仔細觀察,從圖中你了解到哪些信息?

        【設計意圖:通過生活情境的引入,調動了學生的學習興趣,滲透數學來源于生活應用于生活的思想,并為下面學生自主探究小數乘整數提供條件。】

        二、探索新知

        (一)了解小數乘整數

        1.根據圖意,教師提出:如果買一個老鷹風箏3.5元,那么買這樣的三個估計需要多少錢呢?學生思考并匯報。

        師:你們能不能準確算出一共需要多少錢?

        學生獨立計算。

        指名匯報(可能想出幾種不同的方法),教師根據學生敘述板書:

        方法1:連加。

        方法2:化成元角分計算,先算整元,再算整角,最后相加。

        方法3:豎式筆算35角×3=105角。

        方法4:豎式筆算3.5元×3=10.5元。

        買5個要多少元呢?會用這種方法算嗎?

        【設計意圖:在實際的問題情境中,讓學生運用原有的知識經驗自主地進行估算、筆算,培養了學生的估算能力、計算能力的同時,讓學生懂得估算也是檢驗筆算的一種方法。在探究計算方法時,教師為學生搭建了充分發揮自己能力的平臺,利用已有知識解決問題,同時又了解了新的解決方法──豎式筆算。這樣不僅鍛煉學生的自主能力,學生的發散思維也得到了發展。】

        2.小結引出課題。

        師:剛才我們在解決買三個風箏一共用多少錢時,想到了幾種不同的方法(教師指板書),可以用小數加法解決, 可以化成元角分來解決,還想到了把元角分轉化成乘法豎式來計算,同學們可真棒。

        (二)自主探索小數乘整數的算理、算法

        1.比較發現。

        師:同學們看這個乘法算式,與以前學的乘法算式有什么不同?學生會發現,算式中有小數或小數乘整數。

        師:這就是我們今天要研究的問題。(板書:小數乘整數。)

        2.嘗試解決。

        教師出示0.72 × 5。

        師:同學們看0.72不是錢數了,沒有元角分這樣的單位了,能不能計算出結果呢?

        (1)學生獨立思考。

        (2)小組交流計算方法。

        (3)匯報演示。學生匯報的同時展示學生計算過程。可能有兩種方法:加法和乘法。引導學生進行比較,認識到乘法比較簡便。

        教師板演乘法豎式計算過程。

        (4)理解算理算法。

        師:仔細觀察乘法算式,誰能給大家解釋一下,你是怎樣計算的。

        (教師重點引導學生理解三點:怎樣把乘數轉化成整數;乘積如何處理;積末尾的0如何處理。更好地理解算理。)

        (5)互動交流,總結概括。

        師:同學們在計算小數乘整數時,想到了用轉化的方法把小數乘法轉化成整數乘法計算。誰能舉個例子和大家說說具體的方法,計算時應注意什么呢?

        學生舉例子說明算理,并板書。

        【設計意圖:教師作為一名點撥者、合作者,在重點處啟發引導,幫助學生較好地理解小數乘整數的算理及方法。通過獨立思考與合作交流,充分展示學生的知識潛能及合作能力,并自主獲取小數乘整數的計算方法,理解算理。】

        三、鞏固練習

        1.填空。

        4.5            (    )            0 .7 4           (    )

        ×    3            ×   3            ×   2         ×    2

        (     )            1 3 5          (       )          1 4 8

        2.算一算,比一比。

        7×4    0.7×4    25×6    2.5×6

        學生計算后,引導學生說一說是怎樣算的,比較小數乘整數與整數乘整數有什么不同。

        3. 解決問題:小明一家要到250千米外的阿姨家作客。爸爸汽車的油箱里有21升汽油,每升汽油可供汽車行駛9.5千米。爸爸中途要加油嗎?

        【設計意圖:通過多種形式的練習,既加強了學生對小數乘整數的理解,又使學生能夠靈活應用所學知識解決問題,并使不同層次的學生從中體會到成功的快樂。】

        四、總結

        師:誰來說說小數乘整數的計算過程?

        ① 先把小數擴大成整數;

        ② 再按整數乘法的法則算出積;

        ③ 然后看因數里有幾位小數,就從積的右邊起數出幾位,點上小數點。

        ● 注意:如果積的末尾有0,要先點上積的小數點,再把小數末尾的“0”去掉。

        五、作業: 練習一    1~4

        六、板書:       小數乘整數

        3.5元                      3 5角

        ×   3                       ×  3

        1 0. 5 元                   1 0 5角

        例2

        0. 7 2  擴大到它的100倍      7 2

        ×   5                   ×     5

        3. 6 0                     3 6  0

        縮小到它的1/100

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