章节大纲

  • How many times can you reload the water gun?
    ::你能重新装上多少次水枪?

    lesson content

    At the park, you and your friends has a big water gun battle.  There is a big bucket of water that you use to fill your water gun. Your water gun can only carry a certain amount of water before it fills to capacity.
    ::在公园里,你和你的朋友们有一场巨大的水枪战斗。有一大桶水,你用来填充你的水枪。你的水枪只能携带一定量的水,然后才能充充充能力。

    Use the interactive to see how many times you can reload the water gun before you have to run to fill the bucket up with more water.  Through this lesson, you will use tape diagrams to [visualize] fraction division and solve for the quotients .
    ::使用互动来查看您可以重新装入水枪多少次, 然后再运行才能用更多的水填满水桶。 通过这个课程, 您将使用磁带图解解析分数, 并解析商数 。

     

    INTERACTIVE
    Water Gun Measure
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    • You have  1 4 5  gallons of water in a bucket, and your water gun holds 3 5  of a gallon.
      ::你的水桶里有145加仑的水 你的水枪里有35加仑的水
    • Click "Next" to see how mixed numbers are divided by fractions.
      ::单击“ 下一步” 来查看混合数字是如何除以分数的 。
    • Enter the quotient to finish the problem.
      ::输入结束问题的商数。
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    How many servings of frozen yogurt?
    ::有多少冷冻酸奶服务?

    lesson content

    A serving size of  soft serve frozen yogurt  is  3 4  cup. Alexander only has  2 3  of a cup of frozen yogurt left in his bowl. 
    ::冷冻酸奶是34杯 Alexander的碗里只有23杯冰冻酸奶

    In this interactive, use the tape diagrams to visualize dividing fractions to find what fraction of a serving Alexander has left in his bowl.
    ::在此互动中,使用磁带图来直观地分解分数,以找到供货的亚历山大留下的几分数。

     

    INTERACTIVE
    Frozen Yogurt
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    • Move the red bar on top of the blue bar such that the black lines overlap.
      ::将红色条移到蓝色条上方,使黑线重叠。
    • Then enter the correct amount of sections in each fraction.
      ::然后在每个分数中输入正确的分节数量 。
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    How often does a remote control car need new batteries?
    ::遥控车需要新电池的频率是多少?

    lesson content

    Mira read in the manual for her new remote control car that the car can drive for  2 3  of a mile before it needs new batteries. Mira wants to drive the car to her friend's house which is  4 5 miles away . She wants to know how many times she has to change batteries in the car on the trip so she can be sure to bring enough batteries.
    ::Mira在她的新遥控车手册中读到,汽车在需要新电池之前可以开23英里。 Mira想将车开到45英里外的她朋友家。她想知道在旅途中她有多少次需要更换汽车的电池,这样她就能保证带足够的电池。

    Use the interactive below to visualize dividing fractions and model how many full charges it takes to drive to her friend’s house.
    ::使用下面的交互方式, 以可视化分割分数, 并模拟开往她朋友家需要多少全额费用。

     

    INTERACTIVE
    Car Batteries
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    • Move the red bar on top of the blue bar such that the black lines overlap.
      ::将红色条移到蓝色条上方,使黑线重叠。
    • Click "Show Divisions" then enter the correct amount of sections.
      ::单击“显示分区”然后输入正确的区域数量。
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    Can you create your own story?
    ::你能创造你自己的故事吗?

    lesson content

    In the next interactive, create and divide your own fractions. What context or situation can you think of that would reflect the diagram that you create?
    ::在接下来的互动中,创建和分割您自己的分数。您可以想到哪些背景或情况可以反映您创建的图表?

     

    INTERACTIVE
    Story Creation
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    • Input fractions less than 1 you would like to divide in the form "Numerator/Denominator".
      ::输入分数小于 1 , 您想要以“ 纳米器/ 驱动器” 的形式分隔 。
    • Move the red bar on top of the purple bar such that the vertical black lines overlap.
      ::将紫条上方的红条移到垂直黑线重叠的紫条上方。
    • Then enter the correct amount of sections they have been divided into.
      ::然后输入他们所分类的部分的正确数额。
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    Discussion Questions
    1. What do each of the fractions in your story represent?
      ::你故事中的每一个分数代表什么?
    2. Why are the fractions being divided?
      ::为什么分数被分开?
    3. What does the quotient represent?
      ::商数代表什么?
      Summary
    • Use tape diagrams to represent dividing two fractions.
      ::使用磁带图表示两个分数的除法 。
    • When dividing a number by a fraction, flip the second fraction and multiply. For example:  2 ÷ 1 3 → 2 × 3.  
      ::当将数字除以分数时, 翻转第二个分数并乘以乘数 。 例如 : 2\\ 13\ 2x3 。