章节大纲

  • What's the best way to sort  coral?
    ::珊瑚的最佳分类方法是什么?

    The  image below displays a coral reef. If you sorted the coral by color, how many groups would you have? If you sorted by shapes of coral, how many groups would you have? In this lesson, you will learn to describe two quantities and represent them with pictures.
    ::下面的图像显示一个珊瑚礁。 如果您按颜色对珊瑚进行分类, 您需要多少组 ? 如果您按珊瑚形状进行分类, 您需要多少组 。 在此课中, 您将学会描述两个数量, 并用图片来代表它们 。

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    In the picture above, there are 6 pink corals and 1 grey coral. Select the following statement that describes how many grey corals there are, compared to how many pink corals there are.
    ::在以上图片中, 有6个粉红珊瑚和1个灰珊瑚。 请选择以下的语句, 描述与有多少粉红珊瑚相比, 有多少灰珊瑚 。

    a

    There are half as many pink corals as there are grey corals.
    ::粉红珊瑚的数量是灰珊瑚的一半。

    b

    For the 6 grey corals, there is 1 pink coral.
    ::对于6个灰珊瑚,有1个粉红珊瑚。

    c

    There are half as many grey corals as there are pink corals.
    ::灰珊瑚的数量是粉红珊瑚的一半。

    d

    For the 1 grey coral, there are 6 pink corals.
    ::对于1个灰珊瑚,有6个粉红珊瑚。


    How do you use ratios in baking?
    ::你如何使用比例做烘烤?

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    Sugar Cookies
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    Angie wants to bake cookies for a bake sale. The recipe says, "for every 1 cup of butter use 3 cups of flour."
    ::食谱上说,“每一杯黄油就用三杯面粉。”

     

    What does "for every" mean in the recipe?
    ::配方里"为每个人"是什么意思?

    a

    "For every" means the same thing as "for each" or per"
    ::"对每个" 意思和"对每个" 或"对每个" 意思相同

    b

    "For every" means the same thing as "always" or "forever"
    ::"对每一个" 都意味着和"永远"或"永远"一样的东西

    c

    "For every" means the same thing as "instead of"
    ::"对每一个"意味着 和"而不是"一样的东西

    d

    None of these answers are correct
    ::这些答案都不正确

    Y ou can use the word ratio to show the relationship between quantities. A recipe might say , "for every  5 cups of flour use  3   eggs ." So, the ratio of flour to  eggs   w ould be   5 : 3 .
    ::你可以用这个词来显示数量之间的关系。一种食谱可能会说,“每5杯面粉就用3个蛋。”所以,面粉与蛋的比例是5: 3。

     


    Block Color Ratios
    ::块块颜色比率

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    Colored toy blocks

    Make your own groups by sorting the blocks in the interactive below. Think about how you can make ratios with the groups of blocks.
    ::通过在下面交互的区块中进行排序, 建立自己的区块组。 想想如何与区块组比 。

    INTERACTIVE
    Pictures of Ratios
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    • Sort the shapes by dragging them into the boxes that match their color.
      ::将形状拖放到符合颜色的框中, 以此排序形状 。
    • After you sort the shapes, fill in the blanks to complete the ratio sentences.
      ::在排序形状后,填写空白以完成比例句。
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    Pancakes
    ::煎饼

    You can think about how sorting and ratios relate to division while using this PLIX.
    ::您可以在使用此 PLIX 时, 思考分类和比例与分割的关系 。

    Example
    ::示例示例示例示例

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    Monarch Butterfly showing four wings

    Every butterfly has four wings. The relationship between butterflies and wings  can be described as:
    ::每只蝴蝶有四个翅膀,蝴蝶和翅膀之间的关系可以描述为:

    • Four wings for every butterfly.
      ::每只蝴蝶四翼
    • For every four wings there is one butterfly .
      ::每四个翅膀就有一只蝴蝶
    • Four wings per butterfly.
      ::每只蝴蝶四翼
    • One butterfly per four wings.
      ::每四个翅膀一只蝴蝶
    • The ratio of  wings  to  butterflies is 4:1.
      ::翅膀对蝴蝶的比例是4:1。
    • The ratio of wings to butterflies is 4 to 1.
      ::翅膀和蝴蝶的比例是4比1
    • Each butterfly has four wings.
      ::每只蝴蝶有四个翅膀
    • Every four wings equal one butterfly.
      ::每四个翅膀等于一个蝴蝶
    • The ratio of butterflies to wings is 1:4.
      ::蝴蝶与翅膀的比例是1: 4。
    • The ratio of butterflies to wings is 1 to 4.
      ::蝴蝶与翅膀之比是1比4

       Remember This!
    ::记住这个!

    •   A ratio is the relationship between two or more quantities. 
      ::A比率是两个或两个以上数量之间的关系。
    • Words such as, "for every", "for each", and "per"  are used to describe ratios.
      ::诸如“每个”、“每个”和“每个”等词用来描述比率。

    Review Questions
    ::回顾问题

    Would you rather sort the corals by color or by shape? Explain your reasoning.
    ::您更喜欢用颜色或形状来排序珊瑚吗? 请解释一下您的推理。

    Some people argue that the ratio of ingredients in a recipe doesn't matter as long as you have the right total amount . Do you agree or disagree? Explain your reasoning.
    ::有些人认为配方中成分的比例并不重要,只要你拥有正确的总数量。你同意还是不同意?解释你的推理。

    True or False: If the ratio of red blocks to blue blocks is 2:3, this means there are more red blocks than blue blocks. Explain your answer.
    ::True 或 False: 如果红区块与蓝区块的比例是2: 3, 这意味着红区块比蓝区块多。 请解释您的答案 。

    Predict what would happen to the number of wings if the number of butterflies increased by 5.
    ::预测如果蝴蝶数量增加5只,翅膀的数目会如何。