章节大纲

  • 常规

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  • 速率率率率

    How do equivalent fractions work?
    ::等效分数如何起作用?

    Use the interactive to  figure out the numerator of the green fraction. Through out the lesson , you will use fractions to explore how rates relate to ratios.
    ::使用交互程序来解析绿色分数的分子。 通过课程, 您将使用分数来探索比率与比率的关系 。

     

    INTERACTIVE
    Equivalent Fractions
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    • Move the red points to divide the circle on the right into 6 pieces.
      ::将红点移动,将右侧的圆分为6块。
    • Next, move the blue circle over to the green one so that they overlap.
      ::接下来,把蓝色圆圈移到绿色圆圈,这样它们就会重叠。
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    1.

    The blue circle is broken into 3 equal pieces and all three pieces are shaded in to show @$\begin{align*}\tfrac{2}{3}.\end{align*}@$
    ::蓝色圆被折成 3 相等的块, 所有三个块都以阴影显示 @$\ begin{ align} tfrac{ 2\\\\ 3}. end{ align} $

    TRUE
    ::真实

    FALSE
    ::公平交易

     

    How do you make rice cereal treats?
    ::你如何做大米谷类食谱?

    lesson content
    Puffed Rice and Marshmallow Treats

     

    To make rice cereal treats, mix together these ingredients:
    ::为了提供大米谷类食谱,

    • 1 4  cup melted butter
      ::14杯熔化黄油
    • 4 cups mini marshmallows
      ::4杯小型棉花糖
    • 5 cups rice cereal
      ::5个5杯大米谷

    Mix the butter and marshmallows together on the stove with low heat. After stirring in the cereal, press the mixture into a pan and allow it to cool.
    ::将黄油和棉花糖混合在炉子上,温度低。在搅拌麦片后,将混合物压成锅,让它冷却。

    A rate   is a type of ratio that relates two quantities with different units. In the following interactive, examine how ratios can be expressed as rates.
    ::A 比率是一种比率,涉及两个数量和不同单位。在下文互动中,审查如何将比率表述为比率。

     

    INTERACTIVE
    Ratios to Rates
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    • Change the number of marshmallows and rice cereal to change the ratio and rate.
      ::改变棉花糖和稻米谷物的数量,以改变比例和比例。
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    Discussion Question: When have you heard the word rate used before?
    ::讨论问题:你什么时候听说过以前使用的字速率?

      

    How do you make a lava lamp?  
    ::你怎么做熔岩灯的?

    lesson content
    Science Class Lava Lamp

    To make a lava lamp, fill a jar with the following ingredients:
    ::制造熔岩灯,装满罐子,配有以下成分:

    • Food coloring drops
      ::食品彩色滴滴
    • 1 3  jar of water
      ::13罐水
    • 2 3  jar of cooking oil
      ::23罐食用油
    • 1 4  a lka seltzer tablet
      ::14张alka soltzer平板

    Using this interactive, you will express ratios as fractions as well as with tape diagrams.
    ::使用此互动方式, 您将使用磁带图和分数表示比例 。

    INTERACTIVE
    Lava Lamp Tape Diagram
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    • Use the plus and minus buttons to add or subtract water and cooking oil.
      ::使用增减按钮添加或减去水和食用油。
    • The rate changes based off of how much of each ingredient you have.
      ::率的变化是基于 你拥有的每种成分的多少。
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    Discussion Question:   Which form of rate do you prefer?   2 5 3 5  or  2 3 ?
    Discuss with your class or your friends.
    ::讨论问题:你喜欢哪种费率? 2535或23? 与你的班级或朋友讨论。

     

    How do you make soothing bath salts?
    ::你如何制成安慰浴盐?

    lesson content
    Homemade Bath Salts

    You can make your own bath salts by mixing these ingredients:
    ::您可以混合这些成分,制做自己的浴盐:

    • 3 cups epsom salt
      ::3个杯子Epsom盐
    • 1 cup sea salt
      ::1杯海盐
    • Essential oil (for scent)
      ::基本油(用于气味)
    • Colorant
      ::颜色颜色

    Using the next interactive, describe the ratio of epsom salt to sea salt with fractions as well as with a visual diagram.
    ::使用下一张互动图,用分数和直观图描述乳盐与海盐的比例。

    INTERACTIVE
    Bath Salt Mix
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    • Click the plus and minus buttons to add or subtract the salts from the screen.
      ::单击增减按钮从屏幕上添加或减去盐类。
    • Try making different ratios of epsom salt to sea salt.
      ::尝试做出不同比例的 epsom盐与海盐。
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       Summary
    ::摘要

    • A rate is a type of ratio that relates two quantities with different units .
      ::A 率是一种比率类型,涉及两个数量和不同单位。
    • Rates can be used in recipes, finding the speed of something, and can help  compare  prices.
      ::利率可以用于食谱,找到某种东西的速度,并有助于比较价格。
    • Some common units for rates are: hours and distance, dollars and ounces, or dollars and time for workers! 
      ::一些通用的费率单位是:小时和距离、美元和盎司,或工人的美元和时间!