章节大纲

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  • 单位费率

    Can you share a chocolate bar?
    ::你能一起吃巧克力吗?

    Use the interactive to divide Sarah’s whole chocolate bar into parts for her friends. Later in this lesson, you will use tape diagrams to divide a “whole” into “parts” as you build unit rates.
    ::使用互动工具将莎拉的整个巧克力条分割成朋友的部分。 稍后,在这个课中,你将用磁带图将“整块”分割成“部分 ” , 以构建单位利率。

    In the interactive below, drag the brown rectangle pieces of Sarah's chocolate bar to each of her friends as described in the story at the top of the interactive window.
    ::将莎拉巧克力棒的棕色矩形碎片 拖到她每个朋友面前 就像互动窗口顶端的故事所描述的那样

     

    INTERACTIVE
    Sharing a Chocolate Bar
    minimize icon

    Sarah shares her chocolate bar with her friends.
    ::Sarah和她的朋友一起吃巧克力吧

    • First, Sarah gives Zack   1 6  of the bar.
      ::首先,莎拉把Zack 16的酒吧给了Zack
    • Next, she gives Rob  1 5  of the remaining bar. 
      ::接下来,她给Rob 15 剩下的酒吧。
    • Next, she gives Gaby  1 4  of what is left. 
      ::接下来,她给盖比14 剩下的。
    • Finally, Sarah gives Drew  2 3  of what is remaining. 
      ::最后,莎拉给了德鲁23 剩下的。
    • Sarah eats the rest of the bar. 
      ::Sarah吃剩下的酒吧。
    • Drag the appropriate amount of chocolate next to each person.  
      ::将适当的巧克力量拖到每个人旁边。
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    1.

    Sarah broke her chocolate bar into 6 equal pieces. How much of the whole bar did she give to Gaby?
    ::Sarah把她的巧克力棒破碎成6平方块 她给了Gaby多少?

    a

    @$\begin{align*}\frac{1}{6}\end{align*}@$
    ::@ $\ begin{ align}\\ frac{ 1\\\\\\\\\\\\\\\\\\\\\\\\\\end{ 调整} $

    b

    @$\begin{align*}\frac{2}{6}\end{align*}@$
    ::@ $\ begin{ align}\\ frac{ 2\\\\\\\\\\\\\\\\\\\\\\\\end{ 调整} $

    c

    @$\begin{align*}\frac{1}{4}\end{align*}@$
    ::@ $\ begin{ align}\\ frac{ 1\\\\\\\\\\\\\\\\\\\\\\\\\\end{ 调整\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\

     

     

    How do you make slime?
    ::你怎么制造粘液的?

    lesson content
    Green slime toy

     

    You can make slime by mixing all of these ingredients together:
    ::您可以将所有这些成分混合在一起, 制造粘液 :

    • 2 cups of white glue
      ::2杯白胶水
    • 1 cup of water
      ::1杯水
    • 1 cup of liquid starch
      ::1杯液体淀粉
    • A few drops of food coloring
      ::几滴食物彩色

    In the interactive below, create your own slime by mixing the above ingredients together. Observe how the tape diagram is formed when creating your slime.
    ::在下面交互的下方, 通过将上述成分混合到一起, 创建您自己的粘液。 查看磁带图在创建您的粘液时是如何形成的 。

     

    INTERACTIVE
    Making Slime
    minimize icon

    You plan on making 12 cups of slime. The recipe for slime is the following:
    ::你计划做12杯粘液。粘液的配方如下:

    • 2 cups of white glue
      ::2杯白胶水
    • 1 cup of water
      ::1杯水
    • 1 cup of liquid starch
      ::1杯液体淀粉

    Once the slime is made correctly, pick a color by dragging the red point to finish.
    ::一旦粘液正确, 将红色点拖到完成时选择颜色 。

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    How do you make strawberry banana ice cream?
    ::你怎么做草莓香蕉冰淇淋?

    lesson content
    Kiwi Strawberry-Banana Sundae

    You can make strawberry banana ice cream by blending the following ingredients until smooth:
    ::您可以混合以下成分,制成草莓香蕉冰淇淋,直到平滑:

    • 3 sliced frozen bananas
      ::3片冷冻香蕉
    • 2 cups of strawberries
      ::2杯草莓

    Using the next interactive, create even amounts of strawberry banana ice cream by filling out the double number line diagram below.
    ::使用下一次互动,在下面填上双数字线图,以创造偶数的草莓香蕉冰淇淋。

     

    INTERACTIVE
    Strawberry Banana Ice Cream
    minimize icon
    • Input the correct number of cups of strawberries to make even amounts of strawberry banana ice cream.
      ::输入正确数量的草莓杯 以做偶数的草莓香蕉冰淇淋
    • Don't round your answers, type them as fractions of the form: N/D.
      ::不要环绕你的答案, 键入表格的分数 : N/D 。
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    How many teeth do sharks have?
    ::鲨鱼有多少颗牙齿?

    lesson content
    Shark's Teeth

     

    You can count the number of teeth in a sharks mouth using series and rows. Series are the numbers of layers and the row is the number of teeth in each layer.
    ::您可以使用序列和行数来计算鲨鱼嘴中的牙齿数量。 串数是层数, 行数是每个层的牙齿数量。

    Use the interactive below to compare the unit rates of the number of shark teeth per series. Think about how can this rate tell you which shark has the most teeth in each series.
    ::使用下面的交互数据来比较每系列鲨鱼牙齿数的单位比率。 想想这个比率如何能告诉你哪类鲨鱼的牙齿在每一系列中最多。

     

    INTERACTIVE
    Shark Teeth
    minimize icon
    • Click on each shark to view its name and how many teeth it has.

      ::点击每只鲨鱼来查看它的名字和它有多少牙齿。
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    Discussion Question
    ::讨论问题

    Use the unit rates to order the sharks from greatest number of teeth to least number of teeth.  Did you need to find the unit rate to order the sharks? If not, think of an example of when you would need to find the unit rate to compare numbers of shark teeth.
    ::使用单位比率将鲨鱼的牙齿数量从最大数量订为最少数量。 您需要找到单位比率来订购鲨鱼吗? 如果不是, 请举例说明何时需要找到单位比率来比较鲨鱼牙齿的数量。

      

       Summary
    ::摘要

    • A unit rate is the amount of one quantity for every 1 unit of another quantity. 
      ::A单位费率是每1个单位的1个数量,再1个单位的1个数量。
    • A unit rate can also be thought of as a rate with a one in the denominator. 
      ::单位率也可视为分母中有一个的单位率。
    • Divide the numerator of a fraction by the denominator to find the unit rate.
      ::将一个分数的分子除以分母以找到单位速率。