章节大纲

  • How many questions were on the quiz?
    ::测验上有几个问题?

    Use the interactive below to find the total number of questions on a quiz. Throughout the lesson, you will solve problems where you need to find a whole, given a part and percent. 
    ::使用下面的交互效果来在测验中查找问题总数。 在整个课程中, 您将解决您需要找到一个完整的问题, 给一个部分和百分比 。

     

    INTERACTIVE
    Problem Solving With Percents
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    • Move the blue point to change the overall percent scored.
      ::移动蓝色点以改变总得分百分比。
    • Move the red point to change then number of questions that are incorrect.
      ::将红色点移到更改错误的问题数。
    • The test is divided into equal parts with the same number of questions in each part.
      ::试验分为相等部分,每一部分的问题数相同。
    • Input the total number of questions in the test.
      ::输入测试中的问题总数。
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    1.

    You scored a 75% on a test, and you got 5 questions wrong. What are some ways to find the total number of questions on the test? (Select all possible.)
    ::您在测试中得75%的分数, 您有五个问题错误 。 有什么方法可以找到测试中的问题总数 ? (选择所有可能的 。)

    Select all that apply
    a

    Multiply @$\begin{align*}5\end{align*}@$  by @$\begin{align*}4,\end{align*}@$  because @$\begin{align*}25\end{align*}@$ % @$\begin{align*}\times 4\end{align*}@$  is @$\begin{align*}100\end{align*}@$  %.
    ::乘号@ $\ begin{ ALIGN} 5\ end{ ALIGN} $ @ $\ begin{ ALIGN} 4,\ end{ ALIGN} 4,\ end} $ 因为 @ $\ begin{ ALIGN} 25\ end{ ALIGN} $% @ $ @ $\ begin{ ALIGN} 4\ end{ ALIGN} $ @ $@ $\ begin} 4\ end{ ALIGN} $ @ $ @ $% @ $\ begin{ legin{ legn} 4\ end{ leign} 4\ end{ legN$ @ $ @ $%

    b

    Multiply @$\begin{align*}5\end{align*}@$  by @$\begin{align*}0.25,\end{align*}@$   because @$\begin{align*}5 \times 0.25\end{align*}@$  is @$\begin{align*}1.\end{align*}@$  
    ::乘号@ $\ begin{ align\\\ 5\ end{ end{ leign\ $ by @ $\ begin{ align\\ 0.25,\ end{ align\ $ 因为 @ $\ begin{ align\ 5\ times 0.25\ end{ leign\ $ 是 @ $\ begin{ align\\\ 1.\ end{ align\ $ @ $

    c

    Divide @$\begin{align*}5\end{align*}@$  by @$\begin{align*}0.75,\end{align*}@$  because @$\begin{align*}5 \div 0.75\end{align*}@$  is @$\begin{align*}75\end{align*}@$  % of @$\begin{align*}100.\end{align*}@$  
    ::$\ begin{ align\\ 5\ end{ led{ leign} $ @ $\ begin{ align\\ 0. 0. 75\ end{ align} $ 的%% @ $\ begin{ align\ 0. 100.\ end{ align} $ @ $\ begin} $@ begin} 0. 0. 75\ end{ leign} $ 的% @ $\ begin{ ALign\ 100.\ endalign} $

    d

    Divide @$\begin{align*}5\end{align*}@$  by @$\begin{align*}0.25,\end{align*}@$  because @$\begin{align*}5 \div 0.25\end{align*}@$  is @$\begin{align*}20.\end{align*}@$  
    ::$\ begin{ align\\ 5\ end{ end} ALign} $ @ $\ begin{ align\ 0.25,\ end{ align\ $ 因为 @ $\ begin{ align\ 5\ \ div 0.25\ end{ align\ $ 是 @ $\ begin{ align\ 20.\ end{ align\ $ @ end{ laign\ $

     

     

    How many pages in a digital book?
    ::数字书里有多少页?

    lesson content
    Digital Book

    Katharina's digital book displays the page number and the percentage of  each   e-book  that she has read. She is curious how many pages are in each of the e-books that she is reading.
    ::Katharina的数字书展示了页码以及她所阅读的每本电子书的百分比。 她很想知道她正在阅读的电子书中的每本电子书有多少页。

    Given the percentage and number of pages Katharina has read in each book, use the interactive below to find the part and the total amount of pages in each book
    ::鉴于Katharina在每本书中读到的页数和百分比,使用下文互动来查找每本书中的部分和总页数

     

    INTERACTIVE
    Digital Books
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    • Click the books to access information about how much of it has been read.
      ::点击这些书籍以获取关于其中有多少被读到的信息。
    • Calculate the number of pages in  @$1\%@$  and  @$100\%@$  of the book rounded to the nearest hundredth using the information given.
      ::使用所提供的信息,计算以@ 1$和@ 100$四舍五入到最接近的百分百页的页数。
    • A book will turn green once its information is complete. Complete the information for all of the books!
      ::一旦信息完成, 一本书就会变成绿色 。 完成所有书的信息 !
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    CK-12 PLIX Interactive: Bag of Candy
    ::CK-12 PLIX 互动:糖果袋

    In this PLIX Interactive, you can change the percentages of four different types of candy in a bag. As candy is added to the bag or eaten, you can explore how the percentages for each type of candy changes.
    ::在 PLIX 互动中, 您可以改变袋中四种不同类型糖果的百分比。 随着糖果被添加到袋中或被吃掉, 您可以探索每种糖果的百分比是如何变化的 。

     

     

     

    How  can a record company predict the next big hit?
    ::唱片公司如何预测下一个大爆炸?

    lesson content
    Singer and band

    Before a record company sells an album, they want to make sure that people will actually buy it. So, they  play the music to a small group of people to get their impression. This is called user testing.
    ::在唱片公司出售专辑之前,他们想确保人们会买下专辑。因此,他们向一小撮人播放音乐,以获得他们的印象。这叫做用户测试。

    A record company, Sonyc, plays new songs for a small group of people. Based on the number of people in the small group that like the song, how many people in an audience at a concert are likely to enjoy the song?
    ::唱片公司索尼茨(Sonyc)为一小群人播放新歌。 根据小群人中喜欢这首歌的人数,在音乐会的观众中有多少人会喜欢这首歌?

    In the interactive below, find the percent of people that like the song and vice versa given the number of people that like the song and vice versa.
    ::在下文互动中,找到喜欢这首歌的人的百分比,反之亦然,因为喜欢这首歌的人很多,反之亦然。

     

    INTERACTIVE
    The Next Big Hit
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    • Use the boxes to fill out information about how many people like a song.
      ::用盒子填充关于多少人喜欢一首歌的信息。
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    How much did it originally cost?
    ::最初要花多少钱?

    lesson content
    T-Shirts

    Jeffry goes shopping for T-shirts during a big sale. He sees the discounted prices and the big signs advertising the percent discounts. Use the interactive below to find the original costs of the shirts given the discounted prices and percentages.
    ::Jeffry在一次大买卖期间买T恤衫。他看到折扣价格和大牌子广告贴现百分率折扣。他用下面的交互方式来寻找根据折扣价格和百分率计算的衬衫的原始成本。

     

    INTERACTIVE
    Shirt Sale
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    • Using the information given, enter the percent paid for a shirt and its original price in the white box.
      ::使用所提供的信息,在白箱中输入一件衬衫的付款百分比及其原始价格。
    • When entered correctly, a white button will appear for you to try more percentages.
      ::当正确输入时, 您将出现一个白按钮以尝试更多百分比 。
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    CK-12 PLIX Interactive: Save Money with Coupons!
    ::CK-12 PLIX 互动: 以奖金节省钱!

    Use this PLIX Interactive to explore how to use percents to save money with coupons.  The last two questions include equations for using percents.
    ::使用此 PLIX 互动来探索如何使用百分比来用优惠券节省钱。 最后两个问题包括使用百分比的方程式 。

     

     

       Summary
    ::摘要

    For part-whole-percentage problems:
    ::对于半百分率问题:

    • To calculate  a percentage divide the  part by the total.
      ::计算一个百分比,将部分除以总数。
    • T o calculate the part divide by 100 and multiply by the percentage.
      ::部分除以 100 乘以百分比。