Section outline

  • General

    Collapse all Expand all

  • 缩缩缩矩形

    How do artists paint large murals?
    ::艺术家怎么画大壁画?

    lesson content
    Huge mural of a whale

    Artists who paint large murals often start with a small picture covered with a grid. They draw a large grid on the wall and paint the big mural inside of the grid. That way, they can make sure that everything in the mural looks the way they want it to.
    ::画大壁画的艺术家通常从一个小图画开始,上面盖着一个网格。他们在墙上画了一个大网格,并在网格内画了大壁画。 这样,他们就可以确保壁画中的一切都符合他们的意愿。

    In this interactive the mural is  2 2 3  times the size of the small picture. Later in this lesson, you will see how you can use division to solve ratios that describe the relationship between two proportional shapes.
    ::在此互动的壁画中, 壁画是小图的223倍。 在此课后, 您将看到您如何使用分割来解析比例, 描述两个比例形状之间的关系 。

     

    INTERACTIVE
    Pyramids Mural
    minimize icon
    • Move the red dots to match the mural with the small picture. 
      ::移动红色点以匹配壁画和小图片 。
    Your device seems to be offline.
    Please check your internet connection and try again.
    +
    Do you want to reset the PLIX?
    Yes
    No

     

     An artist wants to paint a wall that is 1.8 high and 2.4 meters long. She uses equivalent ratios to make a small version of the picture. Fill in the table in the interactive below by using the mural in the previous interactive and ratios to find the missing lengths.
    ::艺术家想要画一堵1.8高和2.4米长的墙。 她用等值比例来做一个小版的图片。 在下面的交互式表格中填满, 使用上一个互动和比例的壁画来找到缺失的长度 。

     

    INTERACTIVE
    Pyramid Table
    minimize icon
    • Use the information given to find the ratio of the small picture to the big mural.
      ::使用所提供的信息查找小幅图与大壁画的比例。
    • Then use that to fill in the table.
      ::然后用它填满桌子
    Your device seems to be offline.
    Please check your internet connection and try again.
    +
    Do you want to reset the PLIX?
    Yes
    No

     

     

     

     

    How many divisions in the treasure map?
    ::藏宝图上有多少师?

    lesson content
    Treasure Map

    Pirate Captain Jim Hawkins   designs a treasure map  and draws out a 1 mile by 1 mile map of an island. He divides his map into smaller squares to make it easier to read.
    ::海盗船长Jim Hawkins设计了一张宝藏地图,绘制了一英里一英里一英里一英里一英里的岛屿地图。他将其地图分割成较小的方形,以便于阅读。

    Use this interactive to solve an area problem by dividing the square map into smaller squares with a fraction side length .
    ::使用此互动方式解决区域问题, 将平方图分割成小方块, 边长为小方块 。

     

    INTERACTIVE
    Treasure Map
    minimize icon

    Change the scale and then press where you want the  x  to be located.
    ::更改缩放比例,然后按您想要 x 的位置。

    Your device seems to be offline.
    Please check your internet connection and try again.
    +
    Do you want to reset the PLIX?
    Yes
    No

     

     

     

     

    How much bigger is an IMAX screen?
    ::IMAX屏幕有多大?

    lesson content
    IMAX movie screen

    IMAX movie theaters show high-resolution movies on a larger than normal screen. Sidney is not convinced that the IMAX theater shows movies that much bigger than her local movie theater. 
    ::IMAX电影院在比普通屏幕更大的屏幕上放映高分辨率电影。 Sidney不相信IMAX电影院放映的电影比当地电影院大得多。

    In this interactive, you will compare the screen sizes by dividing their areas. What does the resulting proportion tell you about which screen is larger?
    ::在此互动中, 您将会通过分割屏幕区域来比较屏幕大小。 由此产生的比例告诉您哪个屏幕更大 ?

     

    INTERACTIVE
    Different Screens
    minimize icon

    The top image is the IMAX screen, where as the bottom image is the normal screen.
    ::顶部图像是 IMAX 屏幕, 底部图像是普通屏幕 。

    • Press the different screens to see their areas and press both to see the division of area.
      ::按下不同的屏幕查看其区域, 按下两个屏幕查看区域划分 。
    • Drag the IMAX screen on top of the normal screen to see the division of heights.
      ::在普通屏幕上拖动 IMAX 屏幕以查看高度的划分 。

    What is the length of the middle bold line?
    ::中粗线的长度是多少?

    Your device seems to be offline.
    Please check your internet connection and try again.
    +
    Do you want to reset the PLIX?
    Yes
    No

     

     

     

    Discussion Question
    ::讨论问题

    The largest IMAX theater in the world is in Melbourne, Australia. It is 105 feet by 75 feet. Compare the area of the largest IMAX screen with the standard IMAX screen and the "local movie theater" screen from the example.
    ::世界上最大的IMAX剧院位于澳大利亚墨尔本,是105英尺乘75英尺的。与最大的IMAX屏幕面积和标准的IMAX屏幕和例子中的“本地电影院”屏幕相比,它是最大的IMAX屏幕面积的105英尺乘75英尺。

     

    How does printing a  photo in landscape compare to portrait?
    ::在景观中打印照片如何与肖像相比?

    lesson content
    Photo Printer

    Karmen prints out a photo to put on the cover of her binder. She realized she printed the photo in the wrong direction and tries again. The first  time, she  printed in landscape. The second time, she printed in portrait. 
    ::Karmen打印了一张照片,贴在她的装束封面上。 她意识到她印了照片方向错误,再次尝试。 第一次,她印了地貌。 第二次,她印了肖像。

    Use division of fractions to compare the areas of the pictures in the following interactive and find the ratio between them.
    ::使用分数分割来比较以下互动中的图片区域, 并找到它们之间的比例 。

     

    INTERACTIVE
    Printing Photos
    minimize icon

    Press the orient button to see how the image dimensions change.
    ::按东方按钮查看图像尺寸的变化 。

    Your device seems to be offline.
    Please check your internet connection and try again.
    +
    Do you want to reset the PLIX?
    Yes
    No

     

     

     

       Summary
    ::摘要

    • A scale factor can be found by dividing  a dimension of a  scaled image by corresponding dimension of the original image
      ::通过将缩放图像的尺寸除以原始图像的相应尺寸,可以找到一个比例系数