章节大纲

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  • Part-Part-整体比率图片

    How can you mix the color brown with paints?
    ::你怎么能把棕色和油漆混在一起?

    Think about how many cups of each paint color you mix  compared  to the total number of cups of brown paint.  In this lesson, you will be working with ratios that include the total amount of something. For example, part  :  total.
    ::想想您混合的每个彩色杯子与棕色彩色杯子总数相比有多少。 在这一课中, 您将使用包含某些东西总数量的比率。 例如, 部分 : 总计 。

    In this interactive, you will mix different ratios of red, yellow, and blue paint to visualize ratios between parts and the whole.
    ::在此互动中,您将混合红色、黄色和蓝色涂料的不同比例,以可视化部分和整个部分之间的比例。

    INTERACTIVE
    Mix the Paint
    minimize icon
    • Click on the colors to pour the paint into the cup.
      ::点击颜色将油漆倒入杯中。
    • You can mix 12 colors.
      ::你可以混合12种颜色
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    1.

    Select the red:yellow:blue ratios that would fill the cup completely (select all possible)
    ::选择红:黄:蓝色比率,以完全填满杯子(尽可能选择)

    Select all that apply
    a

    10:1:1

    b

    4:4:4

    c

    4:5:3

    d

    4:5:2

    e

    1:6:4

    f

    1:6:5

    Can you build these shapes?
    ::你能制造这些形状吗?

    For this interactive, use the green and purple shapes to fill in the outlines. Compare how many shapes you used and how many of each color there are by writing ratios between them. 
    ::对于此互动, 请使用绿色和紫色的形状填充轮廓 。 比较您使用的形状和每个颜色的颜色, 比较它们之间的写法比例 。

    INTERACTIVE
    Building Shapes
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    • Drag the colored shapes to fill the gray outline.
      ::拖曳彩色形状以填充灰色轮廓。
    • Click the shapes to flip them horizontally.
      ::单击形状以水平翻转它们 。
    • After the outline is filled, answer the questions about ratios.
      ::大纲完成后,回答有关比率的问题。
    • Once correct, use the "Previous" and "Next" buttons to complete other outlines.
      ::一旦正确, 请使用“ 前一” 和“ 下一” 按钮完成其它轮廓 。
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    Discussion Questions
    ::讨论问题 讨论问题

    1. Try making ratios between the number of blocks in one color to the total number of blocks.
      ::尝试在以一个颜色显示的区块数与区块总数之间做出比例。
    2. How many ratios can you build with two different colors of blocks? Don't forget to  include , too!
      ::你用两种不同的区块颜色能建立多少比例?
    3. In ratios, the amounts of each item are often called the "parts" and the total amount of all the parts is called the "whole."  How many parts of each color did you use to make the whole?  What number would you use to represent the whole?
      ::按比率计算,每个物品的量通常被称为“部分”,所有部件的总量都被称为“整体 ” 。 您用每种颜色的多少部分来得出整体? 您用什么数字来代表整个 ?

    How to shelve the sneakers?
    ::如何把运动鞋套住?

    A store tracks the numbers of sneakers purchased by men and women. The store stocks the back room with more sneakers based on the ratios found in the sales of men's sneakers and women's sneakers.
    ::一家商店记录了男女购买运动鞋的数量,根据男子运动鞋和女子运动鞋销售比率,商店在后房储存了更多的运动鞋。

    INTERACTIVE
    Shelving Sneakers
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    • Drag the red and blue points to place boxes of men's and women's sneakers on the shelves to match the ratio given.
      ::拖曳红色和蓝色的点,将男女运动鞋箱放在架子上,以符合给定的比率。
    • Click the white button to check your work.
      ::单击白色按钮检查您的工作 。
    • Resetting the interactive gives different ratios to practice. 
      ::重设互动关系时,做法的比例不同。
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    How many marshmallow pieces?
    ::有多少棉花糖碎片?

    A mini-box of Yummy Charms cereal has oat pieces and five kinds of marshmallow pieces: balloons, stars, flowers, comets and hearts.
    ::一颗迷你果实麦片有燕麦片和五种棉花糖片:气球、星星、花朵、彗星和心脏。

    In this interactive, practice making ratios between the number of marshmallow pieces in a cereal and the oat pieces.
    ::在这种互动中,做法是将谷类棉花糖片的数量与燕麦片的数量作成比例。

    INTERACTIVE
    Marshmallow Cereal
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    • Press the button to separate the marshmallow pieces from the oats and use the numbers to make ratios.
      ::按下按钮,将棉花糖块与燕麦分开,用数字来做出比率。
    • Reset the interactive to get different numbers.
      ::重置交互程序以获得不同的数字 。
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       Summary
    ::摘要

    • Use ratios to show the relationship between a part and the whole, P art  :  Whole.
      ::显示一个部分与整个部分之间关系的使用比率, 部分: 整体。
    • T he amounts of each item are called the parts .
      ::每个物品的金额都称为部件。
    • The total amount of all the parts is called the whole.
      ::所有部件的总数都称为整体。

    Review Questions
    ::回顾问题

    What would the ratio 3 cups or red to 4 cups of yellowlook like written as a part:part:total ratio?
    ::3个杯子或红色至4个黄色杯子的比例是多少? 部分:总比例?

    Can you make a ratio of 4 green blocks to 5 purple blocks with exactly 50 blocks? Why or why not?
    ::4个绿区对5个紫区对5个紫区对50个区对齐,为什么不行?

    If the ratio of women's sneakers sold to total sneakers sold is 2:7 what would the ratio of women's sneakers sold to men's sneakers sold be assuming all shoes that weren't purchased by women were purchased by men?
    ::如果妇女运动鞋与全部运动鞋的售价比率是2:7,那么,如果假定所有不是妇女买来的鞋都是由男子买来的,那么,妇女运动鞋与男子运动鞋的售价比率是多少?

    True or False: In a ratio, the whole is always the sum of the parts. Explain your answer.
    ::真理或假的:在比例上,整数总是各部分的总和。请解释您的答复。