章节大纲

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  • 积极与消极

    Sea Level
    ::海平面海平面

    Madelyn is a scientist studying animal populations and their natural habitat’s distance from sea level. In the interactive below, use the vertical number line to drag the red points to the height you think the animals live. Notice how positive and negative numbers can describe heights above and below sea level.
    ::马德林(Madelyn)是一个研究动物种群及其自然栖息地与海平面距离的科学家。 在下文的互动中,使用垂直数字线将红色点拖到你认为动物所生活的高度。 注意正负数字可以如何描述海平面以上和以下的高度。

     

    INTERACTIVE
    Sea Level
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    • Drag the red point next to the animal specified in the table to its correct location relative to sea level.
      ::将表格中指定的动物旁边的红色点拖到相对于海平面的正确位置。
    • Note: distances are not to scale.
      ::注:距离不缩放。
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    1.

    What was different about where you placed the sea animals compared to the birds and butterfly?
    ::与鸟和蝴蝶相比 你把海洋动物放在哪里有什么不同?

    a

    All of the sea animals were above sea level. All of the birds and the butterfly were below sea level.
    ::所有海洋动物都高于海平面,所有鸟类和蝴蝶都低于海平面。

    b

    All of the birds and butterfly were closer to sea level.
    ::所有鸟和蝴蝶都靠近海平面

    c

    All of the sea animals were below sea level. All of the birds and the butterfly were above sea level.
    ::所有海洋动物都低于海平面,所有鸟类和蝴蝶都高于海平面。

    d

    All of the sea animals were closer to sea level.
    ::所有海洋动物都接近海平面。

     

     

    Out in the Cold
    ::在寒冷中

    In many real-world situations, like the scenario above, we need to measure the distance of an object from a reference point in two different directions. This distance can be expressed using integers. Integers are the positive or negative whole numbers including zero .
    ::在许多现实世界中,像上述情景一样,我们需要用两个不同的方向测量一个对象与参考点的距离。这种距离可以用整数表示。整数是正数或负数,包括零。

    Integers → {… -3, -2, -1, 0, 1, 2, 3, …}
    ::整数{{{... 3, -2, -1,0,1,2,3,3}

    In this next interactive, you will practice finding where positive and negative numbers belong on a vertical number line by matching the thermometer level with a given temperature number for January, May, August, and December.
    ::在下一次互动中,您将练习在1月、5月、8月和12月将温度计水平与给定温度数相匹配,从而在垂直数字线上找到正数和负数。

     

    INTERACTIVE
    Out in the Cold
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    • Drag the red point on the slider to change the temperature.
      ::拖动滑块上的红色点以改变温度。
    • Find the given temperature for each month.
      ::查找每个月的给定温度 。
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    Discussion Question
    ::讨论问题

    Why do we use negative numbers when working with temperature?
    ::为什么我们用负数做温度工作?

     

    The Stock Market
    ::股票市场

    There are many examples where the increase or decrease of a value  is important. We see this in the stock market, in temperatures, in profits, and many real more real-world examples.  Examine the value of the stocks below.
    ::有许多例子表明价值的增减很重要,我们从股票市场、温度、利润和许多真实的更真实的事例中看到这一点。

     

    Company Day 1 Stock Price Day 2 Stock Price
    Pear Phone 165.25 166.57
    Boe-Wing 387.72 384.54
    Mac n' Toss 81.28 80.34
    cK-Mart 94.80 92.05
    Mouse INC 110.13 112.21

    Use the interactive to answer questions about the table above.
    ::使用交互方式回答有关上表的问题。

     

     

     

     

    Making a Robot
    ::制造机器人

    You need to build and program a robot for the school science fair. The robot will need to be able to move through a maze in as few steps as possible. Before we program the robot to move through the maze, first let's program our robot to move forward and backward. Engineers describe the position of a robot relative to the starting position. 
    ::您需要为学校科学博览会建立和编程机器人。 机器人需要能够在尽可能短的几步内穿过迷宫。 在我们编程机器人穿过迷宫之前, 首先让我们编程我们的机器人向前和向后移动。 工程师描述机器人相对于起始位置的位置的位置 。

    In the interactive below, you will move a robot up and down the path by clicking buttons and use positive and negative numbers to describe its movement.
    ::在下面的互动中,您会单击按钮,将机器人上上下移动,使用正数和负数来描述其运动。

     

    INTERACTIVE
    Making a Robot
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    • Click the buttons to move the robot forward, backward, or randomly.
      ::单击按钮将机器人向前、向后或随机移动。
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    Discussion Questions
    ::讨论问题 讨论问题

    1. Press the “Random Movement” button. How can we use numbers to identify the position of the robot?
    ::1. 按下“兰多运动”按钮:我们如何用数字来识别机器人的位置?

    2. Press the “Random Movement” button three times. What position is the robot in relative to the start?
    ::2. 按三次 " 兰多运动 " 按钮。机器人相对于启动的位置是什么?

    3. To move the robot, you will use one command: steps否. You will enter a number between the parentheses, and the robot will move that number of steps. What numbers could you put into this command and how should they affect the robot?
    ::3. 要移动机器人,您将使用一个命令:步骤否。您将在括号之间输入一个数字,而机器人将移动这个数目。您可以将多少数字放入此命令,以及它们应如何影响机器人?

      Summary
    • All negative numbers are less than 0. (Meaning they are also smaller than positive numbers)
      ::所有负数都低于0。 (其负数也小于正数)
    • If a positive number and a negative number are opposites they are the same distance away from 0.
      ::如果正数和负数正好相反,则与0的距离相同。
    • When comparing two negative numbers, find the distance the number is away from 0. The number that is the smallest distance from zero is greater.
      ::比较两个负数时, 找到数字距离 0 的距离。 最小距离为 0 的距离更大 。