章节大纲

  • Who Wants to Be a Millionaire?
    ::谁想成为百万富翁?

    Each point along  a number line represent s the value of an object based on its distance from 0. Examine the scenarios below and think about how the distance from 0 impacts the value.
    ::数字行的每个点代表一个对象根据其与 0 的距离值。 检查下面的情景, 并思考与 0 的距离如何影响值 。

    • Is $1,000,000 a small amount of money or a large amount of money?
      ::一百万是一小笔钱还是一大笔钱?
    • Is $-1,000,000 a small amount of debt or a large amount of debt?
      ::1 000 000美元是一小笔债务还是一大笔债务?
    lesson content
    One Million Dollars

    Discussion Questions
    ::讨论问题 讨论问题

    1. How does the use of a negative affect the meaning of the numbers above?
      ::使用负数如何影响上述数字的含义?
    2. How does the distance from zero affect the meaning of the numbers above?
      ::与零的距离如何影响上述数字的含义?

     

    Sea Level Part 2
    ::海平面第2部分

    On a rational number line, the value of a number is determined by both the number’s distance from zero and by whether or not the number is negative. The context of the scenario will affect the meaning of these properties .
    ::在合理的数字线上,数字的值由数字与零的距离和数字是否为负数来决定。 假设情景的背景将影响这些属性的含义。

    Use the interactive below to label where different positive and negative numbers belong on a vertical number line. You will click the number line to zoom in and out and find the section each label belongs.
    ::使用下面的交互效果来标记垂直数字线上不同的正数和负数。您将单击数字线来缩放和显示每个标签所属的区块。

     

    INTERACTIVE
    Sea Level Part 2
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    Label the elevation of each city on the number line.
    ::在数字线上标出每个城市的高度

    • Click on a section of the number line to zoom in.
      ::点击要缩放的数字行的一节 。
    • Once zoomed in, click on the number line again to select a range. 
      ::缩放后, 单击数字行再次选择一个区域 。
    • Choose the label of the city you want to label at that elevation.
      ::选择要在该高地标签的城市的标签 。
    • Click "Submit" to check your answer. 
      ::点击“ 提交” 检查您的回答 。
    • Click "Zoom out" to go back to the original view.
      ::单击“ 缩小” 返回原始视图 。
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    Discussion Questions
    ::讨论问题 讨论问题

    1. Does that mean -72 is a small number?
      ::意思是72是小数吗?
    2. In the interactive above, which two locations are the same distance from sea level?
      ::在互动的上文中,两个地点与海平面的距离是相同的?

     

    IOU
    ::约 约 约

    Rob has a bank account with $300. Explore what happens every time he earns or spends some money. 
    ::Rob有一个有300美元的银行账户 探究每次他挣钱或花钱时会发生什么

    Use the following interactive to represent money earned and money spent as positive and negative numbers. Combine these numbers and plot the result on the vertical number line to show how much money Rob has in the bank.
    ::使用以下互动方式将赚得的金钱和花费的钱作为正数和负数来表示。 合并这些数字,在垂直数字线上绘制结果,以显示Rob在银行中有多少钱。

     

    INTERACTIVE
    IOU
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    • Rob starts off with $300 in his account.
      ::罗布的账户里有300美元
    • Check the different boxes to see how the income and expenses affect Rob's bank account.
      ::检查不同的方框,看看收入和支出如何影响Rob的银行账户。
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    Discussion Questions
    ::讨论问题 讨论问题

    1. What would Rob have to do, in real life, if he had $300 but had to pay $800 in rent?
      ::如果罗布有300美元,但必须支付800美元的租金,那么在现实生活中,他必须做什么呢?
    2. What happened when Rob had to pay rent, How did his bank account look?
      ::当罗布不得不付房租, 他的银行账户看起来怎么样?
    3. What does $0 represent in this case?
      ::在这种情况下,0美元代表什么?
    4. How can we use positives and negatives to describe how each of the buttons will affect Rob’s bank account? Which actions would be positive and which would be negative? Why?
      ::如何用正反两面来描述每个按钮会如何影响罗伯的银行账户? 哪些行动是正反的? 为什么?

     

    Making a Robot Part 2
    ::制作机器人第2部分

         In the lesson ,  you developed  a program to move a robot forward and backward:
    ::在教训中,你开发了一个程序 将机器人向前向后移动:

    • steps否 - This command will move the robot n steps forward, or n steps backward. The letter n is the number of steps entered by the user. The command steps(4) will move the robot 4 steps forward, and the command steps(-2) will move the robot 2 steps backward.
      ::步骤否 - 此命令会向前移动机器人 n 步或向后移动 n 步。 字母 n 是用户输入的步数。 命令步骤(4) 会向前移动机器人 4 步, 命令步骤( 2) 会向后移动机器人 2 步 。

    You  need to develop a command to identify the location of the robot relative to its starting position.
    ::您需要开发一个命令以确定机器人相对于其起始位置的位置 。

    In this interactive, you will choose how many steps the robot will take moving forward or backward and use positive and negative numbers to describe its movement.
    ::在此互动中, 您将选择机器人往前或向后走多少步, 并使用正数和负数来描述其运动 。

     

    INTERACTIVE
    Making a Robot pt 2
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    • Drag the slider to set a number of steps.
      ::拖动滑块以设置若干步骤。
    • Click the button to execute the command.
      ::单击按钮执行命令。
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    Discussion Questions
    ::讨论问题 讨论问题

    1. How can we use a number system to create a location() function and identify the position of the robot?
      ::我们如何使用数字系统来创建位置()函数和识别机器人的位置?
    2. If the robot took three steps backward from the starting position and then six steps forward what number would location() return?
      ::如果机器人从起始位置向后走三步 然后往前走六步 返回的位置是多少?
    3. If the robot took two steps forward from the starting position and then seven steps backward what number would location() return?
      ::如果机器人从起始位置向前走两步,然后向后走七步, 返回的位置()是多少?
      Summary
    • A rational number is any number that can be expressed as a ratio between two integers.
      ::合理数字是指以两个整数之比表示的任何数字。
    • The same value can be represented by different rational numbers. For example:  1 2 = 2 4  or  3 = 9 3  
      ::同样值可以用不同的理性数字表示。 例如: 12=24 或 3=93
    • 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)
    • 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.
      ::比较两个负数时发现数字距离为 0。 最小距离为 0 的数值更大 。