Section outline

  • Positive and Negative Numbers in Physics
    ::物理中的正数和负数

    In physics, negative numbers are used to identify direction, as seen when programming robots in the lesson .  Negative numbers are also used to measure movement and force.
    ::在物理学中,负数被用来确定方向,从编程机器人的教训中可以看出。 负数也用来衡量运动和力量。

    Use the interactive below to see how integers can be used to describe distance when navigating a toy car through a maze.
    ::使用下面的交互功能来查看如何使用整数来描述玩具汽车在迷宫中航行时的距离。

     

    INTERACTIVE
    Toy Car Maze
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    Direct your toy car through the maze.
    ::直接把你的玩具车穿过迷宫

    • Drag the red point to set how you want the car to move. You can choose three movements in order.
      ::拖曳红色点以设定您想要的汽车移动方式。 您可以按顺序选择三次移动 。
    • Click the "Enter" button to execute the movement.
      ::单击“ Enter” 按钮执行运动。
    • Collect the diamonds to open the red door at the top right of the map.
      ::收集方块打开地图右上方的红门。
    • Use the arrows to see how far you have moved vertically and horizontally.
      ::使用箭头来查看您垂直和水平移动了多远 。
    • If you run into the walls, click the "Try again" button to restart.
      ::如果您碰到墙壁,请单击“再次尝试”按钮重新启动。
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    Discussion Questions:
    ::讨论问题:

    1. Which movement would take you farther left, a vertical movement of -2 or a vertical movement of +2?
      ::哪个移动会更远的左转, 垂直移动 -2 或垂直移动+2 ?
    2. If you went 2 units vertically and then -2 units vertically where would you end up?
      ::如果你垂直走两单位,然后垂直走两单位 你会到哪里去?
    3. If you went -5 units horizontally and then 5 units horizontally, where would you end up?
      ::如果你去 - 5个单位水平和5个单位水平, 你会到哪里去?
    4. If you went 3 units vertically and then -2 units vertically where would you end up?
      ::如果你垂直走3个单位 然后垂直走2个单位 你会到哪里去?
    5. If you went -4 units horizontally and then 2 units horizontally where would you end up?
      ::如果你水平上去了 -4个单位 然后水平上去了2个单位 你会到哪里去?

     

    Rational Number Line
    ::合理数字行

    Use the interactive below to review ordering on a number line .
    ::使用下面的交互效果来审查数字行的顺序。

     

    INTERACTIVE
    Rational Number Line
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    • Drag the red points to where they belong on the number line. 
      ::拖曳红色点到数字线上属于它们的位置。
    • Press the button to check your work.
      ::按下按钮检查您的工作 。
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    Example
    ::示例示例示例示例

    Compare the numbers 16.345 and 16.178.
    ::比较数字16.345和16.178。

    To compare 16.345 and 16.178, start with the tens place. Both numbers have a 1 so move to the ones place. Both numbers have a 6 so move to the tenths place. Since 3 is greater than 1, 16.345 is greater than 16.178.
    ::比较16.345和16.178,从10个开始,两个数字都有1个到1个,两个数字都有6个到10个,因为3个大于1个,16.345个大于16.178个。

    16. 3 _ 45 > 16. 1 _ 78

    In the interactive below, compare the positions of numbers on a number line based on inequality statements.
    ::在下文互动部分,根据不平等声明对数字线上的数字位置进行比较。

     

    INTERACTIVE
    Comparing Rational Numbers Using an Inequality
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    • Choose the correct number based on the prompt.
      ::根据提示选择正确的数字 。
    • Click next for the next problem.
      ::单击下一个问题 。
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    Stock Market
    ::股票市场

    In ,  absolute  value  was used to  compare changes in stock prices. However, what if  you wanted to order those changes to find the best or worst performing stocks?
    ::绝对值被用来比较股票价格的变化,但是,如果你想命令这些变化找到业绩最佳或最差的股票呢?

    For this interactive, compare decimals by ordering the stock price changes from best performing to worst performing.
    ::对于这种互动,比较小数点,将股票价格变化从业绩最佳到表现最差的顺序排序为小数点。

     

    INTERACTIVE
    Order Your Stocks Pt 2
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    • Order the stocks top to bottom from greatest to least.
      ::将股票从上到下排列为从最大到最小。
    • Press the "Check Button" to check your work!
      ::按“ 检查按钮” 检查您的工作 !
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    Tracking Beetles
    ::追踪甲虫

    lesson content
    Beetle

    Computer software can be used to measure the horizontal movements of a beetle. Use the interactive to order the number of movements returned by the program from least to greatest.
    ::计算机软件可用于测量甲虫的水平移动。 使用交互式软件将程序返回的移动数量从最小到最大排序 。

     

    INTERACTIVE
    Order the numbers from Least to Greatest
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    • Drag the points across the line and order them from least to greatest!
      ::将点拖过线条, 并命令它们从最小到最大 !
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     Summary
    ::摘要

    • Positive and negative  numbers are used to identify direction of movement and force.
      ::使用正数和负数来确定行动方向和武力。
    • On a number line , the number farthest to the right  is the greater number.
      ::在数字线上,最接近右侧的数字是数字越多。
    • To compare rational numbers, use a common denominator or change all fractions and mixed numbers to decimals.
      ::为了比较合理数字,使用共同的分母或将所有分数和混合数字改为小数。