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  • 添加和减减带有图表的十进制

    How can you do math with blocks?
    ::你怎么用砖块算数学?

    lesson content
    Hundreds, tens, and ones

    Imagine that the big square  blocks each represent 100, the rectangle blocks each represent 10 and the small square blocks each represent 1.
    ::想象一下,大方块每个代表100个,矩形块每个代表10个,小方块每个代表1个。

    In the interactive below, try building numbers like 1110, 111, 999 and 1000 by adding or subtracting blocks of different values.  Throughout this lesson, you will use blocks like this to .
    ::在下文互动的段落中,通过添加或减去不同值的块块来尝试1110、111、999和1000这样的构建数字。在整个课程中,您将使用这样的块块来 。

     

    INTERACTIVE
    Base Ten Blocks
    minimize icon

    Each big, square block counts as 100.
    Each long block counts as 10.
    Each small, square block counts as 1.


    ::每个大区块计为100,每个长区块计为10,每个小区块计为1,每个小区块计为1。

    • Move the red points to change the number of hundreds, tens, and ones blocks.
      ::移动红点以改变数百个、数十个和1个区块的数目。
    • Observe how the changing values affects the total.
      ::观察变化中的数值如何影响总量。
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    How can you make decimals with blocks?
    ::你如何用区块做小数?

    lesson content
    Tenths, hundredths, and thousandths

    Try to imagine what 0.001 looks like.  Decimal values often get harder and harder to imagine the smaller they get. How can  you add or subtract decimal values?
    ::试想0.001的外观。 十进制值往往越来越难想象越小。 您如何添加或减去十进制值 ?

    Using the interactive below, add or subtract the different blocks to help you visualize how decimal values can be added or subtracted. 
    ::使用下面的交互式数据,添加或减去不同的区块,帮助您直观地了解如何增加或减去小数点值。

     

    INTERACTIVE
    Base Ten Blocks with Decimals
    minimize icon

    Each big, square block counts as 0.1.
    Each long block counts as 0.01.
    Each small, square block counts as 0.001.

    ::每个大区块计为0.1. 每个长区块计为0.01. 每个小区块计为0.001

    • Move the red points to change the number of tenths, hundredths, and thousandths blocks.
      ::移动红点以改变十、一百和一千个区块的数目。
    • Observe how the changing values affects the total.
      ::观察变化中的数值如何影响总量。
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    How can you add decimals with blocks?
    ::您如何用区块添加小数 ?

    lesson content
    Adding Decimals

    Use the blocks in this interactive to model decimal addition and answer the following questions below.
    ::在此互动中使用区块来模拟小数点添加,并回答以下问题。

     

    INTERACTIVE
    Adding Decimals with Blocks
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    • Drag the blocks to add together decimals.
      ::拖曳区块以将小数点组合起来。
    • Click the blocks to subtract decimals.
      ::单击各个区块以减小数。
    • Press the reset button to clear the blocks from the screen.
      ::按重设按钮清除屏幕上的块 。
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    How can you subtract decimals with blocks?
    ::您如何用区块来减小数 ?

    lesson content
    Subtracting Decimals

    Use the blocks in the interactive to model decimal subtraction and answer the following questions.
    ::使用互动区块来模拟小数减法,并回答下列问题。

    Discussion Questions
    ::讨论问题 讨论问题

    1. Find  the difference of 0.021 and 0.019 by starting with two rectangles and one small block. How can you take away 9 small squares with only 1 small square available?
      ::从两个矩形和一个小块块开始,找到 0.021 和 0.019 的差数。 您如何可以将仅有一个小方块的 9 个小方块移走 ?
    2. F ind the difference of 0.401 and 0.002. What blocks do you have to substitute to perform the subtraction?
      ::查找0.401和0.002的差数。 要执行减法, 您需要替换哪些区块 ?

     

    INTERACTIVE
    Adding Decimals with Blocks
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    • Drag the blocks to add together decimals.
      ::拖曳区块以将小数点组合起来。
    • Click the blocks to subtract decimals.
      ::单击各个区块以减小数。
    • Press the reset button to clear the blocks from the screen.
      ::按重设按钮清除屏幕上的块 。
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    Discussion Question
    ::讨论问题

    How many of each type of block would you use to model the following differences with the fewest blocks possible?
    ::您将使用多少个每类区块来模拟与尽可能少的区块的下列差异?

    • 0.8 - 0.7
    • 0.05 - 0.01
    • 0.007 - 0.002
    • 0.999 - 0.121
    • 0.992 - 0.003

     

    How much money is left after a roller coaster ride?
    ::乘过山车之后还剩下多少钱?

    lesson content
    Roller Coaster

    Kristy has 83¢ in her pocket when she walks into the amusement park. She spends  a quarter on a game at the arcade before getting in line for the roller coaster. While in line,  Kristy  finds  39¢  on the ground and puts it in her pocket. On the roller coaster ride, a dime falls out of her pocket.
    ::Kristy走进游乐场时口袋里有83英寸。她花四分之一的时间在游乐场上玩游戏,然后排在过山车的排队上。在排队时,Kristy在地面上发现了39英寸,然后把它放在口袋里。在游乐场上,一毛钱从她的口袋里掉出来。

    Use the interactive below to add and subtract decimal values and figure out how much money Kristy has after the ride.  
    ::使用下面的交互数据来添加和减去小数点的数值,并找出Kristy搭车后有多少钱。

     

    INTERACTIVE
    Adding Decimals with Blocks
    minimize icon
    • Drag the blocks to add together decimals.
      ::拖曳区块以将小数点组合起来。
    • Click the blocks to subtract decimals.
      ::单击各个区块以减小数。
    • Press the reset button to clear the blocks from the screen.
      ::按重设按钮清除屏幕上的块 。
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      Summary
    • Base ten blocks can be used to represent decimals: the tenths place, hundredths place, and thousandths place.
      ::十块基数可用于表示小数:十分位数、百位数和千位数。