章节大纲

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  • 使用最大共同因素

    Can you plan a flower garden?
    ::你能计划花园吗?

    lesson content
    Flower Garden

    You can use factor pairs to represent the height and width of a flower garden. Multiply them together and you get the number of flowers. Use the interactive to see how many ways you can use factor pairs to make 10 flowers, 12 flowers or a square garden. Later in this lesson, you will learn about the  biggest factor shared by a pair of numbers, or .
    ::您可以使用因子配对来代表花园的高度和宽度。 将它们乘以, 您可以得到花朵的数量。 使用互动来查看您有多少种方法可以使用因子配对来制作 10 朵花、 12 朵花或广场花园。 在此课中, 稍后您将了解一对数字共享的最大因素 。

     

    INTERACTIVE
    Factor Pairs: Flower Garden
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    Marissa is planting flowers in a rectangular patch.
    ::玛丽莎在长方形草地上种花

    • Move the red points to change the number of flower plants.
      ::移动红点以改变花卉数量 。
    • Note that there are multiple different dimensions, or factor pairs, that yield exactly 10 plants, 12 plants, or a square garden.
      ::请注意,有多个不同的维度,或成因对, 产生完全10个植物,12个植物, 或一个广场花园。
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    What shapes can you make on a clock?
    ::时钟能做什么形状?

    Try making different stars and shapes using the interactive below. 
    ::尝试使用下面的交互效果来制造不同的恒星和形状 。

    A point starts at 12 at the top of the clock and then bounces around the clock until it gets back to the starting point.  The distance the point bounces each time is based on the number of minutes that you choose on the slider.
    ::一个点从时钟顶部的 12 点开始,然后按时反弹,直到它回到起始点。点每次反弹的距离取决于滑块上您选择的分钟数 。

    Notice patterns in the number of minutes when you make a star or a polygon.
    ::生成恒星或多边形时注意分钟数模式。

     

    INTERACTIVE
    Shapes in a Clock
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    • Move the slider to change the number of minutes to see how many shapes are made in the clock
      ::移动滑动滑动器以更改分钟数以查看时钟的形状数
    • The point will move around following the pattern.
      ::点将沿着图案移动 。
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    Discussion Question
    ::讨论问题

    What patterns do you see in the interactive? How does the number of minutes relate to the shape produced?
    ::您在互动中看到什么模式? 分钟数与生成的形状有何关联 ?

    CK-12 Interactive PLIX: GCF Using Factor Trees
    ::CK-12 交互式互动PLIX:利用因子树建立全球合作框架

    In this PLIX,  you will  construct factor trees for 2 numbers and use the  common prime factors to find the GCF.
    ::在这个PLIX中,你将建造2个数字的因子树,并利用共同的基本因素寻找绿色气候基金。

     

     

    CK-12 Interactive PLIX: GCF Using Lists
    ::CK-12 交互式互动PLIX:全球合作框架使用名单

    In this PLIX,  you will create lists of factor pairs for two numbers to find the GCF. The questions show applications for GCF with fractions. 
    ::在此 PLIX 中, 您将为两个数字创建元素配对列表, 以查找绿色气候基金 。 问题显示了对绿色气候基金的申请分数 。

     

     

     

    How many beaded bracelets can you make?
    ::你能做多少个珠子手镯?

    lesson content
    Friendship Bracelets

    Arya wants to make matching bracelets for her friends. She has 50 star beads and 96 oval beads. Use the interactive to make the matching bracelets.
    ::Arya想为她的朋友制作配对的手镯。 她有50颗星珠和96颗星珠。 使用交互手镯来制作配对的手镯 。

     

    INTERACTIVE
    Making Beaded Bracelets
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    • Click the buttons to change the number of bracelets, star beads, and oval beads used.
      ::单击按钮以更改手镯、恒星珠和所用的奥瓦尔珠的数量。
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    CK-12 Interactive PLIX: Tiling the Kitchen Floor
    ::CK-12 交互式互动PLIX:厨房楼层铺设

    In this PLIX, you will use GCF to resize square tiles to fit evenly across a kitchen floor. 
    ::在这个PLIX中,你将使用全球合作框架来调整平方瓷砖的大小,以平衡地跨过厨房的地板。

     

     

     

    Can you guess the number?
    ::你能猜到号码吗?

    lesson content

    See if you can guess the mystery number in the game below! The number is between 1 and 100. After your guess, you will see the GCF between the mystery number and your guess.  Can you find the number in 20 tries?
    ::看看您能否猜出下面游戏中的谜数! 数字是在 1 到 100 之间 。 在您猜想之后, 您将会在谜数和猜数之间看到绿色气候基金 。 您可以在 20 次尝试中找到这个数字吗 ?

     

    INTERACTIVE
    Can you guess the number?
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    • Try to find the mystery number in 20 guesses.
      ::尝试在20个猜测中找到神秘号码。
    • The mystery number is a whole number between 1 and 100.
      ::神秘号码是整个数字 1到100之间。
    • Type your guess into the input box and then press "Guess".
      ::键入输入框,然后按“Guess”键。
    • See the Greatest Common Factor between your guess and the mystery number
      ::见猜测和神秘数字之间的最共同因素
    • Use the "Hint" button to see all the common factors between your guess and the mystery number.
      ::使用“ 提示” 按钮来查看您猜测和神秘数字之间的所有共同因素 。
    • Once finished, try another number with the "New" button.
      ::完成后, 用“ 新” 按钮尝试另一个数字 。
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    Discussion Questions
    ::讨论问题 讨论问题

    1. How were you able to use the GCF to make your next guess?
      ::你如何利用绿色气候基金 来猜下一个?
    2. Which numbers would be easier to guess, prime numbers or composite numbers?
      ::哪些数字比较容易猜到? 质数还是复合数?
    3. Would it be easier to guess a large number with more factors (like 90) or a small number with fewer factors (like 6)?
      ::是否比较容易以更多因素(如90)或较少因素(如6)来猜测一大批因素(如90)或少数因素(如6)?
    4. What strategies could you use to find the mystery number as fast as possible?
      ::你能用什么策略 尽快找到神秘号码?
      Summary
    • Factors are numbers that evenly divide into a number (with no remainder). For example, the multiples of 6 are 1, 2, 3, and 6.
      ::例如,6的乘数是1、2、3和6, 乘数是1, 2, 3和6。
    • The greatest common factor is the highest number that evenly divides two or more numbers. For example, the greatest common factor of 6 and 9 is 3.
      ::最大的共同因素是两个或两个以上数字平均分布的最大因素,例如,最大的共同因素6和9是3。