6.7 带有变量的表达式-interactive

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  带有变量的表达式

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  Board Game
  ::棋板游戏游戏游戏

  

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  P lay a board game  below by rolling a number and moving one piece at a time (blue or green) up and down the path. The first player that gets to a number greater than 26 wins!  In this interactive you add integers . Later in this section, you will perform operations with different numbers of variables including adding and subtracting.
  ::在下游玩棋盘游戏, 通过滚动一个数字, 并在路径上下移动一块( 蓝色或绿色) 。 第一个到达数字大于 26 的玩家获胜 。 在此互动中, 您会添加整数 。 在此节的后面, 您将执行不同变量数的操作, 包括增减 。

   

  

  INTERACTIVE

  Board Game

  

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  • This is a two player game.
    ::这是两场玩家游戏。
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  • Take turns pressing the roll button and moving your piece that number of spaces.
    ::按下滚动按钮,按下滚动键,按下转转键,按下滚动空间数,移动您的一块块。
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  • The first player to get a number greater than 26 wins.
    ::第一个获得超过 26 个的数的玩家胜出 。

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  How many factors can you burst?
  ::有多少因素可以破灭?

  

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  Math expressions are composed of terms . Terms are numbers and variables grouped together with multiplication and division (such as  $\begin{array}{r}5x\end{array}$  or  $\begin{array}{r}\frac{13}{m}).\end{array}$  Even a standalone numbers or variables are terms (such as 7 or  $\begin{array}{r}z).\end{array}$  
  ::数学表达式由术语组成。术语是数字和变量,与乘数和除法(如5x或13m)组合在一起。即使是独立数字或变量也是术语(如7或z)。

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  The numbers and variables that multiply together to make a term are called factors. You can factor a term by dividing it into factors (15 = 5 x 3).
  ::用数字和变量相乘得出一个术语的变量被称为因数。您可以通过将其分为因数(15 = 5 x 3)来计算一个术语。

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  F actor  as many terms in this interactive as you can.
  ::在此交互性中, 尽可能多的用词, 由您决定 。

   

  

  INTERACTIVE

  Factor Burst

  

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  • You have 30 seconds to click as many factorable terms as you can. 
    ::您有30秒的时间点击尽可能多的可计量的术语。
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  • When you click a term that can be factored, a pair of its factors pop out.
    ::当单击一个可以计数的术语时,就会发现一对因子。
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  • If you click   a prime number, you will lose a point.
    ::如果您单击质数, 就会失去一个点 。

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  Discussion Questions
  ::讨论问题 讨论问题

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  1. Why are there terms in the interactive that factor multiple times?
     ::为什么交互因素中存在多次的术语?
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  2. When a number multiplies or divides with a variable (such as $\begin{array}{r}14p\end{array}$  or $\begin{array}{r}\frac{1}{3}y)\end{array}$ , the number is called the coefficient . Can you factor a term with a coefficient and a variable?
     ::当数字乘以或除以变量(如 14p 或 13y ) 时,数字被称为系数。您能否用系数和变量来计算一个术语 ?
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  3. Can you factor a term with an exponent ?
     ::你们能用一个指数来计算一个学期吗?

   

   

   

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  How do you mix these crazy colors?
  ::你怎么混合这些疯狂的颜色?

  

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  When you mix primary colors (red, yellow, and blue) with secondary colors (orange, green, and purple) you get a whole new set of colors ! Try mixing the paint in the interactive to make colors like chartreuse and magenta. A s  you  pour an amount of paint,  $\begin{array}{r}p,\end{array}$  from red, blue, and yellow think about what math expression you could create.
  ::当您将原始颜色( 红色、 黄色和蓝色) 与次要颜色( 橙色、 绿色和紫色) 混合时, 您可以得到一整套新的颜色 。 尝试在互动中混合涂料, 以制作像红桃和紫色这样的颜色 。 当您从红色、 蓝色 和 黄色 来倒上大量油漆时, p, 从红色 、 蓝色 和 黄色 来考虑您可以创造的数学表达方式 。

   

  

  INTERACTIVE

  Crazy Colors

  

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  • Given that you can mix 12 colors, try to make any color you can think of.
    ::鉴于你可以混合12种颜色, 试着制造任何你能想到的颜色。

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  CK-12 PLIX Interactive: Addition and Subtraction of Like Terms
  ::CK-12 PLIX 互动:相同术语的增减

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  In this PLIX Interactive, you will add and subtract variables with an area model.
  ::在此 PLIX 互动中, 您将使用区域模型添加和减去变量 。

   

   

   

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  How much water at the wettest place in the USA?
  ::美国最湿的地方有多少水?

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  The wettest place in the USA is a volcano in Hawaii called Mt. Waialeale.  It rains 373 inches of rain a year on the mountain.  However, the rain varies from day to day.  Use the interactive to find the average (mean) inches of rain over 4 days.
  ::美国最湿的地方是夏威夷的一座名为Waialealele山的火山,每年在山上降雨373英寸。然而,降雨量每天都在变化。使用互动来寻找4天的平均(平均)雨英寸。

   

  

  INTERACTIVE

  How Much Water at the Wettest Place in the USA?

  

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  • Click on the days of the calendar to select the first three of the four days of which you want to find the average (mean).
    ::点击日历的天数来选择您想要找到平均值( 平均值) 的四天中的前三天 。

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  CK-12 PLIX Interactive: Swimming Fish
  ::CK-12 PLIX 互动:游泳鱼

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  In this CK-12 PLIX interactive, you will move a fish up and down through the ocean to solve addition and subtraction problems with a variable.
  ::在此 CK-12 PLIX 互动中, 您可以在海洋中上下移动一条鱼, 用变量解决增减问题 。

   

  Summary

  播放段落 When factoring expressions with variables, remember that a variable is directly next to a number they are being multiplied. For example:  $\begin{array}{r}6g=2\times 3\times g\end{array}$   ::当用变量来乘法表达式时,请记住变量与数字直接相邻,正乘以变量。例如: 6g=2x3xg 播放段落 Use a number to represent the unknown value. Substitute values into the letter to find different values for the expression. ::使用数字来表示未知值。在字母中替换值以查找表达式的不同值。