章节大纲

  • 常规

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  • 使用神学方法解决多步问题

    Order of Operations
    ::行动命令令

    To review, the abbreviation   GEMDAS  can be used to remember the order of operations: 
    ::为回顾起见,GEMDAS缩略语可用来记起以下作业顺序:

    G rouping Symbols 彩蛋, { }, [ ]
    ::组合符号彩蛋 , {} , [ ]

    E xponents 
    ::指数

    M ultiplication and D ivision (done at the same time, from left to right)
    ::乘数和除法(同时完成,从左到右)

    A ddition and S ubtraction (done at the same time, from left to right)
    ::加法和减法(同时完成,从左到右)

    Rewrite the problem as you go through the operations . Sometimes it may be easier to change division to multiplication by the reciprocal or subtraction to adding the opposite.
    ::在操作过程中重写问题。 有时通过对等或减法将除法转换为乘法比较容易。

     

    Math Detective
    ::数学侦探

    See the equation with blue " data-term="Parentheses" role="term" tabindex="0"> parentheses . Below it is the expression from the left side of the equation. Depending on which operation is performed first, the value of the expression changes. For example, If you add 3 + 4 before performing any other operations in the first equation, then the expression equals 37.
    ::以蓝色括号看到方程式。 下面是方程式左侧的表达式。 取决于首先执行的操作, 表达式的值会改变。 例如, 如果您在第一个方程式中执行任何其他操作之前加上 3+ 4, 那么表达式等于 37 。

    • Move the red points to change which operation is performed first.
      ::将红点移动到更改先执行哪个操作。
    • Move the red point so the second expression equals 18.
      ::移动红点,使第二个表达式等于18。
    • Move the red point so the third expression equals 1.
      ::移动红点,使第三个表达式等于 1。

     

     

     

     

    One last property to review is the . It states that for any three numbers, a , b , and c ,  a ( b + c ) = a b + a c .  This property is true for all rational numbers and integers .  Notice, that there is no sign between the a and the parenthesis nor the ab and ac . You may assume whenever you do not see a sign, such as in this case, it will be multiplication. The a is being "distributed" to everything inside the parenthesis through multiplication.
    ::最后一个要审查的属性是 。 它指出, 对于任意三个数字, a、 b 和 c, a (b+c) = ab+ac 。 此属性适用于所有理性数字和整数。 注意, 括号与括号之间以及 ab 和 ac 之间没有符号 。 您可以假设, 每当你看不到一个符号, 比如这个例子, 它会乘法。 a 通过乘法“ 分配 ” 到括号内的一切 。

     

    Garden Area
    ::花园区

    Angie and Molly are planting a garden in their backyard. Angie wants one part of the garden to be fruit and a second part to be veggies. They agree that the fruit portion should be 10 feet by 16 feet and the veggie portion will be 10 feet by 22 feet.
    ::Angie和Molly在后院种植花园。Angie希望花园的一部分是水果,第二部分是蔬菜。他们同意水果部分应为10英尺乘16英尺,蔬菜部分为10英尺乘22英尺。

     

     

     

     

    Discussion Question
    ::讨论问题

    Why is the Distributive Property true? What are some mistakes that someone could make when using the Distributive Property? Is it true for subtraction?
    ::为什么分配财产是真实的?有人在使用分配财产时会犯什么错误?减法是真实的吗?

    for more examples of using the Distributive Property!
    ::更多使用分配财产的例子!

    Bake Sale
    ::间接销售

    Sandy is in charge of a bake sale fundraiser for her school. She decides to make a double batch of chocolate chip cookies and a triple batch of snickerdoodles. Some of the main ingredients for each recipe are below.  How much butter, white sugar, flour and eggs does Sandy need to buy at the store?
    ::她决定做两批巧克力曲奇饼干和三批饼干。每个食谱的一些主要成分都在下面。桑迪在店里要买多少黄油、白糖、面粉和鸡蛋?

    Ingredient lists for chocolate chip cookies and snickerdoodles for a bake sale.
    Ingredients Lists

     

     

     

     

    Discussion Question
    ::讨论问题

    Whenever making more than one batch of cookies, or any recipe, you will need to multiply every ingredient by the number of batches you are making. How does this affect how much of each ingredient you will need? When you go to the store, can you buy the exact amount of each ingredient? Why not?
    ::当制作超过一批饼干或任何食谱时,您需要将每个成分乘以您正在制作的批次数。 这如何影响您需要的每种成分的多少? 当你去商店时, 您能够购买每种成分的确切数量吗? 为什么不呢 ?

     

       Summary
    ::摘要

    • The order of operations is: grouping symbols, exponents, multiplication and division, addition and subtraction. 
      ::操作的顺序是:组合符号、指数、乘法和除法、加法和减法。
    • The Distributive Property states that for any three numbers  a ,   b ,  and  c : a ( b + c ) = a b + a c .  
      ::分配财产表示,对于任何三个数字a、b和c:a(b+c)=ab+ac,分配财产是指任何三个数字a、b和c:a(b+c)=ab+ac。