回顾整理——总复习 How time flies! Primary school sixth grade learning life is coming to an end, let's sort out the content of what we have learned! 时间过得真快呀！小学六年级的学习生活就要结束了，我们一起来整理一下所学的内容吧！ knowledge and skills 知识与技能 number and algebra 数与代数 Understanding of number 数的认识 What numbers have we learned? Let's sort it out. 1. 我们学过了哪些数？一起来整理一下吧。 We've learned about integers, fractions, decimals... 我们学过了整数、分数、小数…… 2. What's the connection between these numbers? 3. 这些数之间有什么联系？ An integer can be thought of as a fraction with 1 in the denominator... 整数可以看作分母是1的分数…… You can think of the denominator as 10, 100, 1000... Scores. 小数可以看作分母是10、 100、 1000……的分数。 Percentage is a special kind of fraction... 百分数是一种特殊的分数…… 4. How do the properties of decimals relate to the fundamental properties of fractions? 4. 小数的性质与分数的基本性质有什么联系？ The property of decimals is consistent with the fundamental property of fractions. 小数的性质与分数的基本性质是一致的。 讨论与交流 ● Why do we learn integers, fractions, decimals... What about these numbers? Think about it, if there is no number in our life, what will happen? ●我们为什么要学习整数、 分数、小数……这些数呢？想一想，生活中如果缺少了数，将会怎么样？ ● Do you know any other numbers besides those we learned in elementary school? ●除了我们小学阶段学过的这些数，你还知道其他的数吗？ The operation of numbers 数的运算 1. How to add and subtract integers, decimals, fractions? What are the similarities in their calculation methods? 1. 怎样进行整数、小数、分数加减运算？它们的计算方法有什么相同点？ When adding and subtracting integers and decimals, the numbers in the same place should be aligned... 进行整数和小数加减时，相同数位上的数要对齐…… When adding or subtracting fractions, only the fractions are in the same unit... 进行分数加减时，只有分数单位相同时…… Similarities in addition and subtraction of integers, decimals, and fractions. It is the addition or subtraction of numbers in the same unit. 整数、小数和分数加减法的相同点。就是把相同计数单位的数相加或相减。 2. How to multiply and divide integers, decimals and fractions? 2. 怎样进行整数、小数、分数乘除运算？ Decimal multiplication and division can be converted to integer multiplication and division to calculate... 小数乘除法可以转化成整数乘除法来计算…… Fractional division can also be converted to component number multiplication... 分数除法也可以转化成分数乘法来计算…… 3. What arithmetic laws have we learned? 3. 我们学过了哪些运算律？ We learned the laws of addition and multiplication. 我们学习了加法、乘法运算律。 4. According to the need to solve the problem, how to choose a reasonable calculation method? 4. 根据解决问题的需要，怎样选择合理的计算方法？ Mr. Wang wants to buy 190 copies of the Little Mathematics Dictionary. The unit price is 3.80 per copy. She has 800 yuan with her, is that enough? How much should I get back (or pay more)? 王老师要买190本《数学小词典》，单价是3.80/本。她带了800元钱，够吗？应找回(或再付)多少元？ Discussion and communication 讨论与交流 What is the relationship between the four operations? ●四则运算之间有什么关系？ ● "graphics and geometry", "statistics and possibility" and other knowledge learning is not to use calculation? Tell me your opinion. ●“图形与几何”、“统计与可能性”等知识的学习是不是都要用到计算？谈谈你的看法。 Quantity and measurement 量与计量 1. What units of measurement have we learned? 1. 我们学过哪些计量单位？ Discussion and communication 讨论与交流 ● How to convert between units of measurement? ●如何进行计量单位之间的换算？ ● What other units of measurement do you know? Talk to your peers. ●你还知道哪些计量单位？与同伴交流一下。 With the increasingly frequent international exchanges, different measurement systems tend to be unified gradually, which brings great convenience to people's life. 随着国际交流的日益频繁，不同的计量制度逐步趋于统一，给人们的生活带来很大的便利。 Ratio and proportion 比与比例 1. What do you know about ratios and proportions? 1. 关于比、比例的知识，你都知道哪些？ Ratio can be simplified by using the basic properties of ratio. 应用比的基本性质可以化简比。 Both positive and inverse ratios describe the relationship between two quantities. The ratio of the distance on a graph to the actual distance is called a scale. 正、反比例都是描述两种量之间的关系。图上距离与实际距离的比，叫作比例尺。 The way to tell if two quantities are directly proportional is... 判断两种量是否成正比例的方法是…… Discussion and communication 讨论与交流 What do ratios, fractions and divisions have to do with each other? ●比、分数、除法有什么联系？ ● What is the connection between the basic properties of ratio, the basic properties of fraction and the basic properties of quotient invariance? ●比的基本性质、分数的基本性质、商不变的基本性质三者之间有什么联系？ What are the connections and differences between ratio and proportion? ●比和比例之间有什么联系与区别？ Formula and equation 式与方程 1. Quantity relations, operation laws and calculation formulas can be expressed concisely by using letters. Can you give some examples of this? 1. 用字母可以简明地表达数量关系、运算律和计算公式。你能举出一些这样的例子吗？ 2. Can you straighten out your knowledge about equations? 2. 你能把有关方程的知识整理一下吗？ Meaning of Equation: An equation with unknown numbers is called an equation. 方程的意义：含有未知数的等式叫作方程。 The relationship between equations and equations: 方程与等式的关系： Solving the equation: The process of finding a solution to an equation is called solving the equation. 解方程：求方程的解的过程叫作解方程。 Discussion and communication 讨论与交流 |
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