Smart Math:跟美国学生同步做数学(彩色英文版 Grade 6) 下载 pdf 百度网盘 epub 免费 2025 电子书 mobi 在线

经过两年多的时间，这套Common Core Standards Series 系列丛书终于全部完成了！该丛书包括三个系列：《Smart Reading: 跟美国学生同步练阅读》、《Smart Science：跟美国学生同步学科学》和《Smart Math：跟美国学生同步做数学》，分别针对西方学校1-8 年级的英语语言艺术（ELA）、科学（Science）、数学（Math）三门必修课程。全书由加拿大教师对照美国教学大纲（CCSS）进行编写，为中国学生提供一系列与西方教学标准和难度同步的全英文训练教程。这套由外教精心编写的教程，至少可以帮助读者：

1. 了解并借鉴西方老师和学生的教学思维与方法；

2. 按学科分类扩充英语词汇、增加相应学科知识；

3. 既掌握了学科知识又高效地提升英语语言能力；

4. 为准备留学考试及将来出国留学打下更好基础。

近些年，中国出国留学的中小学生越来越多，但国内除了托福、雅思、SAT 等国际考试的资料外，关于西方中小学教学的英文图书几乎没有。Holybird Publishing 于加拿大温哥华岛注册运营后，便着手这一计划，其间历经一些挑战，仍如期问世！这是一件可喜的事。读者可以结合我们出版的数十种“西方原版教材与经典读物”，对西方学校教学体系有一个更全面的了解，并从中得到基本的训练。有了这样的基础，未来的学习生活应该更加游刃有余。祝愿所有孩子们怀揣梦想并如愿成真！

About the Common Core

The Common Core is a set of high-quality academic standards in mathematics and English language arts (ELA).

In 2009 the state school chiefs and governors that comprise CCSSO and the NGA Center coordinated a stateled effort to develop the Common Core State Standards. Designed through collaboration among teachers, school chiefs, administrators, and other experts, the standards provide a clear and consistent framework for educators.

The standards were created to ensure that all students graduate from high school with the skills and knowledge necessary to succeed in college, career, and life, regardless of where they live. The standards define the knowledge and skills students should gain throughout their K-12 education in order to graduate high school prepared to succeed in entrylevel careers, introductory academic college courses, and workforce training programs.

Forty-two states , the District of Columbia, four territories, have voluntarily adopted and are moving forward with the Common Core.

PART 1 RATIOS AND PROPORTIONAL RELATIONSHIPS (RP)

Chapter 01

UNDERSTAND THE CONCEPT OF A RATIO AND USE RATIO LANGUAGE TO DESCRIBE A RELATIONSHIP BETWEEN TWO QUANTITIES. (RP. 1)

Chapter 02

UNDERSTAND THE CONCEPT OF A UNIT RATE ASSOCIATED WITH A RATIO AND USE RATE LANGUAGE IN THE CONTEXT OF A RATIO RELATIONSHIP. (RP. 2)

Chapter 03

USE RATIO AND RATE REASONING TO SOLVE REAL-WORLD AND MATHEMATICAL PROLEMS: TABLES AND EQUIVALENT RATIOS (RP. 3A)

Chapter 04

SOLVING UNIT RATE PROBLEMS. (RP. 3B)

Chapter 05

UNDERSTANDING PERCENT AS A RATE. (RP. 3C)

Chapter 06

USE RATIO REASONING TO CONVERT MEASUREMENT UNITS. (RP. 3D)

PART 2 THE NUMBER SYSTEM (NS)

Chapter 07

DIVISION OF FRACTIONS BY FRACTION. (NS. 1)

Chapter 08

FLUENTLY DIVIDE MULTI-DIGIT NUMBERS USING THE STANDARD ALGORITHM. (NS. 2)

Chapter 09

FLUENTLY ADD, SUBTRACT, MULTIPLY AND DIVIDE MULTI-DIGIT DECIMALS USING STANDARD ALGORITHMS. (NS. 3)

Chapter 10

FINDING GREATEST COMMON FACTORS AND LEAST COMMON MULTIPLES. (NS. 4)

Chapter 11

POSITIVE AND NEGATIVE NUMBERS. (NS. 5)

Chapter 12

RATIONAL NUMBERS ON A NUMBER LINE. (NS. 6A)

Chapter 13

GRAPHING ORDERED PAIRS ON A COORDINATE PLANE. (NS. 6B)

Chapter 14

GRAPHING INTEGERS AND RATIONAL NUMBERS ON A NUMBER LINE OR COORDINATE PLANE. (NS. 6C)

Chapter 15

INTERPRET STATEMENTS OF INEQUALITY AS STATEMENTS ABOUT THE RELATIVE POSITION OF TWO NUMBERS ON A NUMBER LINE DIAGRAM. (NS. 7A)

Chapter 16

WRITE, INTERPRET, AND EXPLAIN STATEMENTS OF ORDER FOR RATIONAL NUMBERS IN REAL-WORLD CONTEXTS. (NS. 7B)

Chapter 17

UNDERSTAND THE ABSOLUTE VALUE OF A RATIONAL NUMBER AS ITS DISTANCE FROM ZERO ON THE NUMBER LINE. (NS. 7C)

Chapter 18

DISTINGUISH COMPARISONS OF ABSOLUTE VALUE FROM STATEMENTS ABOUT ORDER. (NS. 7D)

Chapter 19

SOLVE REAL-WORLD AND MATHEMATICAL PROBLEMS BY GRAPHING POINTS IN ALL FOUR QUADRANTS OF THE COORDINATE PLANE. (NS. 8)

PART 3 EXPRESSIONS AND EQUATIONS (EE)

Chapter 20

WRITE EXPRESSIONS THAT RECORD OPERATIONS WITH NUMBERS AND WITH LETTERS STANDING FOR NUMBERS. (EE. 1)

Chapter 21

WRITE EXPRESSIONS THAT RECORD OPERATIONS WITH NUMBERS AND WITH LETTERS STANDING FOR NUMBERS. (EE. 2A)

Chapter 22

IDENTIFY PARTS OF AN EXPRESSION USING MATHEMATICAL TERMS; VIEW ONE OR MORE PARTS OF AN EXPRESSION AS A SINGLE ENTITY. (EE. 2B)

Chapter 23

EVALUATE EXPRESSIONS AT SPECIFIC VALUES OF THEIR VARIABLES. (EE. 2C)

Chapter 24

APPLY THE PROPERTIES OF OPERATIONS TO GENERATE EQUIVALENT EXPRESSIONS. (EE. 3)

Chapter 25

IDENTIFY WHEN TWO EXPRESSIONS ARE EQUIVALENT. (EE. 4)

Chapter 26

UNDERSTAND SOLVING AN EQUATION OR INEQUALITY AS A PROCESS OF ANSWERING A QUESTION: WHICH VALUES FROM A SPECIFIED SET, IF ANY, MAKE THE EQUATION OR INEQUALITY TRUE? (EE. 5)

Chapter 27

USE VARIABLES TO REPRESENT NUMBERS AND WRITE EXPRESSIONS WHEN SOLVING A REAL-WORLD OR MATHEMATICAL PROBLEM; UNDERSTAND THAT A VARIABLE CAN REPRESENT AN UNKNOWN NUMBER OR ANY NUMBER IN A SPECIFIED SET. (EE. 6)

Chapter 28

SOLVE REAL-WORLD AND MATHEMATICAL PROBLEMS BY WRITING AND SOLVING EQUATIONS OF THE FORM X P = Q AND PX = Q FOR CASES IN WHICH P, Q AND X ARE ALL NONNEGATIVE RATIONAL NUMBERS. (EE. 7)

Chapter 29

WRITE AN INEQUALITY OF THE FORM X > C OR X

Chapter 30

USE VARIABLES TO REPRESENT TWO QUANTITIES IN A REAL-WORLD PROBLEM THAT CHANGE IN RELATIONSHIP TO ONE ANOTHER. (EE. 9)

PART 4 GEOMETRY (G)

Chapter 31

FIND THE AREA OF RIGHT TRIANGLES, OTHER TRIANGLES, SPECIAL QUADRILATERALS, AND POLYGONS BY COMPOSING INTO RECTANGLES OR DECOMPOSING INTOTRIANGLES AND OTHER SHAPES. (G. 1)

Chapter 32

FIND THE VOLUME OF A RIGHT RECTANGULAR PRISM WITH FRACTIONAL EDGE LENGTHS. (G. 2)

Chapter 33

DRAW POLYGONS IN THE COORDINATE PLANE GIVEN COORDINATES FOR THE VERTICES; USE COORDINATES TO FIND THE LENGTH OF A SIDE JOINING POINTS WITH THE SAME FIRST COORDINATE OR THE SAME SECOND COORDINATE. (G. 3)

Chapter 34

REPRESENT THREE-DIMENSIONAL FIGURES USING NETS MADE UP OF RECTANGLES AND TRIANGLES, AND USE THE NETS TO FIND THE SURFACE AREA OF THESE FIGURES. (G. 4)

PART 5 STATISTICS AND PROBABILITY (SP)

Chapter 35

RECOGNIZE A STATISTICAL QUESTION AS ONE THAT ANTICIPATES VARIABILITY IN THE DATA RELATED TO THE QUESTION AND ACCOUNTS FOR IT IN THE ANSWERS. (SP. 1)

Chapter 36

UNDERSTAND THAT A SET OF DATA COLLECTED TO ANSWER A STATISTICAL QUESTION HAS A DISTRIBUTION WHICH CAN BE DESCRIBED BY ITS CENTER, SPREAD, AND OVERALL SHAPE. (SP. 2)

Chapter 37

RECOGNIZE THAT A MEASURE OF CENTER FOR A NUMERICAL DATA SET SUMMARIZES ALL OF ITS VALUES WITH A SINGLE NUMBER, WHILE A MEASURE OF VARIATION DESCRIBES HOW ITS VALUES VARY WITH A SINGLE NUMBER. (SP. 3)

Chapter 38

DISPLAY NUMERICAL DATA IN PLOTS ON A NUMBER LINE, INCLUDING DOT PLOTS, HISTOGRAMS, AND BOX PLOTS. (SP. 4)

Chapter 39

SUMMARIZE NUMERICAL DATA SETS IN RELATION TO THEIR CONTEXT, SUCH AS BY REPORTING THE NUMBER OF OBSERVATIONS. (SP. 5A)

Chapter 40

SUMMARIZE NUMERICAL DATA SETS IN RELATION TO THEIR CONTEXT, SUCH AS BY DESCRIBING THE NATURE OF THE ATTRIBUTE UNDER INVESTIGATION, INCLUDING HOW IT WAS MEASURED AND ITS UNITS OF MEASUREMENT. (SP. 5B)

Chapter 41

SUMMARIZE NUMERICAL DATA SETS IN RELATION TO THEIR CONTEXT, SUCH AS BY GIVING QUANTITATIVE MEASURES OF CENTER AND VARIABILITY, AS WELL AS DESCRIBING ANY OVERALL PATTERN AND ANY STRIKING DEVIATIONS FROM THE OVERALL PATTERN WITH REFERENCE TO THE CONTEXT IN WHICH THE DATA WERE GATHERED. (SP. 5C)

Chapter 42

SUMMARIZE NUMERICAL DATA SETS IN RELATION TO THEIR CONTEXT, SUCH AS BY RELATING THE CHOICE OF MEASURES OF CENTER AND VARIABILITY TO THE SHAPE OF THE DATA DISTRIBUTION AND THE CONTEXT IN WHICH THE DATA WERE GATHERED. (SP. 5D)

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编辑推荐

     《Smart Math:跟美国学生同步做数学》系列图书由加拿大教师根据美国现行中小学数学教学标准，专为国内中小学生编写。《Smart Math:跟美国学生同步做数学》全套书共8册，对应西方高中以前的各个年级（Grade 1-8），全书以大16开全彩色英文形式出版，《Smart Math:跟美国学生同步做数学(彩色英文版 Grade 6)》为第六册。书中涵盖比率与比例关系、数量、方程式、几何图形认知、统计与概率等数学知识点，配以大量彩色插图，让孩子们得到语言技能与学科知识的双重锻炼，并学会运用数学知识和技能解决现实生活中的问题，让学习数学变得更加真实而有趣，同时全英文学习也为将来出国留学打下更好基础。

        配套电子版答案请扫章上的二维码下载

书摘插图

前言

      继《Smart Reading: 跟美国学生同步练阅读》和《Smart Science: 跟美国学生同步学科学》之后，这套以美国现行教学大纲（Common Core State Standards，简称CCSS）为蓝本、由加拿大英语教师编写的《Smart Math: 跟美国学生同步做数学》终于问世了！这三套书，对应西方学校1-8 年级开设的英语语言艺术（ELA）、数学（Math）和科学（Science）三门主要学科，统一按美国现行通用教学标准编写，旨在为出国留学的孩子提升语言能力、用英语训练学科知识与技能提供一定帮助。这些辅导书可以让他们换个角度练英语、换种语言学知识，这应该是件一举多得的事儿。

     近些年，出国留学的孩子人数大增，去往的目的地更广、趋于低龄化。留学之路，对一个家庭和孩子未来的发展而言，都是需要慎重考虑和决定的大事，切不可盲从和草率而定。如果定下来要送出去读，出国前应尽可能做些铺垫，如语言训练、兴趣培养、对西方的认知等。多做点这方面的功课，比单纯提高托福、雅思分数要有用得多。

     对于“共同核心标准”（CCSS）这一概念，中国家长和学生可能有些陌生。它是美国从幼儿园至高中所使用的统一教学标准，加拿大很多学校也会参考这一标准。在美国和加拿大，学校教育系统主要由各个州（省）政府所监管。这意味着，阿肯色州与俄勒冈州的孩子们在学校所学的内容会不太相同。当他们完成K12 教育、继续接受高等教育或步入职业生涯时，如果所受教育采用不一样的标准，便会产生一些问题。尤其当某个家庭从一个州搬迁至另一个州时，孩子的续读或许会出现一些麻烦。“共同核心标准”正是着力于解决这类问题。它是由美国一些著名教育家与政界、商界很有影响力的人物极力倡导而制定，尽量弥合各州之间教学标准的差异。目前为此，美国42 个州、哥伦比亚地区、四个领地都在使用这一教学标准。比尔• 盖茨先生也极力赞助这一标准的推广。

     共同核心标准，涵盖了幼儿园至12 年级，旨在培养学生的批判性思考能力，传授各年级学科知识。让他们学会设立问题、自我思考，将所学内容进行关联和牵引。共同核心标准，首先注重的是教学生如何思考，然后是学习内容。注重记忆基础之上的知识与技能训练和相互关联。这一标准具有以下特点：

     1. 建立在大量研究与事实基础之上而制定；

     2. 标准清晰、易于理解并保持教学的延续性；

     3. 结合未来的大学教育与职业发展；

     4. 丰富的内容与知识应用，高度训练学生的思考能力；

     5. 融汇了各州教学标准的优势；

     6. 参考了其他国家的教育优点，让学生未来更好地适应全球化经济与社会。

     目前，共同核心标准包括两类课程：一是英语语言艺术（English Language Arts，简称“ELA”），另一门是数学。ELA 又包括阅读、写作、听说等各个领域。这些语言能力，也是学习其他科目的关键，如科学、历史与信息技术等。所以它不是一门简单的英语科目。数学大纲，不是重点强调记忆，而是让学生在训练技能的同时，能获取解决数学问题的方法。要求学生运用数学知识和技能解决真实世界中的问题。因此数学对学生来讲，会变得更加有趣而充满真实感。

     2014 年，Holybird Publishing 在加拿大西海岸美丽的维多利亚市注册成立，这为我们利用北美教育资源与作者队伍提供了便利的条件，使得CCSS 这一系列图书的出版成为可能。这些作者具有丰富的英语教学经验，有的在亚洲从事过多年英语教学，他们非常乐意完成这一工作。经过几年的努力，这套书能呈现给中国读者，满足部分学生的需求，作为出版者，我们十分高兴。由于各种原因，书中难免出现一些错误和不足，恳请批评指正，并期待听到家长和老师的反馈，便于我们更好地改进。衷心祝愿所有求学之路上的孩子们心存大志、学有所成！

Edward Liu

Editor-in-chief

of Holybird Publishing

in Victoria, BC, Canada