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.
目錄：
PART 1OPERATIONS AND ALGEBRAIC THINKING OA
Chapter 01
USE PARENTHESES, BRACKETS, OR BRACES IN NUMERICAL EXPRESSIONS OA. 1
Chapter 02
CREATING EXPRESSIONS USING PARENTHESES OA. 2
Chapter 03
ANALYZE PATTERNS AND RELATIONSHIPS OA. 3
PART 2NUMBER AND OPERATIONS IN BASE TEN NBT
Chapter 04
RECOGNIZE THAT IN A MULTI-DIGIT NUMBER, A DIGIT IN ONE PLACE IS 10 TIMES AS MUCH AS IT IS IN THE PLACE TO ITS RIGHT AND 110 WHAT IT IS IN THE PLACE TO ITS LEFT. NBT. 1
Chapter 05
EXPLAIN PATTERNS IN THE NUMBER OF ZEROS OF THE PRODUCT WHEN MULTIPLYING A NUMBER BY POWERS OF 10, AND EXPLAIN PATTERNS IN THE PLACEMENT OF THE DECIMAL POINT WHEN A DECIMAL IS MULTIPLIED OR DIVIDED BY A POWER OF 10. USE WHOLE-NUMBER EXPONENTS TO DENOTE POWERS OF 10. NBT. 2
Chapter 06
READ, WRITE, AND COMPARE DECIMALS TO THOUSANDTHS NBT. 3
Chapter 07
USE PLACE VALUE UNDERSTANDING TO ROUND DECIMALS TO ANY PLACE NBT. 4
Chapter 08
FLUENTLY MULTIPLY MULTI-DIGIT WHOLE NUMBERS USING THE STANDARD ALGORITHM. NBT. 5
Chapter 09
FIND WHOLE-NUMBER QUOTIENTS OF WHOLE NUMBERS WITH UP TO FOURDIGIT DIVIDENDS AND TWO-DIGIT DIVISORS NBT. 6
PART 3NUMBERS AND OPERATIONS - FRACTIONS NF
Chapter 10
ADD AND SUBTRACT FRACTIONS WITH UNLIKE DENOMINATORS INCLUDING MIXED NUMBERS BY REPLACING GIVEN FRACTIONS WITH EQUIVALENT FRACTIONS IN SUCH A WAY AS TO PRODUCE AN EQUIVALENT SUM OR DIFFERENCE OF FRACTIONS WITH LIKE DENOMINATORS NF. 1
Chapter 11
SOLVE WORD PROBLEMS INVOLVING ADDITION AND SUBTRACTION OF FRACTIONS REFERRING TO THE SAME WHOLE, INCLUDING CASES OF UNLIKE DENOMINATORS, E.G., BY USING VISUAL FRACTION MODELS OR EQUATIONS TO REPRESENT THE PROBLEM. USE BENCHMARK FRACTIONS AND NUMBER SENSE OF FRACTIONS TO ESTIMATE MENTALLY AND ASSESS THE REASONABLENESS OF ANSWERS. NF.2
Chapter 12
INTERPRET A FRACTION AS DIVISION OF THE NUMERATOR BY THE DENOMINATOR AB = A B. SOLVE WORD PROBLEMS INVOLVING DIVISION OF WHOLE NUMBERS LEADING TO ANSWERS IN THE FORM OF FRACTIONS OR MIXED NUMBERS. NF. 3
Chapter 13
APPLY AND EXTEND PREVIOUS UNDERSTANDINGS OF MULTIPLICATION TO MULTIPLY A FRACTION OR WHOLE NUMBER BY A FRACTION. NF. 4
Chapter 14
INTERPRET MULTIPLICATION AS SCALING BY COMPARING THE SIZE OF A PRODUCT TO THE SIZE OF ONE FACTOR ON THE BASIS OF THE SIZE OF THE OTHER FACTOR, WITHOUT PERFORMING THE INDICATED MULTIPLICATION. NF. 5
Chapter 15
SOLVE REAL WORLD PROBLEMS INVOLVING MULTIPLICATION OF FRACTIONS AND MIXED NUMBERS, E.G., BY USING VISUAL FRACTION MODELS OR EQUATIONS TO REPRESENT THE PROBLEM. NF. 6
Chapter 16
APPLY AND EXTEND PREVIOUS UNDERSTANDINGS OF DIVISION TO DIVIDE UNIT FRACTIONS BY WHOLE NUMBERS AND WHOLE NUMBERS BY UNIT FRACTIONS. NF.7
PART 4MEASUREMENTS AND DATA MD
Chapter 17
CONVERT AMONG DIFFERENT-SIZED STANDARD MEASUREMENT UNITS WITHIN A GIVEN MEASUREMENT SYSTEM, AND USE THESE CONVERSIONS IN SOLVING MULTI-STEP, REAL WORLD PROBLEMS. MD.1
Chapter 18
MAKE A LINE PLOT TO DISPLAY A DATA SET OF MEASUREMENTS IN FRACTIONS OF A UNIT 12, 14, 18. USE OPERATIONS ON FRACTIONS FOR THIS GRADE TO SOLVE PROBLEMS INVOLVING INFORMATION PRESENTED IN LINE PLOTS. MD. 2
Chapter 19
RECOGNIZE VOLUME AS AN ATTRIBUTE OF SOLID FIGURES AND UNDERSTAND CONCEPTS OF VOLUME MEASUREMENT. MD. 3
PART 5GEOMETRY G
Chapter 20
GRAPH POINTS ON THE COORDINATE PLANE TO SOLVE REAL-WORLD AND MATHEMATICAL PROBLEMS. G. 1
Chapter 21
REPRESENT REAL WORLD AND MATHEMATICAL PROBLEMS BY GRAPHING POINTS IN THE FIRST QUADRANT OF THE COORDINATE PLANE, AND INTERPRET COORDINATE VALUES OF POINTS IN THE CONTEXT OF THE SITUATION. G. 2
Chapter 22
UNDERSTAND THAT ATTRIBUTES BELONGING TO A CATEGORY OF TWODIMENSIONAL FIGURES ALSO BELONG TO ALL SUBCATEGORIES OF THAT CATEGORY. G. 3
Chapter 23
CLASSIFY TWO-DIMENSIONAL FIGURES IN A HIERARCHY BASED ON PROPERTIES. G. 4
內容試閱：
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
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