Smart Math: 跟美国学生同步做数学（彩色英文版·Grade 5）简介，目录书摘

    《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。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，本书为第五册。书中涵盖运算与代数思维、分数、测量、几何图形认知等数学知识点，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。

　　　经过两年多时间，这套Common Core Standards Series 系列丛书终于全部完成！该丛书包括三个系列：《Smart Reading: 跟美国学生同步练阅读》（1-8年级）、《Smart Science：跟美国学生同步学科学》和（1- 8年级）《Smart Math：跟美国学生同步做数学》（1-8年级），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实训的英文图书几乎没有。Holybird Publishing结合部分学生的切实需求，充分研究和了解西方学习教材与教学体系，聘请北美老师精心编写，完成了这个美国教学大纲系列训练教程。读者还可以结合已经出版的数十种"西方原版教材与经典读物"，进行更加系统的训练，既学习英语这门语言，同时了解西方文化与社会背景。这对将来的出国留学生活将更有帮助。

　　　　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  OPERATIONS 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 2  NUMBER 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 1/10 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 3  NUMBERS 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 (A/B = 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 4  MEASUREMENTS 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 (1/2, 1/4, 1/8). 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 5  GEOMETRY (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)