正版 跟美国学生同步做数学:6:6 (加)朱丽亚·博巴克(Julia Bobak)

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 < C TO REPRESENT A CONSTRAINT OR CONDITION IN A REAL-WORLD OR MATHEMATICAL PROBLEM. (EE. 8)
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)

      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.

     《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。