【推荐语】
; ; ;《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，并用数学知识和技能解决现实生活中的问题，让学变得更加真实而有趣，同时全英文学将来出国留学打下更好基础。
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【目录】
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 MON FACTORS AND LEAST MON 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 PARISONS 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
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 POSING INTO RECTANGLES OR DEPOSING 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. )
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)
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 MON FACTORS AND LEAST MON 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 PARISONS 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
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 POSING INTO RECTANGLES OR DEPOSING 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. )
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)
