跟美国学生同步做数学 本书特色

《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，本书为第七册。书中涵盖比例与比率两者关系、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。

跟美国学生同步做数学 内容简介

《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，专为靠前中小学生编写。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，本书为靠前册，书中加减法内容对于靠前学生并不复杂，其重点不在于学习运算, 而是学会如何用英文表达数学计算的过程与结果。书中涵盖加减法、测量、几何图形认知等，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，同时也为将来出国留学打下更好基础。

跟美国学生同步做数学 目录

PART 1 RATIOS AND PROPORTIONAL RELATIONSHIPS (RP)

Chapter 01

COMPUTE UNIT RATES ASSOCIATED WITH RATIOS OF FRACTIONS, INCLUDING RATIOS OF LENGTHS, AREAS AND OTHER QUANTITIES MEASURED IN LIKE OR DIFFERENT UNITS. (RP. 1)

Chapter 02

RECOGNIZE AND REPRESENT PROPORTIONAL RELATIONSHIPS BETWEEN QUANTITIES. DECIDE WHETHER TWO QUANTITIES ARE IN A PROPORTIONAL RELATIONSHIP. (RP. 2A)

Chapter 03

RECOGNIZE AND REPRESENT PROPORTIONAL RELATIONSHIPS BETWEEN QUANTITIES. IDENTIFY THE CONSTANT OF PROPORTIONALITY (UNIT RATE) IN TABLES, GRAPHS, EQUATIONS, DIAGRAMS, AND VERBAL DESCRIPTIONS OF PROPORTIONAL RELATIONSHIPS. (RP. 2B)

Chapter 04

RECOGNIZE AND REPRESENT PROPORTIONAL RELATIONSHIPS BETWEEN QUANTITIES. REPRESENT PROPORTIONAL RELATIONSHIPS BY EQUATIONS. (RP. 2C)

Chapter 05

RECOGNIZE AND REPRESENT PROPORTIONAL RELATIONSHIPS BETWEEN QUANTITIES. EXPLAIN WHAT A POINT (X, Y) ON THE GRAPH OF A PROPORTIONAL RELATIONSHIP MEANS IN TERMS OF THE SITUATION, WITH SPECIAL ATTENTION TO THE POINTS (0, 0) AND (1, R) WHERE R IS THE UNIT RATE. (RP. 2D)

Chapter 06

USE PROPORTIONAL RELATIONSHIPS TO SOLVE MULTISTEP RATIO AND PERCENT PROBLEMS. (RP. 3)

PART 2 THE NUMBER SYSTEM (NS)

Chapter 07

APPLY AND EXTEND PREVIOUS UNDERSTANDINGS OF ADDITION AND SUBTRACTION TO ADD AND SUBTRACT RATIONAL NUMBERS; REPRESENT ADDITION AND SUBTRACTION ON A HORIZONTAL OR VERTICAL NUMBER LINE DIAGRAM. DESCRIBE SITUATIONS IN WHICH OPPOSITE QUANTITIES COMBINE TO MAKE 0. (NS. 1A)

Chapter 08

UNDERSTAND P + Q AS THE NUMBER LOCATED A DISTANCE |Q| FROM P, IN THE POSITIVE OR NEGATIVE DIRECTION DEPENDING ON WHETHER Q IS POSITIVE OR NEGATIVE. SHOW THAT A NUMBER AND ITS OPPOSITE HAVE A SUM OF 0. INTERPRET SUMS OF RATIONAL NUMBERS BY DESCRIBING REAL-WORLD CONTEXTS. (NS. 1B)

Chapter 09

UNDERSTAND SUBTRACTION OF RATIONAL NUMBERS AS ADDING THE ADDITIVE INVERSE, P - Q = P + (-Q). SHOW THAT THE DISTANCE BETWEEN TWO RATIONAL NUMBERS ON THE NUMBER LINE IS THE ABSOLUTE VALUE OF THEIR DIFFERENCE, AND APPLY THIS PRINCIPLE IN REAL-WORLD CONTEXTS. (NS. 1C)

Chapter 10

APPLY PROPERTIES OF OPERATIONS AS STRATEGIES TO ADD AND SUBTRACT RATIONAL NUMBERS. (NS. 1D)

Chapter 11

APPLY AND EXTEND PREVIOUS UNDERSTANDINGS OF MULTIPLICATION AND DIVISION AND OF FRACTIONS TO MULTIPLY AND DIVIDE RATIONAL NUMBERS. UNDERSTAND THAT MULTIPLICATION IS EXTENDED FROM FRACTIONS TO RATIONAL NUMBERS BY REQUIRING THAT OPERATIONS CONTINUE TO SATISFY THE PROPERTIES OF OPERATIONS, PARTICULARLY THE DISTRIBUTIVE PROPERTY AND THE RULES FOR MULTIPLYING SIGNED NUMBERS. INTERPRET PRODUCTS OF RATIONAL NUMBERS BY DESCRIBING REAL-WORLD CONTEXTS. (NS. 2A)

Chapter 12

APPLY AND EXTEND PREVIOUS UNDERSTANDINGS OF MULTIPLICATION AND DIVISION AND OF FRACTIONS TO MULTIPLY AND DIVIDE RATIONAL NUMBERS. UNDERSTAND THAT INTEGERS CAN BE DIVIDED, PROVIDED THAT THE DIVISOR IS NOT ZERO, AND EVERY QUOTIENT OF INTEGERS (WITH NON-ZERO DIVISOR) IS A RATIONAL NUMBER. INTERPRET QUOTIENTS OF RATIONAL NUMBERS BY DESCRIBING REAL WORLD CONTEXTS. (NS. 2B)

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