跟美国学生同步做数学
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广东广州
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作者(加)朱丽亚·博巴克(Julia Bobak) 编著
出版社天津人民出版社
ISBN9787201125091
出版时间2018-01
装帧平装
开本16开
定价60元
货号1201626465
上书时间2024-12-03
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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)
Chapter 13
APPLY AND EXTEND PREVIOUS UNDERSTANDINGS OF MULTIPLICATION AND DIVISION AND OF FRACTIONS TO MULTIPLY AND DIVIDE RATIONAL NUMBERS. APPLY PROPERTIES OF OPERATIONS AS STRATEGIES TO MULTIPLY AND DIVIDE RATIONAL NUMBERS. (NS. 2C)
Chapter 14
APPLY AND EXTEND PREVIOUS UNDERSTANDINGS OF MULTIPLICATION AND DIVISION AND OF FRACTIONS TO MULTIPLY AND DIVIDE RATIONAL NUMBERS. CONVERT A RATIONAL NUMBER TO A DECIMAL USING LONG DIVISION； KNOW THAT THE DECIMAL FORM OF A RATIONAL NUMBER TERMINATES IN ZEROES OR EVENTUALLY REPEATS. (NS. 2D)
Chapter 15
APPLY AND EXTEND PREVIOUS UNDERSTANDINGS OF MULTIPLICATION AND DIVISION AND OF FRACTIONS TO MULTIPLY AND DIVIDE RATIONAL NUMBERS. SOLVE REAL-WORLD AND MATHEMATICAL PROBLEMS INVOLVING THE FOUR OPERATIONS WITH RATIONAL NUMBERS. (NS. 3)
Chapter 16
APPLY PROPERTIES OF OPERATIONS AS STRATEGIES TO ADD, SUBTRACT, FACTOR, AND EXPAND LINEAR EXPRESSIONS WITH RATIONAL COEFFICIENTS. (NS. 4)
PART 3 EXPRESSIONS AND EQUATIONS (EE)
Chapter 17
UNDERSTAND THAT REWRITING AN EXPRESSION IN DIFFERENT FORMS IN A PROBLEM CONTEXT CAN SHED LIGHT ON THE PROBLEM AND HOW THE QUANTITIES IN IT ARE RELATED. (EE. 1)
Chapter 18
SOLVE MULTI-STEP REAL-LIFE AND MATHEMATICAL PROBLEMS POSED WITH POSITIVE AND NEGATIVE RATIONAL NUMBERS IN ANY FORM, USING TOOLS STRATEGICALLY. APPLY PROPERTIES OF OPERATIONS TO CALCULATE WITH NUMBERS IN ANY FORM； CONVERT BETWEEN FORMS AS APPROPRIATE； AND ASSESS THE REASONABLENESS OF ANSWERS USING MENTAL COMPUTATION AND ESTIMATION STRATEGIES. (EE. 2)
Chapter 19
SOLVE WORD PROBLEMS LEADING TO EQUATIONS OF THE FORM PX + Q = R AND P(X + Q) = R, WHERE P, Q, AND R ARE SPECIFIC RATIONAL NUMBERS. SOLVE EQUATIONS OF THESE FORMS FLUENTLY. COMPARE AN ALGEBRAIC SOLUTION TO AN ARITHMETIC SOLUTION, IDENTIFYING THE SEQUENCE OF THE OPERATIONS USED IN EACH APPROACH. (EE. 3A)
Chapter 20
SOLVE WORD PROBLEMS LEADING TO INEQUALITIES OF THE FORM PX + Q ＞ R OR PX + Q ＜ R, WHERE P, Q, AND R ARE SPECIFIC RATIONAL NUMBERS. GRAPH THE SOLUTION SET OF THE INEQUALITY AND INTERPRET IT IN THE CONTEXT OF THE PROBLEM. (EE. 3B)
PART 4 GEOMETRY (G)
Chapter 21
SOLVE PROBLEMS INVOLVING SCALE DRAWINGS OF GEOMETRIC FIGURES, INCLUDING COMPUTING ACTUAL LENGTHS AND AREAS FROM A SCALE DRAWING AND REPRODUCING A SCALE DRAWING AT A DIFFERENT SCALE. (G. 1)
Chapter 22
DRAW (FREEHAND, WITH RULER AND PROTRACTOR, AND WITH TECHNOLOGY) GEOMETRIC SHAPES WITH GIVEN CONDITIONS. FOCUS ON CONSTRUCTING TRIANGLES FROM THREE MEASURES OF ANGLES OR SIDES, NOTICING WHEN THE CONDITIONS DETERMINE A UNIQUE TRIANGLE, MORE THAN ONE TRIANGLE, OR NO TRIANGLE. (G. 2)
Chapter 23
DESCRIBE THE TWO-DIMENSIONAL FIGURES THAT RESULT FROM SLICING THREE DIMENSIONAL FIGURES, AS IN PLANE SECTIONS OF RIGHT RECTANGULAR PRISMS AND RIGHT&n
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