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醉染图书跟美国学生同步做数学9787201125091
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PART 1 RATIOS AND PROPORTIONAL RELATIONSHIPS (RP)
Chapter 01
COMPUTE UNIT RATES ASSOCIATED WITH RATIOS OF FRACTIONS, INCLUDING RATIOS OF LENGTHS, AREAS AND OTHER UANTITIES MEASURED IN LIKE OR DIFFERENT UNITS. (RP. 1)
Chapter 02
RECOGNIZE AND REPRESENT PROPORTIONAL RELATIONSHIPS BETWEEN UANTITIES. DECE WHETHER TWO UANTITIES ARE IN A PROPORTIONAL RELATIONSHIP. (RP. 2A)
Chapter 03
RECOGNIZE AND REPRESENT PROPORTIONAL RELATIONSHIPS BETWEEN UANTITIES. ENTIFY THE CONSTANT OF PROPORTIONALITY (UNIT RATE) IN TABLES, GRAPHS, EUATIONS, DIAGRAMS, AND VERBAL DESCRIPTIONS OF PROPORTIONAL RELATIONSHIPS. (RP. 2B)
Chapter 04
RECOGNIZE AND REPRESENT PROPORTIONAL RELATIONSHIPS BETWEEN UANTITIES. REPRESENT PROPORTIONAL RELATIONSHIPS BY EUATINS (RP. 2C)
Chapter 05
RECOGNIZE AND REPRESENT PROPORTIONAL RELATIONSHIPS BETWEEN UANTITIES. 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 UANTITIES COMBINE TO MAKE 0. (NS. 1A)
Chapter 08
UNDERSTAND P + AS THE NUMBER LOCATED A DISTANCE || FROM P, IN THE POSITIVE OR NEGTIE DIRECTION DEPENDING ON WHETHER IS POSITIVE OR NEGTIE. SHOW THAT A NUMBER AND ITS OPPOSITE HE 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 – = P + (–). 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 DVIE RATIONAL NUMBERS. UNDERSTAND THAT MULTIPLICATION IS EXTENDED FROM FRACTIONS TO RATIONAL NUMBERS BY REUIRING 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 DVIE RATIONAL NUMBERS. UNDERSTAND THAT INTEGERS CAN BE DVE, PROVED THAT THE DIVISOR IS NOT ZERO, AND EVERY UOTIENT OF INTEGERS (WITH NON-ZERO DIVISOR) IS A RATIONAL NUMBER. INTERPRET UOTIENTS 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 DVIE RATIONAL NUMBERS. APPLY PROPERTIES OF OPERATIONS AS STRATEGIES TO MULTIPLY AND DVIE RATIONAL NUMBERS. (NS. 2C)
Chapter 14
APPLY AND EXTEND PREVIOUS UNDERSTANDINGS OF MULTIPLICATION AND DIVISION AND OF FRACTIONS TO MULTIPLY AND DVIE 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 DVIE 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 EUATIONS (EE)
Chapter 17
UNDERSTAND THAT REWRITING AN EXPRESSION IN DIFFERENT FORMS IN A PROBLEM CONTEXT CAN SHED LIGHT ON THE PROBLEM AND HOW THE UANTITIES IN IT ARE RELATED. (EE. 1)
Chapter 18
SOLVE MULTI-STEP REAL-LIFE AND MATHEMATICAL PROBLEMS POSED WITH POSITIVE AND NEGTIE 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 EUATIONS OF THE FORM PX + = R AND P(X + ) = R, WHERE P, , AND R ARE SPECIFIC RATIONAL NUMBERS. SOLVE EUATIONS OF THESE FORMS FLUENTLY. COMPARE AN ALGEBRAIC SOLUTION TO AN ARITHMETIC SOLUTION, ENTIFYING THE SEUENCE OF THE OPERATIONS USED IN EACH APPROACH. (EE. 3A)
Chapter 20
SOLVE WORD PROBLEMS LEADING TO INEUALITIES OF THE FORM PX + > R OR PX + < R, WHERE P, , AND R ARE SPECIFIC RATIONAL NUMBERS. GRAPH THE SOLUTION SET OF THE INEUALITY 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 CONDITINS FOCUS ON CONSTRUCTING TRIANGLES FROM THREE MEASURES OF ANGLES OR SES, NOTICING WHEN THE CONDITIONS DETERMINE A UNIUE TRIANGLE, MORE THAN ONE TRIANGLE, OR NO TRIANGLE. (G. 2)
Chapter
DESCRIBE THE TWO-DIMENSIONAL FIGURES THAT RESULT FROM SLICING THREE DIMENSIONAL FIGURES, AS IN PLANE SECTIONS OF RIGHT RECTANGULAR PRISMS AND RIGHT RECTANGULAR PYRAMS. (G. 3)
Chapter 24
KNOW THE FORMULAS FOR THE AREA AND CIRCUMFERENCE OF A CIRCLE AND USE THEM TO SOLVE PROBLEMS; GIVE AN INFORMAL DERIVATION OF THE RELATIONSHIP BETWEEN THE CIRCUMFERENCE AND AREA OF A CIRCLE. (G. 4)
Chapter 25
USE FACTS ABOUT SUPPLEMENTARY, COMPLEMENTARY, VERTICAL, AND ADJACENT ANGLES IN A MULTI-STEP PROBLEM TO WRITE AND SOLVE SIMPLE EUATIONS FOR AN UNKNOWN ANGLE IN A FIGURE. (G. 5)
Chapter 26
SOLVE REAL-WORLD AND MATHEMATICAL PROBLEMS INVOLVING AREA, VOLUME AND SURFACE AREA OF TWO- AND THREE-DIMENSIONAL OBJECTS COMPOSED OF TRIANGLES, UADRILATERALS, POLYGONS, CUBES, AND RIGHT PRISMS. (G. 6)
PART 5 STATISTICS AND PROBABILITY (SP)
Chapter 27
UNDERSTAND THAT STATISTICS CAN BE USED TO GAIN INFORMATION ABOUT A POPULATION BY EXAMINING A SAMPLE OF THE POPULATION; GENERALIZATIONS ABOUT A POPULATION FROM A SAMPLE ARE VAL ONLY IF THE SAMPLE IS REPRESENTTIE OF THAT POPULATIN UNDERSTAND THAT RANDOM SAMPLING TENDS TO PRODUCE REPRESENTTIE SAMPLES AND SUPPORT VAL INFERENCES. (SP. 1)
Chapter 28
USE DATA FROM A RANDOM SAMPLE TO DRAW INFERENCES ABOUT A POPULATION WITH AN UNKNOWN CHARACTERISTIC OF INTEREST. GENERATE MULTIPLE SAMPLES (OR SIMULATED SAMPLES) OF THE SAME SIZE TO GAUGE THE VARIATION IN ESTIMATES OR PREDICTINS (SP. 2)
Chapter 29
INFORMALLY ASSESS THE DEGREE OF VISUAL OVERLAP OF TWO NUMERICAL DATA DISTRIBUTIONS WITH SIMILAR VARIABILITIES, MEASURING THE DIFFERENCE BETWEEN THE CENTERS BY EXPRESSING IT AS A MULTIPLE OF A MEASURE OF VARIABILITY. (SP. 3)
Chapter 30
USE MEASURES OF CENTER AND MEASURES OF VARIABILITY FOR NUMERICAL DATA FROM RANDOM SAMPLES TO DRAW INFORMAL COMPARTIE INFERENCES ABOUT TWO POPULATINS (SP. 4)
Chapter 31
UNDERSTAND THAT THE PROBABILITY OF A CHANCE EVENT IS A NUMBER BETWEEN 0 AND 1 THAT EXPRESSES THE LIKELIHOOD OF THE EVENT OCCURRING. LARGER NUMBERS NICATE GREATER LIKELIHOD A PROBABILITY NEAR 0 NICATES AN UNLIKELY EVENT, A PROBABILITY AROUND 1/2 NICATES AN EVENT THAT IS NEITHER UNLIKELY NOR LIKELY, AND A PROBABILITY NEAR 1 NICATES A LIKELY EVENT. (SP. 5)
Chapter 32
APPROXIMATE THE PROBABILITY OF A CHANCE EVENT BY COLLECTING DATA ON THE CHANCE PROCESS THAT PRODUCES IT AND OBSERVING ITS LONG-RUN RELTIE FREUENCY, AND PREDICT THE APPROXIMATE RELTIE FREUENCY GIVEN THE PROBABILITY. (SP. 6)
Chapter 33
DEVELOP A PROBABILITY MODEL AND USE IT TO FN PROBABILITIES OF EVENTS. COMPARE PROBABILITIES FROM A MODEL TO OBSERVED FREUENCIES; IF THE AGREEMENT IS NOT GOOD, EXPLAIN POSSIBLE SOURCES OF THE DISCREPANCY. DEVELOP A UNIFORM PROBABILITY MODEL BY ASSIGNING EUAL PROBABILITY TO ALL OUTCOMES, AND USE THE MODEL TO DETERMINE PROBABILITIES OF EVENTS. (SP. 7A)
Chapter 34
DEVELOP A PROBABILITY MODEL AND USE IT TO FN PROBABILITIES OF EVENTS. COMPARE PROBABILITIES FROM A MODEL TO OBSERVED FREUENCIES; IF THE AGREEMENT IS NOT GOOD, EXPLAIN POSSIBLE SOURCES OF THE DISCREPANCY. DEVELOP A PROBABILITY MODEL (WHICH MAY NOT BE UNIFORM) BY OBSERVING FREUENCIES IN DATA GENERATED FROM A CHANCE PROCESS. (SP. 7B)
Chapter 35
FN PROBABILITIES OF COMPOUND EVENTS USING ORGANZE LISTS, TABLES, TREE DIAGRAMS, AND SIMULATIN UNDERSTAND THAT, JUST AS WITH SIMPLE EVENTS, THE PROBABILITY OF A COMPOUND EVENT IS THE FRACTION OF OUTCOMES IN THE SAMPLE SPACE FOR WHICH THE COMPOUND EVENT OCCURS. (SP. 8A)
Chapter 36
FN PROBABILITIES OF COMPOUND EVENTS USING ORGANZE LISTS, TABLES, TREE DIAGRAMS, AND SIMULATIN REPRESENT SAMPLE SPACES FOR COMPOUND EVENTS USING METHODS SUCH AS ORGANZE LISTS, TABLES AND TREE DIAGRAMS. FOR AN EVENT DESCRBE IN EVERYDAY LANGUAGE, ENTIFY THE OUTCOMES IN THE SAMPLE SPACE WHICH COMPOSE THE EVENT. (SP. 8B)
Chapter 37
FN PROBABILITIES OF COMPOUND EVENTS USING ORGANZE LISTS, TABLES, TREE DIAGRAMS, AND SIMULATIN REPRESENT SAMPLE SPACES FOR COMPOUND EVENTS USING METHODS SUCH AS ORGANZE LISTS, TABLES AND TREE DIAGRAMS. DESIGN AND USE A SIMULATION TO GENERATE FREUENCIES FOR COMPOUND EVENTS. (SP. 8C)
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