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跟美国学生同步做数学
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跟美国学生同步做数学作者:(加)朱丽亚·博巴克(Julia Bob 开 本:16开 书号ISBN:9787201125091 定价: 出版时间:2018-01-01 出版社:天津人民出版社 |
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.="">
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 RECTANGULAR PYRAMIDS. (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 EQUATIONS 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, QUADRILATERALS, 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 VALID ONLY IF THE SAMPLE IS REPRESENTATIVE OF THAT POPULATION. UNDERSTAND THAT RANDOM SAMPLING TENDS TO PRODUCE REPRESENTATIVE SAMPLES AND SUPPORT VALID 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 PREDICTIONS. (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 COMPARATIVE INFERENCES ABOUT TWO POPULATIONS. (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 INDICATE GREATER LIKELIHOOD. A PROBABILITY NEAR 0 INDICATES AN UNLIKELY EVENT, A PROBABILITY AROUND 1/2 INDICATES AN EVENT THAT IS NEITHER UNLIKELY NOR LIKELY, AND A PROBABILITY NEAR 1 INDICATES A LIKELY EVENT. (SP. 5)
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