跟美国学生同步做数学

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 COMMON FACTORS AND LEAST COMMON 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 COMPARISONS 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 20

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.="">

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 COMPOSING INTO RECTANGLES OR DECOMPOSING 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. 5A)

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)