Smart Math: 跟美國學(xué)生同步做數學(xué)（彩色英文版·Grade 5）簡(jiǎn)介，目錄書(shū)摘

    《Smart Math:跟美國學(xué)生同步做數學(xué)》系列圖書(shū)由加拿大教師根據美國現行中小學(xué)數學(xué)教學(xué)標準，專(zhuān)為國內中小學(xué)生編寫(xiě)。全套書(shū)共8冊，對應西方高中以前的各個(gè)年級（Grade 1-8），全書(shū)以大16開(kāi)全彩色英文形式出版，本書(shū)為第五冊。書(shū)中涵蓋運算與代數思維、分數、測量、幾何圖形認知等數學(xué)知識點(diǎn)，配以大量彩色插圖，讓孩子們得到語(yǔ)言技能與學(xué)科知識的雙重鍛煉，并學(xué)會(huì )運用數學(xué)知識和技能解決現實(shí)生活中的問(wèn)題，讓學(xué)習數學(xué)變得更加真實(shí)而有趣，同時(shí)全英文學(xué)習也為將來(lái)出國留學(xué)打下更好基礎。

　　　經(jīng)過(guò)兩年多時(shí)間，這套Common Core Standards Series 系列叢書(shū)終于全部完成！該叢書(shū)包括三個(gè)系列：《Smart Reading: 跟美國學(xué)生同步練閱讀》（1-8年級）、《Smart Science：跟美國學(xué)生同步學(xué)科學(xué)》和（1- 8年級）《Smart Math：跟美國學(xué)生同步做數學(xué)》（1-8年級），分別針對西方學(xué)校1- 8年級的英語(yǔ)語(yǔ)言藝術(shù)（ELA）、科學(xué)（Science）、數學(xué)（Math）三門(mén)必修課程。全書(shū)由加拿大教師對照美國教學(xué)大綱（CCSS）進(jìn)行編寫(xiě)，為中國學(xué)生提供一系列與西方教學(xué)標準和難度同步的全英文訓練教程。這套由外教精心編寫(xiě)的教程，至少可以幫助讀者：

　　　1. 了解并借鑒西方老師和學(xué)生的教學(xué)思維與方法；

　　　2. 按學(xué)科分類(lèi)擴充英語(yǔ)詞匯、增加相應學(xué)科知識；

　　　3. 既掌握了學(xué)科知識又高效地提升英語(yǔ)語(yǔ)言能力；

　　　4. 為準備留學(xué)考試及將來(lái)出國留學(xué)打下更好基礎。

　　　近些年，中國出國留學(xué)的中小學(xué)生越來(lái)越多，但國內除了托福、雅思、SAT 等國際考試的資料外，關(guān)于西方中小學(xué)教學(xué)實(shí)訓的英文圖書(shū)幾乎沒(méi)有。Holybird Publishing結合部分學(xué)生的切實(shí)需求，充分研究和了解西方學(xué)習教材與教學(xué)體系，聘請北美老師精心編寫(xiě)，完成了這個(gè)美國教學(xué)大綱系列訓練教程。讀者還可以結合已經(jīng)出版的數十種"西方原版教材與經(jīng)典讀物"，進(jìn)行更加系統的訓練，既學(xué)習英語(yǔ)這門(mén)語(yǔ)言，同時(shí)了解西方文化與社會(huì )背景。這對將來(lái)的出國留學(xué)生活將更有幫助。

　　　　About the Common Core

　　　　The Common Core is a set of high-quality academic standards in mathematics and English language arts (ELA).

　　　　In 2009 the state school chiefs and governors that comprise CCSSO and the NGA Center coordinated a stateled effort to develop the Common Core State Standards. Designed through collaboration among teachers, school chiefs, administrators, and other experts, the standards provide a clear and consistent framework for educators.

　　　　The standards were created to ensure that all students graduate from high school with the skills and knowledge necessary to succeed in college, career, and life, regardless of where they live. The standards define the knowledge and skills students should gain throughout their K-12 education in order to graduate high school prepared to succeed in entrylevel careers, introductory academic college courses, and workforce training programs.

　　　　Forty-two states , the District of Columbia, four territories, have voluntarily adopted and are moving forward with the Common Core.

PART 1  OPERATIONS AND ALGEBRAIC THINKING (OA)

Chapter 01

USE PARENTHESES, BRACKETS, OR BRACES IN NUMERICAL EXPRESSIONS (OA. 1)

Chapter 02

CREATING EXPRESSIONS USING PARENTHESES (OA. 2)

Chapter 03

ANALYZE PATTERNS AND RELATIONSHIPS (OA. 3)

PART 2  NUMBER AND OPERATIONS IN BASE TEN (NBT)

Chapter 04

RECOGNIZE THAT IN A MULTI-DIGIT NUMBER, A DIGIT IN ONE PLACE IS 10 TIMES AS MUCH AS IT IS IN THE PLACE TO ITS RIGHT AND 1/10 WHAT IT IS IN THE PLACE TO ITS LEFT. (NBT. 1)

Chapter 05

EXPLAIN PATTERNS IN THE NUMBER OF ZEROS OF THE PRODUCT WHEN MULTIPLYING A NUMBER BY POWERS OF 10, AND EXPLAIN PATTERNS IN THE PLACEMENT OF THE DECIMAL POINT WHEN A DECIMAL IS MULTIPLIED OR DIVIDED BY A POWER OF 10. USE WHOLE-NUMBER EXPONENTS TO DENOTE POWERS OF 10. (NBT. 2)

Chapter 06

READ, WRITE, AND COMPARE DECIMALS TO THOUSANDTHS (NBT. 3)

Chapter 07

USE PLACE VALUE UNDERSTANDING TO ROUND DECIMALS TO ANY PLACE (NBT. 4)

Chapter 08

FLUENTLY MULTIPLY MULTI-DIGIT WHOLE NUMBERS USING THE STANDARD ALGORITHM. (NBT. 5)

Chapter 09

FIND WHOLE-NUMBER QUOTIENTS OF WHOLE NUMBERS WITH UP TO FOURDIGIT DIVIDENDS AND TWO-DIGIT DIVISORS (NBT. 6)

PART 3  NUMBERS AND OPERATIONS - FRACTIONS (NF)

Chapter 10

ADD AND SUBTRACT FRACTIONS WITH UNLIKE DENOMINATORS (INCLUDING MIXED NUMBERS) BY REPLACING GIVEN FRACTIONS WITH EQUIVALENT FRACTIONS IN SUCH A WAY AS TO PRODUCE AN EQUIVALENT SUM OR DIFFERENCE OF FRACTIONS WITH LIKE DENOMINATORS (NF. 1)

Chapter 11

SOLVE WORD PROBLEMS INVOLVING ADDITION AND SUBTRACTION OF FRACTIONS REFERRING TO THE SAME WHOLE, INCLUDING CASES OF UNLIKE DENOMINATORS, E.G., BY USING VISUAL FRACTION MODELS OR EQUATIONS TO REPRESENT THE PROBLEM. USE BENCHMARK FRACTIONS AND NUMBER SENSE OF FRACTIONS TO ESTIMATE MENTALLY AND ASSESS THE REASONABLENESS OF ANSWERS. (NF.2)

Chapter 12

INTERPRET A FRACTION AS DIVISION OF THE NUMERATOR BY THE DENOMINATOR (A/B = A ÷ B). SOLVE WORD PROBLEMS INVOLVING DIVISION OF WHOLE NUMBERS LEADING TO ANSWERS IN THE FORM OF FRACTIONS OR MIXED NUMBERS. ( NF. 3 )

Chapter 13

APPLY AND EXTEND PREVIOUS UNDERSTANDINGS OF MULTIPLICATION TO MULTIPLY A FRACTION OR WHOLE NUMBER BY A FRACTION. (NF. 4)

Chapter 14

INTERPRET MULTIPLICATION AS SCALING BY COMPARING THE SIZE OF A PRODUCT TO THE SIZE OF ONE FACTOR ON THE BASIS OF THE SIZE OF THE OTHER FACTOR, WITHOUT PERFORMING THE INDICATED MULTIPLICATION. (NF. 5)

Chapter 15

SOLVE REAL WORLD PROBLEMS INVOLVING MULTIPLICATION OF FRACTIONS AND MIXED NUMBERS, E.G., BY USING VISUAL FRACTION MODELS OR EQUATIONS TO REPRESENT THE PROBLEM. (NF. 6)

Chapter 16

APPLY AND EXTEND PREVIOUS UNDERSTANDINGS OF DIVISION TO DIVIDE UNIT FRACTIONS BY WHOLE NUMBERS AND WHOLE NUMBERS BY UNIT FRACTIONS. (NF.7)

PART 4  MEASUREMENTS AND DATA (MD)

Chapter 17

CONVERT AMONG DIFFERENT-SIZED STANDARD MEASUREMENT UNITS WITHIN A GIVEN MEASUREMENT SYSTEM, AND USE THESE CONVERSIONS IN SOLVING MULTI-STEP, REAL WORLD PROBLEMS. (MD.1)

Chapter 18

MAKE A LINE PLOT TO DISPLAY A DATA SET OF MEASUREMENTS IN FRACTIONS OF A UNIT (1/2, 1/4, 1/8). USE OPERATIONS ON FRACTIONS FOR THIS GRADE TO SOLVE PROBLEMS INVOLVING INFORMATION PRESENTED IN LINE PLOTS. (MD. 2)

Chapter 19

RECOGNIZE VOLUME AS AN ATTRIBUTE OF SOLID FIGURES AND UNDERSTAND CONCEPTS OF VOLUME MEASUREMENT. (MD. 3)

PART 5  GEOMETRY (G)

Chapter 20

GRAPH POINTS ON THE COORDINATE PLANE TO SOLVE REAL-WORLD AND MATHEMATICAL PROBLEMS. (G. 1)

Chapter 21

REPRESENT REAL WORLD AND MATHEMATICAL PROBLEMS BY GRAPHING POINTS IN THE FIRST QUADRANT OF THE COORDINATE PLANE, AND INTERPRET COORDINATE VALUES OF POINTS IN THE CONTEXT OF THE SITUATION. (G. 2)

Chapter 22

UNDERSTAND THAT ATTRIBUTES BELONGING TO A CATEGORY OF TWODIMENSIONAL FIGURES ALSO BELONG TO ALL SUBCATEGORIES OF THAT CATEGORY. (G. 3)

Chapter 23

CLASSIFY TWO-DIMENSIONAL FIGURES IN A HIERARCHY BASED ON PROPERTIES. (G. 4)