美国加州教材 Illinois Mathconnects 3.pdf

AuthorsAltieri Balka Day Gonsalves Grace Krulik Malloy Molix-Bailey Moseley Mowry Myren Price Reynosa Santa Cruz Silbey VielhaberAbout the CoverMultiplication and division are featured topics in Third grade.The cover shows different representations of multiplication such as the array of buttons on the snowman and the design on penguins swimsuit.Have students use multiplication to find the price of admission for 5,6,and 7 penguins as well as estimate the total number of dots on the penguins inner-tube.Copyright 2009 by The McGraw-Hill Companies,Inc.All rights reserved.Except as permitted under the United States Copyright Act,no part of thispublication may be reproduced or distributed in any form or by any means,or stored in a database or retrieval system,without prior permission ofthe publisher.Send all inquiries to:Macmillan/McGraw-Hill8787 Orion PlaceColumbus,OH 43240-4027ISBN:978-0-02-107479-2MHID:0-02-107479-8 Illinois Math Connects,Grade 3Printed in the United States of America.1 2 3 4 5 6 7 8 9 10 079/055 16 15 14 13 12 11 10 09 08 07iiiStart SmartChapter1 Use Place Value to CommunicateChapter2 Add to Solve ProblemsChapter3 Subtract to Solve ProblemsChapter4Develop Multiplication Concepts and FactsChapter5 Develop More Multiplication FactsChapter6 Develop Division Concepts and FactsChapter7 Develop More Division FactsChapter8 Use Patterns and Algebraic ThinkingChapter9Measure Length,Area,and TemperatureChapter10Measure Capacity,Weight,Volume,and TimeChapter11Identify Geometric Figures and Spatial ReasoningChapter12 Organize,Display,and Interpret DataChapter13 Develop FractionsChapter14 Understand Fractions and DecimalsChapter15 Multiply by One-Digit NumbersLooking Ahead to Next Year Problem-Solving Projectsand ConnectionsSee page iv for key.G3-FP7C,G3-FP1G3-FP7CG3-FP7CG3-FP1,G3-FP4CG3-FP1,G3-FP4CG3-FP1,G3-FP4CG3-FP1,G3-FP4CG3-FP1,G3-FP4CG3-FP5CG3-FP5CG3-FP3,G3-FP5CG3-FP6CG3-FP2,G3-FP5CG3-FP2,G3-FP5CG3-FP1,G3-FP4Civ ivKEYG3-FP1Grade 3 Focal Point 1G3-FP2Grade 3 Focal Point 2G3-FP3Grade 3 Focal Point 3G3-FP4CGrade 3 Focal Point 4 ConnectionG3-FP5CGrade 3 Focal Point 5 ConnectionG3-FP6CGrade 3 Focal Point 6 ConnectionG3-FP7CGrade 3 Focal Point 7 ConnectionThe Curriculum Focal Points identify key mathematical ideas for this grade.They are not discrete topics or a checklist to be mastered;rather,they provide a framework for the majority of instruction at a particular grade level and the foundation for future mathematics study.The complete document may be viewed at www.nctm.org/focalpoints.G3-FP1Number and Operations and Algebra:Developing understandings of multiplication and division and strategies for basic multiplication facts and related division factsStudents understand the meanings of multiplication and division of whole numbers through the use of representations(e.g.,equal-sized groups,arrays,area models,and equal“jumps”on number lines for multiplication,and successive subtraction,partitioning,and sharing for division).They use properties of addition and multiplication(e.g.,commutativity,associativity,and the distributive property)to multiply whole numbers and apply increasingly sophisticated strategies based on these properties to solve multiplication and division problems involving basic facts.By comparing a variety of solution strategies,students relate multiplication and division as inverse operations.G3-FP2Number and Operations:Developing an understanding of fractions and fraction equivalence Students develop an understanding of the meanings and uses of fractions to represent parts of a whole,parts of a set,or points or distances on a number line.They understand that the size of a fractional part is relative to the size of the whole,and they use fractions to represent numbers that are equal to,less than,or greater than 1.They solve problems that involve comparing and ordering fractions by using models,benchmark fractions,or common numerators or denominators.They understand and use models,including the number line,to identify equivalent fractions.G3-FP3Geometry:Describing and analyzing properties of two-dimensional shapes Students describe,analyze,compare,and classify two-dimensional shapes by their sides and angles and connect these attributes to definitions of shapes.Students investigate,describe,and reason about decomposing,combining,and transforming polygons to make other polygons.Through building,drawing,and analyzing two-dimensional shapes,students understand attributes and properties of two-dimensional space and the use of those attributes and properties in solving problems,including applications involving congruence and symmetry.v vG3-FP4CAlgebra:Understanding properties of multiplication and the relationship between multiplication and division is a part of algebra readiness that develops at grade 3.The creation and analysis of patterns and relationships involving multiplication and division should occur at this grade level.Students build a foundation for later understanding of functional