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Intermediate 3Standards SuccessCommon Core State Standards Companionfor use with Saxon Math Intermediate 3I3 MNLAEAN628141 FM.indd 13/1/11 9:35:21 PM

Copyright by HMH Supplemental Publishers Inc.All rights reserved. No part of this work may be reproduced or transmitted in any form or by any means,electronic or mechanical, including photocopying or recording, or by any information storage or retrievalsystem, without the prior written permission of the copyright owner unless such copying is expresslypermitted by federal copyright law.Permission is hereby granted to individuals using the corresponding student’s textbook or kit as the majorvehicle for regular classroom instruction to photocopy Lesson Extension Activities, Activity Masters, andExtension Tests from this publication in classroom quantities for instructional use and not for resale. Requestsfor information on other matters regarding duplication of this work should be addressed to Houghton MifflinHarcourt Publishing Company, Attn: Contracts, Copyrights, and Licensing, 9400 South Park Center Loop,Orlando, Florida 32819.Common Core State Standards Copyright 2010. National Governors Association Center for Best Practices andCouncil of Chief State School Officers. All rights reserved.This product is not sponsored or endorsed by the Common Core State Standards Initiative of the NationalGovernors Association Center for Best Practices and the Council of Chief State School Officers.Printed in the U.S.A.ISBN 978-0-547-62814-11 2 3 4 5 6 7 8 9 10 XXX450000000020 19 18 17 16 15 14 13 12 11ABCDEFGIf you have received these materials as examination copies free of charge, Houghton Mifflin HarcourtPublishing Company retains title to the materials and they may not be resold. Resale of examinationcopies is strictly prohibited.Possession of this publication in print format does not entitle users to convert this publication, orany portion of it, into electronic format.I3 MNLAEAN628141 FM.indd 23/1/11 9:35:21 PM

Table of ContentsInstructions for Using This BookOverview . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . iSaxon Math Intermediate 3 Table of Contentswith Common Core State Standards References. . . . . . . . . . . . . . . . . . . . . . . . . . . . 1Correlation to the Common Core State Standards. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13Lesson Extension ActivitiesLesson 35 Extension Activity 1. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19 Activity Master 1Lesson 38 Extension Activity 2. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21 Activity Master 2Lesson 62 Extension Activity 3. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23 Activity Master 3Lesson 63 Extension Activity 4. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25 Activity Master 4Lesson 67 Extension Activity 5. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27 Activity Master 5Lesson 84 Extension Activity 6. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29 Activity Master 6Lesson 87 Extension Activity 7. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31 Activity Master 7Lesson 92 Extension Activity 8. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33 Activity Master 8Lesson 95 Extension Activity 9. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35 Activity Master 9Lesson 104 Extension Activity 10. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 37 Activity Master 10Extension TestsExtension Test 1 – For use with Cumulative Test 8Extension Test 2 – For use with Cumulative Test 10Extension Test 3 – For use with Cumulative Test 12Extension Test 4 – For use with Cumulative Test 13Extension Test 5 – For use with Cumulative Test 14Extension Test 6 – For use with Cumulative Test 17Extension Test 7 – For use with Cumulative Test 18Extension Test 8 – For use with Cumulative Test 19Extension Test 9 – For use with Cumulative Test 20Extension Test 10 – For use with Cumulative Test 21Lesson Extension Activity Answers and Activity Master Answers. . . . . . . . . . . . . . . . . . . 49Extension Test Answers. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 50Saxon Math Intermediate 3 I3 MNLAEAN628141 FM.indd 3 HMH Supplemental Publishers Inc.3/1/11 9:35:21 PM

Instructions for Using This BookEducators who use Saxon Math know that the programs help students becomecompetent and confident learners. Because of the incremental nature of the program,some lessons provide foundational instruction necessary for developing more advancedskills used in later lessons. The Power Up, Problem Solving, and Written Practicesections of each lesson provide important review and practice needed for mastery. Forthose reasons, it is essential to teach all the lessons in the correct order and to includeall parts of the lesson in the daily instruction.The program Table of Contents included in this book shows references to the primaryCommon Core State Standards domain and cluster or Mathematical Practice addressedby each lesson and investigation. The Lesson Extension Activities provided in this bookwill help reinforce that knowledge. Each of these activities was developed to springfrom the instruction of the designated lesson or investigation.It is recommended that you review the Table of Contents to understand where theextension lessons are to be integrated into the program. Then place a reminder in theTeacher’s Manual, such as a colored flag or sticker, on the lesson or investigation withwhich the extension should be presented. Before the day the extension is to be taught,photocopy both the Lesson Extension Activity and Activity Master (one copy of eachper student). The pages are perforated to make removal and copying easier. At thistime, also check the extension activity and activity master for any materials that arerequired and be prepared for each student to have the necessary items. The problemson the Activity Masters may be solved directly following the Lesson Extension Activity,or may be used as additional practice at a later time.Extension Tests are provided to ensure that all Common Core objectives are evaluated.These multiple-choice assessments should be given with specified Cumulative Tests,as noted in the Table of Contents. Before test day, photocopy one copy of the ExtensionTest for each student’s use.Best wishes for a successful school year! I3 MNLAEAN628141 FM.indd 4 HMH Supplemental Publishers Inc.Saxon Math Intermediate 33/1/11 9:35:21 PM

Saxon Math Intermediate 3 Standards SuccessOverviewCommon Core State Standards and the Saxon Math PedagogyThe Saxon Math philosophy stresses that incremental and integrated instruction, withthe opportunity to practice and internalize concepts, leads to successful mathematicsunderstanding. This pedagogy aligns with the requirements of the Common Core StateStandards, which emphasize that, in each grade, students will be instructed to masteryin specified math concepts that serve as a basis for future learning. For example, inGrade 3 students develop fluency in multiplication and division, as well as a greaterunderstanding of fractions, that can be carried forward to succeeding grades. Havingestablished this solid foundation, the students will have the necessary tools (speed,accuracy, and confidence in their ability) to tackle increasingly complex problem solving.The requisites featured in the Mathematical Practices are incorporated throughout theSaxon lessons and activities. For example, students are asked to share ideas and to thinkcritically, to look for patterns, and to make connections in mathematical reasoning.What Saxon Math Intermediate 3 Standards Success ProvidesSaxon Math Intermediate 3 Standards Success is a companion to Saxon MathIntermediate 3. The first section, the Table of Contents, lists the Common Core focusof each lesson. The second section, Correlation of Saxon Math Intermediate 3 to theCommon Core State Standards for Mathematics Grade 3, demonstrates the depth ofcoverage provided by the Saxon Math Intermediate 3 program. The remaining sections,Lesson Extension Activities and Extension Tests, provide additional reinforcement forselected Common Core standards.Saxon Math Intermediate 3 Table of ContentsThe Intermediate 3 Table of Contents lists the primary Common Core domain and clusteraddressed in the New Concept of each lesson and that section’s Investigation. Somelessons focus on a Mathematical Practice, such as a problem-solving technique. Theprimary Common Core State Standards focuses in the Power Up and Problem Solvingactivities of the ten lessons are listed on a chart at the bottom of each page of the Tableof Contents.Correlation of Saxon Math Intermediate 3 to the Common Core State Standards forMathematics Grade 3The correlation lists the specific Saxon Math Intermediate 3 components addressingeach standard. This correlation is divided into three sections: Power Up (includingPower Up and Problem Solving), Lessons (including New Concepts, Investigations, andWritten Practices), and Other (including Calculator Activities, Performance Tasks, andTest Day Activities).Lesson Extension Activities and Extension TestsLesson Extension Activities (with Activity Masters on the back) and Extension Testsare listed in the Table of Contents where they are intended to be used. These additionalactivities further address and reinforce the Common Core standards. Lesson ExtensionActivities, Activity Masters, and Extension Tests begin on page 19 of this book.Saxon Math Intermediate 3 I3 MNLAEAN628141 FM.indd 1 HMH Supplemental Publishers Inc.i3/1/11 9:35:21 PM

Domains, Clusters, and Mathematical Practices for Grade 3The Common Core State Standards are separated into domains, which are dividedinto clusters.Grade 3 Domains and ClustersLarge groups of connected standards are referred to as domains. In Grade 3 there are fivedomains. Groups of related standards within a domain are referred to as clusters.3.OA–Operations and Algebraic Thinking1st cluster: Represent and solve problems involving multiplication and division.2nd cluster: Understand properties of multiplication and the relationship betweenmultiplication and division.3rd cluster: Multiply and divide within 100.4th cluster: Solve problems involving the four operations, and identify and explainpatterns in arithmetic.3.NBT–Number and Operations in Base Ten1st cluster: Use place value understanding and properties of operations to performmulti-digit arithmetic.3.NF–Number and Operations—Fractions1st cluster: Develop understanding of fractions as numbers.3.MD–Measurement and Data1st cluster: Solve problems involving measurement and estimation of intervals oftime, liquid volumes, and masses of objects.2nd cluster: Represent and interpret data.3rd cluster: Geometric measurement: understand concepts of area and relate area tomultiplication and to addition.4th cluster: Geometric measurement: recognize perimeter as an attribute of planefigures and distinguish between linear and area measures.3.G–Geometry1st cluster:Reason with shapes and their attributes.Mathematical PracticesThe Standards for Mathematical Practice list the following essential competencies thatstudents will develop throughout their mathematics 12.MP.7CC.K–12.MP.8Make sense of problems and persevere in solving them.Reason abstractly and quantitatively.Construct viable arguments and critique the reasoning of others.Model with mathematics.Use appropriate tools strategically.Attend to precision.Look for and make use of structure.Look for and express regularity in repeated reasoning.For the full text of the Common Core State Standards and a comprehensive correlation,including Mathematical Practices, see the Correlation of Saxon Math Intermediate 3 to theCommon Core State Standards for Mathematics Grade 3 on pages 13–18.ii I3 MNLAEAN628141 FM.indd 2 HMH Supplemental Publishers Inc.Saxon Math Intermediate 33/1/11 9:35:21 PM

Intermediate 3Ta b l e o f C o n t e n t sSection 1 Lessons 1–10, Investigation 1Common CoreState StandardsFocus of LessonLessonProblem Solving OverviewCC.K–12.MP.11 Months and Years CalendarCC.K–12.MP.52 Counting PatternsCC.3.OA (4th cluster)3 Reading a Clock to the Nearest Five MinutesCC.3.MD (1st cluster)4 Number Line Thermometer5 Fractions of an HourCC.3.MD (1st cluster)6 AdditionCC.3.NBT (1st cluster)7 SubtractionCC.3.NBT (1st cluster)8 Addition and Subtraction Fact FamiliesCC.3.NBT (1st cluster)9 Unknown AddendsCC.3.OA (4th cluster)10 Adding Three NumbersCC.3.NBT (1st cluster) Pictographs and Bar GraphsCC.3.MD (2nd cluster)Inv. 1CC.K–12.MP.4Cumulative AssessmentThe following table shows a CCSS (Common Core State Standards) focus of the Power Up (PU) andthe Problem Solving (PS) activities, which appear at the beginning of each lesson.CCSS PSPSPUPUPUPUPUPUCC.K–12.MP.4PSCC.3.OA (4th cluster)CC.3.MD (1st cluster)PUPUPUPUPUCorrelation references are read as follows: CC indicates Common Core, the number following isthe grade, the letters indicate the domain, and the cluster indicates the particular group of relatedstandards. Mathematical Practices are described in the same way for all grades K–12.MP Mathematical Practices OA Operations and Algebraic Thinking NBT Number and Operations in Base TenNF Number and Operations—Fractions MD Measurement and Data G GeometrySaxon Math Intermediate 3 I3 MNLAEAN628141 STOC.indd 1 HMH Supplemental Publishers Inc.13/1/11 9:29:58 PM

Section 2 Lessons 11–20, Investigation 2LessonCCSS Focus of Lesson11 Place ValueCC.K–12.MP.712 Reading and Writing Numbers Through 999CC.K–12.MP.713 Adding Two-Digit NumbersCC.3.NBT (1st cluster)14 Subtracting Two-Digit NumbersCC.3.NBT (1st cluster)15 Rounding to the Nearest Ten and HundredCC.3.NBT (1st cluster)Cumulative Assessment16 Adding Three-Digit Numbers17 Comparing and Ordering, Part 118 Some and Some More Stories, Part 1CC.3.OA (4th cluster)19 Subtracting Three-Digit Numbers, Part 1CC.3.NBT (1st cluster)20 Some Went Away Stories, Part 1CC.3.OA (4th cluster) Working with MoneyCC.3.NBT (1st cluster)Inv. 2CC.3.NBT (1st cluster)CC.K–12.MP.5Cumulative AssessmentThe following table shows a CCSS focus of the Power Up (PU) and the Problem Solving (PS)activities, which appear at the beginning of each lesson.CCSS C.K–12.MP.6CC.K–12.MP.7PSPSCC.3.OA (4th cluster)PUCC.3.NBT (1st cluster)PUPUPUPUPUPUPUPUPUPUCC.3.MD (1st cluster)PUPUPUPUPUPUPUPUPUPU2 I3 MNLAEAN628141 STOC.indd 2 HMH Supplemental Publishers Inc.Saxon Math Intermediate 33/1/11 9:30:01 PM

Section 3 Lessons 21–30, Investigation 3LessonCCSS Focus of Lesson21 Naming Dollars and Cents Exchanging Dollars, Dimes, and PenniesCC.K–12.MP.422 Adding Dollars and CentsCC.K–12.MP.523 Subtracting Three-Digit Numbers, Part 2CC.3.NBT (1st cluster)24 Column AdditionCC.3.NBT (1st cluster)25 Counting Dollars and CentsCC.K–12.MP.4Cumulative Assessment26 Subtracting Dollars and CentsCC.K–12.MP.527 Comparing and Ordering, Part 2CC.K–12.MP.728 Subtracting Across Zeros29 Fractions of a Dollar30 Estimating Sums and DifferencesCC.3.NBT (1st cluster) More About PictographsCC.3.MD (2nd cluster)Inv. 3CC.3.NBT (1st cluster)CC.3.NF (1st cluster)Cumulative AssessmentThe following table shows a CCSS focus of the Power Up (PU) and the Problem Solving (PS)activities, which appear at the beginning of each lesson.CCSS OA (4th cluster)PUCC.3.NBT (1st cluster)PUCC.3.MD (1st cluster)PUPSPUPUPUPUPUPUPUPUPUPUMP Mathematical Practices OA Operations and Algebraic Thinking NBT Number and Operations in Base TenNF Number and Operations—Fractions MD Measurement and Data G GeometrySaxon Math Intermediate 3 I3 MNLAEAN628141 STOC.indd 3 HMH Supplemental Publishers Inc.33/1/11 9:30:04 PM

Section 4 Lessons 31–40, Investigation 4LessonCCSS Focus of Lesson31 Writing DirectionsCC.K–12.MP.632 Reading and Writing Numbers Through 999,999CC.K–12.MP.733 More About Number LinesCC.K–12.MP.434 Length: Inches, Feet, and YardsCC.3.MD (2nd cluster)35 Measuring to the Nearest Quarter InchLesson Extension Activity 1 (p 19): Making a Line Plot to Show Measurement DataCC.3.MD (2nd cluster)Cumulative Assessment36 Some and Some More Stories, Part 2CC.3.OA (4th cluster)37 Estimating Lengths and DistancesCC.3.MD (2nd cluster)38 Reading a Clock to the Nearest MinuteLesson Extension Activity 2 (p 21): Measuring Time IntervalsCC.3.MD (1st cluster)39 Stories About ComparingCC.3.OA (4th cluster)40 Missing Numbers in Subtraction Some Went Away Stories, Part 2CC.3.OA (4th cluster)Inv. 4 Scale MapsCC.K–12.MP.5Cumulative AssessmentThe following table shows a CCSS focus of the Power Up (PU) and the Problem Solving (PS)activities, which appear at the beginning of each lesson.CCSS SPSPSPSPSPSPSPUPUPUPUPUPUCC.3.OA (4th cluster)CC.3.NBT (1st cluster)CC.3.MD (1st cluster)4 I3 MNLAEAN628141 STOC.indd 4PUPUPUPUPUPUPUPU HMH Supplemental Publishers Inc.PUSaxon Math Intermediate 33/1/11 9:30:07 PM

Section 5 Lessons 41–50, Investigation 5LessonCCSS Focus of Lesson41 Modeling FractionsCC.3.NF (1st cluster)42 Drawing FractionsCC.3.NF (1st cluster)43 Comparing Fractions, Part 1CC.3.NF (1st cluster)44 Fractions of a GroupCC.K–12.MP.345 Probability, Part 1CC.K–12.MP.3Cumulative AssessmentExtension Test 146 Fractions Equal to 1 Mixed NumbersCC.3.NF (1st cluster)47 Equivalent FractionsCC.3.NF (1st cluster)48 Finding Fractions and Mixed Numbers on a Number LineCC.3.NF (1st cluster)49 Comparing Fractions, Part 2CC.3.NF (1st cluster)50 Probability, Part 2CC.K–12.MP.3Inv. 5 Probability GamesCC.K–12.MP.3Cumulative AssessmentThe following table shows a CCSS focus of the Power Up (PU) and the Problem Solving (PS)activities, which appear at the beginning of each lesson.CCSS OA (4th cluster)PUCC.3.NBT (1st cluster)PUCC.3.MD (1st cluster)PUPUPUPUPUPUPUPUPUMP Mathematical Practices OA Operations and Algebraic Thinking NBT Number and Operations in Base TenNF Number and Operations—Fractions MD Measurement and Data G GeometrySaxon Math Intermediate 3 I3 MNLAEAN628141 STOC.indd 5 HMH Supplemental Publishers Inc.53/1/11 9:30:09 PM

Section 6 Lessons 51–60, Investigation 6LessonCCSS Focus of Lesson51 Rectangles52 Length and WidthCC.3.MD (2nd cluster)53 Rectangular Grid PatternsCC.3.MD (3rd cluster)54 Multiplication as Repeated AdditionCC.3.OA (1st cluster)55 Multiplication TableCC.3.OA (2nd cluster)CC.3.G (1st cluster)Cumulative AssessmentExtension Test 256 Multiplication Facts: 0s, 1s, and 10sCC.3.OA (2nd cluster)57 ArraysCC.3.OA (1st cluster)58 PerimeterCC.3.MD (4th cluster)59 Multiplication Facts: 2s and 5sCC.3.OA (3rd cluster)60 Equal Groups Stories, Part 1CC.3.OA (1st cluster) More About Bar GraphsCC.3.MD (2nd cluster)Inv. 6Cumulative AssessmentThe following table shows a CCSS focus of the Power Up (PU) and the Problem Solving (PS)activities, which appear at the beginning of each lesson.CCSS 12.MP.4PSCC.K–12.MP.7PSPSCC.3.OA (1st cluster)PSCC.3.OA (3rd cluster)CC.3.OA (4th cluster)PUPUPUPUI3 MNLAEAN62814

Saxon Math Intermediate 3 Standards Success is a companion to Saxon Math Intermediate 3. The first section, the Table of Contents, lists the Common Core focus of each lesson. The second section, Correlation of Saxon Math Intermediate 3 to the Common Core State Standards for Mathematics Grade 3, demonstrates the depth of

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