Activity Workbook - Dbechtold.weebly

Activity Workbook

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CONTENTSUnit 1 Place Value andMultidigit Addition andSubtraction11Place Value to Thousands . . . . . . . . . . . 1Family LetterFAMILY LETTER2Place Value Patterns . . . . . . . . . . . . . . . 33Round Numbers . . . . . . . . . . . . . . . . . . . 54Numbers to One Million . . . . . . . . . . . . 69Subtract from Thousands . . . . . . . . . . . 7Family Letter14UNIT 3 Division with WholeNumbersFamily LetterFocus on Mathematical Practices . . . . 102Relate 3-Digit Multiplicationto Division . . . . . . . . . . . . . . . . . . . . . . 303Discuss 2-Digit and 4-DigitQuotients . . . . . . . . . . . . . . . . . . . . . . . 324Digit-by-Digit Method . . . . . . . . . . . . 34UNIT 3 TEST . . . . . . . . . . . . . . . . . 35UNIT 4 Equations and WordProblems1Unit 2 Multiplication withWhole NumbersArrays and Area Models . . . . . . . . . . . 13 Houghton Mifflin Harcourt Publishing CompanyFamily LetterFAMILY LETTERFAMILY LETTERUNIT 1 TEST . . . . . . . . . . . . . . . . . 111Divide with Remainders . . . . . . . . . . . 27FAMILY LETTERProperties and Algebraic Notation . . 37Family LetterFAMILY LETTER2Situation and Solution Equationsfor Addition and Subtraction . . . . . . . 398Solve Multistep Problems . . . . . . . . . . 4010Factors and Prime Numbers . . . . . . . . 422Connect Place Value andMultiplication . . . . . . . . . . . . . . . . . . . 153Mental Math and Multiplication . . . . 164Model One-Digit by Two-DigitMultiplication . . . . . . . . . . . . . . . . . . . 186Use Place Value to Multiply . . . . . . . . 197Algebraic Notation Method . . . . . . . . 218Compare Methods of One-Digitby Two-Digit Multiplication . . . . . . . . 222Metric Measures of Liquid Volumeand Mass . . . . . . . . . . . . . . . . . . . . . . . 50UNIT 2 TEST . . . . . . . . . . . . . . . . . 233Units of Time . . . . . . . . . . . . . . . . . . . . 535Customary Measures of Weightand Liquid Volume . . . . . . . . . . . . . . . 54UNIT 4 TEST . . . . . . . . . . . . . . . . . 43UNIT 5 Measurement1Measure Length . . . . . . . . . . . . . . . . . 47Family LetterFAMILY LETTERUNIT 5 TEST . . . . . . . . . . . . . . . . . 55contents  iii

CONTENTS (continued)UNIT 6 Fraction Concepts andOperations1UNIT 8 Geometry1Understand Fractions . . . . . . . . . . . . . 57Family LetterFAMILY LETTERPoints, Rays, and Angles . . . . . . . . . . . 93Family LetterFAMILY LETTER2Measuring Angles . . . . . . . . . . . . . . . . 992Fractions That Add to One . . . . . . . . . 603Circles and Angles . . . . . . . . . . . . . . . 1013Add and Subtract Fractionswith Like Denominators . . . . . . . . . . . 624Name Triangles . . . . . . . . . . . . . . . . . 1024Mixed Numbers and FractionsGreater Than 1 . . . . . . . . . . . . . . . . . . 657Parallel and Perpendicular Linesand Line Segments . . . . . . . . . . . . . . 1055Add and Subtract Mixed Numberswith Like Denominators . . . . . . . . . . . 676FAMILY LETTER8Classify Quadrilaterals . . . . . . . . . . . . 109Practice with Fractions andMixed Numbers . . . . . . . . . . . . . . . . . . 689Decompose Quadrilaterals andTriangles . . . . . . . . . . . . . . . . . . . . . . . 113UNIT 6 TEST . . . . . . . . . . . . . . . . . 6910Classify Polygons . . . . . . . . . . . . . . . . 11511Line Symmetry . . . . . . . . . . . . . . . . . . 117UNIT 7 Fractions and Decimals1Family LetterUNIT 8 TEST . . . . . . . . . . . . . . . . 119Compare Fractions . . . . . . . . . . . . . . . 71Family LetterFAMILY LETTER2Fractions on the Number Line . . . . . . 755Equivalent Fractions Using Division . . 767Fractions and Line Plots . . . . . . . . . . . 788Relate Fractions and Decimals . . . . . . 79Family LetterFAMILY LETTERExplore Decimal Numbers . . . . . . . . . 8211Decimals Greater Than 1 . . . . . . . . . . 85UNIT 7 TEST . . . . . . . . . . . . . . . . . 89iv contents Houghton Mifflin Harcourt Publishing Company9

Dear Family,Family LetterYour child is learning math in an innovative program called MathExpressions. In Unit 1, your child will use place value drawingsand charts to understand that the value of each place is 10 timesgreater than the value of the place to its right. This understandingis essential when comparing, rounding, or adding multidigitnumbers. Math Expressions encourages children to think about“making new groups” to help them understand place values.We call the method below “New Groups Above”. The numbersthat represent the new groups are written above the problem.1. Add the ones:2. Add the tens:5 7 12 ones12 2 ones 10 ones,and 10 ones 1 new ten.1 7 6 14 tens14 4 tens 10 tens,and 10 tens 1 new hundred.11 1 5, 1 7 5 3, 9 6 72 5, 1 7 5 3, 9 6 7423. Add the hundreds:4. Add the thousands:1 1 9 11 hundreds 11 1 hundred 10 hundreds,and 10 hundreds 1 new thousand.11 5 3 9 thousands11   1 5, 1 7 5 3, 9 6 714211 5, 1 7 5 3, 9 6 79, 1 4 2 Houghton Mifflin Harcourt Publishing CompanyWe call the following method “New Groups Below.” The stepsare the same, but the new groups are written below the addends.It is easier to see thetotals for each column(12 and 14) and addingis easier because you addthe two numbers you seeand then add the 1.1. 5, 1 7 5 3, 9 6 7123. 5, 1 7 5 3, 9 6 71   1   11 4      22. 5, 1 7 5 3, 9 6 71 14 24. 5, 1 7 5 3,9671   1   19,    1   4      2It is important that your child maintains his or her home practicewith basic multiplication and division.Sincerely,Your child’s teacherThis unit includes the Common Core Standards for Mathematical Content for Number and Operations in BaseTen and Measurement and Data, 4.NBT.1, 4.NBT.2, 4.NBT.3, 4.NBT.4, 4.MD.2 and all Mathematical Practices.Unit 1 Lesson 1Place Value to Thousands1

Estimada familia,Carta a la familiaTKSu niño está aprendiendo matemáticas mediante el programaMath Expressions. En la Unidad 1, se usarán dibujos y tablas devalor posicional para comprender que el valor de cada lugar es10 veces mayor que el valor del lugar a su derecha. Comprenderesto es esencial para comparar, redondear o sumar números devarios dígitos. Math Expressions enseña a pensar en “formargrupos nuevos” para comprender los valores posicionales.Este método se llama “Grupos nuevos arriba”. Los números querepresentan los grupos nuevos se escriben arriba del problema:1. Suma las unidades:2. Suma las decenas:5 7 12 unidades12 2 unidades 10 unidades,y 10 unidades 1 nueva decena.1 7 6 14 decenas14 4 decenas 10 decenas,y 10 decenas 1 nueva centena.11 1 5, 1 7 5 3, 9 6 723. Suma las centenas: 5, 1 7 5 3, 9 6 7424. Suma los millares:1 5 3 9 millares1 1 9 11 centenas 11 1 centenas 10 centenas,y 10 centenas 1 nuevo millar.111   1 5, 1 7 5 3, 9 6 714211 5, 1 7 5 3, 9 6 79, 1 4 2Este método se llama “Grupos nuevos abajo”. Los pasos son iguales,pero los nuevos grupos se escriben abajo de los sumandos:1. 5, 1 7 5 3, 9 6 7123. 5, 1 7 5 3, 9 6 71   1   11 4      22. 5, 1 7 5 3, 9 6 71 14 24. 5, 1 7 5 3, 9 6 71   1   19,    1   4      2Es importante que su niño siga practicando las multiplicaciones ydivisiones básicas en casa.Atentamente,El maestro de su niñoEsta unidad incluye los Common Core Standards for Mathematical Content for Number and Operations in BaseTen and Measurement and Data, 4.NBT.1, 4.NBT.2, 4.NBT.3, 4.NBT.4, 4.MD.2 and all Mathematical Practices.2Unit 1 Lesson 1Place Value to Thousands Houghton Mifflin Harcourt Publishing CompanyEs más fácil ver los totalesde cada columna(12 y 14) y es más fácilsumar porque sumas losdos números que ves, yluego sumas 1.

1-2NameDateClass Activity Houghton Mifflin Harcourt Publishing Company Whole Number Secret Code Cards1, 0 0 0 1 0 02,0 0 0 2 0 03,0 0 0 3 0 04,0 0 0 4 0 05,0 0 0 5 0 06,0 0 0 6 0 07, 0 0 0 7 0 08,0 0 0 8 0 09,0 0 0 9 0 Unit 1 Lesson 2101202303404505606707808909Whole Number Secret Code Cards3

Name1-2DateClass Activity Whole Number Secret Code Cardsten (teen)(one ten)onehundredonethousandtwotwenty(two tens)twohundredtwothousandthreethirty(three tens)threehundredthreethousandfourforty(four tens)fourhundredfourthousandfivefifty(five tens)fivehundredfivethousandsixsixty(six tens)sixhundredsixthousandsevenseventy(seven tens)sevenhundredseventhousandeighteighty(eight tens)eighthundredeightthousandnineninety(nine tens)ninehundredninethousandUnit 1 Lesson 2Whole Number Secret Code Cards Houghton Mifflin Harcourt Publishing Company4one

Name1-3DateClass Activity Summarize Rounding RulesUse these rounding frames as a visual aid when roundingto the nearest 10, 100, 1,000.Nearest 10Nearest 100Nearest ,0001,000Round to the nearest ten.1. 872. 163. 1714. 2,1655. 5,1146. 3,098 Houghton Mifflin Harcourt Publishing CompanyRound to the nearest hundred.7. 7348. 3639. 17810. 6,24911. 8,25112. 8,992Round to the nearest thousand.13. 1,27514. 8,65515.

Ten Millions Millions Hundred Thousands Ten Thousands Thousands Hundreds Tens Ones 100,000,000 10,000,000 1,000,000 100,000 10,000 1,000 100 10 1 millions thousands [ones] The Patterns to Millions chart shows that each digit in the number has a place value name. When we read a number, w