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2 nd Grade – Math – Singapore Ch 1 – 4 DAYS, Ch 2 - 3 DAYS, Ch 3 – 2 DAYS, R 1-2 DAYS Learner Goals: Singapore Page Citations Use place-value models to represent numbers to 1000. TB-A: Unit 1, Ch 1, 8- 12 WB-A: 7-14 TB-A: Unit 1, Ch 2, 13- 19 WB-A: 15-23 EP: 5-8 EP: 9-12 Read, write in words, standard, and expanded notation, identify place values of digits, and compare and order numbers within 1000. Describe and extend regular number patterns within 1000. Compare numbers within 1000 and use the symbols <, +, >. TB-A: Unit 1, Ch 3, 20- 22 WB-A: 24-27 EP: 13-14 Solve problems involving numeric equations or inequalities. Select appropriate operational symbol to make an expression true. Vocabulary digits ones place place tens place hundreds hundreds place one thousand value greater than less than symbol decompose place value standard form base ten compare expanded form expanded NUMBERS TO 1000 Suggested Literature The King’s Commissioners by Ailees Friedman Arctic Fives Arrive by Elinor J. Pinczes Materials Base-10 blocks Drinking straws and tape(or Connect-a-Cubes, paper clips, craft sticks and rubber bands) Number cubes Hundreds chart Base-10 material that can be displayed Place value chart Number discs Pennies, dimes, dollar bills, ten-dollar bills Appendix pages o 1.1b-1 1.1b-2

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Page 1: images.pcmac.orgimages.pcmac.org/SiSFiles/Schools/NV/WhitePine/Norma…  · Web viewUse addition and subtraction within 100 to solve one- and two-step word problems involving situations

2nd Grade – Math – Singapore Ch 1 – 4 DAYS, Ch 2 - 3 DAYS, Ch 3 – 2 DAYS, R 1-2 DAYS

Learner Goals: Singapore Page CitationsUse place-value models to represent numbers to 1000. TB-A: Unit 1, Ch 1, 8-12

WB-A: 7-14TB-A: Unit 1, Ch 2, 13-19WB-A: 15-23

EP: 5-8

EP: 9-12Read, write in words, standard, and expanded notation, identify place values of digits, and compare and order numbers within 1000.Describe and extend regular number patterns within 1000.Compare numbers within 1000 and use the symbols <, +, >. TB-A: Unit 1, Ch 3, 20-22

WB-A: 24-27EP: 13-14

Solve problems involving numeric equations or inequalities.Select appropriate operational symbol to make an expression true.

Vocabularydigits ones place place tens placehundreds hundreds place one thousandvalue greater than less than symboldecompose place value standard form base tencompare expanded form expanded notationskip-count numeral compose

Grade 3 Learner Goals: Use place-value models to represent numbers to 10,000. Read, write in words, standard, and expanded notation, identify place

values of digits, and compare and order numbers within 10,000.

NUMBERS TO 1000

Suggested LiteratureThe King’s Commissioners by Ailees FriedmanArctic Fives Arrive by Elinor J. PinczesA Fair Bear Share by Stuart J. MurphyJust Enough Carrots by Stuart J. MurphyMath All Around Reader: Numbers on the Street

Grade 1 Learner Goals: Count objects in a set, read and write numerals to 10. Read, write in words, standard, and expanded notation, and identify

place values of digits for numbers within 100.

Materials Base-10 blocks Drinking straws and tape(or Connect-a-Cubes, paper clips, craft sticks and

rubber bands) Number cubes Hundreds chart Base-10 material that can be displayed Place value chart Number discs Pennies, dimes, dollar bills, ten-dollar bills Appendix pages

o 1.1b-1 1.1b-2o 1.1d-1 1.1d-2o 1.2co 1.3bo 1.r

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2nd Grade – Math – Singapore Ch 1 – 5 DAYS

Grade 3 Learner Goals: Use place-value models to represent numbers to 10,000. Read, write in words, standard, and expanded notation, identify place

values of digits, and compare and order numbers within 10,000.

Grade 1 Learner Goals: Count objects in a set, read and write numerals to 10. Read, write in words, standard, and expanded notation, and identify

place values of digits for numbers within 100.

ADDITION AND SUBTRACTIONCh 1 – Meanings of Add/Sub

Page 3: images.pcmac.orgimages.pcmac.org/SiSFiles/Schools/NV/WhitePine/Norma…  · Web viewUse addition and subtraction within 100 to solve one- and two-step word problems involving situations

Learner Goals: Singapore Page CitationsUnderstand the meaning of addition (missing whole, putting together, counting on, and simple addition stories).

TB-A: Unit 2, 24-30WB-A: 31-37

EP: 23-26

Understand the meaning of subtraction (missing part, taking away, counting back, and simple subtraction stories).Use inverse relationship between addition and subtraction.Compare numbers by using subtraction to find the difference. TB-A: Unit 2, 27

WB-A: 32-33Use the commutative and associative properties to perform mental calculations and check results.

TB-A: Unit 2, 28-29, 25-26WB-A: 34-35

EP: 23-24EP: 25-26

Mentally add/Subtract numbers within 100.Mentally add/Subtract 1's, 10's, or 100's to numbers within 1000.Write equations and solve one-step word problems involving addition/subtraction.

TB-A: Unit 2, 29-30WB-A: 36-37

Operations and Algebraic Thinking 2.OARepresent and solve problems involving addition and subtraction. 1. Use addition and subtraction within 100 to solve one- and two-step word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem. Add and subtract within 20.2. Fluently add and subtract within 20 using mental strategies. By end of Grade 2,

Vocabularyequation number bond part wholecompare difference less than more thanadd/addition decompose hundreds tensones subtract subtraction composeaddends column equal(s) equationsum number sentence row solve

Teacher NotesSuggested Literature

Elevator Magic by Stuart J. Murphy12 Ways to Get to 11 by Eve MerriamAnimals on Board by Stuart J. MurphyMath All Around Reader: Numbers on the Street

Grade 1 Learner Goals: Understand number bonds and part-whole concept. Understand the meaning of addition (missing whole, putting

together, counting on, and simple addition stories). Understand the meaning of subtraction (missing part, taking

away, counting back, and simple subtraction stories). Add/Subtract numbers within 20.

Materials Objects, such as unit-cubes or counters that can be displayed Place value charts Number discs Base-10 blocks Appendix pages

o 2.1e-1 2.1e-2

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2nd Strde – Math – Singapore Ch 2 – 2 DAYS. Ch 3 – 3 DAYS

Learner Goals: Singapore Page Citations

Operations and Algebraic Thinking 2.OARepresent and solve problems involving addition and subtraction. 1. Use addition and subtraction within 100 to solve one- and two-step word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem. Add and subtract within 20.2. Fluently add and subtract within 20 using mental strategies. By end of Grade 2,

Grade 3 Learner Goals: Add/Subtract numbers within 10,000. Use estimation to verify the reasonableness of calculated

results in addition and subtraction, check subtraction problems using addition.

Count on and back in steps of 1, 10, 100, and 1000 and complete or extend regular number patterns within 10,000.

Round numbers within 100,000 to the nearest 10 or 100. Round numbers within 10,000 to the nearest 10, 100, or 1000. Use the commutative and associative properties to perform

mental calculations and check results. Mentally add/Subtract numbers within 100. Mentally add/Subtract 1's, 10's, or 100's to numbers within

1000. Solve 2-step word problems which involve the four operations

on whole numbers.

Grade 1 Learner Goals: Understand number bonds and part-whole concept. Understand the meaning of addition (missing whole, putting

together, counting on, and simple addition stories). Understand the meaning of subtraction (missing part, taking

away, counting back, and simple subtraction stories). Add/Subtract numbers within 20.

ADDITION AND SUBTRACTIONChs 2/3 –Add/Sub Without Renaming

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Add/Subtract numbers within 1000. TB-A: Unit 2, Ch 2, 32-34WB-A: 38-41

TB-A: Unit 2, Ch 3, 35-38WB-A: 42-45

EP: 27-28

EP: 29-32

Use inverse relationship between addition and subtraction.Use the commutative and associative properties to perform mental calculations and check results.Write equations and solve one-step word problems involving addition/subtraction.

Operations and Algebraic Thinking 2.OARepresent and solve problems involving addition and subtraction. 1. Use addition and subtraction within 100 to solve one- and two-step word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem. Add and subtract within 20.2. Fluently add and subtract within 20 using mental strategies. By end of Grade 2,

Vocabularyequation number bond part wholecompare difference less than more thanadd/addition decompose hundreds tensones subtract subtraction composeaddends column equal(s) equationsum number sentence row minuendsubtrahend solve

Teacher Notes

Suggested LiteratureElevator Magic by Stuart J. Murphy12 Ways to Get to 11 by Eve MerriamAnimals on Board by Stuart J. MurphyMath All Around Reader: Numbers on the Street

Grade 1 Learner Goals: Add/Subtract numbers within 20. Use inverse relationship between addition and subtraction. Learn addition and subtraction facts within 20. Compare numbers by using subtraction to find the difference. Add/Subtract numbers within 100. Find the sum of three 1-digit numbers. Use the commutative and associative properties to perform

Materials Place value charts Number discs

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2nd Grade – Math – Singapore Ch 4 – 6 DAYS. Ch 5 – 7 DAYS, Review 1-2 DAYS

Learner Goals: Singapore Page Citations

Operations and Algebraic Thinking 2.OARepresent and solve problems involving addition and subtraction. 1. Use addition and subtraction within 100 to solve one- and two-step word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem. Add and subtract within 20.2. Fluently add and subtract within 20 using mental strategies. By end of Grade 2,

Grade 1 Learner Goals: Add/Subtract numbers within 20. Use inverse relationship between addition and subtraction. Learn addition and subtraction facts within 20. Compare numbers by using subtraction to find the difference. Add/Subtract numbers within 100. Find the sum of three 1-digit numbers. Use the commutative and associative properties to perform

ADDITION AND SUBTRACTIONChs 4/5 –Add/Sub With Renaming

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Add/Subtract numbers within 1000. TB-A: Unit 2, Ch 4, 40-46WB-A: 46-56TB-A: Unit 2, Ch 5, 47-56WB-A: 57-68

EP: 33-34EP: 35-36EP: 37-38EP: 39-40

Use inverse relationship between addition and subtraction.Use the commutative and associative properties to perform mental calculations and check results.Mentally add/Subtract 1's, 10's, or 100's to numbers within 1000. TB-A: Unit 2, Ch 4, 40, Ch 5, 48

WB-A: 46Write equations and solve one-step word problems involving addition/subtraction.

throughout

Solve problems involving numeric equations or inequalities.Use boxes and other symbols to stand for unknown numbers in expressions and equations.

Operations and Algebraic Thinking 2.OARepresent and solve problems involving addition and subtraction. 1. Use addition and subtraction within 100 to solve one- and two-step word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem. Add and subtract within 20.2. Fluently add and subtract within 20 using mental strategies. By end of Grade 2, know from memory all sums of two one-digit numbers.Number and Operations in Base Ten 2.NBT

Suggested LiteratureElevator Magic by Stuart J. Murphy12 Ways to Get to 11 by Eve MerriamAnimals on Board by Stuart J. MurphyMath All Around Reader: Numbers on the Street

Grade 1 Learner Goals: Add/Subtract numbers within 20. Use inverse relationship between addition and subtraction. Learn addition and subtraction facts within 20. Compare numbers by using subtraction to find the difference. Add/Subtract numbers within 100. Find the sum of three 1-digit numbers. Use the commutative and associative properties to perform

mental calculations and check results.

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2nd grade – Math – Singapore Ch 1-1 DAY, Ch 2-1 DAY, Ch 3-2 DAYS, Ch 4-1 DAY, Ch 5-1 DAY, R 1-2 DAYS

Learner Goals: Singapore Page CitationsCompare and measure length, and weight using nonstandard units. TB-A: Unit 3, Ch 1, 59-60

WB-A: 72EP: 45-46

Measure and estimate length of objects in meters and centimeters, yards, feet, and inches.

TB-A: Unit 3, Ch 2-5, 61-75WB-A: 73-82

EP: 47-48EP: 49-50

Operations and Algebraic Thinking 2.OARepresent and solve problems involving addition and subtraction. 1. Use addition and subtraction within 100 to solve one- and two-step word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem. Add and subtract within 20.2. Fluently add and subtract within 20 using mental strategies. By end of Grade 2, know from memory all sums of two one-digit numbers.Number and Operations in Base Ten 2.NBT

Grade 3 Learner Goals: Add/Subtract numbers within 10,000. Use estimation to verify the reasonableness of calculated results

in addition and subtraction, check subtraction problems using addition.

Count on and back in steps of 1, 10, 100, and 1000 and complete or extend regular number patterns within 10,000.

Round numbers within 100,000 to the nearest 10 or 100. Round numbers within 10,000 to the nearest 10, 100, or 1000. Use the commutative and associative properties to perform

mental calculations and check results. Mentally add/Subtract numbers within 100. Mentally add/Subtract 1's, 10's, or 100's to numbers within

1000. Solve 2-step word problems which involve the four operations

on whole numbers.

Teacher Notes

Grade 1 Learner Goals: Add/Subtract numbers within 20. Use inverse relationship between addition and subtraction. Learn addition and subtraction facts within 20. Compare numbers by using subtraction to find the difference. Add/Subtract numbers within 100. Find the sum of three 1-digit numbers. Use the commutative and associative properties to perform

mental calculations and check results.

LENGTH

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EP: 51-52EP: 53-54

Compare measurements made using different units.

Measurement and Data 2.MDMeasure and estimate lengths in standard units.1. Measure the length of an object by selecting and using appropriate tools such as rulers, yardsticks, meter sticks, and measuring tapes. 2. Measure the length of an object twice, using length units of different lengths for the two measurements; describe how the two measurements relate to the size of the unit chosen. 3. Estimate lengths using units of inches, feet, centimeters, and meters. 4. Measure to determine how much longer one object is than another, expressing the length difference in terms of a standard length unit. Relate addition and subtraction to length.5. Use addition and subtraction within 100 to solve word problems involving lengths that are given in the same units, e.g., by using drawings (such as drawings of rulers) and equations with a symbol for the unknown number to represent the problem. Represent and interpret data.9. Generate measurement data by measuring lengths of several objects to the nearest whole unit, or by making repeated measurements of the same object. Show the measurements by making a line plot, where the horizontal scale is marked off inwhole-number units.

Vocabularyabout compare height highlength long measure widewidth meter standard units of measurementcentimeter measuring tape feetfoot Ft yard inchestimate

Grade 2 Learner Goals: Measure and estimate length of objects in meters and

centimeters, yards, feet, and inches. Understand and estimate length in kilometers and miles. Add/subtract measurements in compound units.

Suggested LiteratureJim and the Beanstalk by Raymond BriggsHow Big is a Foot? by Rolf MyllerMath All Around Reader: Measuring at Home

Grade 1 Learner Goals: Compare and measure length and weight by making direct comparisons

with reference objects. Compare and measure length, and weight using nonstandard units.

Materials Ribbon Paper clips, two sizes Meter sticks and yard sticks String Cardboard strips marked in cm 1-foot long cardboard strips 1-yard long ribbon or string Rulers Unmarked strait-edge (1-foot) Ribbons cut to lengths less than 100 cm, various lengths Centimeter cubes Measuring tape Appendix pages

o 3.3a 3.3bo 3.r

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2nd Grade – Math – Singapore Ch 1 - 2 DAYS, Ch 2 - 1 DAY, Ch 3 – 1 DAY, R – 1-2 DAYS

Learner Goals: Singapore Page CitationsCompare and measure length, and weight using nonstandard units. TB-A: Unit 4, 76-89

WB-A: 83-91EP: 59-60EP: 61-62EP: 63-64

Measure and estimate weight in kilograms, grams, pounds, and ounces.

Compare measurements made using different units.

Teacher Notes

WEIGHT

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2nd Grade – Math – Singapore CH 1 - 4 DAYS, Ch 2 - 4 DAYS, R – 1-2 DAYS

Learner Goals: Singapore Page CitationsUse the commutative and associative properties to perform mental calculations and check results.

TB-A: Unit 5, Ch 1, 90-91WB-A: 92-93

Use repeated addition and arrays to solve multiplication problems within 40. TB-A: Unit 5, Ch 1, 92WB-A: 94-97

Measurement and Data 2.MDMeasure lengths indirectly and by iterating length units.

Vocabularykilogram weighs weight scalegram ounce pound

Grade 3 Learner Goals: Measure and estimate weight in kilograms, grams, pounds, and ounces. Add/subtract measurements in compound units.

Teacher Notes

Suggested LiteratureMath All Around Reader: Measuring at Home

Grade 1 Learner Goals: Compare and measure length and weight by making direct comparisons

with reference objects. Compare and measure length, and weight using nonstandard units.

Materials Balances Kilogram, pound, and ounce weights Dried beans or rice Resealable bags Items to weigh Various weighing scales 20, 50, and 100 gram weights Electronic scale Kitchen scale Unit cubes and thousand cubes from base-10 set Appendix pages

o 4.2ao 4.r

MULTIPLICATION AND DIVISION

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Use sharing and grouping to divide. TB-A: Unit 5, Ch 2, 94-98WB-A: 100-105

Relate division to multiplication. throughout Chapter 2Write equations and solve one-step word problems involving multiplication/division.

TB-A: Unit 5, Ch 1, 93WB-A: 98-99TB-A: Unit 5, Ch 2, 99-100WB-A: 106-110

EP: 73-78

Solve problems involving numeric equations or inequalities.Use boxes and other symbols to stand for unknown numbers in expressions and equations.

Operations and Algebraic Thinking 2.OAWork with equal groups of objects to gain foundations for multiplication.4. Use addition to find the total number of objects arranged in rectangular arrays with up to 5 rows and up to 5 columns; write an equation to express the total as a sum of equal addends.

Vocabularyequal groups times column rowshared equally division left-over dividegroup (verb) array

Teacher Notes

Suggested LiteratureMath All Around Reader: Multiplication on the Farm

Grade 1 Learner Goals: Use repeated addition and arrays to solve multiplication

problems within 40. Recognize and extend regular linear patterns. Solve simple multiplication/division problems using

objects and pictures.

Materials Appendix pages

o 5.r Connect-a Cubes Counters Stickers Number cubes Square graph paper Paper cups or plates Straws or craft sticks

Page 13: images.pcmac.orgimages.pcmac.org/SiSFiles/Schools/NV/WhitePine/Norma…  · Web viewUse addition and subtraction within 100 to solve one- and two-step word problems involving situations

2nd Grade – Math – Singapore Ch 1–5 DYS, Ch 2-6 DYS, Ch3-3 DYS, Ch4-4 DYS R–1-3 DYS

Learner Goals: Singapore Page CitationsUse the commutative and associative properties to perform mental calculations and check results.

TB-A: Unit 6, 104-127WB-A: 115-176

EP: 81-84EP: 85-90EP: 91-94EP: 95-98

Multiply/divide by 2's and 3's.Learn multiplication/division facts for 2's and 3's.

Grade 3 Learner Goals: Relate division to multiplication. Recognize and extend regular linear patterns. Understand quotient and remainder. Understand the properties of 0 and 1 in multiplication and

division. Multiply/Divide by 6's, 7's, 8's, and 9's. Learn multiplication/division facts for 6's, 7's, 8's, and 9's. Multiply numbers within 1000 by a 1-digit number. Multiply numbers within 10,000 by a 1-digit number. Divide numbers within 1000 by a 1-digit number, including

situations where there is a remainder. Divide numbers within 10,000 by a 1-digit number, including

situations where there is a remainder. Use estimation to verify the reasonableness of calculated

results in multiplication and division problems. Check division problems using multiplication. Mentally multiply and divide tens, hundreds, and thousands

by a 1-digit number. Solve 2-step word problems which involve the four operations

on whole numbers.

Teacher Notes

MULTIPLICATION TABLES OF 2 AND 3

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Recognize and extend regular linear patterns.Write equations and solve one-step word problems involving multiplication/division.

TB-A: Unit 6, 109, 114-115,118-120, 122-124WB-A: 128-129, 143-147, 150-151, 154-162

EP: 81-84EP: 85-90EP: 91-94EP: 95-98

Operations and Algebraic Thinking 2.OAWork with equal groups of objects to gain foundations for multiplication.3. Determine whether a group of objects (up to 20) has an odd or even number of members, e.g., by pairing objects or counting them by 2s; write an equation to express an even number as a sum of two equal addends.

Vocabularydoubling false true factpattern

Teacher Notes

Suggested LiteratureMath All Around Readers: Multiplication on the Farm, Patterns in Nature

Grade 1 Learner Goals: Use repeated addition and arrays to solve multiplication

problems within 40. Recognize and extend regular linear patterns. Solve simple multiplication/division problems using

objects and pictures.

Materials Appendix pages

o 6.1do 6.2do 6.2fo 6.3bo 6.4b-1 6.4b-2o 6.4d-1 6.4d-2 6.4d-3o 6.r

Dot stickers 4” by 6” index cards Hundreds board Counters Connect-a-Cubes Number strips Number cards Fact cards Number cubes

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2nd Grade – Math – Singapore Ch 1 – 3 DAYS. Ch 2 – 3 DAYS, Ch 3 – 4 DAYS, Review 1-2 DAYS

Learner Goals: Singapore Page CitationsUse inverse relationship between addition and subtraction. throughoutUse the commutative and associative properties to perform mental calculations and check results.

Grade 3 Learner Goals: Multiply/Divide by 6's, 7's, 8's, and 9's. Learn multiplication/division facts for 6's, 7's, 8's, and 9's. Mentally multiply and divide tens, hundreds, and thousands

by a 1-digit number. Solve 2-step word problems which involve the four operations

on whole numbers.

Teacher Notes

ADDITION AND SUBTRACTIONFocus on Mental Add/Sub

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Mentally add/Subtract numbers within 100. TB-B: Unit 7, Ch 1, 8-13WB-B: 7-10

EP: 103-104Mentally subtract from 100.Mentally add/Subtract 1's, 10's, or 100's to numbers within 1000. TB-B: Unit 7, Ch 2, 14-16, Ch 3, 17-

20WB-B: 11-17, 18-25

EP: 105-106EP:107-110Mentally add/Subtract a number close to 100 (e.g. 98).

Write equations and solve one-step word problems involving addition/subtraction.

Operations and Algebraic Thinking 2.OARepresent and solve problems involving addition and subtraction.1. Use addition and subtraction within 100 to solve one- and two-step word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem. 2. Fluently add and subtract within 20 using mental strategies. By the end of Grade 2, know from memory all sums of two one-digit numbers.Number and Operations in Base Ten 2.NBT Use place value understanding and properties of operations to add and subtract.

Teacher Notes

Suggested LiteratureJust Enough Carrotsy by Stuart J. MurphyA Fair Bear Share by Stuart J. MurphyThe King’s Commissioners by Aileen FriedmanArctic Fives Arrive by Elinor J. PinczesMath All Around Reader: Numbers on the Street

Grade 1 Learner Goals: Add/Subtract numbers within 20. Use inverse relationship between addition and subtraction. Learn addition and subtraction facts within 20. Compare numbers by using subtraction to find the difference. Add/Subtract numbers within 100. Find the sum of three 1-digit numbers. Use the commutative and associative properties to perform

mental calculations and check results.

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2nd Grade – Math – Singapore Ch 1 - 3 DAYS, Ch 2 - 3 DAYS, Ch 3 – 4 DAYS, Ch 4 – 2 DAYS, R – 1-2 DAYS

Learner Goals: Singapore Page CitationsUse the commutative and associative properties to perform mental calculations and check results.

TB-B: Unit 8, 24-37WB-B: 30-54Ch 1 Multiplying and Dividing by 4Ch 2 Multiplying and Dividing by 5Ch 3 Multiplying and Dividing by 10

EP: 115-122

Relate division to multiplication.Recognize and extend regular linear patterns.Multiply/divide by 4's, 5's, and 10's.

Operations and Algebraic Thinking 2.OARepresent and solve problems involving addition and subtraction.1. Use addition and subtraction within 100 to solve one- and two-step word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem. 2. Fluently add and subtract within 20 using mental strategies. By the end of Grade 2, know from memory all sums of two one-digit numbers.Number and Operations in Base Ten 2.NBT Use place value understanding and properties of operations to add and subtract.

Grade 1 Learner Goals: Add/Subtract numbers within 20. Use inverse relationship between addition and subtraction. Learn addition and subtraction facts within 20. Compare numbers by using subtraction to find the difference. Add/Subtract numbers within 100. Find the sum of three 1-digit numbers. Use the commutative and associative properties to perform

mental calculations and check results.

MULTIPLICATION AND DIVISION Pt 2

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Learn multiplication/division facts for 4's, 5's, and 10's.Use repeated subtraction to divide and find the remainder. TB-B: Unit 8, Ch 4, 38-40

WB-B: 55-56EP: 123-124

Write equations and solve one-step word problems involving multiplication/division.

throughout

Number and Operations in Base Ten 2.NBTUnderstand place value.2. Count within 1000; skip-count by 5s, 10s, and 100s.

Vocabularycount by 4’s count by 5’s count by 10’smultiplication table of 4 multiplication table of 5multiplication table of 10 left over remaining

Teacher Notes

Suggested LiteratureMath All Around Reader: Division with Toys

Grade 1 Learner Goals: Use repeated addition and arrays to solve multiplication

problems within 40. Recognize and extend regular linear patterns. Solve simple multiplication/division problems using

objects and pictures.

Materials Appendix pages

o 8.r Set of 40 blocks Objects in multiples of 4, such as 8 pencils, 12 marbles, 16 crayons, 20 paper

clips, 24 blocks, etc. Set of 50 blocks Objects in multiples of 5, such as 10 pencils, 15 marbles, 20 crayons, 25

paper clips, 30 blocks, etc. 2 decks of cards Objects in multiples of 10, such as boxes of 10 pencils, 20 marbles, 30

crayons, 40 blocks, pack of 50 cards, etc. Set of objects, such as 22 magnets

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2nd Grade – Math – Singapore Ch 1 – 3 DAYS, Ch 2 – 2 DAYS, Ch 3 – 4 DAYS, R – 1-2 DAYS

Learner Goals: Singapore Page CitationsCount combinations of bills and coins to $10.00. TB-B: Unit 9, Ch 1, 44-49

WB-B: 61-74EP: 129-132

Use decimal notation for money. TB-B: Unit 9, Ch 2, 50-53 Ch 3, 54-59WB-B: 75-80, 81-86

EP: 133-136EP: 137-138Use decimal notation to add and subtract money within $10.00.

Grade 3 Learner Goals: Relate division to multiplication. Recognize and extend regular linear patterns. Understand quotient and remainder. Understand the properties of 0 and 1 in multiplication and

division. Multiply/Divide by 6's, 7's, 8's, and 9's. Learn multiplication/division facts for 6's, 7's, 8's, and 9's. Multiply numbers within 1000 by a 1-digit number. Multiply numbers within 10,000 by a 1-digit number. Divide numbers within 1000 by a 1-digit number, including

situations where there is a remainder. Divide numbers within 10,000 by a 1-digit number, including

situations where there is a remainder. Use estimation to verify the reasonableness of calculated

results in multiplication and division problems. Check division problems using multiplication. Mentally multiply and divide tens, hundreds, and thousands

by a 1-digit number. Solve 2-step word problems which involve the four operations

on whole numbers.

Teacher Notes

MONEY

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Add and subtract money in compound units (dollars and cents) when the cents are multiples of 5 or close to $1.00.

2nd Grade – Mtth – Singapore Ch 1 - 1 DAY, Ch 2 – 3 DAYS, Ch 3 – 2 DAYS, R – 1-2 DAYS

Learner Goals: Singapore Page CitationsRecognize and name halves and fourths. TB-B: Unit 10, Ch 1,62-63

WB-B: 92-93EP: 143-144

Recognize, write, name, and illustrate fractions of a whole (denominators 1-12).

TB-B: Unit 10, Ch 2,64-66WB-B: 94-99

Measurement and Data 2.MDWork with time and money.8. Solve word problems involving dollar bills, quarters, dimes, nickels, and pennies, using $ and ¢ symbols appropriately. Example: If you have 2 dimes and 3 pennies, how many cents do you have?

Vocabularycents altogether more than totaldollars cheaper less than dimepenny dollar ($) money cent (₵)nickel quarter

Grade 3 Learner Goals: Use decimal notation to add and subtract money within

$100.00. Multiply and divide money amounts in decimal notation. Find coin amounts as a fraction of a dollar.

Teacher Notes

Suggested LiteratureMath All Around Reader: Money at the StoreArthur’s Funny Money by Lillian HobanAlexander, Who Used to Be Rich Last Sunday by Judith Viorst

Grade 1 Learner Goals: Identify and know the value of coins and use the cent symbol. Identify and know the value of bills and use the dollar symbol. Count combinations of coins. Count combinations of bills.

Materials Appendix pages

o 9.r Bills and coins including $20, $10, $5, $1, 50₵, 25₵, 10₵, 5₵, and 1₵ Familiar items with fake price tags, such as notebooks, pens, fruit or toys

FRACTIONS

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Find the fraction with the same denominator to make a whole with another fraction.

TB-B: Unit 10, Ch 2,67WB-B: 103-104

EP: 145-150

Compare and order unit fractions. TB-B: Unit 10, Ch 2,67WB-B: 100

Recognize and name the fraction of a set. TB-B: Unit 10, Ch 3,68-73WB-B: 105-109

EP: 151-152Find the value given the fraction of a set, using objects or drawings.

Solve simple word problems involving fraction of a set.

Geometry 2.GReason with shapes and their attributes.3. Partition circles and rectangles into two, three, or four equal shares, describe the shares using the words halves, thirds, half of, a third of, etc., and describe the whole as two halves, three thirds, four fourths. Recognize that equal shares of identical wholes need not have the same shape.

Vocabularyequal parts half/halves fourths/quarterswhole one third one fifth one sixthone seventh one eighth one ninth one tenthone eleventh one twelfth fraction

Grade 3 Learner Goals: Compare and order fractions with the same denominator or

with the same numerator. Find equivalent fractions and simplest form of a fraction.

Teacher Notes

Suggested LiteratureEating Fractions by Bruce McMillanMath All Around Reader: Holiday Fractions

Grade 1 Learner Goals: Recognize and name halves and fourths.

Materials Appendix pages

o 10.r Circle papers Square papers Fraction discs/strips Connect-a-Cubes Fraction cards Fraction circle grid, square or bar Marbles/counters Colored magnets

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2nd Grade – Math – Singapore Ch 1 – 1 DAY, Ch 2 – 1 DAY, Ch 3 – 2 DAYS, Ch 4 – 1 DAY, R – 1-2 DAYS

Learner Goals: Singapore Page CitationsTell time to the nearest 5-minute mark (analog clock face). TB-B: Unit 11, Ch 1, 76-77

WB-B: 115-118TB-B: Unit 11, Ch 2, 78-79

EP: 157-158EP: 159-160Estimate reasonable time intervals.

Grade 3 Learner Goals: Compare and order fractions with the same denominator or

with the same numerator. Find equivalent fractions and simplest form of a fraction.

Teacher Notes

TIME

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WB-B: 119-121Find the duration of time intervals. TB-B: Unit 11, Ch 3, 80-83

WB-B: 122-127EP: 161-162

Find starting or ending times, given a time and the interval.Know relationships of time (years, months, days, weeks, hours, and seconds). TB-B: Unit 11, Ch 4, 84-85

WB-B: 128EP: 163-164

2nd Grade – Math – Singapore Ch 1-1 DAY, Ch 2-2 DAYS, Ch 3-2 DAYS, R – 1 DAY

Learner Goals: Singapore Page CitationsCompare and measure capacity using nonstandard units. TB-B: Unit 12, Ch 1, 88-89

WB-B: 134-138EP: 169-170

Measurement and Data 2.MDWork with time and money.7. Tell and write time from analog and digital clocks to the nearest five minutes, using a.m. and p.m

Vocabularytime minutes after (the hour)minuteminutes past (the hour) minutes to (the hour)minutes before (the hour) quarter minutes laterhours later time intervals a.m.p.m. days months yearsweeks calendar digital clock analog clockhour

Grade 3 Learner Goals: Tell time to the minute (analog clock face). Find the duration of time intervals. Find starting or ending times, given a time and the interval. Know relationships of time (years, months, days, weeks, hours,

and seconds). Convert between of units of time.

Teacher Notes

Suggested LiteratureMath All Around Reader: Measuring at Home

Grade 1 Learner Goals: Relate time to events. Tell time to the half-hour (analog clock face). Estimate time relative to the hour and half past the hour.

Materials Appendix pages

o 11.r Small analog geared clocks Large analog geared clock Year calendar

CAPACITY

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Compare measurements made using different units. TB-B: Unit 12, Ch 2, 90-94WB-B: 139-140

EP: 171-172

Measure and estimate capacity in liters, cups, pints, quarts, half-gallon, and gallon.

TB-B: Unit 12, Ch 3, 95-98WB-B: 141-142

EP: 173-176

Ask and solve questions related to data representation, including finding the range and mode.

Both chapters

2nd Grade – Math – Singapore Ch 1 - 2 DAYS, Ch 2 – 1 DAY, R – 1-2 DAYS

Learner Goals: Singapore Page Citations

Measurement and Data 2.MD none

Vocabularycompare capacity containers holds moreholds less liters estimate measurecups pints quarts half-gallongallon

Grade 3 Learner Goals: Measure and estimate capacity in liters, cups, pints, quarts, half-gallon, and

gallon. Measure and estimate capacity in milliliters. Convert units within a metric system using multiplication. Add/subtract measurements in compound units.

Teacher Notes

Suggested LiteratureMath All Around Reader: Measuring at Home

Grade 1 Learner Goals: Compare and measure capacity by making direct comparisons with

reference objects. Compare and measure capacity using nonstandard units.

Materials Three containers of different shapes but roughly the same size Large jug Colored water 1-liter beaker or measuring cup Containers (bucket, basin, kettle, watering can) Paper cups Liter beakers or measuring cups Large basin Colored liquid Measuring set with cup, pint, quart, half-gallon- and gallon-

beakers or jars Empty containers of familiar things sold by liquid

measurement, e.g., 1-gallon milk jug, quart, pint and cup milk cartons

Empty container of liquid detergent with capacity in liters

TABLES AND GRAPHS

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Represent and compare data using picture graphs. TB-B: Unit 13, Ch 1,101-106WB-B: 148-155

EP: 181-184Represent and compare data using tally charts.

Collect, organize, and analyze data using tally charts.

Represent and compare data using bar graphs. TB-B: Unit 13, Ch 2, 107-113WB-B: 156-161

EP:

Collect, organize, and analyze data using tables and bar graphs.

Ask and solve questions related to data representation, including finding the range and mode.

Both chapters

Measurement and Data 2.MDRelate addition and subtraction to length. 6. Represent whole numbers as lengths from 0 on a number line diagram with equally spaced points corresponding to the numbers 0, 1, 2, …, and represent whole-number sums and differences within 100 on a number line diagram.Represent and interpret data.10. Draw a picture graph and a bar graph (with single-unit scale) to represent a data set with up to four categories. Solve simple put-together, take-apart, and compare problems using information presented in a bar graph.

Vocabularypicture graph table tally chartbar graph range modescale number line data

Grade 3 Learner Goals: Collect, organize, and analyze data using tables and bar

graphs. Collect, organize, and analyze data using tally charts. Ask and solve questions related to data representation,

Suggested LiteratureMath All Around Reader: Graphing in the DesertTally O’Malley by Stuart J. Murphy

Grade K Learner Goals: Sort objects and data by common attributes. Represent and compare data using picture graphs. Represent and compare data bar graphs. Represent and compare data using tally charts.

Materials Magnets buttons/cutout shapes Butcher papers Markers and glue Picture graphs that were done in Lesson 1.1a Blank paper Graph paper Appendix pages

o 13.1a-1 13.1a-2 13.1a-3o 13.r

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2nd Grade – Math – Singapore Ch 1 – 2 DAYS, Ch 2 - 3 DAYS, R – 2-3 DAYS

Learner Goals: Singapore Page Citations

Grade 3 Learner Goals: Collect, organize, and analyze data using tables and bar

graphs. Collect, organize, and analyze data using tally charts. Ask and solve questions related to data representation,

Teacher Notes

Grade K Learner Goals: Sort objects and data by common attributes. Represent and compare data using picture graphs. Represent and compare data bar graphs. Represent and compare data using tally charts.

GEOMETRY

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Identify, describe, and categorize common 2-dimensional shapes, including the faces of 3-dimensional objects.

TB-B: Unit 14, Ch 1,116-118WB-B: 168-171

EP: 73-76

Identify common 2-dimensional shapes within compound shapes, combine shapes to form common shapes.

TB-B: Unit 14, Ch 2, 122-126WB-B: 174-180

EP: 77-78

Describe and classify common 3-dimensional shapes according to number and shape of faces, edges, and vertices.

TB-B: Unit 14, Ch 1,119-121WB-B: 172-173

EP: 191-192

Describe and extend repeating patterns involving color and shapes. TB-B: Unit 14, Ch 2, 127-128WB-B: 181-182

EP: 193-194Describe and extend repeating patterns involving combination of shapes (compound shapes).

Goemetry 2.GReason with shapes and their attributes.1. Recognize and draw shapes having specified attributes, such as a given number of angles or a given number of equal faces (Sizes are compared directly or visually, not compared by measuring.) Identify triangles, quadrilaterals, pentagons, hexagons, and cubes.

Vocabularyflat face curved face cone cubecylinder edge prism pyramidrectangular prism sphere vertexhalf circle quarter circle triangular prism

Grade 3 Learner Goals: Describe and classify common 3-dimensional shapes according

to number and shape of faces, edges, and vertices. Identify common 3-dimensional shapes within compound

shapes.

Suggested LiteratureThe Wing on a Flea by Ed EmberleyGive Me a Half! by Stuart J. MurphyCaptain Invincible and the Space Shapes by Stuart J. MurphyMath All Around Reader: Shapes in Transportation

Grade 1 Learner Goals: Identify, describe, and categorize common 2-dimensional shapes, including

the faces of 3-dimensional objects. Identify common 2-dimensional shapes within compound shapes, combine

shapes to form common shapes.

Materials Models of cubes, rectangular prisms, cylinders, cones, and triangular prisms Objects in the shapes of cubes, cylinders and rectangular prisms Large paper shapes of rectangles, squares, circles, and triangles Cloth to use as blindfold Models of pyramids and spheres Colored paper shapes that will fit together (the side on one shape is equal

to a side on another) Paper circles Connect-a-Cubes Geo-Shapes

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Grade 3 Learner Goals: Describe and classify common 3-dimensional shapes according

to number and shape of faces, edges, and vertices. Identify common 3-dimensional shapes within compound

shapes.

Grade 1 Learner Goals: Identify, describe, and categorize common 2-dimensional shapes, including

the faces of 3-dimensional objects. Identify common 2-dimensional shapes within compound shapes, combine

shapes to form common shapes.