INVESTIGATION 1 Representing Multiplication with Arrays

Common CoreUnit 1

I N V E S T I G AT I O N 1

Representing Multiplication with Arrays

Day Session Common Core Adaptation Common Core Standards

1 1.1 Things That Come in Arrays

MP4, MP54.OA.3, 4.OA.4

2 1.2 Making Arrays MP4, MP5 4.OA.3, 4.OA.4

3 1.3 Making Arrays, continued MP4, MP5, MP7 4.OA.3, 4.OA.4dIScuSSION

What Do You Notice About Arrays?

Teaching NotePrime and composite Numbers to 100 Prime and composite numbers are defined in this session. Throughout the unit, look for opportunities to ask students whether numbers 1–100 are prime or composite and to explain how they know.

4 1.4 Which Combinations Do I Know?

MP7 4.OA.3, 4.OA.4

5 1.5 Using Arrays to Multiply MP7 4.OA.3, 4.OA.4

6 1.6A Multiplicative Comparison See p. CC3. MP1, MP2 4.OA.1, 4.OA.2, 4.OA.3

Mathematical Practices (MP)

domains• Operations and Algebraic Thinking (OA)Factors, Multiples, and Arrays

Instructional Plan cc1

INV12_TE04_U01.indd 1 6/14/11 1:53 PM


Multiplication CombinationsDay Session Common Core Adaptation Common Core Standards

7 2.1 Quick Images MP7 4.OA.4

8 2.2 Multiplication Cards MP7 4.OA.4

9 2.3 Multiple Turn Over MP2, MP7 4.OA.4ACTIVITY

Playing Multiple Turn Over

Teaching NotePrime and Composite Numbers in Multiple Turn Over When playing this game, students should identify and use prime and composite numbers. When observing students as they play, point to one of the dealt multiple cards and ask students whether the given number is prime or composite and how they know. Also ask if they can use this information as a strategy for playing the game. Students play Multiple Turn Over in Sessions 2.3, 2.4, and 2.5.

10 2.4 Multiplication Combinations

See the Teaching Note in Session 2.3. MP2, MP7 4.OA.4

11 2.5 Assessment: Multiplication Combinations

See the Teaching Note in Session 2.3. MP2, MP7 4.OA.4


Finding Factors Day Session Common Core Adaptation Common Core Standards

12 3.1 Factors of 100 MP1, MP2, MP74.OA.4SESSION FOLLOW-UP

Daily Practice and Homework

Daily Practice: In addition to Student Activity Book page 30, students complete Student Activity Book page 32 or C4 (Solving Multiplicative Comparison Problems) for reinforcement of the content of this unit.

13 3.2 Factors of the Multiples of 100

MP1, MP2, MP7 4.OA.1–4.OA.4

14 3.3 Factors of Related Numbers

MP1, MP2, MP3, MP7 4.OA.1, 4.OA.2, 4.OA.4

15 3.4 End-of-Unit Assessment MP1, MP2, MP7 4.OA.4

CC2 UNIT 1 Factors, Multiples, and Arrays

INV12_TE04_U01.indd 2 6/27/11 10:47 AM

Common Core


Landmarks in the DataDay Session Common Core Adaptation Common Core Standards

1 1.1 How Many Raisins in a Box?

MP1, MP6 4.NBT.4

SESSION FOl l Ow-upDaily Practice

Family l etter: Make copies of C5–C6, Family Letter, as a replacement for M1–M2, Family Letter.

2 1.2- How Tall Are Fourth Graders?

MP5, MP64.NBT.4, 4.MD.2

SESSION FOl l Ow-upDaily Practice and Homework

Family l etter: Make copies of C7–C8, Family Letter, as a replacement for M3–M4, Family Letter.

3 1.3 How Tall Are First Graders?

MP5, MP64.NBT.4, 4.MD.2

4 1.4- Comparing the Heights of Fourth and First Graders

MP3, MP5, MP64.MD.2

5 1.5 Assessment: Comparing Numbers of Cavities

MP3, MP5, MP64.MD.2


Using Data to Compare Teach this Investigation as is.

Day Session Common Core Adaptation Common Core Standards6 2.1- What Do We Want to

Find Out?MP14.NBT.4

7 2.2 Assessment: Collecting and Comparing Data

MP3, MP64.NBT.4

8 2.3 Representing Survey Data MP3, MP6

9 2.4 What Did You Learn from Your Survey?

MP34.NBT.4, 4.MD.2

10 2.5 Mystery Data MP3, MP6, MP74.NBT.4, 4.MD.2

11 2.6 Comparing WNBA Players’ Points Per Game

MP3, MP6, MP74.NBT.4

12 2.7 Is This a Good Game? MP3, MP6

Mathematical practices (MP)

Domains• Number and Operations in Base Ten (NBT)• Measurement and Data (MD)

Describing the Shape of the Data

Unit 2

CC8 uNIT 2 Describing the Shape of the Data

INV12_TE04_U02.indd 8 6/14/11 1:57 PM


Finding and Comparing ProbabilitiesDay Session Common Core Adaptation Common Core Standards

3.1 Creating a Likelihood Line Skip this session.

3.2 Numerical Measures of Probability

Skip this session.

3.3 Probability Experiments Skip this session.

3.4 Comparing Probability Experiments

Skip this session.

13 3.5 End-of-Unit Assessment Skip Problem 1 on M18–M19, End-of-Unit Assessment. MP3, MP64.NBT.4

Instructional Plan CC9

INV12_TE04_U02.indd 9 6/2/11 4:29 PM

Common Core


Breaking Apart Multiplication Problems Teach this Investigation as is.


1 1.1 Solving Multiplication Problems

MP4, MP5, MP74.OA.3, 4.NBT.5

2 1.2 Making Big Arrays MP4, MP7

3 1.3 Small Array/Big Array MP2, MP44.NBT.5

4 1.4 Small Array/Big Array, continued

MP2, MP44.OA.4, 4.NBT.5

5 1.5 Assessment: Solving 18 ∙ 7

MP2, MP44.OA.4, 4.NBT.5


Division Teach this Investigation as is.


6 2.1 Looking at Division MP1, MP2, MP54.OA.4, 4.NBT.6

7 2.2 Division with Remainders MP1, MP24.OA.3, 4.OA.4, 4.NBT.6

8 2.3 Division Stories MP1, MP2, MP34.OA.3, 4.NBT.6

9 2.4 Strategies for Division MP1, MP2, MP3, MP74.OA.3, 4.NBT.6

10 2.5 Related Multiplication and Division Problems


11 2.6 Assessment: Writing and Solving a Division Problem



Domains• Operations and Algebraic Thinking (OA)• Number and Operations in Base Ten (NBT)

Multiple Towers and Division Stories

Unit 3

CC10 UNIT 3 Multiple Towers and Division Stories

INV12_TE04_U03.indd 10 6/14/11 1:58 PM


Multiplying 10s Teach this Investigation as is.


12 3.1 Building Multiple Towers MP1, MP5, MP74.OA.1, 4.OA.2, 4.OA.4, 4.NBT.5

13 3.2 Multiplying Groups of 10 MP4, MP5, MP74.OA.1, 4.OA.2, 4.OA.4, 4.NBT.5

14 3.3 Multiplying 2-Digit Numbers

MP4, MP84.OA.1, 4.OA.2, 4.OA.4, 4.NBT.5

15 3.4 Assessment: Multiplication Combinations

MP7, MP84.OA.4, 4.NBT.5


Strategies for Multiplication Teach this Investigation as is.


16 4.1 Doubles and Halves MP7, MP84.OA.1, 4.OA.2, 4.NBT.5, 4.NBT.6

17 4.2 Multiplication Cluster Problems

MP7, MP84.NBT.5

18 4.3 Strategies for Multiplication

MP1, MP6, MP7, MP84.OA.1, 4.OA.2, 4.NBT.5

19 4.4 Strategies for Multiplication, continued


20 4.5 End-of-Unit Assessment MP1, MP2, MP64.NBT.5


INV12_TE04_U03.indd 11 6/2/11 4:33 PM

Common Core


Linear Measurement Teach this Investigation as is.


1 1.1 Measurement Benchmarks

MP54.NBT.4, 4.MD.1, 4.MD.3

2 1.2 Measurement Tools MP54.NBT.4, 4.MD.1

3 1.3 Assessment: How Long Is Our Classroom?

MP54.NBT.4, 4.MD.1, 4.MD.2, 4.MD.3

4 1.4 Measuring Length MP5, MP64.NBT.4, 4.MD.1, 4.MD.3

5 1.5 Measuring Length, continued

MP54.NBT.4, 4.MD.1, 4.MD.2, 4.MD.3


Polygons of Many TypesDay Session Common Core Adaptation Common Core Standards

6 2.1 Is It a Polygon? MP64.G.1, 4.G.2

7 2.2 Making Polygons MP64.G.1

8 2.3A Identifying Geometric Figures

See p. CC16. MP5, MP64.NBT.4, 4.MD.5.a, 4.G.1, 4.G.2

9 2.3 Sorting Polygons MP5, MP64.MD.3, 4.G.1, 4.G.2


Domains• Number and Operations in Base Ten (NBT)• Measurement and Data (MD)• Geometry (G)

Size, Shape, and Symmetry

Unit 4

CC12 UNIT 4 Size, Shape, and Symmetry

INV12_TE04_U04.indd 12 10/28/11 1:05 PM


Polygons of Many Types, continued


10 2.4 Sorting Quadrilaterals MP3, MP64.G.1, 4.G.2

MATH WORKSHOPGuess My Rule with Quadrilaterals

Teaching NoteParallel and Perpendicular Lines Suggest that students use parallel lines and perpendicular lines as rules in Guess My Rule with Quadrilaterals.

DIScuSSIONAll Quadrilaterals…Some Quadrilaterals

Teaching NoteParallel and Perpendicular Lines as Attributes of Quadrilaterals Use the terms perpendicular lines and parallel lines as you create the “All Quadrilaterals…” and “Some Quadrilaterals…” chart with students.

11 2.5 Assessment: What Is a Quadrilateral?

MP3, MP64.G.1, 4.G.2

MATH WORKSHOPGuess My Rule (with Power Polygons or Shape Cards)

Teaching NoteParallel and Perpendicular Lines in Guess My Rule Suggest that students use parallel lines, perpendicular lines, and right triangles as rules in Guess My Rule.


Measuring AnglesDay Session Common Core Adaptation Common Core Standards

12 3.1 Making Right Angles MP54.NBT.4, 4.MD.6, 4.MD.7

DIScuSSIONHow Many Degrees?

Teaching NoteEquations for Making Right Angles Write equations on the board that represent what students found out about the measures of the angles. After students state the measure of the small angles in shape E, write on the board: “45° + 45° = 90°.” After students state the measure ofthe angles in shape O, write on the board: “30° + 30° + 30° = 90°. “

2A

3A

Instructional Plan cc13

INV12_TE04_U04.indd 13 6/2/11 4:36 PM


Measuring Angles, continued


13 3.2 More or Less Than 90 Degrees?

MP54.NBT.4, 4.MD.6, 4.MD.7

MATH WORKSHOPHow Many Degrees?

Teaching NoteEquations for How Many Degrees? Tell students that for each problem on Student Activity Book pages 39–40, they should write an equation that shows how they knew how many degrees were in each unknown angle. Tell students for each problem on Student Activity Book pages 41–43, they should also write addition equations that represent the smaller angles they added together to make the larger angle.

SESSION FOLLOW-UPDaily Practice and Homework

Daily Practice: In addition to Student Activity Book page 44, students complete Student Activity Book page 46 or C12 (Sides and Angles) for reinforcement of the content of this unit.

14 3.3 Assessment: Building Angles

MP54.NBT.4, 4.MD.6, 4.MD.7

DISCUSSIONMore Strategies for How Many Degrees

Teaching NoteAddition and Subtraction Equations As students share their ideas about how to find the measurement of the unknown angle in Problem 1, record equations that represent their thinking. For example: 30° + 30° = 60° or 90° − 30° = 60°.

DISCUSSIONHow Do You Know It Is 120 Degrees?

Teaching NoteEquations for Angles That Make 120 Degrees As students share how they combined angles to make 120 degrees, write addition equations that represent the angles they added together to make 120 degrees. For example: 60° + 30° + 30° = 120°.

15 3.4A Lines and Angles See p. CC21. MP54.NBT.4, 4.MD.5.a, 4.MD.5.b, 4.MD.6, 4.G.1

2A

CC14 UNIT 4 Size, Shape, and Symmetry

INV12_TE04_U04.indd 14 5/4/11 2:39 PM


Finding AreaDay Session Common Core Adaptation Common Core Standards

16 4.1 Symmetry MP54.MD.3, 4.G.2, 4.G.3TEN-MINUTE MATH

Quick Images: 2-DAlso ask students:• Are there parallel lines, perpendicular lines, or right

triangles in this image? If so, where are they?17 4.2 Symmetry and Area MP5

4.MD.3 , 4.G.2, 4.G.3TEN-MINUTE MATHQuick Images: 2-D

Also ask students:• Are there parallel lines, perpendicular lines, or right

triangles in this image? If so, where are they?18 4.3 Finding Halves of

Crazy CakesMP54.MD.3, 4.G.2, 4.G.3

TEN-MINUTE MATHQuick Images: 2-D

Also ask students:• Are there parallel lines, perpendicular lines, or right

triangles in this image? If so, where are they?SESSION FOLLOW-UPDaily Practice and Homework

Daily Practice: In addition to Student Activity Book page 60, students complete Student Activity Book page 62 or C16 (More Lines and Angles) for reinforcement of the content of this unit.

19 4.4 Decomposing Shapes MP54.MD.3, 4.G.2, 4.G.3TEN-MINUTE MATH

Quick Images: 2-DAlso ask students:• Are there parallel lines, perpendicular lines, or right

triangles in this image? If so, where are they? 20 4.5 Area of Rectangles MP5

4.NBT.4, 4.MD.321 4.6 Area of Polygons MP5

4.NBT.4, 4.MD.3, 4.G.322 4.7 End-of-Unit Assessment MP1, MP2, MP6

4.NBT.4, 4.MD.3, 4.G.1, 4.G.2


INV12_TE04_U04.indd 15 5/4/11 2:40 PM

Common Core


How Much Is 1,000?Day Session Common Core Adaptation Common Core Standards

1 1.1 How Much Is 1,000? MP74.NBT.1, 4.NBT.2, 4.NBT.4

2 1.2 Finding Numbers to 1,000 MP5, MP74.NBT.2, 4.NBT.4

DISCUSSIONFinding Numbers

Teaching NoteGreater Than, Less Than Signs Reintroduce greater than (>) and less than (<) signs. After students share how they located 541 on the 1,000 chart ask: Is 541 greater or less than 500? Is it greater or less than 600? Write 541 > 500 and 541 < 600 on the board. Throughout the unit, continue to use greater than and less than signs to compare numbers.

3 1.3 Changing Places MP5, MP74.NBT.2, 4.NBT.4 TEN-MINUTE MATH

Practicing Place ValueHave students also write the number in expanded form after they have practiced writing or saying the number.

ACTIVITYIntroducing Practicing Place Value

Teaching NoteExpanded Form Include expanded form in this activity. Explain that when students use expanded form, they will break a number apart by place. Write 435 = 400 + 30 + 5 under 435.

4 1.4 How Many Miles to 1,000? MP5, MP74.NBT.2, 4.NBT.4, 4.MD.2

TEN-MINUTE MATHPracticing Place Value

Have students also write the number in expanded form after they have practiced writing or saying the number.

5 1.5A Place-Value Understanding

See p. CC30. MP5, MP74.NBT.2, 4.NBT.3

6 1.5 Assessment: Numbers to 1,000

MP5, MP74.NBT.2, 4.NBT.4, 4.MD.2

7 1.6 Adding and Subtracting to 1,000

MP54.NBT.2, 4.NBT.4, 4.MD.2


Domains• Number and Operations in Base Ten (NBT)• Measurement and Data (MD)

Landmarks and Large Numbers

Unit 5

CC26 UNIT 5 Landmarks and Large Numbers

INV12_TE04_U05.indd 26 6/14/11 2:02 PM


Adding It UpDay Session Common Core Adaptation Common Core Standards

8 2.1 Solving Addition Problems

MP3, MP6, MP84.NBT.2, 4.NBT.4, 4.MD.2



9 2.2 Addition Strategies MP3, MP6, MP8 4.NBT.4, 4.MD.2

10 2.3 Starter Problems MP3, MP6, MP8 4.NBT.4, 4.MD.2

11 2.4 Studying the U.S. Algorithm for Addition

MP6, MP8 4.NBT.2, 4.NBT.4



12 2.5 Close to 1,000 MP2 4.NBT.2, 4.NBT.4TEN-MINUTE MATH



Daily Practice: In addition to Student Activity Book page 32, students complete Student Activity Book page 34 or C20 (School Enrollments) for reinforcement of the content of this unit.

13 2.6 Assessment: Solving an Addition Problem in Two Ways

MP2, MP6 4.NBT.2, 4.NBT.4


INV12_TE04_U05.indd 27 5/4/11 8:49 AM


Working with Numbers to 10,000Day Session Common Core Adaptation Common Core Standards

14 3.1 Making a 10,000 Chart MP1 , MP7 4.NBT.1, 4.NBT.2, 4.NBT.4

15 3.2 How Much Is 10,000? MP1 4.NBT.1, 4.NBT.2, 4.NBT.4

16 3.3 Working with the 10,000 Chart

MP1 4.NBT.2, 4.NBT.4

17 3.4 Thousands of Miles MP1 4.NBT.2, 4.NBT.4, 4.MD.2



18 3.5 Adding Numbers in the Thousands

MP1 4.NBT.2, 4.NBT.4, 4.MD.2TEN-MINUTE MATH


19 3.6A Larger Place Values See p. CC35. MP1 4.NBT.1, 4.NBT.2, 4.NBT.3

CC28 UNIT 5 Landmarks and Large Numbers

INV12_TE04_U05.indd 28 5/4/11 8:49 AM


SubtractionDay Session Common Core Adaptation Common Core Standards

20 4.1 Representing Subtraction Problems


21 4.2 Strategies for Subtraction MP4 4.NBT.2, 4.NBT.4SESSION FOllOw-up


Daily practice: In addition to Student Activity Book page 58, students complete Student Activity Book page 60 or C24 (Areas of Countries) for reinforcement of the content of this unit.

22 4.3 Assessment: Numbers to 10,000


TEN-MINuTE MATHPracticing Place Value


23 4.4A Studying the U.S. Algorithm for Subtraction

See p. CC40. MP8 4.NBT.2, 4.NBT.4

24 4.4 Do I Add or Subtract? MP1 4.NBT.2, 4.NBT.4TEN-MINuTE MATH


25 4.5 Solving Addition and Subtraction Problems

MP14.NBT.2, 4.NBT.4, 4.MD.2

TEN-MINuTE MATHPracticing Place Value


SESSION FOllOw-upDaily Practice and Homework

Daily practice: In addition to Student Activity Book page 69, students complete Student Activity Book page 70B or C28 (Subtraction Practice) for reinforcement of the content of this unit.

26 4.6 Solving Addition and Subtraction Problems, continued

MP14.NBT.2, 4.NBT.4, 4.MD.2

27 4.7 End-of-Unit Assessment MP1, MP2, MP84.NBT.4

Instructional plan CC29

INV12_TE04_U05.indd 29 6/14/11 2:03 PM

Common Core


Parts of RectanglesDay Session Common Core Adaptation Common Core Standards

1 1.1 Fractions of an Area: Halves, Fourths, and Eighths

MP1, MP2 4.NBT.2, 4.NF.1, 4.NF.3.a, 4.NF.3.b

2 1.2 Fractions of an Area: Thirds and Sixths

MP1, MP2 4.NBT.2, 4.NF.3.a, 4.NF.3.b

3 1.3 Fractions of Groups of Things

MP4 4.NBT.2, 4.NF.3.d

4 1.4 Same Parts, Different Wholes

MP4 4.NBT.2, 4.NF.3.d

5 1.5 Assessment: Identifying and Comparing Fractions

MP1, MP2, MP4 4.NBT.2, 4.NF.1, 4.NF.3.a

6 1.6 Combinations That Equal 1

MP2 4.NBT.2, 4.NF.3.a, 4.NF.3.b

7 1.7 Adding Fractions MP2 4.NBT.2, 4.NF.2, 4.NF.3.a

8 1.8A Subtracting Fractions See p. CC48. MP1, MP4, MP5 4.NF.3.a, 4.NF.3.d


Domains• Number and Operations in Base Ten (NBT)• Number and Operations–Fractions (NF)• Measurement and Data (MD)

Fraction Cards and Decimal Squares

Unit 6


INV12_TE04_U06.indd 45 6/24/11 11:26 AM


Ordering FractionsDay Session Common Core Adaptation Common Core Standards

9 2.1 Fraction Cards MP3 4.NF.1, 4.NF.2SESSION FOLLOW-UP


Daily Practice: In addition to Student Activity Book page 28, students complete Student Activity Book page 30 or C31 (Fraction Subtraction) for reinforcement of the content of this unit.

10 2.2 Fraction Cards, continued MP3 4.NF.2

11 2.3 Capture Fractions MP3 4.NF.1, 4.NF.2

12 2.4 Comparing Fractions to Landmarks

MP7 4.NF.2

13 2.5 Fractions on a Number Line

MP5 4.NF.1, 4.NF.2, 4.NF.3.a

14 2.6 Assessment: Comparing Fractions

MP5 4.NF.1, 4.NF.2

15 2.7A Adding and Subtracting Mixed Numbers

See p. CC52. MP5 4.NF.3.c, 4.MD.4

I N V E S T I G AT I O N 3A

Multiplying FractionsDay Session Common Core Adaptation Common Core Standards

16 3A.1 Multiplying Whole Numbers and Fractions

See p. CC57. MP4 4.NF.4.a, 4.NF.4.b, 4.NF.4.c

17 3A.2 Multiplying Whole Numbers and Fractions, continued


18 3A.3 Assessment: Multiplying with Fractions


CC46 UNIT 6 Fraction Cards and Decimal Squares

INV12_TE04_U06.indd 46 6/14/11 2:06 PM


Working with DecimalsDay Session Common Core Adaptation Common Core Standards

19 3.1 Representing Decimals MP5, MP6 4.NF.5, 4.NF.6, 4.NF.7, 4.MD.2


Daily Practice: In addition to Student Activity Book page 46, students complete Student Activity Book page 48 or C43 (Bug Collections) for reinforcement of the content of this unit.

20 3.2 Comparing Decimals MP5, MP6 4.NF.6, 4.NF.7

21 3.3 Representing and Combining Decimals

MP5, MP7 4.NF.5, 4.NF.6, 4.NF.7

22 3.4 Estimating and Adding Miles and Tenths of a Mile

MP4, MP5 4.NF.7, 4.MD.2


Daily Practice: In addition to Student Activity Book page 54, students complete Student Activity Book page 56 or C44 (Buying Fabric) for reinforcement of the content of this unit.

23 3.5 Comparing and Combining Decimals

MP4 4.NF.7, 4.MD.2

SESSION FOLLOW-UPDaily Practice

Daily Practice: In addition to Student Activity Book page 59, students complete Student Activity Book page 60A or C45 (Multiplying with Fractions) for reinforcement of the content of this unit.

24 3.6 Comparing and Combining Decimals, continued

MP4 4.NF.7, 4.MD.2


Daily Practice: In addition to Student Activity Book page 60, students complete Student Activity Book page 60B or C46 (Working Hard) for reinforcement of the content of this unit.

25 3.7 End-of-Unit Assessment MP1, MP2 4.NF.2, 4.NF.7


INV12_TE04_U06.indd 47 6/14/11 2:07 PM

Common CoreMathematical Practices (MP)

Domains• Number and Operations in Base Ten (NBT)• Number and Operations–Fractions (NF)• Measurement and Data (MD)


Geometric Solids Skip this Investigation.


1.1 What’s the Shape?

1.2 Silhouettes of Geometric Solids

1.3 City Landscapes

1.4 Assessment: Match the Silhouettes


Making and Visualizing Cube Buildings Skip this Investigation.


2.1 Building with Cubes

2.2 Drawing Silhouettes of Cube Buildings

2.3 Drawing Before Building

2.4 Integrating Views to Make a Cube Building

2.5 Assessment: Drawing Silhouettes

Moving Between Solids and Silhouettes

Unit 7


INV12_TE04_U07.indd 71 6/3/11 3:39 PM


Understanding Volume


1 3.1 How Many Cubes? MP1, MP4, MP8 4.NF.7SESSION FOLLOW-UP


Family Letter: Make copies of C47-C48, Family Letter, as a replacement for M7-M10, Family Letter.

2 3.2 Patterns from the Bottom Up

MP1, MP4, MP8 4.NF.7

3 3.3 Volume of Boxes MP1, MP4, MP8

4 3.4 Volume of Boxes, continued

MP1, MP4, MP8

5 3.5A Measurement Equivalents See p. CC73. MP8 4.NBT.2, 4.MD.1

6 3.5B Problem Solving Involving Measurements

See p. CC78. MP8 4.NBT.2, 4.MD.1, 4.MD.2

7 3.5 End-of-Unit Assessment MP1, MP4, MP8ASSESSMENT ACTIVITYEnd-of-Unit Assessment

Use only M24 and M25.


Daily Practice: In addition to Student Activity Book page 52, students complete Student Activity Book page 52H or C56 (Solving Measurement Problems) for reinforcement of the content of this unit.

CC72 UNIT 7 Moving Between Solids and Silhouettes

INV12_TE04_U07.indd 72 6/6/11 11:56 AM

Common Core


Multiplication with 2-Digit Numbers Teach this Investigation as is.


1 1.1 Making Estimates MP1

2 1.2 Breaking Numbers Apart MP14.NBT.5

3 1.3 Multiplication Cluster Problems

MP74.NBT.5

4 1.4 Assessment: Solving Multiplication Problems

MP74.OA.5, 4.NBT.5

5 1.5 Solving 2-Digit Problems MP74.OA.3, 4.OA.5, 4.NBT.5

How Many Packages? How Many Groups?


Domains• Operations and Algebraic Thinking (OA)• Number and Operations in Base Ten (NBT)• Measurement and Data (MD)

Unit 8

CC82 UNIT 8 How Many Packages? How Many Groups?

INV12_TE04_U08.indd 82 6/14/11 2:40 PM


Strategies for MultiplicationDay Session Common Core Adaptation Common Core Standards

6 2.1 Making an Easier Problem MP34.OA.3, 4.NBT.5, 4.MD.2

7 2.2 How Did You Start? MP3, MP84.OA.3, 4.NBT.5

8 2.3 How Did You Start?, continued

MP3, MP84.NBT.5

9 2.4A Multiplying 4-Digit by 1-Digit Numbers

See p. CC85. MP3, MP84.OA.3, 4.NBT.5, 4.MD.2

10 2.4 Practicing Multiplication MP3, MP84.OA.5, 4.NBT.5SESSION FOLLOW-UP

Daily PracticeDaily Practice: In addition to Student Activity Book page 33, students complete Student Activity Book page 31D or C60 (How Many Legs?) for reinforcement of the content of this unit.

11 2.5 Assessment: 34 ∙ 68 MP84.OA.5, 4.NBT.5


INV12_TE04_U08.indd 83 6/6/11 11:59 AM


Solving Division ProblemsDay Session Common Core Adaptation Common Core Standards

12 3.1 How Many Groups Can You Make?

MP14.NBT.5, 4.NBT.6, 4.MD.2

13 3.2 Solving Division Problems MP1, MP54.OA.5, 4.NBT.6

14 3.3 Solving Division Problems, continued

MP1, MP54.OA.3, 4.OA.5, 4.NBT.6

15 3.4 Sharing Division Strategies

MP1, MP5, MP84.OA.5, 4.NBT.5, 4.NBT.6

16 3.5A Dividing 4-Digit Numbers See p. CC90. MP14.NBT.6

17 3.5 Solving Problems in Context

MP14.OA.3, 4.OA.5, 4.NBT.5, 4.MD.2SESSION FOLLOW-UP

Daily PracticeDaily Practice: In addition to Student Activity Book page 53, students complete Student Activity Book page 51D or C64 (Flea Market) for reinforcement of the content of this unit.

18 3.6 End-of-Unit Assessment MP1, MP2, MP34.OA.5, 4.NBT.5, 4.NBT.6

CC84 UNIT 8 How Many Packages? How Many Groups?

INV12_TE04_U08.indd 84 6/14/11 2:40 PM

Common Core


Looking at Graphs Teach this Investigation as is.


1 1.1 Temperature and Speed MP4

2 1.2 The Marathon MP4


Penny Jars and Towers Day Session Common Core Adaptation Common Core Standards

3 2.1 The Penny Jar MP2, MP4, MP74.OA.5, 4.NBT.5, 4.NBT.6


Daily Practice: In addition to Student Activity Book page 14, students complete Student Activity Book page 16 or C65 (Closest Estimate) for reinforcement of the content of this unit.

4 2.2 Penny Jar Tables MP2, MP4, MP74.OA.5, 4.NBT.6

5 2.3 Round 20 MP2, MP4, MP74.OA.5

6 2.4 Penny Jar Graphs MP2, MP4, MP74.OA.5, 4.NBT.5, 4.NBT.6

7 2.5 Assessment: Penny Jar Comparisons

MP2, MP74.OA.5, 4.NBT.5, 4.NBT.6

8 2.6 Can There Be 15 Windows?

MP2, MP74.OA.5, 4.NBT.5, 4.NBT.6

9 2.7 Comparing Penny Jar Situations

MP2, MP74.OA.5

10 2.8 Rules for Windows and Towers

MP2, MP74.OA.5, 4.NBT.5, 4.NBT.6

Penny Jars and Plant GrowthMathematical Practices (MP)

Domains• Operations and Algebraic Thinking (OA)• Number and Operations in Base Ten (NBT)• Measurement and Data (MD)

Unit 9


INV12_TE04_U09.indd 95 6/3/11 4:53 PM


Collecting and Analyzing Measurements Teach this Investigation as is.


11 3.1 Graphing and Predicting Plant Growth

MP54.OA.5, 4.MD.1, 4.MD.4

12 3.2 Using Line Graphs to Compare Growth

MP54.OA.5, 4.MD.1, 4.MD.4

13 3.3 Graphs, Stories, and Tables

MP54.OA.5, 4.NBT.5, 4.NBT.6, 4.MD.1

14 3.4 Straight or Not? Increasing or Decreasing?

MP54.NBT.5, 4.NBT.6

15 3.5 End-of-Unit Assessment MP1, MP2, MP54.OA.5, 4.MD.1

CC96 UNIT 9 Penny Jars and Plant Growth

INV12_TE04_U09.indd 96 6/3/11 4:55 PM

INVESTIGATION 1 Representing Multiplication with Arrays

Documents

Transcript of INVESTIGATION 1 Representing Multiplication with Arrays