Mathematics

Assessment/Implementation Statement

Grade Three

 

Generally, it is believed that when teaching new concepts, it is best to use concrete methods before moving to the abstract mode of instruction, i.e. pencil and paper.  The Great Falls Public Schools has provided a number of training opportunities as well as materials to help accomplish this kind of instruction. 

 

IMPLEMENTATION

 

Basic materials: The Board of Trustees adopted Harcourt as the basal program.

 

The assessment guidelines that follow indicate which Harcourt chapters need to be covered to assure a complete program. 

 

Supplemental materials: Teachers, principals and building staffs are encouraged to make necessary professional judgments as to the supplemental materials and instructional strategies that best meet the needs of the students in their classrooms/schools as well as their individual teaching styles.  These include: concrete learning materials (e.g. Developing Number Concepts), computer software (e.g. Successmaker ), Every Day Counts,  Skill Builders, Mastering Math Facts, and Math Facts in a Flash, as well as other math topics.  Other supplemental materials may be used.  It is important to note these additional materials are not to replace the Board adopted basic materials but to support them.

 

ASSESSMENT

 

The assessment components for third grade include the use of text-based criterion referenced (forms A or B) and performance tests as well as ongoing teacher assessment Unit test Form B can be used as a pre-test and District Unit Assessments will be used as the final test, as grades are scored and recorded electronically, through the use of LXR. These assessments are aligned with the state standards, Progress Toward Standards (CRT), MAP DesCartes, and benchmarks found in the Great Falls Public Schools Curriculum. It is recognized that in some cases these assessments exceed the Great Falls Curriculum but this is considered appropriate.  The Performance Assessment activity is included in the Unit Assessment and scored by the teacher as a graded assessment.  A score of six on the eight-point assessment scheme is considered satisfactory. (See attachment Harcourt Math Scoring Rubric and performance Assessment.)

 

Required Performance Assessment Activities

Unit 2 – PA#1               Saving Money                              Grade 4

Unit 3 – PA#1               Class Play                                     Unit 1 – PA#1       Population Study

Unit 4 – PA#1               Daisy Garden                              

Unit 5 – PA#1               Yarn Dolls                                                    

Unit 6 – PA#1               Art Class                                                                       

Unit 7 - PA#1                Base Ten Blocks Add Up                                                          

Unit 8 – PA#1               Mmmm….Brownies!                                                 

Unit 9 – PA#1              Tabletop Tiles              

 

60 to 90 minutes of Math instruction per day is recommended.

 

Grade 3: Required chapters:

 

Chapter 4        Addition

Chapter 5        Subtraction

Chapter 6        Money

Chapter 7        Understanding Time

                                    Unit Review and Unit Test 2 with Performance Assessments

                                    TE Page PA10

 

Chapter 8        Understanding Multiplication

Chapter 9        Multiplication Facts Through 5

Chapter 10      Multiplication Facts and Strategies

Chapter 11      Multiplication Facts and Patterns

                                    Unit Review and Unit Test 3 with Performance Assessments

                                    TE Page PA19

 

Chapter 12:     Understand Division

Chapter 13:     Division Facts Through 5

Chapter 14:     Division Facts Through 10

                                    Unit Review and Unit Test 4 with Performance Assessments

                                    TE Page PA28

 

Chapter 15:     Collect and Record Data

Chapter 16:     Analyze and Graph Data

Chapter 17:     Customary Units

Chapter 18:     Metric Units and Temperature

                                    Unit Review and Unit Test 5 with Performance Assessments

                                    TE Page PA37

 

Chapter 19:     Geometric Figures

Chapter 20:     Congruence and Symmetry

Chapter 21:     Solid and Plane Figures

Chapter 22:     Perimeter, Area, and Volume

                                    Unit Review and Unit Test 6 with Performance Assessments

                                    TE Page PA46

 

Chapter 23:     Algebra: Patterns

Chapter 24:     Probability

                                    Unit Review and Unit Test 7 with Performance Assessments

                                    TE Page PA55

 

Chapter 25:     Understand Fractions

Chapter 26:     Add and Subtract Like Fractions

Chapter 27:     Fractions and Decimals

Chapter 28:     Decimals and Fractions

                                    Unit Review and Unit Test 8 with Performance Assessments 

                                    TE Page PA64

 

Chapter 29:     Multiply by 1-Digit Numbers

Chapter 30:     Divide by 1-Digit Numbers

                                    Unit Review and Unit Test 9 with Performance Assessments

                                    TE Page PA73

 

 

The following required chapters will utilize the 4th grade text and materials.

 

Chapter 1        Place Value and Number Sense

Chapter 2        Compare and Order Whole Numbers

Chapter 3        Add and Subtract Whole Numbers

Chapter 4        Algebra: Use Addition and Subtraction

                                    Unit Review and Unit Test 1 with Performance Assessments

                                    TE Page PA1

 

 

Grade 3: Suggested Math Timeline

Assess all students using the Inventory Test

 

August/September

Unit 2: Addition, Subtraction, Money, and Time

            Chapters 4-7

Unit 2 Test and Performance Assessment TE Page PA10

Daily Transparencies (Harcourt)

Problem Solving – Scaffolded Instruction Transparencies (Harcourt)

Introduce Every Day Counts **concepts are covered in EDC if done consistently

Introduce Skill Builders, Mastering Math Facts, or Math Facts in a Flash

Introduce Weekly Math Logs for maintenance

 

October/November

Unit 3: Multiplication Concepts and Facts

            Chapters 8-11

Unit 3 Test and Performance Assessment TE Page PA19

Unit 4:  Division Concepts

            Chapter 12

Daily Transparencies (Harcourt)

Problem Solving – Scaffolded Instruction Transparencies (Harcourt)

Continue Every Day Counts **concepts are covered in EDC if done consistently

Continue Skill Builders, Mastering Math Facts, or Math Facts in a Flash

Continue Weekly Math Logs for maintenance

Continue regular use of Tables and Graphs

 

December/January

Unit 4: Division Concepts and Facts

            Chapter 13-14

            Unit 4 Test and Performance Assessments TE Page PA28

Unit 5: Data and Measurement

            Chapter 15 – 17

 

Daily Transparencies (Harcourt)

Problem Solving – Scaffolded Instruction Transparencies (Harcourt)

Continue Every Day Counts **concepts are covered in EDC if done consistently

Continue Skill Builders, Mastering Math Facts, or Math Facts in a Flash

Continue Weekly Math Logs for maintenance

Continue regular use of Tables and Graphs

 

February/March

Complete Unit 5: Data and Measurement

            Chapter 18

            Unit 5 Test and Performance Assessments TE Page PA37

Unit 6: Geometry

            Chapter 19 – 22

            Unit 6 Test and Performance Assessments TE Page PA46

 

Daily Transparencies (Harcourt)

Problem Solving – Scaffolded Instruction Transparencies (Harcourt)

Continue Every Day Counts **concepts are covered in EDC if done consistently

Continue Skill Builders, Mastering Math Facts, or Math Facts in a Flash

Continue Weekly Math Logs for maintenance

Continue regular use of Tables and Graphs

 

April

Unit 7: Patterns and Probability

            Chapter 23 – 24

            Unit 7 Test and Performance Assessments TE Page PA55

Unit 8: Fractions and Decimals

            Chapter 25 – 28

            Unit 8 Test and Performance Assessments TE Page PA64

Unit 9: Multiply and Divide by 1 – Digit Numbers

            Chapter 29 – 30

            Unit 9 Test and Performance Assessments TE Page PA73

Daily Transparencies (Harcourt)

Problem Solving – Scaffolded Instruction Transparencies (Harcourt)

Continue Every Day Counts **concepts are covered in EDC if done consistently

Continue Skill Builders, Mastering Math Facts, or Math Facts in a Flash

Continue Weekly Math Logs for maintenance

Continue regular use of Tables and Graphs

 

May/June

Unit 1 (Grade 4): Understand Whole Numbers and Operations

            Chapters 1 – 4

Unit 1 Test and Performance Assessment TE Page PA1

 

Daily Transparencies (Harcourt)

Problem Solving – Scaffolded Instruction Transparencies (Harcourt)

Continue Every Day Counts **concepts are covered in EDC if done consistently

Continue Skill Builders, Mastering Math Facts, or Math Facts in a Flash

Continue Weekly Math Logs for maintenance

Continue regular use of Tables and Graphs

 

Third Grade

Harcourt Math Transparencies

DT – Daily Transparencies for every lesson.

PSTT – Problem Solving Teaching Transparencies – Scaffolding Instruction

PSR – Problem Solving and Reading Strategies Workbook for Grades 1-3

                       

Unit

Daily Transparency

PSTT Scaffolding

           Instruction

 

Unit 2

 

 

 

   Chapter 4

4.1 – 4.6

4.4  pg. 75

 

   Chapter 5

5.1 – 5.6

5.6  pg, 103

 

   Chapter 6

6.1 – 6.5

6.2  pg. 115

 

   Chapter 7

7.1 – 7.6

7.6  pg. 143

 

Unit 3

 

 

 

   Chapter 8

8.1 – 8.5

8.3  pg. 163

 

   Chapter 9

9.1 – 9.5

9.5  pg. 187

 

   Chapter 10

10.1 – 10.5

10.1  pg. 193

 

   Chapter 11

11.1 – 11.5

11.1  pg. 214

 

Unit 4

 

   Chapter 12

12.1 – 12.5

12.5  pg. 251

 

   Chapter 13

13.1 – 13.5

13.2  pg. 261

 

   Chapter 14

14.1 – 14.5

14.2  pg. 279

 

Unit 5

 

 

 

   Chapter 15

15.1 – 15.6

15.4  pg. 309

 

   Chapter 16

16.1 – 16.5

16.5  pg. 331

 

   Chapter 17

17.1 – 17.6

17.4  pg. 347

 

   Chapter 18

18.1 – 18.5

18.2  pg. 363

 

Unit 6

 

 

 

   Chapter 19

19.1 – 19.6

19.6  pg. 401

 

   Chapter 20

20.1 – 20.5

20.5  pg. 417

 

   Chapter 21

21.1 – 21.5

21.3  pg. 431

 

   Chapter 22

22.1 – 22.4

22.3  pg. 451

 

Unit 7

 

   Chapter 23

23.1 – 23.5

23.5  pg. 481

 

   Chapter 24

24.1 – 24.6

24.3  pg. 494

 

Unit 8

 

 

 

   Chapter 25

25.1 – 25.6

25.3  pg. 524

 

   Chapter 26

26.1 – 26.5

26.5  pg. 551

 

   Chapter 27

27.1 – 27.6

27.6  pg. 569

 

   Chapter 28

28.1 – 28.4

28.4  pg. 585

 

Unit 9

 

   Chapter 29

29.1 – 29.4

29.2  pg. 606

 

   Chapter 30

30.1 – 30.5

30.2  pg. 622

 

 

Unit 1 (4th Grade)

 

   Chapter 1

1.1 – 1.5

1

 

   Chapter 2

2.1 – 2.4

2

 

   Chapter 3

3.1 – 3.6

3

 

   Chapter 4

4.1 – 4.6

4