Mathematics

Assessment/Implementation Statement

Grade Four

 

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 fourth 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 Des Cartes, 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.   This activity should be scored on an 8 point rubric.  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       Favorite Subjects  

Unit 3 – PA#1       Outdoor Games                Unit 8 – PA#1             On the Edge

Unit 4 – PA#1       Speed Writing                   Unit 9 – PA#1             House Addition

Unit 5 – PA#1       Tile Trials                          Grade 5         

Unit 6 – PA#1       What Am I?                      Unit 1 – PA#1 Lunch and a Movie                

Unit 7 – PA#1       Share Your Pizza             

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

Grade 4: Required chapters:

 

Chapter 5        Understand Time

Chapter 6        Collect and Organize Data

Chapter 7        Analyze and Graph Data

                                    Unit Review and Unit Test 2 with Performance Assessments

                                    TE Page PA10 (modified)

 

Chapter 8        Practice Multiplication and Division Facts

Chapter 9        Algebra: Use Multiplication and Division Facts

                                    Unit Review and Unit Test 3 with Performance Assessments

                                    TE Page PA19

 

Chapter 10      Multiply by 1-Digit Numbers

Chapter 11      Multiply by Tens

Chapter 12      Multiply by 2-Digit Numbers

                                    Unit Review and Unit Test 4 with Performance Assessments

                                    TE Page PA28

 

Chapter 13      Understand Division

Chapter 14      Divide by 1-Digit Divisors

Chapter 15      Divide by 2-Digit Divisors

Chapter 16      Number Theory

                                    Unit Review and Unit Test 5 with Performance Assessments

                                    TE Page PA37

 

Chapter 17      Lines, Rays, and Angles

Chapter 18      Plane Figures

Chapter 19      Motion Geometry

Chapter 20      Algebra: Explore Negative Numbers and Graphing

                                    Unit Review and Unit Test 6 with Performance Assessments

                                    TE Page PA46

 

Chapter 21      Understand Fractions

Chapter 22      Add and Subtract Fractions and Mixed Numbers

Chapter 23      Outcomes and Probability

                                    Unit Review and Unit Test 7 with Performance Assessments

                                    TE Page PA55

 

 

Chapter 24      Customary Measurement

Chapter 25      Metric Measurement

Chapter 26      Understand Decimals

Chapter 27      Add and Subtract Decimals

                                    Unit Review and Unit Test 8 with Performance Assessments

                                    TE Page PA64

 

Chapter 28      Perimeter of Plane Figures

Chapter 29      Area of Plane Figures

Chapter 30      Solid Figures and Volume

                                    Unit Review and Unit Test 9 with Performance Assessments

                                    TE Page PA73

 

 

Grade 5:  Required Chapters

Chapter 1        Place Value of Whole Numbers

Chapter 2        Place Value of Decimals

Chapter 3        Add and Subtract Whole Numbers and Decimals

Chapter 4        Algebra: Use Addition and Subtraction

                                    Unit Review and Unit Test 1 with Performance Assessments

                                    TE Page PA 2

 

Grade 4: Suggested Math Timeline

 

Assess all students using the Inventory Test

 

August/September

Unit 2: Time, Data, and Graphing

            Chapters 5 – 7

Unit 2 Test and Performance Assessment TE Page PA10 (modified)

 

Unit 3:  Multiplication and Division Facts

            Chapter 8 –9

Unit 3 Test and Performance Assessment TE Page PA19

 

Unit 4: Multiply by 1- and 2-Digit Numbers

            Chapters 10 – 11

 

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


October/November

Unit 4: Multiply by 1- and 2-Digit Numbers

            Chapters 10 – 12

Unit 4 Test and Performance Assessment TE Page 28

 

Unit 5: Divide by 1- and 2-Digit Divisors

            Chapters 13 – 16

Unit 5 Test and Performance Assessment TE Page 37

 

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 6: Geometry and Algebra

            Chapters 17 – 20

Unit 6 Test and Performance Assessment TE Page 46

 

Unit 7: Fractions and Probability

            Chapters 21 – 23

Unit 7 Test and Performance Assessment TE Page 55

 

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

 

Unit 8: Measurement and Decimals

            Chapters 24 – 27

Unit 8 Test and Performance Assessment TE Page 64

 

Unit 9: Perimeter, Area, and Volume

            Chapters 28 – 29

 

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/May/June

Complete Unit 9: Perimeter, Area, and Volume

            Chapter 30

Unit 9 Test and Performance Assessment TE Page 73

 

Unit 1 (Grade 5): Use Whole Numbers and Decimals

            Chapters 1 – 4

Unit 1 Test and Performance Assessment TE Page PA2

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

 

 

Fourth Grade

Harcourt Math Transparencies

DT – Daily Transparencies for every lesson.

PSTT – Problem Solving Teaching Transparencies – Scaffolding Instruction              

Unit

Daily Transparency

PSTT Scaffolding

           Instruction

 

Unit 2

 

 

 

   Chapter 5

5.1 – 5.4

5

 

   Chapter 6

6.1 – 6.6

6

 

   Chapter 7

7.1 – 7.6

7

 

Unit 3

 

   Chapter 8

8.1 – 8.5

8

 

   Chapter 9

9.1 – 9.5

9

 

Unit 4

 

   Chapter 10

10.1 – 10.6

10

 

   Chapter 11

11.1 – 11.5

11

 

   Chapter 12

12.1 – 12.5

12

 

Unit 5

 

   Chapter 13

13.1 – 13.5

13

 

   Chapter 14

14.1 – 14.6

14

 

   Chapter 15

15.1 – 15.6

15

 

   Chapter 16

16.1 – 16.5

16

 

Unit 6

 

   Chapter 17

17.1 – 17.4

17

 

   Chapter 18

18.1 – 18.4

18

 

   Chapter 19

19.1 – 19.6

19

 

   Chapter 20

20.1 – 20.6

20

 

Unit 7

 

   Chapter 21

21.1 – 21.5

21

 

   Chapter 22

22.1 – 22.6

22

 

   Chapter 23

23.1 – 23.6

23

 

Unit 8

 

   Chapter 24

24.1 – 24.6

24

 

   Chapter 25

25.1 – 25.5

25

 

   Chapter 26

26.1 – 26.6

26

 

   Chapter 27

27.1 – 27.6

27

 

Unit 9

 

   Chapter 28

28.1 – 28.4

28

 

   Chapter 29

29.1 – 29. 4

29

 

   Chapter 30

30.1 – 30.4

30

 

Unit 1 (grade 5)

 

   Chapter 1

1.1 – 1.5

1 pg. 15

 

   Chapter 2

2.1 – 2.4

2 pg. 24

 

   Chapter 3

3.1 – 3.7

3 pg. 57

 

   Chapter 4

4.1 – 4.6

4 pg. 81