Mathematics

Assessment/Implementation Statement

Grade Five

 

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 fifth 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 the District Unit Assessment 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       Ticket Sales                       Unit 7 – PA#1             Naming Ordered Pairs

Unit 3 – PA#1       At the Stadium                 Unit 8 – PA#1             Storage Cabinet

Unit 4 – PA#1       Rolling Prices                    Unit 9 – PA#1             Probability Spins

Unit 5 – PA#1       Bake Sale                         

Unit 6 – PA#1       Pizza Time                         Grade 6

                                                                        Unit 1 – PA#1             Programming Prob.

 

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

 

Grade 5: Required chapters:

 

Chapter 5        Analyze Data and Graphs

Chapter 6        Make Graphs

                                    Unit Review and Unit Test 2 with Performance Assessment

                                    TE Page PA10

 

Chapter 7        Multiply Whole Numbers

Chapter 8        Multiply Decimals

                                    Unit Review and Unit Test 3 with Performance Assessment

                                    TE Page PA19

 

Chapter 9        Divide by 1-Digit Divisors

Chapter 10      Divide by 2-Digit Divisors

Chapter 11      Divide Decimals by Whole Numbers

Chapter 12      Algebra: Use Multiplication and Division

                                    Unit Review and Unit Test 4 with Performance Assessment

                                    TE Page PA28

 

Chapter 13      Factors and Multiples

Chapter 14      Exponents and Prime Numbers

Chapter 15      Fraction Concepts

                                    Unit Review and Unit Test 5 with Performance Assessment

                                    TE Page PA37

 

Chapter 20      Geometric Figures

Chapter 21      Classify Plane and Solid Figures

Chapter 22      Algebra: Integers

Chapter 23      Geometry and the Coordinate Plane

                                    Unit Review and Unit Test 7 with Performance Assessment

                                    TE Page PA55

 

Chapter 24      Customary and Metric Systems

Chapter 25      Perimeter

Chapter 26      Area

Chapter 27      Surface Area and Volume

                                    Unit Review and Unit Test 8 with Performance Assessment

                                    TE Page PA64

 

Chapter 28      Ratio

Chapter 29      Percent

Chapter 30      Probability

                                    Unit Review and Unit Test 9 with Performance Assessment

                                    TE Page PA73

 

Chapter 16      Add and Subtract Fractions

Chapter 17      Add and Subtract Mixed Numbers

Chapter 18      Multiply Fractions

Chapter 19      Divide Fractions

                                    Unit Review and Unit Test 6 with Performance Assessment

                                    TE Page PA46

 

The following required chapters will utilize the 6th grade text and materials.

 

Chapter 1        Whole Number Application

Chapter 2        Operation Sense

Chapter 3        Decimal Concepts

Chapter 4        Decimal Operations

                                    Unit Review and Unit Test 1 with Performance Assessment

                                    TE Page PA 2

 

 

 

 

 

Grade 5: Suggested Math Timeline

Assess all students using the Inventory Test

 

August/September

Unit 2: Data and Graphing

            Chapters 5 – 6

Unit 2 Test and Performance Assessment TE Page PA10

 

Unit 3: Multiply Whole Numbers and Decimals

            Chapters 7 – 8

Unit 3 Test and Performance Assessment TE Page PA19

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 4: Divide Whole Numbers and Decimals

            Chapters 9 – 12

Unit 4 Test and Performance Assessment TE Page PA28

 

Unit 5: Number Theory and Fractions

            Chapter 13 – 15

Unit 5 Test and Performance Assessment TE Page PA37

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 7: Geometry and Algebra

            Chapters 20-23

Unit 7 Test and Performance Assessment TE Page PA55

Unit 8: Measurement

            Chapter 24 – 27

Unit 8 Test and Performance Assessment TE Page PA64

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 9: Ratio, Percent, and Probability

            Chapters 28 – 30

Unit 9 Test and Performance Assessment

 

Unit 6: Operations with Fractions

            Chapters 16 – 19

Unit 6: Test and Performance Assessment 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/May/June

Unit 1 (Grade 6): Number Sense and Operations

            Chapters 1-4

Unit 1 Test and Performance Assessment TE Page PA2

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

 

 

 

Fifth 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 – 5.5

5 pg. 101

 

   Chapter 6

6.1 – 6.6

6 pg. 119

 

Unit 3

 

 

 

   Chapter 7

7.1 – 7.3

7 pg. 157

 

   Chapter 8

8.1 – 8.6

8 pg. 173

 

Unit 4

 

 

 

   Chapter 9

9.1 – 9.5

9 pg. 201

 

   Chapter 10

10.1 – 10.6

10 pg. 209

 

   Chapter 11

11.1 – 11.5

11 pg. 234

 

   Chapter 12

12.1 – 12.7

12 pg. 257

 

Unit 5

 

 

 

   Chapter 13

13.1 – 13.4

13 pg. 285

 

   Chapter 14

14.1 – 14.5

14 pg. 305

 

   Chapter 15

15.1 – 15.6

15 pg. 327

 

Unit 7

 

 

 

   Chapter 20

20.1 – 20.7

20 pg. 449

 

   Chapter 21

21.1 – 21.6

21 pg. 469

 

   Chapter 22

22.1 – 22.4

22 pg. 491

 

   Chapter 23

23.1 – 23.4

23 pg. 507

 

Unit 8

 

 

 

   Chapter 24

24.1 – 24.7

24 pg. 541

 

   Chapter 25

25.1 – 25.4

25 pg. 555

 

   Chapter 26

26.1 – 26.6

26 pg. 581

 

   Chapter 27

27.1 – 27.5

27 pg. 599

 

Unit 9

 

 

 

   Chapter 28

28.1 – 28.3

28 pg. 623

 

   Chapter 29

29.1 – 29.6

29 pg. 644

 

   Chapter 30

30.1 – 30.6

30 pg. 665

 

Unit 6

 

 

 

   Chapter 16

16.1 – 16.6

16 pg. 361

 

   Chapter 17

17.1 – 17.5

17 pg. 379

 

   Chapter 18

18.1 – 18.5

18 pg. 396

 

   Chapter 19

19.1 – 19.5

19 pg. 413

 

 

Unit 1 (grade 6)

 

   Chapter 1

1.1 – 1.5

1 pg. 23

 

   Chapter 2

2.1 – 2.5

2 pg. 45

 

   Chapter 3

3.1 – 3.4

3 pg. 65

 

   Chapter 4

4.1 – 4.7

4 pg. 93