LOGAN-ROGERSVILLE R-VIII MATHEMATICS CURRICULUM

GRADE 2

 

Course Description

The curriculum math units of identifying numbers, problem solving, geometry and patterns, reasoning, and data analysis are taught in the 2nd grade.  All concepts are introduced in increments followed by continuous review of topics.  Lessons are introduced

using a variety of teaching techniques and questioning strategies which relate mathematics to daily life.

 

Course Rationale

The mathematics curriculum in grade 2 will provide fundamental skills needed as a foundation for basic and higher level math applications required for academic and social success in the 21st century.

 

 

Competencies

 

  1. Students will work individually and with others to use problem-solving approaches to investigate and understand mathematical content.
  2. Students will use problem-solving strategies to construct meaning from mathematical tasks.
  3. Students will recognize and define theoretical and actual problems encountered in everyday life, mathematical situations, and various disciplines.
  4. Students will develop and apply strategies to predict, prevent, and solve a wide a variety of problems.
  5. Students will verify, interpret, and evaluate whether a solution addresses the original problem.
  6. Students will select and apply appropriate mathematical tools and technology to solve problems.
  7. Students will relate physical materials, pictures, and diagrams to mathematical ideas.
  8. Students will organize information into useful forms, such as verbal, symbolic, or graphic.
  9. Students will reflect on and clarify thinking about mathematical ideas and situations.
  10. Students will communicate the relationship between everyday language, mathematical language and symbols.
  11. Students will demonstrate the ability to select and apply appropriate strategies, such as representing, discussing, reading, writing, listening, and using technology in mathematics.
  12. Students will draw logical conclusions about mathematics.
  13. Students will use models, know facts, properties, and relationships to explain their thinking.
  14. Students will justify answers and solution processes in an organized and convincing way.
  15. Students will use patterns and relationships to analyze mathematical situations.
  16. Students will link concepts to student-generated procedures.
  17. Students will relate various representations of concepts or procedures to one another using a variety of methods, forms, and technologies.
  18. Students will recognize relationships among different topics in mathematics.
  19. Students will use Mathematics in other curriculum areas and in daily living.
  20. Students will model, explore, develop, and explain number operations for whole numbers.
  21. Students will use technology to explore numbers.
  22. Students will use physical models and real-world experiences to construct number meanings.
  23. Students will relate counting, grouping, and place value concepts.
  24. Students will utilize number sense to develop number meanings and explore number relationships.
  25. Students will use a variety of mental computation and estimation strategies to solve specific problems.
  26. Students will demonstrate an understanding of the attributes of length, capacity, weight, area, volume, time, temperature, and angle.
  27. Students will make and use standard and nonstandard measurements in problems and everyday situations.
  28. Students will explore the concepts of fractions, mixed numbers, and decimals and be able to apply them to problem situations.
  29. Students will describe, model, draw, and classify shapes.
  30. Students will investigate and predict the results of combining, subdividing, and changing shapes.
  31. Students will visualize, draw, and compare shapes.
  32. Students will connect geometric ideas to number and measurement ideas.
  33. Students will explore geometry in their world.
  34. Students will investigate concepts of lines, angles, similarity, congruence, and symmetry.
  35. Students will investigate length, capacity, weight, mass, area, volume, time, and temperature.
  36. Students will use standard and nonstandard units of measure
  37. Students will locate objects by relative position including top, bottom left, right, over and under.
  38. Students will collect, organize, and describe data through the use of technologies and other resources.
  39. Students will construct, read, and interpret displays of data through verbal, nonverbal, symbolic, and graphic forms.
  40. Students will solve problems that require collecting and analyzing data.
  41. Students will explore concepts of chance.
  42. Students will create, recognize, describe, and extend a wide variety of patterns.
  43. Students will represent and describe mathematical relationships.
  44. Students will investigate the use of variables and open sentences in expressing relationships.
  45. Students will use whole numbers, integers and rational numbers, including fractions and decimals by looking  for patterns and relationships to solve problems.
  46. Students will develop and use number operations and order relations for decimals (money).
  47. Students will demonstrate how basic arithmetic operations are related to one another.
  48. Students will develop and use number theory concept, including factors and multiples in problem solving.
  49. Students will model, develop, and explain basic facts and algorithms with reasonable proficiency.
  50. Students will determine what should be counted in a set of objects and actually count the objects.
  51. Students will predict whether the set contain more or fewer of one subset than the other.
  52. Students will illustrate or explain how the subsets of objects are the same or different.
  53. Students will identify and discuss overlapping subsets of objects (Venn diagrams).
  54. Students will create algorithms based on constructing meaning from explorations.
  55. Students will determine a path through a maze, whether a street network could be traveled going over each street one time, and the shortest distance traveling on a network of roads or streets.
  56. Students will apply the concept of fair division to real-world situations.

Grade and/or class:  Second Grade

Date of Last Revision:  2002-2003

Writer:  Julie Durr

 

Missouri Frameworks

 

District Skill Competency

Activities

Assessment

Content

Standards

Performance

Standards

I, a

1.  Students will work individually and with others to use problem-solving approaches to investigate and understand mathematical content.

Students will work individually and with others to use problem-solving approaches to investigate and understand mathematical content.

Sample Saxon lessons:  6-9, 21, 91

Through teacher observation, oral interviews, and written assessments students will work individually and with others to use problem-solving approaches to investigate and understand mathematical content.

MA1

3.5, 3.6

I, b

 

2.  Students will use problem-solving strategies to construct meaning from mathematical tasks

Students will use problem-solving strategies to construct meaning from mathematical tasks.

Sample Saxon Lessons:  48, 66-68

Through teacher observation, oral interviews, and written assessments students will use problem-solving strategies to construct meaning from mathematical tasks.

MA1

1.6, 3.7

I, c

3.  Students will recognize and define theoretical and actual problems encountered in everyday life, mathematical situations, and various disciplines.

Students will recognize and define theoretical and actual problems encountered in everyday life, mathematical situations, and various disciplines.

Sample Saxon lessons:  1, 3, 8, 11, 12, 46, 51

 

Through teacher observation, oral interviews, and written assessments students will recognize and define theoretical and actual problems encountered in everyday life, mathematical situations, and various disciplines

 

MA1

3.1, 3.4

I, d

4.  Students will develop and apply strategies to predict, prevent, and solve a wide a variety of problems.

Students will develop and apply strategies to predict, prevent, and solve a wide a variety of problems.

Sample Saxon lessons:  22, 75-2, 76, 98, 109, 119

Through teacher observation, oral interviews, and written assessments students will develop and apply strategies to predict, prevent, and solve a wide a variety of problems.  Saxon assessments:  10-135

MA1

3.2, 3.3

I, e

5.  Students will verify, interpret, and evaluate whether a solution addresses the original problem.

Students will verify, interpret, and evaluate whether a solution addresses the original problem.

Sample Saxon lessons:  75-1, 80-1, 85-1, 98, 109, 119

Through teacher observation, oral interview, written assessment students will verify, interpret, and evaluate whether a solution addresses the original problem.

 

MA1

3.7

I, f

6.  Students will select and apply appropriate mathematical tools and technology to solve problems.

Students will select and apply appropriate mathematical tools and technology to solve problems.  www.saxonpub.com

Sample Saxon lessons:  27, 43,

 

Through teacher observation, oral interview, and written assessment students will select and apply appropriate mathematical tools and technology to solve problems. 

 

MA1

2.7

 

 

Missouri Frameworks

 

District Skill Competency

Activities

Assessment

Content

Standards

Performance

Standards

II, a

7.  Students will relate physical materials, pictures, and diagrams to mathematical ideas.

Students will relate physical materials, pictures, and diagrams to mathematical ideas.

Sample Saxon lessons:  1, 2, 5-9, 13, 22, 48, 66, 76, 116,

 

Through teacher observation, oral interview, and written assessment students will relate physical materials, pictures, and diagrams to mathematical ideas.

 

MA1

2.1

II, b

8.  Students will organize information into useful forms, such as verbal, symbolic, or graphic.

 

Students will organize information into useful forms, such as verbal, symbolic, or graphic.

Sample Saxon lessons:  2, 17, 31, 32, 95-2,  125-2, 134

Through teacher observation, oral interviews, written assessments students will organize information into useful forms, such as verbal, symbolic, or graphic.

 

MA1

1.8

II, c

9.  Students will reflect on and clarify thinking about mathematical ideas and situations.

Students will reflect on and clarify thinking about mathematical ideas and situations.

Sample Saxon lessons:  3, 8, 11, 13, 48, 63, 74

 

Through teacher observation, oral interview, written assessments students will reflect on and clarify thinking about mathematical ideas and situations.

 

MA2

2.2

II, d

10.  Students will communicate the relationship between everyday language, mathematical language and symbols.

Students will communicate the relationship between everyday language, mathematical language and symbols.

Sample Saxon lessons:  1, 18, 47, 81-84, 123, 125-2, 132

Through teacher observation, oral interview, written assessments students will communicate the relationship between everyday language, mathematical language and symbols.

MA2

2.3

II, e

11. Students will demonstrate the ability to select and apply appropriate strategies, such as representing, discussing, reading, writing, listening, and using technology in mathematics.

Students will demonstrate the ability to select and apply appropriate strategies, such as representing, discussing, reading, writing, listening, and using technology in mathematics.

Sample Saxon lessons:  3-135

Through teacher observation, oral interview, written assessments students will demonstrate the ability to select and apply appropriate strategies, such as representing, discussing, reading, writing, listening, and using technology in mathematics.

 

MA2

2.2

 

 

Missouri Frameworks

 

District Skill Competency

Activities

Assessment

Content

Standards

Performance

Standards

III, a

12.  Students will draw logical conclusions about mathematics.

Students will draw logical conclusions about mathematics.

Sample Saxon lessons:  8, 11, 13, 48, 53, 63, 74

Through teacher observation, oral interview, written assessments students will raw logical conclusions about mathematics.

 

MA1

3.5

III, b

13.  Students will use models, know facts, properties, and relationships to explain their thinking.

Students will use models, know facts, properties, and relationships to explain their thinking.

Sample Saxon lessons: 2, 8, 10-1, 19, 23, 24, 29, 34, 39, 41, 58, 59, 60-1,  83,  92

 

Through teacher observation, oral interview, written assessment students will use models, know facts, properties, and relationships to explain their thinking.

 

MA1

4.1

III, c

14.  Students will justify answers and solution processes in an organized and convincing way.

Students will justify answers and solution processes in an organized and convincing way.

Sample Saxon lessons:  98, 109, 119

Through teacher observation, oral interview, written assessment students will justify answers and solution processes in an organized and convincing way.

 

MA1

1.8

III, d

15.  Students will use patterns and relationships to analyze mathematical situations.

Students will use patterns and relationships to analyze mathematical situations.

Sample Saxon lessons:  7, 13, 33, 14, 20-1, 78, 96, 32, 76, 77, 81, 93, 95-2,

 

Through teacher observation, oral interview, written assessment students will use patterns and relationships to analyze mathematical situations.

 

MA4

1.6

 

 

 

 

Missouri Frameworks

 

District Skill Competency

Activities

Assessment

Content

Standards

Performance

Standards

IV, a

16.  Students will link concepts to student-generated procedures.

Students will link concepts to student-generated procedures.

Sample Saxon lessons:  1, 3, 8, 11, 38, 43, 52, 66, 83, 93, 101, 104, 119, 132

Through teacher observation, oral interview, written assessment students will link concepts to student-generated procedures.

 

MA1

1.6, 1.10, 2.2

IV, b

17.  Students will relate various representations of concepts or procedures to one another using a variety of methods, forms, and technologies.

Students will relate various representations of concepts or procedures to one another using a variety of methods, forms, and technologies.

Sample Saxon lessons:  29, 75-1, 80-1, 85-1

 

Through teacher observation, oral interview, written assessment students will relate various representations of concepts or procedures to one another using a variety of methods, forms, and technologies.

 

MA1

1.6, 2.7

IV, c

18.  Students will recognize relationships among different topics in mathematics.

Students will recognize relationships among different topics in mathematics.

Sample Saxon lessons:  2, 8

Through teacher observation, oral interview, written assessment students will recognize relationships among different topics in mathematics.

 

MA1

1.6, 1.10

IV, d

19.  Students will use Mathematics in other curriculum areas and in daily living.

Students will use Mathematics in other curriculum areas and in daily living.

Sample Saxon lessons:  46, 51, 75-2, 86, 93, 98, 127, 132

Through teacher observation, oral interview, written assessments students will use Mathematics in other curriculum areas and in daily living.

 

MA1

1.10, 4.7

 

 

Missouri Frameworks

 

District Skill Competency

Activities

Assessment

Content

Standards

Performance

Standards

V, a

20.  Students will model, explore, develop, and explain number operations for whole numbers.

 

Students will model, explore, develop, and explain number operations for whole numbers.

Sample Saxon lessons:  5, 11, 92, 96, 97, 128,

 

 

Through teacher observation, oral interview, written assessments students will model, explore, develop, and explain number operations for whole numbers.

 

MA1

1.6, 2.1, 3.3

V, b

21.  Students will use technology to explore numbers.

Students will use technology to explore numbers.

Sample Saxon lessons:  www.saxonpub.com

 

Through teacher observation, oral interviews, written assessments students will use technology to explore numbers.

 

MA1

1.4, 1.6, 2.7

V, c

22.  Students will use physical models and real-world experiences to construct number meanings.

Students will use physical models and real-world experiences to construct number meanings.

Sample Saxon lessons:  8, 11, 13, 19, 23, 24, 34, 39, 41, 59, 76, 77, 81, 83, 96, 97, 98, 127, 132

 

 

Through teacher observation, oral interview, written assessment, students will use physical models and real-world experiences to construct number meanings.

 

MA1

1.10, 2.3, 4.1

V, d

23.  Students will relate counting, grouping, and place value concepts.

Students will relate counting, grouping, and place value concepts.

Sample Saxon lessons:  2, 32, 38, 42, 53, 54, 61, 62, 63, 64, 71, 76, 77, 84, 87, 88, 89, 91, 93

 

Through teacher observation, oral interview, written assessment students will relate counting, grouping, and place value concepts.

 

MA1

1.6, 3.6, 4.1

V, e

 24.  Students will utilize number sense to develop number meanings and explore number relationships.

Students will utilize number sense to develop number meanings and explore number relationships.

Saxon lessons:  2, 8, 49, 74, 81

Through teacher observation, oral interview, written assessment students will utilize number sense to develop number meanings and explore number relationships.

 

MA1

1.6, 3.3

V, f

25.  Students will use a variety of mental computation and estimation strategies to solve specific problems.

Students will use a variety of mental computation and estimation strategies to solve specific problems.

Sample Saxon lessons:  35-2, 74,  94, 98, 109, 119, 135

Through teacher observation, oral interview, written assessments, students will use a variety of mental computation and estimation strategies to solve specific problems.

 

MA1

1.10, 3.3, 4.1

 

Missouri Frameworks

 

District Skill Competency

Activities

Assessment

Content

Standards

Performance

Standards

V, g

26.  Students will demonstrate an understanding of the attributes of length, capacity, weight, area, volume, time, temperature, and angle.

Students will demonstrate an understanding of the attributes of length, capacity, weight, area, volume, time, temperature, and angle.

Sample Saxon lessons:  12, 40-2, 43, 55-2, 67, 69, 75-2, 100-2, 102, 104, 110-2, 114 

 

Through teacher observation, oral interview, written assessment students will demonstrate an understanding of the attributes of length, capacity, weight, area, volume, time, temperature, and angle.

 

MA1

1.6, 4.1

V, h

27.  Students will make and use standard and nonstandard measurements in problems and everyday situations.

Students will make and use standard and nonstandard measurements in problems and everyday situations.

Sample Saxon lessons:  35-2, 40-2, 45-2, 50-2, 55-2, 75-2, 102, 104, 110-2, 111,   131

Through teacher observation, oral interview, written assessment students will make and use standard and nonstandard measurements in problems and everyday situations.

 

MA1

3.2, 3.3

V, I

28.  Students will explore the concepts of fractions, mixed numbers, and decimals and be able to apply them to problem situations.

Students will explore the concepts of fractions, mixed numbers, and decimals and be able to apply them to problem situations.

Sample Saxon lessons:  19, 28, 39, 41, 59, 83, 96, 97, 111, 112, 127

 

 

Through teacher observation, oral interview, written assessment students will explore the concepts of fractions, mixed numbers, and decimals and be able to apply them to problem situations.

 

MA1

3.2, 3.3

 

 

Missouri Frameworks

 

District Skill Competency

Activities

Assessment

Content

Standards

Performance

Standards

VI, a

29.  Students will describe, model, draw, and classify shapes.

Students will describe, model, draw, and classify shapes.

Sample Saxon lessons:  6, 18, 21, 24, 57, 60-2, 80-2, 85-2

Through teacher observation, oral interview, written assessment students will describe, model, draw, and classify shapes.

 

MA2

1.4, 1.6, 2.1

VI, b

30.  Students will investigate and predict the results of combining, subdividing, and changing shapes.

Students will investigate and predict the results of combining, subdividing, and changing shapes.

Sample Saxon lessons:  18, 24, 80-2

 

Through teacher observation, oral interview, written assessment students will investigate and predict the results of combining, subdividing, and changing shapes.

 

MA2

1.1, 1.6, 3.1

VI, c

31.  Students will visualize, draw, and compare shapes.

Students will visualize, draw, and compare shapes.

Sample Saxon lessons:  9, 18, 24, 60-2, 65-2, 70-2, 80-2, 85-2, 108, 114

 

Through teacher observation, oral interview, written assessment students will visualize, draw, and compare shapes.

 

MA2

1.8, 2.1

VI, d

32.  Students will connect geometric ideas to number and measurement ideas.

Students will connect geometric ideas to number and measurement ideas.

Sample Saxon lessons:  9, 55-2, 100-2, 102,  104, 115-2, 129, 132,

Through teacher observation, oral interview, written assessment students will connect geometric ideas to number and measurement ideas.

 

MA2

1.6, 3.5, 4.1

VI, e

33.  Students will explore geometry in their world.

Students will explore geometry in their world.

Sample Saxon lessons:  108, 118

 

 

Through teacher observation, oral interview, written assessment students will explore geometry in their world.

 

MA2

1.10, 2.4

VI, f

34.  Students will investigate concepts of lines, angles, similarity, congruence, and symmetry.

Students will investigate concepts of lines, angles, similarity, congruence, and symmetry.

Sample Saxon lessons:  33,  52, 65-2, 70-2, 108, 114,  118

 

Through teacher observation, oral interview, written assessments students will investigate concepts of lines, angles, similarity, congruence, and symmetry.

 

MA2