LOGAN-ROGERSVILLE R-VIII MATHEMATICS CURRICULUM

6th Grade

 

COURSE RATIONALE

The skills taught in sixth grade math benefit students in many ways.  Logan-Rogersville Middle School strives to provide students with real-life experiences, and this philosophy is portrayed in sixth grade math by teaching students to solve problems by learning the basic skills of math.  The basic math skills taught in sixth grade math will also help provide students with a wider based of knowledge, which is required for the computer age in which we now live.

 

COURSE DESCRIPTION

          The major units of study in sixth grade math include the following:  addition and subtraction of whole numbers, multiplication of whole numbers and decimals, division of whole numbers, graphing and statistics, division of decimals, measurement and geometry, fractions, ratio, proportions, probability, percent, area, volume, and integers.

 

COURSE COMPETEICNES

  1. Model situations using a variety of verbal and visual methods.
  2. Recognize, understand, and use mathematical definitions, including the role of definitions.
  3. Use logical thinking when working problems involving space, proportions, and graphs.
  4. Analyze problems and use various, models to understand and justify their conclusions.
  5. Apply whole number operations to all rational numbers (such as integers, and fractions, decimals).
  6. Develop, analyze, and explain procedures for computation and techniques for estimation.
  7. Develop, analyze, and explain methods for solving proportions.
  8. Select and use appropriate methods of computation to reflect upon solutions, strategies, and results.
  9. Construct numerical information and relationships on graphs.
  10. Critique and explore various methods used to collect, organize, and analyze data.
  11. Make, read, and interpret multiple representations including tables, charts, and graphs of data.
  12. Plan and conduct experiments to make conjectures and predict outcomes.
  13. Analyze how the sample space used to make predictions could affect the outcome and resulting decisions.
  14. Investigate and explain appropriate applications for experimental and theoretical probabilities.
  15. Use real-world and mathematical problem situations to develop and apply number theory concepts (such as primes, factors, and multiples).
  16. Develop Venn or student-developed diagrams as an organizing tool for problem solving.

 

Grade and/or class:  6th Grade

Date of Last Revision:  2002-2003

Writer:  Jon Bergmann

 

Students will be able to

District Skill Competency:  1.  Model situations using a variety of verbal and visual methods.

Frameworks Addressed

Activities

Assessment

Content Standards

Performance Standards

II. a

Through classroom instruction, teacher modeling, and homework assignments, students will model situations using a variety of methods.

Individually students will model situations using a variety of verbal and visual methods.

MA1

1.8, 2.1

 

 

District Skill Competency:  2.  Recognize, and use mathematical definitions, including the role of definitions.

Frameworks Addressed

Activities

Assessment

Content Standards

Performance Standards

II.d

Through classroom instruction, notetaking, and homework assignments, students will recognize the importance of math ideas and the role of definitions.

Individually students will use mathematical definitions.

MA1

2.2, 2.3

 

District Skill Competency:  3.  Demonstrate logical thinking when working problems involving space, proportions, and graphs.

Frameworks Addressed

Activities

Assessment

Content Standards

Performance Standards

III. c

Through classroom instruction, teacher modeling, and homework assignments, students will demonstrate logical thinking when working problems involving space, proportions and graphs.

Individually students will demonstrate logical thinking with proportions and graphs.

MA1

MA5

1.6 1.8

 

 

 

 

District Skill Competency:  4.  Analyze problems and use various models to understand and justify their conclusions.

Frameworks Addressed

Activities

Assessment

Content Standards

Performance Standards

VI. a

Through classroom instruction, teacher modeling, and homework assignments, students will analyze problems and use various models to understand and justify their conclusions.

Individually students will analyze problems and justify them answers.

MA1

1.6, 2.1

 

 

District Skill Competency:  5. Apply whole number operations to all rational numbers.

Frameworks Addressed

Activities

Assessment

Content Standards

Performance Standards

V. a

Through classroom instruction, teacher modeling, group work, and homework assignments, students will apply whole number operations to all rational numbers.

Individually students will apply whole number operations to all rational numbers.

MA1

3.2, 3.3

 

District Skill Competency:  6.  Develop, analyze, and explain procedures for computation and techniques for estimation.

Frameworks Addressed

Activities

Assessment

Content Standards

Performance Standards

V. e

Through classroom instruction, teacher modeling, and cooperative learning, students will develop, analyze, and explain procedure for computation and techniques for estimation.

Individually students will develop, analyze, and explain procedures for computation and techniques for estimation.

MA1

1.7, 3.3

 

 

District Skill Competency:  7.  Develop, analyze, and explain methods for solving proportions.

Frameworks Addressed

Activities

Assessment

Content Standards

Performance Standards

V. f

Through classroom instruction, teacher modeling, and homework assignments, students will develop, analyze and explain methods for solving proportions.

Individually students will develop, analyze, and explain methods of solving proportions.

MA1

2.3, 3.3

 

 

District Skill Competency:  8. Select and use appropriate methods of computation to reflect upon solutions, strategies, and results.

Frameworks Addressed

Activities

Assessment

Content Standards

Performance Standards

V. h

Through classroom instruction, teacher modeling, and homework assignments, students will select appropriate methods of computation and reflect upon the results.

Individually students will select the appropriate methods of computation, and assess and evaluate the solutions, strategies, and results.

MA1

3.3, 3.6

 

District Skill Competency:  9.   Construct numerical information and relationships on graphs.

Frameworks Addressed

Activities

Assessment

Content Standards

Performance Standards

V.i

Through classroom instruction, teacher modeling, and homework assignments, students will construct numerical information and relationships on graphs.

Individually students will construct numerical relationships in one- and two-dimensional graphs.

MA1

2.1, 2.7

 

 

District Skill Competency:  10.  Critique and explore various methods used to collect, organize, and analyze data.

Frameworks Addressed

Activities

Assessment

Content Standards

Performance Standards

VII. a

Through classroom instruction, teacher modeling, and homework assignments, students will critique and explore various methods used to collect, organize, and analyze data.

Individually students will critique methods used to collect, organize, and analyze data.

MA3

1.8

 

District Skill Competency:  11.  Make, read, and interpret multiple representations including tables, charts, and graphs of data.

Frameworks Addressed

Activities

Assessment

Content Standards

Performance Standards

VII. b

Through classroom instruction, teacher modeling, and homework assignments, students will make, read, and interpret multiple representations including tables, charts, and graphs of data.

Individually students will make, read, and interpret multiple representations.

MA3

1.8

 

District Skill Competency:  12.  Plan and conduct experiments to make conjectures and predict outcomes.

Frameworks Addressed

Activities

Assessment

Content Standards

Performance Standards

VII. g

Through classroom instruction, teacher modeling, and homework assignments, students will plan and conduct experiments to make conjectures and predict outcomes.

Individually student will develop, execute, and investigate experiments to make conjectures and predict outcomes.

MA3

1.3, 3.6

 

 

District Skill Competency:  13.  Analyze how the sample space used to make predictions could affect the outcomes and resulting decisions.

Frameworks Addressed

Activities

Assessment

Content Standards

Performance Standards

VII. h

Through classroom instruction, teacher modeling, and homework assignments, students will analyze how the sample space used to make predictions could affect the outcomes and resulting decisions.

Individually student will analyze and discuss different systems and explain need, characteristics and use of some in the real world.

MA3

1.3 3.6

 

District Skill Competency:  14. Investigate and explain appropriate applications for experimental and theoretical probabilities.

Frameworks Addressed

Activities

Assessment

Content Standards

Performance Standards

VII. i

Through lecture, notes, and discussion, students will study and use algebraic properties to solve problems develop shortcuts and estimate.

Individually students will investigate appropriate applications for experimental and theoretical probabilities.

MA3

1.7, 3.6

 

District Skill Competency:  15.  Use real-world and mathematical problem situations to develop and apply number theory concepts.

Frameworks Addressed

Activities

Assessment

Content Standards

Performance Standards

IX. c

Through classroom instruction, teacher modeling, cooperative learning, and homework assignments, students will use real-world and math problem solving situations to develop and apply number theory concepts.

Individually students will use real-world problems to develop and apply number theory concepts.

MA5

1.10  3.3

 

 

District Skill Competency:  16.  Develop Venn or student-developed diagram as an organizing tool for problem solving.

Frameworks Addressed

Activities

Assessment

Content Standards

Performance Standards

X. a

X. c.

Through lecture, notes, and discussion, students will study and identify patterns, predicting how it would continue and draw conclusions and write rule.

Individually students will identify patterns and use inductive reasoning to continue patterns and draw conclusions.

MA6

1.6, 3.5