2009 Mathematics Standards of Leaning Training

Institutes

- Middle School Mathematics
- Grade 6

Virginia Department of Education

Trainers

- In Reston
- Jennifer Baker, Portsmouth City
- In Richmond
- Catherine Allmond, Prince George
- In Roanoke
- Jennifer Hatch, Danville

Objectives

- To give an overview of the 2009 Mathematics

Standards of Learning, highlight additions,

deletions, and new foci. - To provide sample activities that support the new

standards.

Overview of Changes

Reporting Category of Standards (2001) of Standards (2009)

Number and Number Sense 5 5

Computation and Estimation 3 3

Measurement 5 2

Geometry 4 3

Probability and Statistics 3 3

Patterns, Functions, and Algebra 3 4

Total 23 20

Standard 6.1

Number and Number Sense

- The student will describe and compare data, using

ratios, and will use appropriate notations, such

as a/b, a to b, and ab.

From the previous 6.2

Standard 6.2

Number and Number Sense

A consolidation of content from previous 6.1,

6.2, 6.4, and 7.1

- The student will
- a) investigate and describe fractions, decimals

and percents as ratios - b) identify a given fraction, decimal or percent

from a representation - c) demonstrate equivalent relationships among

fractions, decimals, and percents and - d) compare and order fractions, decimals, and

percents.

Standard 6.3

Number and Number Sense

a) and b) came from previous 6.5

- The student will
- a) identify and represent integers
- b) order and compare integers
- c) identify and describe absolute value of

integers.

Standard 6.4

Number and Number Sense

- The student will demonstrate multiple

representations of multiplication and division of

fractions.

Standard 6.5

Number and Number Sense

- The student will investigate and describe

concepts of positive exponents and perfect

squares.

part of previous 6.22

Standard 6.6

Computation and Estimation

- The student will
- a) multiply and divide fractions and mixed

numbers and - b) estimate solutions and then solve single and

multistep practical problems that involve

addition, subtraction, multiplication and

division of fractions.

from previous 6.6 and 6.7

Standard 6.7

Computation and Estimation

- The student will solve single and multistep

practical problems involving addition,

subtraction, multiplication and division of

decimals.

was previous 6.8

Standard 6.8

Computation and Estimation

- The student will evaluate whole number numerical

expressions, using the order of operations.

from 7th grade

Standard 6.9

Measurement

- The student will make ballpark comparisons

between the U.S. Customary System of measurement

and the metric system.

change in emphasis with ballpark comparisons

between systems

Standard 6.10

Measurement

a) through c) are from previous 6.11 and 6.12

- The student will
- a) define pi (?) as the ratio of the

circumference of a circle to its diameter - b) solve practical problems involving

circumference and area of a circle given the

diameter or radius - c) solve practical problems involving area and

perimeter and - d) describe and determine the volume and surface

area of a rectangular prism.

Standard 6.11

Geometry

- The student will
- a) identify the coordinates of a point in a

coordinate plane and - b) graph ordered pairs in a coordinate plane.

was the previous 7.12

Standard 6.12

Geometry

- The student will determine congruence of

segments, angles, and polygons.

was previous 6.15

Standard 6.13

Geometry

- The student will describe and identify properties

of quadrilaterals.

a consolidation of concepts from 6.14 and 7.9

Standard 6.14

Probability and Statistics

- The student, given a problem situation, will
- a) construct circle graphs
- b) draw conclusions and make predictions, using

circle graphs and - c) compare and contrast graphs which present

information from the same data set.

from previous 6.18acomparing and contrasting

should include bar, line and circle graphs of the

same data

Standard 6.15

Probability and Statistics

- The student will
- a) describe mean as balance point and
- b) decide which measure of center is appropriate

for a given purpose.

Standard 6.16

Probability and Statistics

- The student will
- a) compare and contrast dependent and

independent events and

- b) determine probabilities for dependent and

independent events.

Standard 6.17

Patterns, Functions, and Algebra

- The student will identify and extend geometric

and arithmetic sequences.

similar to the previous 6.21

Standard 6.18

Patterns, Functions, and Algebra

- The student will solve one-step linear equations

in one variable, involving whole number

coefficients and positive rational solutions.

from the previous 6.23

Standard 6.19

Patterns, Functions, and Algebra

- The student will investigate and recognize
- a) the identity properties for addition and

multiplication - b) the multiplicative property of zero and
- c) the inverse property for multiplication.

from previous 7.3

Standard 6.20

Patterns, Functions, and Algebra

- The student will graph inequalities on a number

line.

Other highlighted changes

- Common multiples and factors moved to 4th grade.
- Prime and composite numbers moved to 5th grade.
- Addition and subtraction of fractions moved to

4th and 5th grades. - Decimal division moved to 5th grade.
- Scientific notation moved to 7th and 8th grades.
- Angle bisector was deleted.

2009 Mathematics Standards of Leaning Training

Institutes

- Middle School Mathematics
- Grade 6

Virginia Department of Education

Trainers

- In Reston
- Jennifer Baker, Portsmouth City
- In Richmond
- Catherine Allmond, Prince George
- In Roanoke
- Jennifer Hatch, Danville

Objectives

- To give an overview of the 2009 Mathematics

Standards of Learning, highlight additions,

deletions, and new foci. - To provide sample activities that support the new

standards.

Overview of Changes

Reporting Category of Standards (2001) of Standards (2009)

Number and Number Sense 5 5

Computation and Estimation 3 3

Measurement 5 2

Geometry 4 3

Probability and Statistics 3 3

Patterns, Functions, and Algebra 3 4

Total 23 20

Standard 6.1

Number and Number Sense

- The student will describe and compare data, using

ratios, and will use appropriate notations, such

as a/b, a to b, and ab.

From the previous 6.2

Standard 6.2

Number and Number Sense

A consolidation of content from previous 6.1,

6.2, 6.4, and 7.1

- The student will
- a) investigate and describe fractions, decimals

and percents as ratios - b) identify a given fraction, decimal or percent

from a representation - c) demonstrate equivalent relationships among

fractions, decimals, and percents and - d) compare and order fractions, decimals, and

percents.

Standard 6.3

Number and Number Sense

a) and b) came from previous 6.5

- The student will
- a) identify and represent integers
- b) order and compare integers
- c) identify and describe absolute value of

integers.

Standard 6.4

Number and Number Sense

- The student will demonstrate multiple

representations of multiplication and division of

fractions.

Standard 6.5

Number and Number Sense

- The student will investigate and describe

concepts of positive exponents and perfect

squares.

part of previous 6.22

Standard 6.6

Computation and Estimation

- The student will
- a) multiply and divide fractions and mixed

numbers and - b) estimate solutions and then solve single and

multistep practical problems that involve

addition, subtraction, multiplication and

division of fractions.

from previous 6.6 and 6.7

Standard 6.7

Computation and Estimation

- The student will solve single and multistep

practical problems involving addition,

subtraction, multiplication and division of

decimals.

was previous 6.8

Standard 6.8

Computation and Estimation

- The student will evaluate whole number numerical

expressions, using the order of operations.

from 7th grade

Standard 6.9

Measurement

- The student will make ballpark comparisons

between the U.S. Customary System of measurement

and the metric system.

change in emphasis with ballpark comparisons

between systems

Standard 6.10

Measurement

a) through c) are from previous 6.11 and 6.12

- The student will
- a) define pi (?) as the ratio of the

circumference of a circle to its diameter - b) solve practical problems involving

circumference and area of a circle given the

diameter or radius - c) solve practical problems involving area and

perimeter and - d) describe and determine the volume and surface

area of a rectangular prism.

Standard 6.11

Geometry

- The student will
- a) identify the coordinates of a point in a

coordinate plane and - b) graph ordered pairs in a coordinate plane.

was the previous 7.12

Standard 6.12

Geometry

- The student will determine congruence of

segments, angles, and polygons.

was previous 6.15

Standard 6.13

Geometry

- The student will describe and identify properties

of quadrilaterals.

a consolidation of concepts from 6.14 and 7.9

Standard 6.14

Probability and Statistics

- The student, given a problem situation, will
- a) construct circle graphs
- b) draw conclusions and make predictions, using

circle graphs and - c) compare and contrast graphs which present

information from the same data set.

from previous 6.18acomparing and contrasting

should include bar, line and circle graphs of the

same data

Standard 6.15

Probability and Statistics

- The student will
- a) describe mean as balance point and
- b) decide which measure of center is appropriate

for a given purpose.

Standard 6.16

Probability and Statistics

- The student will
- a) compare and contrast dependent and

independent events and

- b) determine probabilities for dependent and

independent events.

Standard 6.17

Patterns, Functions, and Algebra

- The student will identify and extend geometric

and arithmetic sequences.

similar to the previous 6.21

Standard 6.18

Patterns, Functions, and Algebra

- The student will solve one-step linear equations

in one variable, involving whole number

coefficients and positive rational solutions.

from the previous 6.23

Standard 6.19

Patterns, Functions, and Algebra

- The student will investigate and recognize
- a) the identity properties for addition and

multiplication - b) the multiplicative property of zero and
- c) the inverse property for multiplication.

from previous 7.3

Standard 6.20

Patterns, Functions, and Algebra

- The student will graph inequalities on a number

line.

Other highlighted changes

- Common multiples and factors moved to 4th grade.
- Prime and composite numbers moved to 5th grade.
- Addition and subtraction of fractions moved to

4th and 5th grades. - Decimal division moved to 5th grade.
- Scientific notation moved to 7th and 8th grades.
- Angle bisector was deleted.