2009 Mathematics Standards of Leaning Training Institutes - PowerPoint PPT Presentation


Title: 2009 Mathematics Standards of Leaning Training Institutes


1
2009 Mathematics Standards of Leaning Training
Institutes
  • Middle School Mathematics
  • Grade 6

Virginia Department of Education
2
Trainers
  • In Reston
  • Jennifer Baker, Portsmouth City
  • In Richmond
  • Catherine Allmond, Prince George
  • In Roanoke
  • Jennifer Hatch, Danville

3
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.

4
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
5
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
6
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.

7
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.

8
Standard 6.4
Number and Number Sense
  • The student will demonstrate multiple
    representations of multiplication and division of
    fractions.

9
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
10
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
11
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
12
Standard 6.8
Computation and Estimation
  • The student will evaluate whole number numerical
    expressions, using the order of operations.

from 7th grade
13
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
14
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.

15
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
16
Standard 6.12
Geometry
  • The student will determine congruence of
    segments, angles, and polygons.

was previous 6.15
17
Standard 6.13
Geometry
  • The student will describe and identify properties
    of quadrilaterals.

a consolidation of concepts from 6.14 and 7.9
18
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
19
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.

20
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.

21
Standard 6.17
Patterns, Functions, and Algebra
  • The student will identify and extend geometric
    and arithmetic sequences.

similar to the previous 6.21
22
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
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
24
Standard 6.20
Patterns, Functions, and Algebra
  • The student will graph inequalities on a number
    line.

25
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.
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2009 Mathematics Standards of Leaning Training Institutes

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Prime and composite numbers moved to 5th grade. Addition and subtraction of fractions moved to 4th and 5th ... Old 6.6 and 6.7 Old 6.6 Completely new for 6th Grade. – PowerPoint PPT presentation

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Title: 2009 Mathematics Standards of Leaning Training Institutes


1
2009 Mathematics Standards of Leaning Training
Institutes
  • Middle School Mathematics
  • Grade 6

Virginia Department of Education
2
Trainers
  • In Reston
  • Jennifer Baker, Portsmouth City
  • In Richmond
  • Catherine Allmond, Prince George
  • In Roanoke
  • Jennifer Hatch, Danville

3
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.

4
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
5
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
6
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.

7
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.

8
Standard 6.4
Number and Number Sense
  • The student will demonstrate multiple
    representations of multiplication and division of
    fractions.

9
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
10
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
11
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
12
Standard 6.8
Computation and Estimation
  • The student will evaluate whole number numerical
    expressions, using the order of operations.

from 7th grade
13
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
14
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.

15
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
16
Standard 6.12
Geometry
  • The student will determine congruence of
    segments, angles, and polygons.

was previous 6.15
17
Standard 6.13
Geometry
  • The student will describe and identify properties
    of quadrilaterals.

a consolidation of concepts from 6.14 and 7.9
18
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
19
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.

20
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.

21
Standard 6.17
Patterns, Functions, and Algebra
  • The student will identify and extend geometric
    and arithmetic sequences.

similar to the previous 6.21
22
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
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
24
Standard 6.20
Patterns, Functions, and Algebra
  • The student will graph inequalities on a number
    line.

25
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.
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