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State Board of EducationState Board of EducationOctober 18, 2007October 18, 2007

Draft Content Standards Draft Content Standards

for K-8 Mathematicsfor K-8 MathematicsFirst ReadingFirst Reading

C. Michelle Hooper, Jon WiensC. Michelle Hooper, Jon WiensOffice of Educational Improvement and InnovationOffice of Educational Improvement and Innovation

Oregon Department of EducationOregon Department of Education

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Math Standards RevisionMath Standards RevisionK-8 Math Standards K-8 Math Standards Review began in October 2006Review began in October 2006 Adoption in December 2007Adoption in December 2007

High School StandardsHigh School Standards Review began in January 2007Review began in January 2007 Adoption in March 2008Adoption in March 2008

* - The current standards were adopted in April 2002

* - Accountability for the new standards won’t begin until Fall 2009 at the earliest.

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NCTM Focal PointsNCTM Focal Points

Three focal points at each grade K-8. Each Three focal points at each grade K-8. Each had to pass three rigorous tests: had to pass three rigorous tests:

Leverage: Leverage: Is it important for further study Is it important for further study in mathematics and for use in in mathematics and for use in applications in and outside of school?applications in and outside of school?

Endurance: Endurance: Does it connect logically with Does it connect logically with the mathematics in earlier and later the mathematics in earlier and later grade levels?grade levels?

Readiness: Readiness: Does it “fit” with what is Does it “fit” with what is known about learning mathematics?known about learning mathematics?

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NCTM ConnectionsNCTM Connections

Focal PointsFocal Points also lists “connections” at each also lists “connections” at each grade. Their purposes are to:grade. Their purposes are to:

Recognize the need for introductory and Recognize the need for introductory and continuing experiences related to focal continuing experiences related to focal points identified for other grade levelspoints identified for other grade levels

Identify ways in which a grade level’s focal Identify ways in which a grade level’s focal points can support, and be supported by, points can support, and be supported by, learning in relation to strands that are not learning in relation to strands that are not focal points at that grade level.focal points at that grade level.

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Focal Points + ConnectionsFocal Points + Connections

Taken as a whole, the focal points Taken as a whole, the focal points and connections include nearly all of and connections include nearly all of the mathematics contained in 2000 the mathematics contained in 2000 NCTM Standards.NCTM Standards.

However, However, Focal PointsFocal Points prioritizes the prioritizes the standards, indicating which standards, indicating which standards are essential at each standards are essential at each grade.grade.

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Core Standard DefinitionCore Standard Definition

Oregon's Core Standards will: Oregon's Core Standards will: Focus instruction on a small set of key Focus instruction on a small set of key

learning objectives each year, resulting in learning objectives each year, resulting in greater depth of teaching and learning. greater depth of teaching and learning.

In-depth understanding of each Core In-depth understanding of each Core Standard will lead to, and be supported by, Standard will lead to, and be supported by, understanding of the content standards.understanding of the content standards.

Core Standards will show clear progression Core Standards will show clear progression in knowledge and skills.in knowledge and skills.

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Guiding PhilosophyGuiding Philosophy Core Standards are not intended to Core Standards are not intended to

require the entire year. require the entire year. Core Standards will form the basis of Core Standards will form the basis of

statewide assessments; statewide assessments; Core Standards clearly communicate to Core Standards clearly communicate to

teachers, parents, and students the teachers, parents, and students the mathematical expectations at each grade.mathematical expectations at each grade.

““Connections” provide additional topics, Connections” provide additional topics, allowing individualized instruction to allowing individualized instruction to deepen understanding of core standards.deepen understanding of core standards.

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Grade 7 Core StandardsGrade 7 Core Standards7.17.1 Number Number and and AlgebraAlgebra::

Develop an understanding of Develop an understanding of operations on all rational numbers operations on all rational numbers and solving linear equations.and solving linear equations.

7.27.2 NumberNumber, , AlgebraAlgebra and and GeometryGeometry:: Develop an understanding of and Develop an understanding of and apply proportionality, including apply proportionality, including similarity.similarity.

7.3 7.3 MeasurementMeasurement and and GeometryGeometry:: Develop an understanding of and Develop an understanding of and use formulas to determine surface use formulas to determine surface area and volume.area and volume.

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Grade 8 Core StandardsGrade 8 Core Standards8.1 8.1 AlgebraAlgebra: :

Analyze and represent linear Analyze and represent linear functions, and solve linear equations functions, and solve linear equations and systems of linear equations.and systems of linear equations.

8.2 8.2 Data AnalysisData Analysis and and AlgebraAlgebra: : Analyze and summarize data sets.Analyze and summarize data sets.

8.3 8.3 GeometryGeometry and and MeasurementMeasurement: : Analyze two- and three-dimensional Analyze two- and three-dimensional spaces and figures by using distance spaces and figures by using distance and angle.and angle.

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Grade 7 Grade 8 Grade 7 Grade 8

7.1 Rational 7.1 Rational 8.1 Linear 8.1 Linear NumbersNumbers EquationsEquations

7.2 Proportions7.2 Proportions 8.2 Data Analysis 8.2 Data Analysis

7.3 Volume and 7.3 Volume and 8.3 Distance and 8.3 Distance and surface areasurface area AnglesAngles

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Vertical Vertical articulation articulation of the Core of the Core StandardsStandards

The development The development of concepts is most of concepts is most clear if you follow clear if you follow the chart vertically, the chart vertically, especially in grades especially in grades K-5.K-5.

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Shading indicates coverage in our current standards, Shading indicates coverage in our current standards, Numbers indicate coverage in the draft standards.Numbers indicate coverage in the draft standards.

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Comparison to Comparison to International International Standards*Standards*

Typically State Typically State Standards fill in Standards fill in the nearly the the nearly the entire gridentire grid

*Singapore, Korea, Japan, *Singapore, Korea, Japan, Hong Kong, Belgium, and the Hong Kong, Belgium, and the Czech Republic.Czech Republic.

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Comparison of Comparison of the Current the Current (April 2002) (April 2002) standards to standards to TIMSSTIMSS

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