mathematics common core georgia performance standards ccgps gacis fall conference september 22, 2010...
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Mathematics Common Core
Georgia Performance StandardsCCGPS
GACIS Fall ConferenceSeptember 22, 2010
Brad Bryant, State Superintendent of Schools“We will lead the nation in improving student achievement.”
There are many ways to organize curricula.
The challenge, now rarely met, is to avoid those that distort mathematics and turn off students.
-Steen 2007
Brad Bryant, State Superintendent of Schools“We will lead the nation in improving student achievement.” 2
Brad Bryant, State Superintendent of Schools“We will lead the nation in improving student achievement.” 3
WHY?
WHAT?
WHEN?
HOW?
Why is the Common Core State Standards Initiative
important?
• Disparate standards create confusing expectations across the states.
• Global competitive edge is lagging among students in the US.
• Workforce skills do not match 21st century workplace demands.
Brad Bryant, State Superintendent of Schools“We will lead the nation in improving student achievement.” 4
Why are the Common Core State Standards for Mathematics right for
Georgia?
Previous work with the GPS has prepared Georgia for the implementation of the CCSS.
Prior teacher and administrator GPS training ensures a smooth transition.
Although some content may be in different grade levels in the CCSS, all of the standards are addressed in the GPS.
CCSS expectations are consistent with a single/high-rigor diploma requirement for all students.
Brad Bryant, State Superintendent of Schools“We will lead the nation in improving student achievement.” 5
100% of the Common Core K-12 standards in ELA and mathematics must be adopted within 3 years.
States are allowed to add an additional 15% to the Common Core.
A state will have “adopted” when the standards authorizing body (in Georgia, the State Board of Education) within the state has taken formal action to adopt and implement the Common Core.
States have flexibility as to how they States have flexibility as to how they communicate adoption relative to state standards communicate adoption relative to state standards (i.e., GPS).(i.e., GPS).
How is adoption defined?
Each Board Passed Resolutions in Support of the Adoption of CCSS:
Bright From the Start: Georgia Department of Early Care and Learning
Governor's Office of Student Achievement Georgia Professional Standards Commission Georgia Student Finance Commission Technical College System of Georgia University System of Georgia
Common Core for Mathematics
Grade-Level Standards K-8 grade-by-grade standards organized by domain 9-12 high school standards organized by conceptual
categoriesStandards for Mathematical Practice
Describe mathematical “habits of mind” Provide standards for mathematical proficiency: reasoning,
problem solving, modeling, decision making, and engagement
Connect with content standards in each grade
8Brad Bryant, State Superintendent of Schools“We will lead the nation in improving student achievement.”
How were the K-12 Standards developed?
• Standards Development Work Groups and Feedback Groups in both ELA and Mathematics, as well as a Validation Committee, were charged with the development of the Common Core State Standards.
• Multiple rounds of feedback from states and national organizations representing K-12, post-secondary, civil rights, ELL, SWD, and others, have provided ongoing input.
• Georgia has been actively involved in the process at every input opportunity.
Brad Bryant, State Superintendent of Schools“We will lead the nation in improving student achievement.” 9
The K- 8 Mathematics Standards
The K-5 standards provide students with a solid foundation in whole numbers, addition, subtraction, multiplication, division, fractions and decimals.
The 6-8 standards describe robust learning in geometry, algebra, and probability and statistics.
Modeled after the focus of standards from high-performing nations, the standards for grades 7 and 8 include significant algebra and geometry content.
Students who have completed 7th grade and mastered the content and skills will be prepared for algebra in 8th grade.
10Brad Bryant, State Superintendent of Schools“We will lead the nation in improving student achievement.”
The High School Mathematics Standards
Call on students to practice applying mathematical ways of thinking to real world issues and challenges;
Require students to develop a depth of understanding and ability to apply mathematics to novel situations, as college students and employees regularly are called to do;
Emphasize mathematical modeling, the use of mathematics and statistics to analyze empirical situations, understand them better, and improve decisions;
Identify the mathematics that all students should study in order to be college and career ready.
11Brad Bryant, State Superintendent of Schools“We will lead the nation in improving student achievement.”
12
Model Course Pathways for Mathematics
Pathway ATraditional in U.S.
Geometry
Algebra I
Courses in higher level mathematics: Precalculus, Calculus (upon completion of Precalculus), Advanced Statistics, Discrete Mathematics, Advanced Quantitative Reasoning, or other
courses to be designed at a later date, such as additional career technical courses.
Pathway BIntegrated approach
Mathematics II
Mathematics I
Algebra II Mathematics III
Thomas Fordham InstituteGPS and CCSS in 2010
13Brad Bryant, State Superintendent of Schools“We will lead the nation in improving student achievement.”
Georgia: Grade A-Clarity and Specificity
3/3Content and Rigor
6/7Total GPS Score 9/10
Georgia is one of eight states receiving at least 9/10 points.
CCSS: Grade A-Clarity and Specificity 2/3Content and Rigor 7/7Total CCSS Score 9/10
What about the alignment of CCSS with GPS?
14Brad Bryant, State Superintendent of Schools“We will lead the nation in improving student achievement.”
90%
10%
What percentage of Georgia's mathematics standards appear in the Common Core?
Matched State Standards
Unmatched State Standards
How does CCSS compare to GPS ?
15Brad Bryant, State Superintendent of Schools“We will lead the nation in improving student achievement.”
Example Common Core G-CO 8: Understand congruence Understand congruence in terms of rigid motionin terms of rigid motion. Explain how the criteria for triangle congruence (ASA, SAS, and SSS) follow the definition of congruence in terms of rigid motions.GPS MM1G3c: Students will discover, prove, and Students will discover, prove, and apply properties of triangles, quadrilaterals, and apply properties of triangles, quadrilaterals, and other polygons.other polygons. Understand, use , and prove theorems for triangles (SSS, SAS, ASA, AAS, HL)
How does CCSS compare to GPS ?
16Brad Bryant, State Superintendent of Schools“We will lead the nation in improving student achievement.”
ExampleCommon Core F-BF4b: Find inverse Find inverse
functions. functions. Verify by composition that one function is the inverse of another.
GPS M2A5d: Students will explore inverses Students will explore inverses of functions.of functions. Use composition to verify that functions are inverses of each other.
CCGPS Draft Alignment Documents
Brad Bryant, State Superintendent of Schools“We will lead the nation in improving student achievement.” 17
CCGPS Draft Alignment Documents
Brad Bryant, State Superintendent of Schools“We will lead the nation in improving student achievement.” 18
CCGPS Mathematics Timeline
Brad Bryant, State Superintendent of Schools“We will lead the nation in improving student achievement.” 19
September Precision Review
Webinars
CCGPS Courses & Pathways
Brad Bryant, State Superintendent of Schools“We will lead the nation in improving student achievement.” 20
Brad Bryant, State Superintendent of Schools“We will lead the nation in improving student achievement.”
We have a choice. We can simply defend what we have…
or create what we need.
Sixteen TrendsTheir Profound Impact on Our Future
by Gary Marx
Brad Bryant, State Superintendent of Schools“We will lead the nation in improving student achievement.”
Brad Bryant, State Superintendent of Schools“We will lead the nation in improving student achievement.”
Questions
Brad Bryant, State Superintendent of Schools“We will lead the nation in improving student achievement.”
Contact Information
Sandi [email protected]
Jessica [email protected]
