Transcript school.fultonschools.org

COMMON CORE MATHEMATICS
FULTON COUNTY SCHOOLS
Essential Questions
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What is my child learning in math?
How different are the new Common
Core Standards from the Georgia
Performance Standards?
Are the expectations and assessments
different?
How does Continuous Achievement
factor in?
Promise of Common Core
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CCGPS defines the knowledge and skills students should
master during their K-12 education so that they will graduate
high school able to succeed in entry-level, credit-bearing
academic college courses and in workforce training programs.
The standards:
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Are aligned with college and work expectations
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Are clear, understandable, and consistent
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Include rigorous content and application of knowledge through higher-order
skills
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Build upon strengths and lessons of current state standards
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Are informed by other top performing countries so that all students are
prepared to succeed in a global economy and society; and
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Are evidence-based
CCGPS MATHEMATICS
STANDARDS
Overview of CCGPS
Mathematics Standards
Written to assume mastery, in any given
year, of the preceding year’s standards
 Outlined in three distinct sections
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 Standards
of mathematical practice
 Standards for mathematical content for K-8
 Standards for mathematical content for 9-12
K-5 Domains
K
Grade 1
Grade 2
Grade 3
Grade 4
Grade 5
Operations
and
Algebraic
Thinking (OA)
Operations
and
Algebraic
Thinking (OA)
Operations
and
Algebraic
Thinking (OA)
Operations
and
Algebraic
Thinking (OA)
Operations
and
Algebraic
Thinking (OA)
Operations
and
Algebraic
Thinking (OA)
Number and
Operations in
Base Ten
(NBT)
Number and
Operations in
Base Ten
(NBT)
Number and
Operations in
Base Ten
(NBT)
Number and
Operations in
Base Ten and
Fractions (NF)
Number and
Operations in
Base Ten and
Fractions (NF)
Number and
Operations in
Base Ten and
Fractions (NF)
Measurement
and Data
(MD)
Measurement
and Data
(MD)
Measurement
and Data
(MD)
Measurement
and Data
(MD)
Measurement
and Data
(MD)
Measurement
and Data
(MD)
Counting and
Cardinality
(CC)
Geometry (G) Geometry (G) Geometry (G) Geometry (G) Geometry (G) Geometry (G)
6-8 Domains
Grade 6
Ratios and
Proportional
Relationships (RP)
The Number System
(NS)
Grade 7
Ratios and
Proportional
Relationships (RP)
The Number System
(NS)
Grade 8
Ratios and
Proportional
Relationships (RP)
The Number System
(NS)
Expressions &
Equations (EE)
Expressions &
Equations (EE)
Expressions &
Equations (EE)
Geometry (G)
Geometry (G)
Geometry (G)
Statistics &
Probability (SP)
Statistics &
Probability (SP)
Statistics &
Probability (SP)
Functions (F)
9-12 Mathematics Content
Listed in Conceptual
Categories
(rather than grade levels
or courses)
Number and
Quantity
Algebra
Functions
Modeling
Geometry
Statistics and
Probability
Traditional Pathway
Integrated Pathway
GADOE has determined Georgia will implement a
Hybrid Pathway for CCGPS.
Algebra II
Mathematics III
Geometry
Mathematics II
High School Algebra I
Mathematics I
Pathway A: Consists of two
algebra courses and a
geometry course, with some
data, probability, and
statistics infused throughout
Pathway B: Typically seen
internationally, consists of a
sequence of three courses,
each of which treats aspects
of algebra, geometry, and
data, probability, and
statistics
Standards of Mathematical Practice
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Make sense of problems and persevere in solving
them
Reason abstractly and quantitatively
Construct viable arguments and critique the reasoning
of others
Model with mathematics
Use appropriate tools strategically
Attend to precision
Look for and make use of structure
Look for and express regularity in repeated reasoning
Kindergarten – Major Clusters
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Counting and Cardinality
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Know number names and the count sequence.
Count to tell the number of objects.
Compare numbers.
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Operations and Algebraic Thinking
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Understand addition as putting together and adding to, and
understand subtraction as taking apart and taking from.
Number and Operations in Base Ten
Work with numbers 11-19 to gain foundations for place
value.
First Grade – Major Clusters
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Operations and Algebraic Thinking
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Represent and solve problems involving addition and subtraction.
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Understand and apply properties of operations and the relationship
between addition and subtraction.
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Add and subtract within 20.
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Work with addition and subtraction equations.
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Number and Operations in Base Ten
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Extending the counting sequence.
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Understand place value.
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Use place value understanding and properties of operations to add and
subtract.
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Measurement and Data
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Measure lengths indirectly and by iterating length units.
Second Grade – Major Clusters
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Operations and Algebraic Thinking
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Represent and solve problems involving addition and
subtraction.
Add and subtract within 20.
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Number and Operations in Base Ten
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Understand place value.
Use place value understanding and properties of operations
to add and subtract.
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Measurement and Data
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Measure and estimate lengths in standard units.
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Relate addition and subtraction to length.
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Third Grade – Major Clusters
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Operations and Algebraic Thinking
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Represent and solve problems involving multiplication and division.
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Understand properties of multiplication and the relationship between
multiplication and division.
Multiply and divide within 100.
Solve problems involving the four operations, and identify and explain
patterns in arithmetic.
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Number and Operations—Fractions
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Develop an understanding of fractions as numbers.
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Measurement and Data
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Solve problems involving measurement and estimation of intervals of
time, liquid volumes, and masses of objects.
Geometric measurement: understand concepts of area and relate area
to multiplication and addition.
Fourth Grade – Major Clusters
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Operations and Algebraic Thinking
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Use the four operations with whole numbers to solve problems.
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Number and Operations in Base Ten
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Generalize place value understanding for multi-digit whole numbers.
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Use place value understanding and properties of operations to perform
multi-digit arithmetic.
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Number and Operations--Fractions
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Extend understanding of fraction equivalence and ordering.
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Build fractions from unit fractions by applying and extending previous
understandings of operations on whole numbers.
Understand decimal notation for fractions, and compare decimal
fractions.
Fifth Grade – Major Clusters
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Number and Operations in Base Ten
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Understand the place value system.
Perform operations with multi-digit whole numbers and
with decimals to hundredths.
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Number and Operations—Fractions
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Use equivalent fractions as a strategy to add and subtract
fractions.
Apply and extend previous understandings of
multiplication and division to multiply and divide fractions.
Measurement and Data
Geometric measurement: understand concepts of volume
and relate volume to multiplication and to addition.
Required Fluencies in K-6
Grade
Standard
Required Fluency
K
K.OA.5
Add/subtract within 5
1
1.OA.6
Add/subtract within 10
2
2.OA.2
2.NBT.5
Add/subtract within 20 (know single-digit sums from
memory)
Add/subtract within 100
3
3.OA.7
3.NBT.2
Multiply/divide within 100 (know single-digit products
from memory)
Add/subtract within 1000
4
4.NBT.4
Add/subtract within 1,000,000
5
5.NBT.5
Multi-digit multiplication
6
6.NS.2,3
Multi-digit division
Multi-digit decimal operations
16
CCGPS Expectations
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Literacy Component – real world scenarios include
word problems, sometimes lengthy ones!
Increased Rigor – multi-step problems that require
problem solving and mental math
Problems that require students to justify or explain
their answers
Different formats for assessment – selected
response, short answer, T/F, etc.
HOW DOES CONTINUOUS
ACHIEVEMENT FIT IN?