Download Common Core State Standards

Common Core State Standards
The Times They Are A-Changin’
Agenda
• Commonalities &
Connections
• Determining Differences
• Impacting Instruction
• Necessary Nows
Show-Me Standards &
Mathematics Common Core State Standards
COMMONALITIES &
CONNECTIONS
Common Standards
Show-Me Standards
Common Core
Standards
Knowledge (content)
+ Performance (process)
well-prepared for
future education,
work, and civic
responsibilities
Mathematical Content
+Mathematical Practice
College and Career
Ready
Standards for
Mathematical Practice
1. Make sense of
problems and
persevere in solving
them. (3.1, 3.2)
2. Reason abstractly
and quantitatively.
(3.5, 3.8)
4. Model with
mathematics. (1.10,
3.8)
5. Use appropriate tools
strategically. (1.4, 2.7)
6. Attend to precision.
(2.1, 1.7)
3. Construct viable
7. Look for and make
arguments and
use of structure. (1.7)
critique the reasoning 8. Look for and express
of others. (1.7, 1.8, 3.3,
regularity in repeated
3.5)
reasoning. (1.6)
Red font indicates Show-Me Process standards that align to the CCSS Mathematical Practices Standards.
Standards for
Mathematical
Content
Grade Level
Overview Page
Comparing the GLEs/CLEs
and CCSS
• Neither are curriculum documents
• GLEs/CLEs are assessment specifications that
define assessable content, procedures, and
processes for NCLB mandated assessments
• Both include content, procedures, and processes
that are aligned to the Missouri Show-Me
Standards
• Both are aligned to the National Council of
Teachers of Mathematics K – 8 Curriculum
Focal Points (2006).
Commonalities &
Connections Documents
• Alignment Analysis
• Commonalities
• CCSS not aligned to the v2.0 GLEs and
CLEs
CCSS Mathematics K - 8 Domains
Domain
K
Counting and
Cardinality
K.CC.1, 2, 3, 4a,
4b, 4c, 5, 6, 7
1
2
3
4
8/2011
5
Operations and K.OA.1, 2, 3, 4, 5 1.OA.1, 2, 3, 4,
5, 6, 7, 8
Algebraic Thinking
2.OA.1, 2, 3, 4
3.OA.1, 2, 3, 4,
5, 6, 7, 8, 9
4.OA.1, 2, 3, 4, 5 5.OA.1, 2, 3
K.NBT.1
Numbers and
Operations in Base
Ten
2.NBT.1a, 1b, 2,
3, 4, 5, 6, 7, 8, 9
3.NBT.1, 2, 3
4.NBT.1, 2, 3, 4,
5, 6
5.NBT.1, 2, 3a,
3b, 4, 5, 6, 7
3.NF.1, 2a, 2b,
3a, 3b, 3c, 3d
4.NF.1, 2, 3a,
3b, 3c, 3d, 4a,
4b, 4c, 5, 6, 7
1.NBT.1, 2a, 2b,
2c, 3, 4, 5, 6
1.MD.1, 2, 3, 4
2.MD.1, 2, 3, 4,
5, 6, 7, 8, 9, 10
3.MD.1,2, 3, 4,
4.MD.1, 2, 3, 4,
5a, 5b, 6, 7a, 7b, 5a, 5b, 6, 7
7c, 7d, 8
5.NF.1, 2, 3,
4a, 4b, 5a, 4b,
5a, 5b, 6, 7a,
7b, 7c
5.MD.1, 2, 3a,
3b, 4, 5a, 5b,
5c
1.G.1, 2, 3
2.G.1, 2, 3
3.G.1, 2
5.G1, 2, 3, 4
Numbers and
Operations Fractions
Measurement and K.MD.1, 2, 3
Data
8
7.G1, 2, 3, 4, 5, 8.G.1a, 1b, 1c,
6
2, 3, 4, 5, 6, 7,
8, 9
Ratios and
Proportional
Relationships
6.RP.1, 2, 3a,
3b, 3c, 3d
7.RP.1, 2a, 2b,
2c, 2d, 3
The Number
System
6.NS.1, 2, 3, 4,
5, 6a, 6b, 6c,
7a, 7b, 7c, 7d,
8
6.EE1, 2a, 2b,
2c, 3, 4, 5, 6, 7,
8, 9
7.NS.1a, 1b,
1c, 1d, 2a, 2b,
2c, 2d, 3
6.SP.1, 2, 3, 4,
5a, 5b, 5c, 5d
7.SP.1, 2, 3, 4, 8.SP.1, 2, 3, 4
5, 6, 7a, 7b, 8a,
8b, 8c
Expressions and
Equations
Statistics and
Probability
Functions
4.G.1, 2, 3
7
6.G.1, 2, 3, 4
Geometry
K.G.1, 2, 3, 4, 5,
6
6
8.NS.1, 2,
7.EE.1, 2, 3, 4a, 8.EE.1, 2, 3, 4,
4b
5 ,6, 7a, 7b, 8a,
8b, 8c
8.F.1, 2, 3, 4, 5
CCSS Mathematics Traditional Pathway HS Domains
Conceptual
Category
Number
and
Quantity
Algebra
Functions
and
Models
Domain
Algebra I
The Real Number System
Quantities
The Complex Number System
Vector and Matrix Quantities
N.RN.1, 2, 3
Seeing Structure in Expressions
A.SSE.1a, 1b, 2, 3a, 3b,
3c
A.APR.1
Arithmetic with Polynomials and Rational
Expressions
Creating Equations
Reasoning with Equations and Inequalities
Interpreting Functions
Building Functions
Linear, Quadratic and Exponential Models
Trigonometric Functions
Congruence
Fourth
Course
N.CN.1, 2, 7, (+)8, (+)9
(+)N.CN.3, 4, 5, 6
(+)N.VM.1, 2, 3, 4a, 4b,
4c, 5a, 5b, 6, 7, 8, 9, 10,
11, 12
A.SSE.1a, 1b, 2, 4
A.APR.1, 2, 3, 4 (+)5, 6,
(+)7
A.CED.1, 2, 3, 4
A.CED. 1, 2, 3, 4
A.REI.I, 3, 4a, 4b, 5, 6,
7, 10, 11, 12
F.IF.1, 2, 3, 4, 5, 6, 7a,
7b, 7e, 8a, 8b, 9
F.BF.1a, 1b, 2, 3, 4a
A.REI.2, 11
(+) A.REI. 8, 9
F.IF.4, 5, 6, 7b, 7c, 7e,
8, 9
F.BF.1b, 3, 4a
F.IF.7d
F.LE.1a, 1b, 1c, 2, 3, 5
F.LE.4
F.TF.1, 2, 5, 8
(+)F.BF.1c, 4c, 4d, 5
(+)F.TF.3, 4, 6, 7, 9
Circles
G.CO.1, 2, 3, 4, 5, 6, 7,
8, 9, 10, 11, 12, 13
G.SRT.1a, 1b, 2, 3, 4, 5,
6, 7, 8, 9, 10, 11
G.C. 1, 2, 3, (+)4, 5
Expressing Geometric Properties with Equations
G.GPE.1, 2, 4, 5, 6, 7
(+)G.GPE.3
Geometric Measurement and Dimension
G.GMD.1, 3, 4
(+)G.GMD.2
Modeling with Geometry
G.GMG.1, 2, 3
Interpreting Categorical and Quantitative Data
Statistics
and
Probability
Algebra II
N.Q. 1, 2, 3
Similarity, Right Triangles, and Trigonometry
Geometry
Geometry
8/2011
S.ID.1, 2, 3, 5, 6a, 6b,
6c, 7, 8, 9
S.ID.4
Making Inferences and Justifying Conclusions
Conditional Probabilities and the Rules of Probability
Using Probability to Make Decisions
S.IC.1, 2, 3, 4, 5, 6
S.CP.1, 2, 3, 4, 5, 6, 7,
(+)8, (+)9
(+)S.MD.6, 7
(+)S.MD.6, 7
(+)S.MD.5a, 5b
CCSS/v2.0 GLEs Alignment Analysis
Domain CCSS Cluster/Standards Missouri v2.0
CCSS
GLE
Alignment to
v2.0 GLE/CLE
Counting K.CC1
Count to 100 by ones and by
and
tens..
Cardinality
(CC)
N1AK *rote count Partial alignment
to 100 and
to bold, italicized
recognize
portion of GLE
numbers up to 31
N1D1 *skip count Partial alignment
by 2s, 5s and 10s to bold, italicized
portion of GLE
Mathematics Commonalities
CCSS Grades K – 8 Domain and Cluster
Alignments to v2.0 GLEs/CLEs
Domain
Counting and
Cardinality
K
Below
Grade
Level
At Grade
Level
N1AK
N1DK
N3BK
N3BK
A3AK
1
Above
Grade
Level
N1A1
N1D1
Below
Grade
Level
At Grade
Level
2
Above
Grade
Level
Below
Grade
Level
At
Grade
Level
Above
Grade
Level
N1A1
Operations and
Algebraic Thinking
N1CK
A3AK
N2A1
N2A1
A2A1
A3A1
N3C2
A3A2
N3B2
N1C1
A2B1
N1C1
N3B1
N3C1
N1C1
N1D1
A3A2
N1D3
N2A3
CCSS/v2.0 GLEs Alignment Analysis
Domain CCSS Cluster/Standards Missouri v2.0
CCSS
GLE
Alignment to
v2.0 GLE/CLE
Counting
and
Cardinality
(CC)
K.CC2 Count forward beginning
from a given number within the
known sequence (instead of
having to begin at 1).
Underlined portion
is not aligned to any
GLE/CLE.
K.CC3 Write numbers from 0 to N1A1 *read, write,
20. Represent a number of
and compare whole
objects with a written numeral 0- numbers less than
20 (with 0 representing a count 100
of no objects).
Partial alignment to
bold, italicized
portion of Grade 1
GLE
Bold underlined portion of the CCSS
represents content/processes/procedures
that do not align with any GLEs/CLEs.
N3BK *connect
number words
(orally) and
quantities they
represent
Partial alignment to
bold, italicized
portion of GLE
DOMAIN
Numbers and
OperationsFractions (NF)
CCSS
v2.0 GLE/CLE CCSS Content not addressed in GLEs/CLEs
3.NF.1, 2a,
2b, 3a, 3b,
3c, 3d
N1C3, N2A3
N1B4
N1A5, N1B5
3.NF1
Understand a
fraction 1/b as
the quantity
formed by 1
part when a
whole is
partitioned
into b equal
parts;
understand a
fraction a/b as
the quantity
formed by a
parts of size
1/b.
3.NF3b
Recognize and
generate
simple
equivalent
fractions, e.g.,
1/2 = 2/4, 4/6
= 2/3). Explain
why the
fractions are
equivalent,
e.g., by using a
visual fraction
model
3.NF3d Compare
two fractions
with the same
numerator or the
same
denominator by
reasoning about
their size.
Recognize that
comparisons are
valid only when
the two fractions
refer to the same
whole. Record
the results of
comparisons with
the symbols >, =,
or <, and justify
the conclusions,
e.g., by using a
visual fraction
model.
IMPACTING INSTRUCTION
INSTRUCTIONAL FOCUS (1) representing, relating, and operating on whole
TIME IN K SHOULD
numbers, initially with sets of objects;(2) describing shapes
FOCUS ON THESE
and space. More learning time in Kindergarten should be
CRITICAL AREAS: 
DOMAIN

devoted to number than other topics.
MO v2.0 GLE/CLE
CCSS
CCSS Not aligned
that aligns to CCSS
K.CC.1, 2, 3, 4a, *N1AK, *N3BK, K.CC.2
Counting and 4b, 4c, 5, 6, 7 *A3AK
K.CC.3
Cardinality (CC)
*N1A1, *N1D1 K.CC.4b, 4c
K.CC.7
Operations and K.OA.1, 2, 3, 4, *N1CK, *A3AK K.OA.1
*N1A1
Algebraic 5
Thinking (OA)
*A3AK, *M1AK, NONE
Numbers and K.NBT.1
*M2AK
Operations in
Base Ten (NBT)
PLANNING FOR PD
CCSS Mathematics K - 8 Domains
Domain
K
Counting and
Cardinality
K.CC.1, 2, 3, 4a,
4b, 4c, 5, 6, 7
1
Operations and K.OA.1, 2, 3, 4, 5 1.OA.1, 2, 3, 4,
5, 6, 7, 8
Algebraic Thinking
K.NBT.1
Numbers and
Operations in Base
Ten
2
2.OA.1, 2, 3, 4
1.NBT.1, 2a, 2b, 2.NBT.1a, 1b, 2,
2c, 3, 4, 5, 6
3, 4, 5, 6, 7, 8, 9
Geometry
Ratios and
Proportional
Relationships
The Number
System
Expressions and
Equations
Statistics and
Probability
Functions
K.G.1, 2, 3, 4, 5,
6
4
5
3.OA.1, 2, 3, 4,
5, 6, 7, 8, 9
4.OA.1, 2, 3, 4, 5 5.OA.1, 2, 3
3.NBT.1, 2, 3
4.NBT.1, 2, 3, 4,
5, 6
5.NBT.1, 2, 3a,
3b, 4, 5, 6, 7
3.NF.1, 2a, 2b,
3a, 3b, 3c, 3d
4.NF.1, 2, 3a,
3b, 3c, 3d, 4a,
4b, 4c, 5, 6, 7
1.MD.1, 2, 3, 4
2.MD.1, 2, 3, 4,
5, 6, 7, 8, 9, 10
3.MD.1,2, 3, 4,
4.MD.1, 2, 3, 4,
5a, 5b, 6, 7a, 7b, 5a, 5b, 6, 7
7c, 7d, 8
5.NF.1, 2, 3,
4a, 4b, 5a, 4b,
5a, 5b, 6, 7a,
7b, 7c
5.MD.1, 2, 3a,
3b, 4, 5a, 5b,
5c
1.G.1, 2, 3
2.G.1, 2, 3
3.G.1, 2
5.G1, 2, 3, 4
Numbers and
Operations Fractions
Measurement and K.MD.1, 2, 3
Data
3
7/2011
4.G.1, 2, 3
Five initial domains for professional development:
•Grades K – 2 Counting and Cardinality
Numbers and Operations
•Grades K – 5 Operations and Algebraic Thinking
•Grades 3 – 5 Number and Operations – Fractions
•Grades 6 – 7 Ratios and Proportional Reasoning
•Grade 8 – Geometry
ALL professional development should incorporate the Standards
for Mathematical Practice
6
7
8
6.G.1, 2, 3, 4
7.G1, 2, 3, 4, 5, 8.G.1a, 1b, 1c,
6
2, 3, 4, 5, 6, 7,
8, 9
6.RP.1, 2, 3a,
3b, 3c, 3d
7.RP.1, 2a, 2b,
2c, 2d, 3
6.NS.1, 2, 3, 4,
5, 6a, 6b, 6c,
7a, 7b, 7c, 7d,
8
6.EE1, 2a, 2b,
2c, 3, 4, 5, 6, 7,
8, 9
7.NS.1a, 1b,
1c, 1d, 2a, 2b,
2c, 2d, 3
6.SP.1, 2, 3, 4,
5a, 5b, 5c, 5d
7.SP.1, 2, 3, 4, 8.SP.1, 2, 3, 4
5, 6, 7a, 7b, 8a,
8b, 8c
8.NS.1, 2,
7.EE.1, 2, 3, 4a, 8.EE.1, 2, 3, 4,
4b
5 ,6, 7a, 7b, 8a,
8b, 8c
8.F.1, 2, 3, 4, 5
CCSS Mathematics Traditional Pathway HS Domains
Conceptual
Category
Number
and
Quantity
Algebra
Functions
and
Models
Domain
Algebra I
The Real Number System
Quantities
The Complex Number System
Vector and Matrix Quantities
N.RN.1, 2, 3
Seeing Structure in Expressions
A.SSE.1a, 1b, 2, 3a, 3b,
3c
A.APR.1
Arithmetic with Polynomials and Rational
Expressions
Creating Equations
Reasoning with Equations and Inequalities
Interpreting Functions
Building Functions
Linear, Quadratic and Exponential Models
Trigonometric Functions
Congruence
Similarity, Right Triangles, and Trigonometry
Expressing Geometric Properties with Equations
Geometric Measurement and Dimension
Modeling with Geometry
Interpreting Categorical and Quantitative Data
Statistics
and
Probability
Making Inferences and Justifying Conclusions
Conditional Probabilities and the Rules of Probability
Using Probability to Make Decisions
Algebra II
•Implementation of
Mathematical Practices
Fourth
Course
N.Q. 1, 2, 3
N.CN.1, 2, 7, (+)8, (+)9
(+)N.CN.3, 4, 5, 6
(+)N.VM.1, 2, 3, 4a, 4b,
4c, 5a, 5b, 6, 7, 8, 9, 10,
11, 12
A.SSE.1a, 1b, 2, 4
•Review the “Pathways”
recommended in the CCSS
Appendix A and determine
which ones will best benefit
your students
A.APR.1, 2, 3, 4 (+)5, 6,
(+)7
A.CED.1, 2, 3, 4
A.CED. 1, 2, 3, 4
A.REI.I, 3, 4a, 4b, 5, 6,
7, 10, 11, 12
F.IF.1, 2, 3, 4, 5, 6, 7a,
7b, 7e, 8a, 8b, 9
F.BF.1a, 1b, 2, 3, 4a
A.REI.2, 11
(+) A.REI. 8, 9
F.IF.4, 5, 6, 7b, 7c, 7e,
8, 9
F.BF.1b, 3, 4a
F.IF.7d
F.LE.1a, 1b, 1c, 2, 3, 5
F.LE.4
F.TF.1, 2, 5, 8
(+)F.BF.1c, 4c, 4d, 5
(+)F.TF.3, 4, 6, 7, 9
G.CO.1, 2, 3, 4, 5, 6, 7,
8, 9, 10, 11, 12, 13
G.SRT.1a, 1b, 2, 3, 4, 5,
6, 7, 8, 9, 10, 11
G.C. 1, 2, 3, (+)4, 5
Circles
Geometry
Geometry
7/2011
•Carefully consider the content
in each course and use names
that are most appropriate.
G.GPE.1, 2, 4, 5, 6, 7
(+)G.GPE.3
G.GMD.1, 3, 4
(+)G.GMD.2
G.GMG.1, 2, 3
S.ID.1, 2, 3, 5, 6a, 6b,
6c, 7, 8, 9
S.ID.4
S.IC.1, 2, 3, 4, 5, 6
S.CP.1, 2, 3, 4, 5, 6, 7,
(+)8, (+)9
(+)S.MD.6, 7
(+)S.MD.6, 7
(+)S.MD.5a, 5b
Necessary Nows
Immediate Implementations...
• Access the Common Core State Standards and support
documents/resources created by DESE at
http://www.dese.mo.gov/divimprove/curriculum/commoncore-math.htm
• Identify common content within the v2.0 GLEs/CLEs and
CCSS that may not be included in grades or courses now and
include the content in instruction and assessment.
• Make it a priority to begin implementation of all Standards
for Mathematical Practice in K – 12 mathematics classes.
• Implement the Kindergarten Mathematics CCSS during the
2011 – 2012 school year
Common Core Tools…
http://commoncoretools.wordpress.com/tools/
• The Illustrative Mathematics Project
• Progressions for the Common Core
• Technical manual for the Common Core (Jason Zimba)
• Hyperlinked version of the mathematics standards
• K–8 Standards by domain: Counting and Cardinality, Operations and Algebraic
Thinking, Number and Operations in Base Ten, Number and Operations—
Fractions, Measurement and Data, Geometry, Ratio and Proportional
Relationships, The Number System, Expressions and Equations, Statistics and
Probability, Functions.
Other:
Connections to mathematical practices (processes and proficiencies) -http://www.ted.com/talks/dan_meyer_math-curriculum_makeover.html
Questions?
[email protected]
573-751-1395
Be watching on the DESE website for
information regarding an upcoming
Mathematics CCSS webinar for
additional implementation information
and resources for Missouri educators.
Trish Goddard
SWRPDC
Mathematics Content Specialist
[email protected]
THANKS