The Common Core State Standards for Mathematics

1
The Common Core State Standards for Mathematics

• Pre-Kindergarten Grade 3

2
Common Core Development

• Initially 48 states and three territories signed
  on
• As of December 1, 2011, 45 states have officially
  adopted
• Final Standards released June 2, 2010, can be
  downloaded at www.corestandards.org
• Adoption required for Race to the Top funds

3
Preschool

• There are no PreK CCSSM standards

4
Kindergarten

• The Standards do not dictate curriculum or
  teaching methods. Teachers have the autonomy to
  use each Standard as they see fit.
• Expectations that begin with the word
  understand are good opportunities to connect
  the practice to the content.
• Two critical areas of focus
• Representing, relating, and operating on whole
  numbers with sets of numbers
• Describing shapes and space

5
Kindergarten

• Representing, Relating, and Operating on Whole
  Numbers
• Counting and cardinality
• Know numbers names and the count sequence
• Count to tell the number of objects
• Compare numbers
• Operations and Algebraic Thinking
• Understand addition and subtraction
• Putting together and adding to
• Taking apart and taking from
• Fact families up to 10

6
Kindergarten

• Place Value 11-19
• 15 ten ones and five ones
• Measurable attributes
• Length and weight
• Classify objects

7
Kindergarten

• Geometry
• Identify and describe shapes
• 2D and 3D shapes

8
Kindergarten Whats Different

• No time
• No calendar
• No graphing
• No money
• No non-standard measurement
• No fractions
• No patterning
• No estimation

9
First Grade

• Four critical areas
• Developing understanding of addition and
  subtraction, and strategies for addition and
  subtraction within 20
• Whole number relationships and place value
• Linear measurement and measuring lengths
• Composing and decomposing geometric shapes

10
First Grade

• Geometry
• Reason with shapes and their attributes
• 2D and 3D shapes

11
First Grade

• Operations and Algebraic Thinking
• Addition and subtraction within 20
• Apply operations commutative and associative
• Number and Operations in Base Ten
• Measure lengths indirectly and by iterating
  length units
• Time (hour and half hour)
• Represent and interpret data
• Fractions halves, fourths, quarters

12
First Grade Whats Different

• No money
• No standard units of measure
• No patterning
• No estimation

13
Second Grade

• Four critical areas
• Extending understanding of base-ten notations
• Building fluency with addition and subtraction
• Using standard units of measure
• Describing and analyzing shapes

14
Second Grade

• Operations and Algebraic Thinking
• Represent and solve problems involving addition
  and subtraction within 100 to solve one- and
  two-step word problems
• Add and subtract within 20
• Work with equal groups of objects to gain
  foundation for multiplication

15
Second Grade

• Number and Operations in Base Ten
• Understand place value 3 digits, count within
  1,000, compare two three-digit numbers
• Use place value understanding and properties of
  operations to add and subtract
• Measurement and Data
• Measure and estimate lengths in standard units
• Relate addition and subtraction to length
• Work with time and money
• Draw picture graphs and bar graphs

16
Second Grade

• Geometry
• Reason with shapes and their attributes angles,
  faces, quadrilaterals, pentagons, hexagons, and
  cubes
• Fractions (whole, halves, thirds)

17
Second Grade Whats Missing

• No patterns
• No 2D or 3D shapes
• No estimation

18
Third Grade

• Four critical areas
• Multiplication and division and strategies for
  multiplication and division within 100
• Develop understanding of fractions, especially
  unit fractions
• The structure of rectangular arrays and of area
• Describe and analyze 2D shapes

19
Third Grade

• Operations and Algebraic Thinking
• Represent and solve problems involving
  multiplication and division
• Commutative property of multiplication
• Multiply and divide within 100
• Solve problems involving the four operations and
  identify and explain patterns in arithmetic

20
Third Grade

• Number and Operations in Base Ten
• Number and Operations Fractions
• Develop understanding of fractions as numbers
• Measurement and Data
• Time to the minute
• Measure and estimate liquid volumes and masses of
  objects using grams, kilograms, and liters
• Represent and interpret data

21
Third Grade

• Geometric measurement
• Understand concepts of area and relate area to
  multiplication and division
• Recognize perimeter as an attribute of plane
  figures and distinguish between linear and area
  measures
• Geometry
• Reason with shapes and their attributes

22
Third Grade Whats Different

• No line symmetry
• Omits solids and looking at objects from
  different viewpoints transformations and
  congruence