COMMON CORE MATHEMATICS

FULTON COUNTY SCHOOLS

Essential Questions

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

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: Are aligned with college and work expectations Are clear, understandable, and consistent Include rigorous content and application of knowledge through

higher-order skills Build upon strengths and lessons of current state standards Are informed by other top performing countries so that all students

are prepared to succeed in a global economy and society; and 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 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

Counting and

Cardinality (CC)

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)

Geometry (G)

Geometry (G)

Geometry (G)

Geometry (G)

Geometry (G)

Geometry (G)

6-8 Domains

Grade 6 Grade 7 Grade 8

Ratios and Proportional Relationships

(RP)

Ratios and Proportional Relationships

(RP)

Ratios and Proportional Relationships

(RP)

The Number System (NS)

The Number System (NS)

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

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

Listed in Conceptual Categories

(rather than grade levels or courses)

Number and Quantity

Algebra

Functions

Modeling

Geometry

Statistics and Probability

Standards of Mathematical Practice 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 Counting and Cardinality Know number names and the count

sequence. Count to tell the number of objects. Compare numbers. Operations and Algebraic Thinking 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

Operations and Algebraic Thinking Represent and solve problems involving addition and

subtraction. Understand and apply properties of operations and the

relationship between addition and subtraction. Add and subtract within 20. Work with addition and subtraction equations. Number and Operations in Base Ten Extending the counting sequence. Understand place value. Use place value understanding and properties of

operations to add and subtract. Measurement and Data Measure lengths indirectly and by iterating length units.

Second Grade – Major Clusters Operations and Algebraic Thinking Represent and solve problems involving

addition and subtraction. Add and subtract within 20. Number and Operations in Base Ten Understand place value. 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.

Third Grade – Major Clusters Operations and Algebraic Thinking Represent and solve problems involving multiplication

and division. 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. Number and Operations—Fractions Develop an understanding of fractions as numbers. Measurement and Data 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 Operations and Algebraic Thinking Use the four operations with whole numbers to solve

problems. Number and Operations in Base Ten Generalize place value understanding for multi-digit whole

numbers. Use place value understanding and properties of operations to

perform multi-digit arithmetic. Number and Operations--Fractions Extend understanding of fraction equivalence and ordering.

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

Number and Operations in Base Ten Understand the place value system. Perform operations with multi-digit whole

numbers and with decimals to hundredths. Number and Operations—Fractions 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.

16

Required Fluencies in K-6Grade Standard Required Fluency

K K.OA.5 Add/subtract within 5

1 1.OA.6 Add/subtract within 10

2 2.OA.22.NBT.5

Add/subtract within 20 (know single-digit sums from memory)Add/subtract within 100

3 3.OA.73.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 divisionMulti-digit decimal operations

CCGPS Expectations

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?