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COMMON CORE MATHEMATICS FULTON COUNTY SCHOOLS

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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?

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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

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CCGPS MATHEMATICS STANDARDS

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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

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K-5 Domains KGrade 1Grade 2Grade 3Grade 4Grade 5 Counting and Cardinality (CC) Operations and Algebraic Thinking (OA) Number and Operations in Base Ten (NBT) Number and Operations in Base Ten and Fractions (NF) Measurement and Data (MD) Geometry (G)

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6-8 Domains Grade 6Grade 7Grade 8 Ratios and Proportional Relationships (RP) The Number System (NS) Expressions & Equations (EE) Geometry (G) Statistics & Probability (SP) Functions (F)

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9-12 Mathematics Content Traditional PathwayIntegrated Pathway GADOE has determined Georgia will implement a Hybrid Pathway for CCGPS. Algebra IIMathematics III GeometryMathematics II High School Algebra IMathematics 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

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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

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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.

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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.

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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.

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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.

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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.

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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.

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16 Required Fluencies in K-6 GradeStandardRequired Fluency KK.OA.5Add/subtract within 5 11.OA.6Add/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 44.NBT.4Add/subtract within 1,000,000 55.NBT.5Multi-digit multiplication 66.NS.2,3 Multi-digit division Multi-digit decimal operations

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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.

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HOW DOES CONTINUOUS ACHIEVEMENT FIT IN?

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