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Transitioning to Common Core State Standards for Mathematics February 29, 2012 Mathematics PD Plan • Face-to-Face • Online • Blended Mathematics PD Plan • Cognitively Guided Instruction • Extending Children’s Mathematics Mathematics PD Plan • Data Modeling: Inventing Displays, Center and Precision • 9-Number and Operations Courses • Other Mathematics PD Plan • SREB – Mathematics Design Collaborative (MDC) • ADE Math Science Partnerships (MSP) • ADHE Math Science Partnerships (MSP) K to 1st • Concept of “ten” • Early experiences with meaning for the operations of addition and subtraction • Developing strategies for addition and subtraction • Fluency with addition and subtraction within 5 • Concept of “measureable attribute” • Foundational understanding of mathematical classification K to 1st • Cognitively Guided Instruction • Problem Situations: Addition and Subtraction and the Nature of “Equals” • Problem Situations: Multiplication and Division and the Nature of “Equals” • Developing the Base Ten System • Developing Fact Fluency st 1 • • • • • • to nd 2 Place Value Understanding Meaning of Addition and Subtraction Properties of Operations Strategies for adding and subtracting Fluency within 10 for addition and subtraction Continuous nature of linear measure st 1 to 2nd • Cognitively Guided Instruction • Problem Situations: Addition and Subtraction and the Nature of “Equals” • Problem Situations: Multiplication and Division and the Nature of “Equals” • Developing the Base Ten System • Developing Fact Fluency • Strategies, Algorithms and Recording Systems: Multi-digit Addition and Subtraction nd 2 • • • • • • • to rd 3 Place Value Meaning for Addition and Subtraction Properties of Operations Strategies for adding and subtracting Fluency within 20 for addition and subtraction Continuous nature of linear measures Equal shares of identical wholes need not have the same shape nd 2 to rd 3 • Cognitively Guided Instruction • Problem Situations: Addition and Subtraction and the Nature of “Equals” • Problem Situations: Multiplication and Division and the Nature of “Equals” • Developing the Base Ten System • Developing Fact Fluency • Strategies, Algorithms and Recording Systems: Multi-digit Addition and Subtraction • Fraction Concepts: Equal Sharing 3rd to 4th • • • • • • • Meaning for Operations Properties of Operations Strategies for Operations Fluency for adding and subtracting within 20 Fluency for multiplying and dividing within 100 Fraction meaning Continuous nature of linear measure rd 3 to th 4 • Cognitively Guided Instruction/Extending Children’s Mathematics • Problem Situations: Addition and Subtraction and the Nature of “Equals” • Problem Situations: Multiplication and Division and the Nature of “Equals” • Developing the Base Ten System • Developing Fact Fluency • Strategies, Algorithms and Recording Systems: Multi-digit Addition and Subtraction • Fraction Concepts: Equal Sharing • Other Problem Situations: Multiplication and Division th 4 • • • • • • • to th 5 Meaning of Operations Properties of Operations Strategies for performing operations Fluency with basic facts Place Value Fraction meaning and equivalence Angles th 4 to th 5 • Extending Children’s Mathematics • Problem Situations: Multiplication and Division and the Nature of “Equals” • Other Problem Situations: Multiplication and Division • Developing the Base Ten System • Strategies, Algorithms and Recording Systems: Multi-digit Addition and Subtraction • Strategies, Algorithms and Recording Systems: Multi-Digit Multiplication and Division • Fraction Concepts: Equal Sharing • Fraction Operations: Multiple Grouping th 5 • • • • • to th 6 Fraction meaning Fraction Operations Geometric Classification Extension of place value to decimal notation Lingering concerns…Understanding of operations, strategies for operations and fluency th 5 • • • • • • • • to th 6 Extending Children’s Mathematics Fraction Concepts: Equal Sharing Fraction Operations: Multiple Grouping Problem Situations: Multiplication and Division and the Nature of “Equals” Other Problem Situations: Multiplication and Division Developing the Base Ten System Strategies, Algorithms and Recording Systems: Multi-digit Addition and Subtraction Strategies, Algorithms and Recording Systems: Multi-Digit Multiplication and Division th 6 to th 7 • Single Variable Data • Proportional reasoning • Geometric measures: perimeter, area, surface area and volume • Independent and dependent variables • Extending knowledge of number to negative values • Lingering concerns: understanding rational numbers meaning of operations, strategies for operations, fluency th 6 • • • • • • • • to th 7 Extending Children’s Mathematics Fraction Concepts: Equal Sharing Fraction Operations: Multiple Grouping Problem Situations: Multiplication and Division and the Nature of “Equals” Other Problem Situations: Multiplication and Division Developing the Base Ten System Strategies, Algorithms and Recording Systems: Multi-Digit Multiplication and Division Data Modeling: Inventing Displays, Center and Precision th 7 • • • • to th 8 Proportional Reasoning and its application Rational number concepts and computation Statistics and Probability Writing and solving equations th 7 to th 8 • Data Modeling: Inventing Displays, Center and Precision • Other Coop offerings Grade 8 and Beyond 8th Grade Mathematics becomes more like what Algebra I is under the Arkansas Mathematics Frameworks. • Extends rational number system to the real numbers • Function Concepts • Intense study of linear functions • Congruence, Similarity and Pythagorean Theorem Grade 8 and Beyond Algebra I will finalize linear functions, but most of the instruction will focus on quadratic and/or exponential functions. Algebra II will look a great deal more like what pre-calculus has been under the Arkansas Frameworks.