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EMSE 3123 Math and Science in Education Introduction to the Common Core Mathematics Standards Presented by Frank H. Osborne, Ph. D. © 2015 1 Common Core Math Standards • The Common Core Math Standards are organized by grade level and by domains. • There are six domains used in K-5. – – – – CC: Counting and Cardinality (only in Grade K) OA: Operations and Algebraic Thinking NBT: Number and Operations in Base 10 NF: Number and Operations—Fractions (starts in Grade 3) – MD: Measurement and Data – G: Geometry 2 Common Core Math Standards • Other domains commence in Grade 6 – RP: Ratios and Proportional Relationships (Grades 6 and 7 only) – NS: The Number System – EE: Expressions and Equations – F: Functions (begins in Grade 8) – G: Geometry – SP: Statistics and Probability • EMSE 3123 concentrates on the K-5 standards. 3 Progressions • Within each domain, there are progressions. • A progression indicates which part of each domain is covered in each grade. • Details of the domains and progressions are found throughout the standards. 4 Counting and Cardinality • K.CC – Counting and Cardinality – Know number names of the count sequence – Count to tell the number of objects – Compare numbers • This domain is covered only in Grade K. 5 Operations and Algebraic Thinking • OA is found in grades K-5. • It involves children learning addition, subtraction, multiplication and division. • Place value and increasing understanding of the operation of the base 10 number system. • Using the four operations to solve problems • Generating and analyzing patters and relationships. • Interpreting numerical expressions 6 Number and Operations in Base 10 • NBT is found in grades K-5. • NBT topics include – Setting foundation for place value using 11-19 (K) – Extending the Counting Sequence (1) – Understanding Place value (1-2) • Addition and subtraction small numbers (1) • Addition and subtraction-hundreds (2) – Properties of Operations--Multi-digit arithmetic (3) – Place value, multiplication/division, fractions, decimals (4-5) 7 Number and Operations-Fractions • NF is found in grades 3-5. • NF topics include – Understanding fractions as numbers using denominators 2, 3, 4, 6, 8 (3) – Working with fractions and decimals (4) – Strategies for adding and subtracting fractions (5) – Multiplication and division of fractions (5) 8 Measurement and Data • MD is found in grades K-5. • MD topics include – Describe and compare measurable attributes (K) – Classify objects and count the number in each category (K) – Measure lengths, tell time, represent data (1-5) – Measure lengths in standard units, addition and subtraction, work with time and money (2) – Solve problems involving time, liquid volumes, and masses of objects, geometric measurement (3-5) 9 Geometry • G is found in grades K-5. • G topics include – – – – – Working with shapes (K) Reason with shapes and their attributes (1-3) Lines and angles (4) Graphing points on the coordinate plane (5) Classification of two-dimensional shapes (5) 10 The End 11