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Measurement and Data Grades K-5 Statistics and Probability Grade 6

Elko County School District CCSS Math Professional Development Module 4, Week 2 Digging into the CCSS, part 1. Measurement and Data Grades K-5 Statistics and Probability Grade 6 . https://www.teachingchannel.org/videos/teaching-math-ccss?fd=1.

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Measurement and Data Grades K-5 Statistics and Probability Grade 6

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  1. Elko County School District CCSS Math Professional Development Module 4, Week 2 Digging into the CCSS, part 1 Measurement and Data Grades K-5Statistics and ProbabilityGrade 6

  2. https://www.teachingchannel.org/videos/teaching-math-ccss?fd=1https://www.teachingchannel.org/videos/teaching-math-ccss?fd=1 Video:Beyond Right Answers: Math and the CCSSTeaching Channel

  3. We will… • Target a mathematics domain. • Study the developmental progression of the standards. • Unpack measurement and data standards Today’s Agenda

  4. K-5 Measurement and Data Geometric Measurement Data K-3 Categorical Data 2-5 Measurement Data Step 1: Target a Standard 6-7 Ratios and Proportional Data 6-8 Statistics and Probability

  5. Data “As students work with data in Grades K-5, they build foundations for their study of statistics and probability in Grade 6 and beyond, and they strengthen and apply what they are learning in arithmetic.” “In Grade 6, students build on the knowledge and experiences in data analysis developed in earlier grades…They develop a deeper understanding of variability and more precise descriptions of data distributions.” -The Common Core Standards Writing Team K-3 Categorical Data 2-5 Measurement Data Data 6-8 Statistics and Probability

  6. The Progressions Document is a narrative description about how a particular domain plays out across the grade levels. (McCallum 2011) K-3 Categorical Data Grades 2-5, Measurement Data 6-8 Statistics and Probability • Read the overview (page 2-3) • Scan to find your grade level within the Progressions Document. • Read and code the text. Be prepared to discuss the reading. ? = Question I have ! = Something I learned • If time permits, read the grades above and below your own grade level. Progressions Document

  7. Geometric Measurement 6-7 Ratios and Proportional Data “Measurement is central to mathematics, to other areas of mathematics (e.g., laying a sensory and conceptual foundation for arithmetic with fractions), to other subject matter domains, especially science, and to activities in everyday life. For these reasons, measurement is a core component of the mathematics curriculum.” “The study of ratios and proportional relationships extends students’ work in measurement and in multiplication and division in the elementary grades. Ratios and proportional relationships are foundational for further study in mathematics and science and useful in everyday life.” -The Common Core Standards Writing Team Geometric Measurement

  8. The Progressions Document is a narrative description about how a particular domain plays out across the grade levels. (McCallum 2011) K-5 Geometric Measurement 6-7 Ratios and Proportional Relationships • Read the overview (page 2-5) • Scan to find your grade level within the Progressions Document. • Read and code the text. Be prepared to discuss the reading. ? = Question I have ! = Something I learned • If time permits, read the grades above and below your own grade level. Progressions Document

  9. Step 1: Target a standard Step 2: Chunk the Main Categories Step 3: Identify all standard components Step 4: Identify the Vertical Alignment across grade levels Step 5: Identify Key Vocabulary Step 6: Add Clarifying Information “(Unpacking will) increase student achievement by ensuring educators understand specifically what the new standards mean a student must know, understand, and be able to do.(Unpacking) may also be used to facilitate discussion among teachers and curriculum staff and to encourage coherence… (Unpacking), along with on-going professional development is one of many resources used to understand and teach the CCSS.” -North Carolina Dept of Public Instruction Unpacking and Repacking

  10. 2.MD.10 Draw a picture graph and a bar graph Represent Solve Solve simple compare problems using information presented in a bar graph 2.MD.10 Solve simple take-apart problems using information presented in a bar graph 2.MD.10 Draw Draw a picture graph (with single-unit scale) to represent a data set with up to four categories 2.MD.10 Solve simple put-together problems using information presented in a bar graph 2.MD.10 Draw a bar graph (with single-unit scale) to represent a data set with up to four categories 2.MD.10 take-apart problems put-together problems Comparing problems Builds on 1.MD.4 Needed for 3.MD.3 information How many students like red and orange juice? How many students voted for their favorite juice? If two students changed their mind from red juice to purple juice, what would the graph look like? bar graph scale categories How many more__ than __? How may fewer __ than__? picture graph data set

  11. To understand what the standards are asking students to know, understand, and be able to do • To make time for professional discussion about the standards • To build upon and use common terminology when discussing the implementation of the standards Unpacking is standards is not a substitute document for the Common Core Standards, it is a record of the conversation of those who are involved in the process of digging into the standards. Why are we Unpacking Standards?

  12. Steps to Unpacking the Standards Example 2.MD.10Draw a picture graph and a bar graph (with single-unit scale) to represent a data set with up to four categories. Solve simple put-together, take-apart, and compare problems using information presented in a bar graph. Step 1: Target a standard Measurement and Data Step 2: Chunk the Main Categories Write the main categories on large pink sticky notes Identify Key Verbs 2.MD.10 Draw a picture graph and a bar graph Represent Solve Draw Step 3: Identify All Standard Components from CCSS: • Analyze nouns and verbs What do students need to do? • Include bullets, examples, footnotes, etc. • Take standard apart according to the verb to separate skills within the standard • What do the students need to know? Step 4: Vertical Alignment Look to the grade level(s) below to see if the standard is introduced. Look to the grade level(s) above to see if the standard is continued. Code each standard on the poster with builds on, introduced, needed for, or Mastered and the grade Level to which the standard aligns. Step 5: Identify Key Vocabulary Identify content vocabulary directly from the standard. picture graph take-apart problems bar graph information • Step 6: Add Clarifying Information • Kid-friendly language to add clarity • Clarifying pictures, words, or phrases • Definitions, examples • symbols, formulas, pictures, etc. Draw a picture graph (with single-unit scale) to represent a data set with up to four categories 2.MD.10 Solve simple compare problems using information presented in a bar graph 2.MD.10 Solve simple put-together problems using information presented in a bar graph 2.MD.10 Solve simple take-apart problems using information presented in a bar graph 2.MD.10 Builds on 1.MD.4 How many students like red and orange juice? How many students voted for their favorite juice? Needed for 3.MD.3

  13. Wrap Up: Reflection

  14. Burke, Kay. 2010 Balanced Assessment: From Formative to Summative. Solution Tree Press. Bloomington, IN. The Common Core Standards Writing Team. May 2011. Progressions for the Common Core State Standards in Mathematics (draft): K-3, Categorical Data; Grades 2-5, Measurement Data; 6-8 Statistics and Probability; K-5 Geometric Measurement; 6-7, Ratios and Proportional Relationships. Available Online: commoncoretools.wordpress.com North Carolina Department of Public Instruction. Revised Aug 2012. Instructional Support Tools: 2nd grade mathematics, unpacked content. Available Online: www.ncpublicschools.org Ohio Department of Education. February 2012. K-8 Standards Progression. Available Online: education.ohio.gov Teaching Channel. Beyond Right Answsers: Math and the CCSS. Available Online: teachingchannel.org Reference

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