Deepening Understanding of Vertical Alignment in CA Math Standards
This investigation focuses on aligning place value concepts in the CA Mathematics Content Standards, emphasizing the importance of coherence, focus, and rigor in the Number and Operations in Base Ten (NBT) domain. Through studying grade levels individually, important points are captured to build a learning trajectory that enhances students' understanding and application of the base-ten system and its structure.
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Investigating Vertical Alignment in the CA Mathematics Content Standards
Objective To deepen our understanding of the alignment of place value concepts and how the CA Math Content Standards provide focus, coherence, and rigor in the Number and Operations in Base Ten (NBT) domain.
Place Value Mathematics Eleven Twelve Thirteen Fourteen Fifteen Sixteen Seventeen Eighteen Nineteen Twenty Thirty Forty Fifty Sixty Seventy Eighty Ninety
Math Learning Experience-Number Words Math learning experience 4
Investigating Vertical Alignment Vertical Alignment Chart Big Idea: Building conceptual understanding of the base-ten system and its structure Grade CCRSM Code Important Points from the Group Discussion 5.NBT.1 5.NBT.2 5.NBT.3a 5.NBT.4 5 4.NBT.1 4.NBT.2 4.NBT.3 4 3 3.NBT.1 2.NBT.1a 2.NBT.1b 2.NBT.3 2 1.NBT.2a 1.NBT.2b 1.NBT.2c 1 K K.NBT.1 20a 20b Uses number concepts and operations counts and quantifies. PK 6
Investigating Vertical Alignment Investigating vertical alignment in the CA Math Content Standards Focus Domain: Number and Operations in Base Ten 1. Select the big idea you will be studying. Understand the base ten system and its structure. 2. Determine what your big idea means. (Discuss the meaning of the big idea in terms of what students need to know and be able to do to demonstrate understanding and application of the base ten system and its structure. ) 7
Investigating Vertical Alignment Investigating vertical alignment in the CA Math Content Standards Individually 3. Study one grade level at a time. Consider all parts of the standards. 4. Capture important points from your study in your template. As a group 5. Discuss and come to a consensus on what students need to know and be able to do according to the standards at each grade level or course. 6. Record a group summary of each grade-level or course standard on the strips provided. 7. Use the strips to build a learning trajectory on chart paper. 8
Investigating Vertical Alignment Investigating vertical alignment in the CA Math Content Standards Individually 3. Study one grade level at a time. Consider all parts of the standards. 4. Capture important points from your study in your template. As a group 5. Discuss and come to a consensus on what students need to know and be able to do according to the standards at each grade level or course. 6. Record a group summary of each grade-level or course standard on the strips provided. 7. Use the strips to build a learning trajectory on chart paper. 9
Investigating Vertical Alignment Investigating vertical alignment in the CA Math Content Standards 8. As a group, analyze the trajectory, considering the following questions: What changes occur from grade to grade? Where are concepts introduced, developed, and finalized? Does an idea or skill get more complex, and if so, how? 10
Investigating Vertical Alignment Reflection 1. How does studying standards across grade levels influence what I do in my classroom? 2. How does studying the standards in this way support my understanding of the key shifts of coherence, focus, and rigor? 11
