MEAD 2018-Addition & Subtraction Strategies, Grades 1-4
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Beyond the Algorithm: Addition and Subtraction Strategies that Make Sense! (K-4) By Kimberly Rimbey Making sense of multi-digit subtraction requires strong connections with addition and place value. Join us as we explore addition and subtraction using concrete and visual models, connected to written work, and grounded in problem solving. Formative assessment strategies will be included.
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MEAD 2018-Addition & Subtraction Strategies, Grades 1-4
- 1. Beyond the Algorithm: Addition and Subtraction Strategies that Make Sense! Kimberly Rimbey, Ph.D. Co-Founder & CEO, KP Mathematics kpkimrimbey@gmail.com January 20, 2018 1
- 3. Today’s Session Learning Goal: To understand strategies and representations for teaching and learning addition and subtraction. Today’s Focus…
- 5. Pictorial Representations aka, Transitional Representations
- 6. Abstract Representations Numerals Expressions Equations Not necessarily standard form!
- 7. Tips – Selecting Tools Strategically – Start with one, then add to the tool box. – Demonstrate appropriate use for each tool before putting in tool box. – Give students the opportunity to try out each tool when first introduced. – Keep a cumulative anchor chart. – Discuss appropriate use frequently.
- 8. STRATEGIES FOR ADDITION Place Value Properties Composing & Decomposing Counting Expanded Form
- 9. 9 24 + 27 Addition Representations 9
- 10. 10 Just because it’s notated in a standard format does NOT mean students must use the standard algorithm! 10 24 + 27
- 11. Corrina had [ ] daisies and [ ] roses. How many flowers did she have in all? [4,7] [24, 27] [124, 327]
- 12. Place Value Strategy w/ Manipulatives
- 13. Decomposing Strategy w/ Number Bonds
- 14. Counting Strategy w/ Number Lines
- 15. Expanded Form Strategy w/ Pictures
- 16. Expanded Form Strategy w/ Numbers
- 17. Place-Value Models 17 + 34 65 + 28 Strategies Place Value Properties Decomposing Counting Expanded Form Representations Manipulatives Number Bonds Number Lines Expanded Form - Pictures Expanded Form - Numbers
- 18. What Strategies Might You Look For? • Place Value • Properties • Composing & Decomposing • Counting Strategies • Expanded Form
- 19. STRATEGIES FOR SUBTRACTION Place Value Properties Relationships Composing & Decomposing Counting
- 20. 20 51 – 27 Subtraction Representations 20
- 21. Corrina had [ ] flowers. [ ] of them were roses. How many were not roses? [11,7] [51, 27] [451, 327]
- 22. Place Value Strategy w/ Manipulatives
- 23. Decomposing Strategy w/ Number Bonds
- 24. Counting Strategy w/ Number Lines
- 25. Expanded Form Strategy w/ Pictures
- 26. Expanded Form Strategy w/ Numbers
- 27. Place-Value Models Strategies Place Value Decomposing Counting Expanded Form Expanded Form Representations Manipulatives Number Bonds Number Lines Expanded Form - Pictures Expanded Form - Numbers 43 - 26 60 - 38
- 28. What Strategies Might You Look For? • Place Value • Properties • Composing & Decomposing • Counting Strategies • Expanded Form
- 29. Reflect What are your next steps for implementing these ideas?
- 34. THANK YOU! Kimberly Rimbey, Ph.D. KP Mathematics 623-297-7373 www.kpmathematics.com kpkimrimbey@gmail.com
Editor's Notes
- A5: Beyond the Algorithm: Addition and Subtraction Strategies that Make Sense! By Kimberly Rimbey K-4 Making sense of multi-digit subtraction requires strong connections with addition and place value. Join us as we explore addition and subtraction using concrete and visual models, connected to written work, and grounded in problem solving. Formative assessment strategies will be included.