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Level 2 Training Session 3B: Rigor. Instructional Shifts: Focusing on Rigor. R igor does not mean “hard problems.” Rigor represents a balance of three fundamental components that result in deep mathematical understanding.
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Level 2 Training Session 3B: Rigor Instructional Shifts: Focusing on Rigor
Rigor does not mean “hard problems.” • Rigor represents a balance of three fundamental components that result in deep mathematical understanding. • In our instruction, there must be variety in what students are asked to produce. Rigor:Combination of Conceptual Understanding, Fluency, and Application
Rigor is about the depth of what is expected in the standards, and also about what one should expect to see happening in the classroom, what one would hear in student conversations, and what curricular materialsone might presented to students. What Does Rigor Really Mean?
Conceptual Understanding: • 3.NF.1 Understand a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b equal parts; understand a fraction a/b as the quantity formed by a parts of size 1/b. • Procedural Skill and Fluency: • 5.NBT.5 Fluently multiply multi-digit whole numbers using the standard algorithm. • Application: • 7.NS.3 Solve real-world and mathematical problems involving the four operations with rational numbers. Samples: Components of Rigor
As you review instructional materials, ask yourself: What does it look and sound like when students are working on the following: • Procedural skill and fluency? • Conceptual understanding? • Application? Preplanning for Viewing Instructional Materials
Resources • Illustrative Mathematics (K-8) • Inside Mathematics (K-12) • Math Solutions (K-8) • Mathematics Assessment Project (6-12) • National Council for Teachers of Mathematics (K-12) • Achieve the Core – Annotative Tasks (K-12) Resources For Instructional Planning
Small Group Sharing: • Share one or two tasks you found in these resources that you will use with your students in the upcoming week(s)? • Share which components of Rigor are included in each instructional task selected: • Proceduralskill and fluency? • Conceptual understanding? • Application? • What as a team can you do to ensure that the rigor of lessons presented match the rigor of the standards? Reflection Journal