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Illustrative Mathematics

Illustrative Mathematics

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NCTM Brain Teasers Sliding Triangle The triangle at left lies on a flat surface and is pushed at the top vertex. The length of the congruent sides does not change, but the angle between the two congruent sides will increase, and the base will stretch. Initially, the area of the triangle will increase, but eventually the area will decrease, continuing until the triangle collapses. What is the maximum area achieved during this process? And, what is the length of the base when this process is used to create a different triangle whose area is the same as the triangle above? Standards for Mathematical Practice "Does this make sense?" Mathematically proficient students start by explaining to themselves the meaning of a problem and looking for entry points to its solution. They analyze givens, constraints, relationships, and goals. They make conjectures about the form and meaning of the solution and plan a solution pathway rather than simply jumping into a solution attempt. They consider analogous problems, and try special cases and simpler forms of the original problem in order to gain insight into its solution. They monitor and evaluate their progress and change course if necessary.

Strategies for Successful Co-Teaching All Things Considered Other topics to discuss with your co-teacher before the first school bell rings: • When is our common planning time? • Should we set aside other time (early-morning coffee, lunchtime walks) for additional planning? • What are your pet peeves? • How will we introduce ourselves to the students? • How will we arrange the classroom for flexible grouping? Mathlanding Educator Review Learning Scores Engagement Is the product stimulating, entertaining, and engrossing? Will kids want to return? 3 Responding to Student Progress One area where I need a lot of growth is responding to the progress of my students. Specifically, what are the next steps after I’ve identified the level of understanding in certain concepts? I recently decided to tackle this challenge during our review days for the state assessment. The goal was to review the most tested concepts, but I also wanted the kids to work on their biggest struggle areas.

Model Curriculum: Mathematics (K-12) Mathematics (K-12) REVISED Model Curriculum – June 2014 The model curriculum is intended as a tool to support districts in their own curricular planning. During its development, teams of educators used all available information about the Common Core State Standards and PARCC to appropriately organize and sequence the standards across five units. The Digital Divide: Resource Roundup Digital Access and Equity Is Your School #FutureReady? by Suzie Boss (2014) Two recent events have the potential to help schools nationwide get up to speed when it comes to internet access and equity. How Teachers Use Technology: The Latest Research, by Mary Beth Hertz (2013) Hertz considers the implications of a study by Pew Research about how teachers are using technology at home and in their classrooms and what it can tell us about the digital divide. Also consider reading her earlier post from 2011, "A New Understanding of the Digital Divide," for a discussion of earlier studies and what they said about differences in types of access among groups of students. Bridging the New Digital Divide, by Lori Day (2013) Day, an educational psychologist and consultant, suggests that the new digital divide is more about the speed of tech upgrades than the gap between tech haves and have-nots.

Maths Search 12 problems, 2 games, 7 articles, 5 general resources, 2 interactive environments, 10 Lists, 20 from Stage 1, 28 from Stage 2, 5 from Stage 3, 3 from Stage 4, 1 from Stage 5 Cuisenaire Without Grid Stage: 1 and 2 Challenge Level: Math Programs: How They Rate on Common-Core Alignment Based on market share and states’ recommendations, selected 20 math instructional series to review for common-core alignment. (For reporting purposes, K-5 and 6-8 texts from the same publisher were considered separate series.) Small teams of educators scored the digital and print texts on focus, coherence, rigor, and usability.

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