Decomposing Rectilinear Figures Into Rectangles

Mastering Math Manipulatives, Grades K-3

Put math manipulatives to work in your classroom and make teaching and learning math both meaningful and productive. Would you like to bring math learning to life and make it more concrete, relevant, and accessible to your students? Do you wish you could do more with the manipulatives buried in your supply closet? Do you want to more effectively use virtual manipulatives in your distance learning? Whether physical or virtual, commercial or home-made, manipulatives are a powerful learning tool to help students discover and represent mathematical concepts. Mastering Math Manipulatives includes everything you need to integrate math manipulatives—both concrete and virtual—into math learning. Each chapter of this richly illustrated, easy-to-use guide focuses on a different powerful tool, such as two-color counters, linking cubes, base ten blocks, fraction manipulatives, pattern blocks, tangrams, geometric solids, and others, and includes a set of activities that demonstrate the many ways teachers can leverage manipulatives to model and reinforce math concepts for all learners. It features: Classroom strategies for introducing math manipulatives, including commercial, virtual, and hand-made manipulatives, into formal math instruction. Step-by-step instructions for 75 activities that work with any curriculum, including four-color photos, printable work mats, and demonstration videos. Handy charts that sort activities by manipulative type, math topic, domains aligned with standards, and grade-level appropriateness. It′s time to dive in and join in the journey toward making manipulatives meaningful so math learning is concrete, profound, and effective for your students!

Decomposing Rectilinear Figures Into Rectangles

The Common Core Mathematics Companion: The Standards Decoded, Grades 3-5

Your user’s guide to the mathematics standards In the 12 short months since the ELA versions of The Common Core Companions, Grades K-2 and 3-5, burst on the scene, they’ve already assisted tens of thousands of teachers with the day-to-day "what you do." Teachers’ one big criticism: what about mathematics? Luckily NCTM past-president Linda Gojak and mathematics coach Ruth Harbin Miles stepped up to the task. The result? That version of the mathematics standards you wish you had. Page by page, The Common Core Mathematics Companions clearly lay out: The mathematics embedded in each standard for a deeper understanding of the content Examples of what effective teaching and learning look like in the classroom Connected standards within each domain so teachers can better appreciate how they relate Priorities within clusters so teachers know where to focus their time The three components of rigor: conceptual understanding, procedural skills, and applications Vocabulary and suggested materials for each grade-level band with explicit connections to the standards Common student misconceptions around key mathematical ideas with ways to address them Don’t spend another minute poring over the mathematics standards. Gojak and Miles have already done the heavy-lifting for you. Focus instead on how to teach them, using The Common Core Mathematics Companion as your one-stop guide for teaching, planning, assessing, collaborating, and designing powerful mathematics curriculum.