How can we make sure that students grasp the real meaning behind mathematical concepts instead of just memorizing algorithms? how can we help students develop an in depth mathematical understanding? hands on standards, deluxe edition:the first source for in ducing math manipulatives (grades 5-6) provides teachers with easy to access ways to help students "visualize mathematics."this manual presents 71 grade appropriate lessons designed to engage teachers and students in meaningful, authentic learning. each lesson defines the specific concepts and skills that will be presented to students and includes step by step procedures for solving a related real world problem. full color photographs clearly illustrate each step . because it is important to reinforce learning, ideas for expanding the lesson, or for suing other manipulatives to demonstrate the same concept, are provided. hands on standards is divided into five sections number and operations, geometry, algebra, measurement, and data analysis and probability. these sections are aligned with the national council of teachers of mathematics (nctm) concept strands. each lesson provides teachers with a framework for using a manipulative to illustrate a concept. each lesson in this book features one of the following manipulatives: anglegs. base ten blocks. centimeter cubes. color tiles . cuisenaire rods. deluxe rainbow fraction circles. deluxe rainbow fraction squares. fraction circle rings . fraction tower equivalency. cubes . geoboard . georeflector mirror. pattern blocks . polyhedral dice. relational geosolids . snap cubes. spinners . two color counters . xy coordinate pegboard.