Try It!: Gives students an opportunity to answer a similar question to check how well they have grasped the concept.Ĭlass Activity: Introduces new concepts through cooperative learning methods.īasic Practice: Provides simple questions that involve the direct application of concepts.įurther Practice: Provides more challenging questions that involve the direct application of Provides questions that involve the application of integrated concepts to practical situations.īrainworks: Provides higher-order thinking questions that involve an open-ended approach to problem solving. Lessons progress as follows:Ĭhapter Opener: Introduces a topic through a real world example and identifies learning objectives.Įxample: Helps students understand and master a concept through a worked example. In Dimensions Math 6-8 Textbooks, lessons engage students with different levels of problem solving and real world application of math topics. Home Instructor’s Guides include answer keys for corresponding Dimensions Math Textbooks and Workbooks. They include extensive background notes, lesson suggestions, tips, and activities. Home Instructor’s Guides are an essential resource for teaching Dimensions Math in a home or one-on-one setting. The Teacher’s Guides give more ideas for differentiation and include math literature suggestions. Teacher’s Guides are in full color and include reduced-size copies of Textbook and Workbook pages for easy reference to every lesson. Workbook exercises are differentiated and include basic problems, practice problems, and challenging problems. They are where students hone their skills, and are a necessary component of the series. Workbooks offer independent practice while maintaining the careful progression of exercise variation. Textbooks and Workbooks include additional problems. This is followed by a set of learning tasks that extend the concept, ending with a set of problems to assess understanding. They begin with a problem for discussion, move to an explanation of the concepts, introduce vocabulary, and provide various approaches to solving the problem. Lessons in Grades 1-5 are well-defined and follow a consistent sequence. Instead, CPA principles are woven throughout the curriculum, and support other important strategies such as number bonds, bar modeling, and mental math. Not all lessons include all three CPA stages as application of this approach varies by topic. Students work towards math mastery when they view concepts with increasing levels of abstraction over time. In the abstract phase, students use symbolic modeling of problems using numbers and math symbols (+, −, ×, ÷).īy varying the methods and phases of CPA fluidly, educators help reinforce important connections. For example, real oranges (or counters standing in for oranges) are now represented as drawings of oranges. In the pictorial phase, they make a mental connection between the objects they just handled and visual representations of those objects. In the concrete phase, students interact with physical objects to model problems. This highly effective framework introduces concepts in a tangible way and progresses to increasing levels of abstraction. The Concrete, Pictorial, Abstract (CPA) approach develops a deep understanding of math through building on existing knowledge. Stay up to date on product releases and more by following us on Instagram, and subscribing to our newsletter. It’s a great place for sharing tips and asking questions. There are so many ways to stay in the loop and continue learning with Singapore math!Ĭonnect with other parents and teachers on the Singapore Math user community Facebook group to get the most out of your curriculum. Connect to free resources, news, and our online community Our programs divide the school year into two semesters: A and B.ĭimensions Math at Home™ video subscription Dimensions Math PK–5 Suggested Manipulatives Once you’ve decided on a program and a suitable grade, head to the shop to gather the material to make up a complete school year. Not sure which level is right for your child? We offer free placement tests to determine the appropriate starting point. Start by learning about what each has to offer to decide on a good fit. Our two most popular programs are Dimensions Math® PK–8 and Primary Mathematics 1–6. Welcome to the start of your Singapore math journey!
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