How do composing and decomposing numbers connect with the properties of addition? Focus on the ideas that you need to thoroughly understand in order to teach with confidence. The mathematical content of this book focuses on essential knowledge for teachers about numbers and number systems. It is organised around one big idea and supported by smaller, more specific, interconnected ideas (essential understandings). Gaining this understanding is essential because numbers and numeration are building blocks for other mathematical concepts and for thinking quantitatively about the real-world. ...

Guided by the views of the Principles and Standards for School Mathematics, NCTM has created a new three-book series designed to help teachers support high-quality mathematics learning for diverse student populations in the classroom. The articles in the Grades 9-12 book demonstrate how connecting real-life activities with mathematical concepts and building on students' knowledge and experiences, can help them excel in the classroom. Strategies that can immediately be implemented to help students form better connections with the content they are studying are also described.