Why do some equations have one solution, others two or even more solutions and some no solutions? Why do we sometimes need to ""switch"" the direction of an inequality symbol in solving an inequality? What could you say if a student described a function as an equation?How much do you know...and how much do you need to know?Helping your students develop a robust understanding of expressions, equations and functions requires that you understand this mathematics deeply. But what does that mean?This book focuses on essential knowledge for teachers about expressions, equations and functions. It is organised around five big ideas, supported by multiple smaller, interconnected ideas - essential understandings. Taking you beyond a simple introduction to expressions, equations and functions, the book will broaden and deepen your mathematical understanding of one of the most challenging topics for students - and teachers. It will help you engage your students, anticipate their perplexities, avoid pitfalls and dispel misconceptions. You will also learn to develop appropriate tasks, techniques and tools for assessing students' understanding of the topic.Focus on the ideas that you need to understand thoroughly to teach confidently.

Get a deeper understanding of Expressions, Equations, and Functions with our concise and comprehensive Go-To Guide.Based on Developing Essential Understanding of Expressions, Equations, and Functions and Putting Essential Understanding of Expressions and Equations into Practice, this summary distills the key concepts and ideas into a quick-reference guide that's perfect for:Supplementing your reading of Developing Essential Understanding of Expressions, Equations, and Functions and Putting Essential Understanding of Expressions and Equations into PracticeReviewing the basics before diving deeper into the subjectRefreshing your knowledge and filling in gaps in your understanding Identifying areas where you need more information and want to learn moreGo-To Guides are designed to provide you with a thorough grasp of the mathematical ideas and principles needed to teach Expressions, Equations, and Functions by focusing on the core concepts and relationships that underlie the subject.This Go-To Guide is perfect for those looking to:Develop a deeper understanding of Expressions, Equations, and Functions Create targeted lessons and activities that meet the needs of studentsAnticipate common student misconceptions and errorsDesign effective assessments and evaluationsEnhance your own math knowledge and skillsWhether you're new to teaching Expressions, Equations, and Functions or an experienced educator, our Go-To Guides will be your trusted resource for teaching with confidence and clarity.

This book explores the connection between the ways people speak in mathematics classrooms and their opportunities to learn mathematics. The words spoken, heard, written and read in mathematics classrooms shape students’ sense of what mathematics is and of what people can do with mathematics. The authors employ multiple perspectives to consider the means for transformative action with respect to increasing opportunities for traditionally marginalized students to form mathematical identities that resonate with their cultural, social, linguistic, and political beings.

Why do some equations have one solution, others two or even more solutions and some no solutions? Why do we sometimes need to ""switch"" the direction of an inequality symbol in solving an inequality? What could you say if a student described a function as an equation?How much do you know...and how much do you need to know?Helping your students develop a robust understanding of expressions, equations and functions requires that you understand this mathematics deeply. But what does that mean?This book focuses on essential knowledge for teachers about expressions, equations and functions. It is organised around five big ideas, supported by multiple smaller, interconnected ideas - essential understandings. Taking you beyond a simple introduction to expressions, equations and functions, the book will broaden and deepen your mathematical understanding of one of the most challenging topics for students - and teachers. It will help you engage your students, anticipate their perplexities, avoid pitfalls and dispel misconceptions. You will also learn to develop appropriate tasks, techniques and tools for assessing students' understanding of the topic.Focus on the ideas that you need to understand thoroughly to teach confidently.

Get a deeper understanding of Expressions, Equations, and Functions with our concise and comprehensive Go-To Guide.Based on Developing Essential Understanding of Expressions, Equations, and Functions and Putting Essential Understanding of Expressions and Equations into Practice, this summary distills the key concepts and ideas into a quick-reference guide that's perfect for:Supplementing your reading of Developing Essential Understanding of Expressions, Equations, and Functions and Putting Essential Understanding of Expressions and Equations into PracticeReviewing the basics before diving deeper into the subjectRefreshing your knowledge and filling in gaps in your understanding Identifying areas where you need more information and want to learn moreGo-To Guides are designed to provide you with a thorough grasp of the mathematical ideas and principles needed to teach Expressions, Equations, and Functions by focusing on the core concepts and relationships that underlie the subject.This Go-To Guide is perfect for those looking to:Develop a deeper understanding of Expressions, Equations, and Functions Create targeted lessons and activities that meet the needs of studentsAnticipate common student misconceptions and errorsDesign effective assessments and evaluationsEnhance your own math knowledge and skillsWhether you're new to teaching Expressions, Equations, and Functions or an experienced educator, our Go-To Guides will be your trusted resource for teaching with confidence and clarity.

This book explores the connection between the ways people speak in mathematics classrooms and their opportunities to learn mathematics. The words spoken, heard, written and read in mathematics classrooms shape students’ sense of what mathematics is and of what people can do with mathematics. The authors employ multiple perspectives to consider the means for transformative action with respect to increasing opportunities for traditionally marginalized students to form mathematical identities that resonate with their cultural, social, linguistic, and political beings.