In this lesson from Illuminations, students explore and discover linear relationships. Linear patterns are identified, extended and described verbally, numerically and algebraically through three investigations. Using manipulatives and the linked applet, "Chairs", learners determine the number of chairs needed when the number of tables is known, and vice versa. Instructional plan, questions for the students, assessment options, extensions and teacher reflections are provided.
Keywords:Arithmetic sequence,Algebraic representation,Functions,NSDL,Grade 4,Grade 3,Addition,Upper Elementary,Express regularity,Strategies,Number concepts,Arithmetic,Analyze and persevere,Concept formation,Process skills,Number and operations,Linear,Inductive reasoning,Algebra,Grade 5,Properties of operations,Model with mathematics,Multiplication,Patterns and sequences,Visual representation,Whole numbers,Vocational/Professional Development Education,NSDL_SetSpec_ncs-NSDL-COLLECTION-000-003-112-027,Practice Standards,Elementary School,Number patterns,Reason quantitatively,Algebraic thinking,oai:nsdl.org:2200/20140728160515086T,Operations,Sequences and series,Algebraic manipulation,Communication,Mathematical language,Mathematics,Connections,Problem solving,Order of operations,Education,Construct arguments,Reasoning,Representation