Grade: 6th Algebra 1A Topic 4.3 Patterns and Algebra Essential Questions: How can patterns help in problem solving? How can symbols be used to help us in problem solving? How does the study of algebra help us understand mathematical patterns as the patterns found in nature & the real world? Knowledge/Skills/Understandings Assessments Learning Experiences Resources A. Patterns Recognize, describe, extend, and create patterns involving whole numbers, rational Unit Assessments Direct Instruction Discovering Algebra Chapter 4 numbers, and integers: Descriptions using Do Now Lesson Investigation 4.3, 4.4, 4.6 tables, verbal and symbolic rules, graphs, Teacher Observation Modeling simple equation or expressions; Finite and Discussion Graphing Calculators infinite sequences; Arithmetic sequences; Investigation Results Geometric sequences; Generating Open Ended Writing sequences by using calculators to repeatedly Tasks apply to a formula. B. Functions and Relationships 1. Graph functions, and understand and Lesson Investigations 4.4, 4.6, 4.7, Discovering Algebra describe their general behavior: Equations 5.1, 5.1, 5.2, 5.3 Chapters 4 and 5 involving two variables; Rates of change (informal notion of slope). C. Modeling 1. Analyze functional relationships to explain Lesson Investigations 3.2, 4.3, 4.4, Discovering Algebra how a change in one quantity can result in a 4.6, 4.7, 5.1, 5.2, 5.3 Chapters 3, 4, 5 change in another, using pictures, graphs, charts, and equations.
Grade: 6th Algebra 1A Topic 4.3 Patterns and Algebra Essential Questions: How can patterns help in problem solving? How can symbols be used to help us in problem solving? How does the study of algebra help us understand mathematical patterns as the patterns found in nature & the real world? Knowledge/Skills/Understandings Assessments Learning Experiences Resources A. Patterns Recognize, describe, extend, and create patterns involving whole numbers, rational numbers, and integers: Descriptions using tables, verbal and symbolic rules, graphs, simple equation or expressions; Finite and infinite sequences; Arithmetic sequences; Geometric sequences; Generating sequences by using calculators to repeatedly apply to a formula. Unit Assessments Do Now Teacher Observation Discussion Investigation Results Open Ended Writing Tasks Direct Instruction Lesson Investigation 4.3, 4.4, 4.6 Modeling Graphing Calculators Discovering Algebra Chapter 4 B. Functions and Relationships 1. Graph functions, and understand and describe their general behavior: Equations involving two variables; Rates of change (informal notion of slope). Lesson Investigations 4.4, 4.6, 4.7, 5.1, 5.1, 5.2, 5.3 Discovering Algebra Chapters 4 and 5 C. Modeling 1. Analyze functional relationships to explain how a change in one quantity can result in a change in another, using pictures, graphs, charts, and equations. Lesson Investigations 3.2, 4.3, 4.4, 4.6, 4.7, 5.1, 5.2, 5.3 Discovering Algebra Chapters 3, 4, 5
FINAL_K-6_CURRICULUM_AUGUST_2010.docx