Grade: 6 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 1. Recognize, describe, extend, and Unit Assessments Direct Instruction Groundworks Series Algebraic Reasoning – create patterns involving whole numbers, and Do Now Cooperative Collaborative Van De Walle Chapters 22-25 – rational numbers: descriptions using tables, Teacher Observation Learning Experiences Everyday Mathematics, Book 6- Units, 3, 6, 9 – verbal simple equations and graphs; formal Class Discussion Written Explanations Pad Lesson Links Geometer’s Sketch iterative formulas; recursive patterns, Slate Assessments Open Ended Writing Tasks including Pascal's Triangle and the Fibonacci Open Ended Writing Games Sequence; Generating sequences by using Tasks Pad Geometer’s Sketch calculators to repeatedly apply a formula. RSA Sections of EM3 Links B. Functions and Relationships 1. Describe the general behavior of functions given by formulas or verbal rules Van De Walle Chapter 23 C. Modeling 1. Use patterns, relations, and linear functions to model situations: Using variables to represent unknown quantities; Using concrete materials (manipulatives), tables, graphs, verbal rules, algebraic expressions/equations/ inequalities. Van De Walle Chapter 23
Grade: 6 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 1. Recognize, describe, extend, and create patterns involving whole numbers, and rational numbers: descriptions using tables, verbal simple equations and graphs; formal iterative formulas; recursive patterns, including Pascal's Triangle and the Fibonacci Sequence; Generating sequences by using calculators to repeatedly apply a formula. Unit Assessments Do Now Teacher Observation Class Discussion Slate Assessments Open Ended Writing Tasks RSA Sections of EM3 Direct Instruction Cooperative – Collaborative Learning Experiences Written Explanations Open Ended Writing Tasks Games Geometer’s Sketch Pad Links Groundworks Series – Algebraic Reasoning Van De Walle Chapters 22-25 Everyday Mathematics, Book 6- – Units, 3, 6, 9 Geometer’s Sketch Pad Lesson Links B. Functions and Relationships 1. Describe the general behavior of functions given by formulas or verbal rules Van De Walle Chapter 23 C. Modeling 1. Use patterns, relations, and linear functions to model situations: Using variables to represent unknown quantities; Using concrete materials (manipulatives), tables, graphs, verbal rules, algebraic expressions/equations/ inequalities. Van De Walle Chapter 23
FINAL_K-6_CURRICULUM_AUGUST_2010.docx