Grade: 4 - Gifted and Talented 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 Everyday Mathematics - 5 involving whole numbers. Units 1, 2, 7, 10 "Patterns that Grow" (5 lessons) Illuminations - "Lessons" Descriptions using tables, verbal rules, simple Unit 10 Assessment • equations, and graphs B. Functions & Relationships 1. Describe arithmetic operations as functions, Unit 7 Assessment Everyday Mathematics - The Four Everyday Mathematics - 5 including combining operations and reversing them. 4's Project Unit 7 Everyday Mathematics - 5 Unit 9 2. Graph points satisfying a function from T-charts, Unit 10 Assessment Everyday Mathematics - 5 from verbal rules, and from simple equations. Unit 10 (Lessons 4 & 6) C. Modeling 1. Use number sentences to model situations. Student completion of booklet. First to 100 - Everyday Mathematics Everyday Mathematics - Using variables to represent unknown quantities Units 3, 4, 10 • Using concrete materials, tables, graphs, verbal Student demonstration Hands on Algebra • rules, algebraic expressions/equations Hands on Algebra, Borenson & Assoc., 1994 2. Draw freehand sketches of graphs that model real Circulate, complete, and share Everyday Mathematics 10.5 - Everyday Mathematics - phenomena and use such graphs to predict and Journal p. 360 Predicting Old Faithful's Next Unit 10 interpret events. Eruption Lesson 5 Changes over time •
Grade: 4 - Gifted and Talented 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. "Patterns that Grow" (5 lessons) Everyday Mathematics - 5 Units 1, 2, 7, 10 Illuminations - "Lessons" • Descriptions using tables, verbal rules, simple equations, and graphs Unit 10 Assessment B. Functions & Relationships 1. Describe arithmetic operations as functions, including combining operations and reversing them. Unit 7 Assessment Everyday Mathematics - The Four 4's Project Everyday Mathematics - 5 Unit 7 Everyday Mathematics - 5 Unit 9 2. Graph points satisfying a function from T-charts, from verbal rules, and from simple equations. Unit 10 Assessment Everyday Mathematics - 5 Unit 10 (Lessons 4 & 6) C. Modeling 1. Use number sentences to model situations. • Using variables to represent unknown quantities • Using concrete materials, tables, graphs, verbal rules, algebraic expressions/equations Student completion of booklet. Student demonstration First to 100 - Everyday Mathematics Hands on Algebra Everyday Mathematics - Units 3, 4, 10 Hands on Algebra, Borenson & Assoc., 1994 2. Draw freehand sketches of graphs that model real phenomena and use such graphs to predict and interpret events. Circulate, complete, and share Journal p. 360 Everyday Mathematics 10.5 - Predicting Old Faithful's Next Eruption Everyday Mathematics - Unit 10 Lesson 5 • Changes over time
FINAL_K-6_CURRICULUM_AUGUST_2010.docx