CC Math 6 Expressions and Equations Unit 3

CC Math 6: Expressions and Equations Unit 3

Purpose Provided is a lesson for teachers to use to help students understand how to construct and analyze function tables. Included are the following resources: Standards Getting Ready for the Lesson (Resources and Tips) Expressions and Equations Learning Progression Vocabulary Activities Textbook Connections Lesson Agenda Lesson (Presentation and Video) Additional Resources

Common Core Standards 6. EE. 9 Use variables to represent two quantities in a real-world problem that change in relationship to one another; write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable. Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation. (Understand, 3) (Apply, 3) (Analyze, 3)

Math Practices MP 1 • Make sense of problems and persevere in solving them. MP 8 • Look for and express regularity in repeated reasoning.

Expressions & Equat Prerequisite Skills: CC Math 6 https: //commoncoretools. files. wordpress. com/2011/04/ccss_progression_ee_2011_04_25. pdf

Progressions in Grade Level Standards 8 th Grades K – 6 th 7 th Grade 5 Grade Connectin g standards Ø Applying and Ø Use properties of extending operations to previous generate understanding equivalent s of arithmetic expressions. to algebraic Ø Solve multi-step expressions. and real-life Ø Reason about mathematical and solve oneproblems posed variable with positive and equations and negative rational inequalities. numbers in any Ø Represent and form. analyze Ø Solve real-life quantitative and relationships mathematical between problems using dependent and numerical and independent algebraic Source: expressions and variables. **New Course Ø Work with radicals and integer exponents. Ø Understand Ø Writing the numerical connections expressions between proportional Ø Interpreting relationship numerical s, lines, and expressions linear without equations. evaluating Ø Analyze and them. solve linear equations and pairs of simultaneou s equations. https: //commoncoretools. files. wordpress. com/2011/04/ccss_progression_ee_2011_04_25. pdf-

Learning Progression: Road to HS Algebra http: //commoncoretools. me/wp-content/uploads/2012/12/ccss_progression_algebra_2012_12_04. pdf

Lesson Agenda O Vocabulary O Video: Recognize how an equation relates independent and dependent variables O Lesson: Pancake Mix O Textbook Connections

Core Lesson Recognize how an equation relates independent and dependent variables

Getting Ready O Pre-assessment- used to determine understanding of prerequisite skills O Prerequisite skills include O 6 EE. 1 O Write and evaluate numerical expressions involving whole number exponents. O 6 EE. 2 A O Write expressions that record operations with numbers and letters standing for numbers. O 6 EE. 6 O Use variables to represent numbers and write expressions when solving a real-world or mathematical problem; understand that a variable can represent an unknown number, or, depending on the purpose at hand, any number in a specified set. Source: http: //curtismapper. pic. ucla. edu/Map. App/app/#/map

Misconceptions and Anticipated Issues Suggested Strategies/Resources Common Issues Plotting points (y, x) instead of (x, y). b. Viewing the relationship shown in an equation backwards. For example, y = 6 x, students may think this means that x is 6 times larger than y. c. Not being able to identify the independent and dependent variables in a written context. a. Use a whole-class discussion to review order of plotting points. b. Use a whole-class discussion to analyze and interpret the relationship shown within several sample equations. c. Teacher models how to identify independent and dependent variables using think-aloud strategy during wholeclass discussion. a.

Required Resources Materials Required Special Materials: O Graph paper for each student Handouts: O Learn. Zillion presentation handouts O Learn. Zillion additional worksheets O https: //learnzillion. com/lesson_plans/681 -recognize-how-an- equation-relates-independent-and-dependent-variables

Needed Vocabulary O Equation Frayer Model Example Alternative tools: Word Map, Layered Book, etc.

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Understand solve unit rate problems by using graphs of equivalent ratios https: //learnzillion. com/lesson_plans/681 -recognize-how-anequation-relates-independent-and-dependent-variables

Planning and Time Activities Time Notes Preparation 2 hours Includes creating a preassessment, making copies, obtaining materials Pre-lessons 2 hours Review of 6 th grade EE standards Vocabulary 1 hour Defining equation, dependent and independent variables Pancake Task-Lesson 2 hours Explanation and completion of work Practice and Additional Tasks 3 hours Additional worksheets from Learn. Zillion, Textbook practice, Illustrative Mathematics Tasks Total Time 10 hours

Textbook Connection: California Math O Textbook Course 1 Section 8. 1 O Problem-Solving Investigation: Making a Table, Pages 611 -612 O Classwork: Page 582 -584, problems 1 – 7 O Homework: Page 584, problems 8 -13 O Extra Practice: Course 1 Resources by Chapter Section 8. 1 O Lesson 8. 1 HW Practice O Lesson 8. 1 Extra Practice: Completing Function Tables O Student Re-teaching Section 8. 1 O Re-teaching: Function Tale O Assessment Book Course 1 Section 8. 1 O Self-Check Quick 8. 1

Additional Resources O Illustrative Mathematics - www. illustrativemathematics. com O Chocolate Bar Sales O https: //www. illustrativemathematics. org/content- standards/tasks/806 O Khan Academy - www. khanacademy. org O Inside Mathematics O Gym Task O http: //www. insidemathematics. org/assets/commoncore-math-tasks/gym. pdf O Mathematics Assessment Project O Modeling: Car Skid Marks O http: //map. mathshell. org/lessons. php? collection=8&unit =6210#task 588

Textbook Connection: Go Math O Lesson 12. 2: Independent and Dependent Variables in Tables and Graphs O Classwork Page 344, Problems 1 – 5 O Homework Page 345 -346, Problems 6 -10 O Lesson 12. 3: Writing Equations From Tables O Classwork Page 350, Problems 1 – 6 O Homework Page 351 -352, Problems 7 -15 O Lesson 12. 4: Representing Algebraic Relationships in Tables and Graphs O Classwork Page 356, Problems 1 – 4 O Homework Page 357 -358, Problems 5 -14

Textbook Connection CPM O 8. 1. 2 What is Typical Value? O Classwork, Pages 382 -383 O Homework, Pages 384 -388 O 8. 1. 3 How else can I describe the data ? O Classwork, Pages 389 -392 O Homework, Page 393

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