Illustrative mathematics algebra 2 unit 2 lesson 1 answer key

Contents

1. 2019 Cover, IM, Teacher, Algebra 2, Unit 1.pdf
   1. Blank Page
2. Algebra2-1-Unit-teacher-guide ready CCSS.pdf
   1. Unit Narrative
      1. Unit Narrative
      2. Required Materials
   2. Assessments
      1. Assessment : Check Your Readiness
         1. Teacher Instructions
         2. Student Instructions
         3. Problem 1
         4. Statement
         5. Solution
         6. Aligned Standards
         7. Problem 2
         8. Statement
         9. Solution
         10. Aligned Standards
         11. Problem 3
         12. Statement
         13. Solution
         14. Aligned Standards
         15. Problem 4
         16. Statement
         17. Solution
         18. Aligned Standards
         19. Problem 5
         20. Statement
         21. Solution
         22. Aligned Standards
         23. Problem 6
         24. Statement
         25. Solution
         26. Aligned Standards
      2. Assessment : End-of-Unit Assessment
         1. Teacher Instructions
         2. Student Instructions
         3. Problem 1
         4. Statement
         5. Solution
         6. Aligned Standards
         7. Problem 2
         8. Statement
         9. Solution
         10. Aligned Standards
         11. Problem 3
         12. Statement
         13. Solution
         14. Aligned Standards
         15. Problem 4
         16. Statement
         17. Solution
         18. Aligned Standards
         19. Problem 5
         20. Statement
         21. Solution
         22. Aligned Standards
         23. Problem 6
         24. Statement
         25. Solution
         26. Aligned Standards
         27. Problem 7
         28. Statement
         29. Solution
         30. Aligned Standards
      3. Lesson 1: A Towering Sequence
         1. Goals
         2. Learning Targets
         3. Lesson Narrative
            1. Alignments
            2. Building Towards
            3. Instructional Routines
            4. Required Materials
            5. Required Preparation
            6. Student Learning Goals
      4. 1.1 What’s Next?
         1. Building Towards
         2. Instructional Routines
         3. Launch
         4. Anticipated Misconceptions
         5. Student Task Statement
         6. Student Response
         7. Activity Synthesis
      5. 1.2 The Tower of Hanoi
         1. Building Towards
         2. Instructional Routines
         3. Launch
         4. Anticipated Misconceptions
         5. Student Task Statement
         6. Student Response
         7. Are You Ready for More?
         8. Student Response
         9. Activity Synthesis
      6. 1.3 Checker Jumping Puzzle
         1. Building Towards
         2. Launch
         3. Anticipated Misconceptions
         4. Student Task Statement
         5. Student Response
         6. Activity Synthesis
         7. Lesson Synthesis
      7. 1.4 Next?
         1. Building Towards
         2. Student Task Statement
         3. Student Response
         4. Student Lesson Summary
         5. Glossary
      8. Lesson 1 Practice Problems
         1. Problem 1
         2. Statement
         3. Solution
         4. Problem 2
         5. Statement
         6. Solution
         7. Problem 3
         8. Statement
         9. Solution
         10. Problem 4
         11. Statement
         12. Solution
      9. Lesson 2: Introducing Geometric Sequences
         1. Goals
         2. Learning Targets
         3. Lesson Narrative
            1. Alignments
            2. Building Towards
            3. Instructional Routines
            4. Required Materials
            5. Required Preparation
            6. Student Learning Goals
      10. 2.1 Notice and Wonder: A Pattern in Lists
          1. Building Towards
          2. Instructional Routines
          3. Launch
          4. Student Task Statement
          5. Student Response
          6. Activity Synthesis
      11. 2.2 Paper Slicing
          1. Building Towards
          2. Instructional Routines
          3. Launch
          4. Anticipated Misconceptions
          5. Student Task Statement
          6. Student Response
          7. Are You Ready for More?
          8. Student Response
          9. Activity Synthesis
      12. 2.3 Complete the Sequence
          1. Building Towards
          2. Launch
          3. Student Task Statement
          4. Student Response
          5. Activity Synthesis
          6. Lesson Synthesis
      13. 2.4 A Possible Geometric Sequence
          1. Building Towards
          2. Student Task Statement
          3. Student Response
          4. Student Lesson Summary
          5. Glossary
      14. Lesson 2 Practice Problems
          1. Problem 1
          2. Statement
          3. Solution
          4. Problem 2
          5. Statement
          6. Solution
          7. Problem 3
          8. Statement
          9. Solution
          10. Problem 4
          11. Statement
          12. Solution
          13. Problem 5
          14. Statement
          15. Solution
          16. Problem 6
          17. Statement
          18. Solution
      15. Lesson 3: Different Types of Sequences
          1. Goals
          2. Learning Targets
          3. Lesson Narrative
             1. Alignments
             2. Building On
             3. Addressing
             4. Building Towards
             5. Instructional Routines
             6. Student Learning Goals
      16. 3.1 Remembering Function Notation
          1. Building On
          2. Building Towards
          3. Launch
          4. Anticipated Misconceptions
          5. Student Task Statement
          6. Student Response
          7. Activity Synthesis
      17. 3.2 Three Sequences
          1. Building Towards
          2. Instructional Routines
          3. Launch
          4. Anticipated Misconceptions
          5. Student Task Statement
          6. Student Response
          7. Are You Ready for More?
          8. Student Response
          9. Activity Synthesis
      18. 3.3 Representing a Sequence
          1. Addressing
          2. Building Towards
          3. Student Task Statement
          4. Student Response
          5. Activity Synthesis
          6. Lesson Synthesis
      19. 3.4 Do What’s Next
          1. Building Towards
          2. Student Task Statement
          3. Student Response
          4. Student Lesson Summary
          5. Glossary
      20. Lesson 3 Practice Problems
          1. Problem 1
          2. Statement
          3. Solution
          4. Problem 2
          5. Statement
          6. Solution
          7. Problem 3
          8. Statement
          9. Solution
          10. Problem 4
          11. Statement
          12. Solution
          13. Problem 5
          14. Statement
          15. Solution
          16. Problem 6
          17. Statement
          18. Solution
          19. Problem 7
          20. Statement
          21. Solution
      21. Lesson 4: Using Technology to Work with Sequences
          1. Goals
          2. Learning Targets
          3. Lesson Narrative
             1. Alignments
             2. Building On
             3. Addressing
             4. Building Towards
             5. Instructional Routines
             6. Required Materials
             7. Required Preparation
             8. Student Learning Goals
      22. 4.1 Where Does It Live?
          1. Building Towards
          2. Launch
          3. Student Task Statement
          4. Student Response
          5. Activity Synthesis
      23. 4.2 Fill Down
          1. Addressing
          2. Instructional Routines
          3. Launch
          4. Student Task Statement
          5. Student Response
          6. Are You Ready for More?
          7. Student Response
          8. Activity Synthesis
      24. 4.3 Plot Some Points
          1. Building On
          2. Addressing
          3. Instructional Routines
          4. Launch
          5. Student Task Statement
          6. Student Response
          7. Activity Synthesis
          8. Lesson Synthesis
      25. 4.4 Use a Spreadsheet
          1. Building On
          2. Addressing
          3. Instructional Routines
          4. Launch
          5. Student Task Statement
          6. Student Response
          7. Student Lesson Summary
      26. Lesson 4 Practice Problems
          1. Problem 1
          2. Statement
          3. Solution
          4. Problem 2
          5. Statement
          6. Solution
          7. Problem 3
          8. Statement
          9. Solution
          10. Problem 4
          11. Statement
          12. Solution
          13. Problem 5
          14. Statement
          15. Solution
          16. Problem 6
          17. Statement
          18. Solution
      27. Lesson 5: Sequences are Functions
          1. Goals
          2. Learning Targets
          3. Lesson Narrative
             1. Alignments
             2. Building On
             3. Addressing
             4. Building Towards
             5. Instructional Routines
             6. Student Learning Goals
      28. 5.1 Bowling for Triangles (Part 1)
          1. Building On
          2. Building Towards
          3. Launch
          4. Student Task Statement
          5. Student Response
          6. Activity Synthesis
      29. 5.2 Bowling for Triangles (Part 2)
          1. Addressing
          2. Launch
          3. Anticipated Misconceptions
          4. Student Task Statement
          5. Student Response
          6. Are You Ready for More?
          7. Student Response
          8. Activity Synthesis
      30. 5.3 Let's Define Some Sequences
          1. Addressing
          2. Instructional Routines
          3. Launch
          4. Anticipated Misconceptions
          5. Student Task Statement
          6. Student Response
          7. Activity Synthesis
          8. Lesson Synthesis
      31. 5.4 Define This Sequence
          1. Addressing
          2. Student Task Statement
          3. Student Response
          4. Student Lesson Summary
      32. Lesson 5 Practice Problems
          1. Problem 1
          2. Statement
          3. Solution
          4. Problem 2
          5. Statement
          6. Solution
          7. Problem 3
          8. Statement
          9. Solution
          10. Problem 4
          11. Statement
          12. Solution
          13. Problem 5
          14. Statement
          15. Solution
      33. Lesson 6: Representing Sequences
          1. Goals
          2. Learning Targets
          3. Lesson Narrative
             1. Alignments
             2. Building On
             3. Addressing
             4. Building Towards
             5. Instructional Routines
             6. Required Materials
             7. Student Learning Goals
      34. 6.1 Reading Representations
          1. Building Towards
          2. Student Task Statement
          3. Student Response
          4. Activity Synthesis
      35. 6.2 Matching Recursive Definitions
          1. Addressing
          2. Instructional Routines
          3. Launch
          4. Anticipated Misconceptions
          5. Student Task Statement
          6. Student Response
          7. Activity Synthesis
      36. 6.3 Squares of Squares
          1. Building On
          2. Addressing
          3. Instructional Routines
          4. Launch
          5. Anticipated Misconceptions
          6. Student Task Statement
          7. Student Response
          8. Are You Ready for More?
          9. Student Response
          10. Activity Synthesis
          11. Lesson Synthesis
      37. 6.4 Represent this Sequence
          1. Building On
          2. Addressing
          3. Student Task Statement
          4. Student Response
          5. Student Lesson Summary
      38. Lesson 6 Practice Problems
          1. Problem 1
          2. Statement
          3. Solution
          4. Problem 2
          5. Statement
          6. Solution
          7. Problem 3
          8. Statement
          9. Solution
          10. Problem 4
          11. Statement
          12. Solution
          13. Problem 5
          14. Statement
          15. Solution
          16. Problem 6
          17. Statement
          18. Solution
      39. Lesson 7: Representing More Sequences
          1. Goals
          2. Learning Targets
          3. Lesson Narrative
             1. Alignments
             2. Building On
             3. Addressing
             4. Instructional Routines
             5. Required Materials
             6. Student Learning Goals
      40. 7.1 Which One Doesn’t Belong: Recursive Definitions
          1. Addressing
          2. Instructional Routines
          3. Launch
          4. Anticipated Misconceptions
          5. Student Task Statement
          6. Student Response
          7. Activity Synthesis
      41. 7.2 Info Gap: Ways To Represent A Sequence
          1. Building On
          2. Addressing
          3. Instructional Routines
          4. Launch
          5. Student Task Statement
          6. Student Response
          7. Are You Ready for More?
          8. Student Response
          9. Activity Synthesis
          10. Lesson Synthesis
      42. 7.3 It’s Geometric
          1. Building On
          2. Addressing
          3. Student Task Statement
          4. Student Response
          5. Student Lesson Summary
      43. Lesson 7 Practice Problems
          1. Problem 1
          2. Statement
          3. Solution
          4. Problem 2
          5. Statement
          6. Solution
          7. Problem 3
          8. Statement
          9. Solution
          10. Problem 4
          11. Statement
          12. Solution
          13. Problem 5
          14. Statement
          15. Solution
          16. Problem 6
          17. Statement
          18. Solution
      44. Lesson 8: The n^{\text{th}} Term
          1. Goals
          2. Learning Targets
          3. Lesson Narrative
             1. Alignments
             2. Building On
             3. Addressing
             4. Building Towards
             5. Instructional Routines
             6. Required Materials
             7. Required Preparation
             8. Student Learning Goals
      45. 8.1 Which One Doesn’t Belong: Repeated Operations
          1. Building Towards
          2. Instructional Routines
          3. Launch
          4. Student Task Statement
          5. Student Response
          6. Activity Synthesis
      46. 8.2 More Paper Slicing
          1. Building On
          2. Addressing
          3. Launch
          4. Anticipated Misconceptions
          5. Student Task Statement
          6. Student Response
          7. Activity Synthesis
      47. 8.3 A Sierpinski Triangle
          1. Addressing
          2. Instructional Routines
          3. Launch
          4. Anticipated Misconceptions
          5. Student Task Statement
          6. Student Response
          7. Are You Ready for More?
          8. Student Response
          9. Activity Synthesis
          10. Lesson Synthesis
      48. 8.4 Different Types of Equations
          1. Addressing
          2. Student Task Statement
          3. Student Response
          4. Student Lesson Summary
      49. Lesson 8 Practice Problems
          1. Problem 1
          2. Statement
          3. Solution
          4. Problem 2
          5. Statement
          6. Solution
          7. Problem 3
          8. Statement
          9. Solution
          10. Problem 4
          11. Statement
          12. Solution
          13. Problem 5
          14. Statement
          15. Solution
          16. Problem 6
          17. Statement
          18. Solution
      50. Lesson 9: What’s the Equation?
          1. Goals
          2. Learning Targets
          3. Lesson Narrative
             1. Alignments
             2. Addressing
             3. Building Towards
             4. Instructional Routines
             5. Required Materials
             6. Required Preparation
             7. Student Learning Goals
      51. 9.1 Math Talk: Multiplying Fractions
          1. Building Towards
          2. Instructional Routines
          3. Launch
          4. Student Task Statement
          5. Student Response
          6. Activity Synthesis
      52. 9.2 Take the Cake!
          1. Addressing
          2. Instructional Routines
          3. Launch
          4. Student Task Statement
          5. Student Response
          6. Activity Synthesis
      53. 9.3 Fibonacci Squares
          1. Addressing
          2. Launch
          3. Anticipated Misconceptions
          4. Student Task Statement
          5. Student Response
          6. Are You Ready for More?
          7. Student Response
          8. Activity Synthesis
          9. Lesson Synthesis
      54. 9.4 Ow, My Jaw
          1. Addressing
          2. Student Task Statement
          3. Student Response
          4. Student Lesson Summary
      55. Lesson 9 Practice Problems
          1. Problem 1
          2. Statement
          3. Solution
          4. Problem 2
          5. Statement
          6. Solution
          7. Problem 3
          8. Statement
          9. Solution
          10. Problem 4
          11. Statement
          12. Solution
          13. Problem 5
          14. Statement
          15. Solution
          16. Problem 6
          17. Statement
          18. Solution
          19. Problem 7
          20. Statement
          21. Solution
      56. Lesson 10: Situations and Sequence Types
          1. Goals
          2. Learning Targets
          3. Lesson Narrative
             1. Alignments
             2. Building On
             3. Addressing
             4. Instructional Routines
             5. Student Learning Goals
      57. 10.1 Describing Growth
          1. Building On
          2. Student Task Statement
          3. Student Response
          4. Activity Synthesis
      58. 10.2 Finding Population Patterns
          1. Building On
          2. Addressing
          3. Instructional Routines
          4. Launch
          5. Anticipated Misconceptions
          6. Student Task Statement
          7. Student Response
          8. Activity Synthesis
      59. 10.3 Finding Square Patterns
          1. Addressing
          2. Instructional Routines
          3. Launch
          4. Anticipated Misconceptions
          5. Student Task Statement
          6. Student Response
          7. Are You Ready for More?
          8. Student Response
          9. Activity Synthesis
          10. Lesson Synthesis
      60. 10.4 Two Bacteria Populations
          1. Addressing
          2. Student Task Statement
          3. Student Response
          4. Student Lesson Summary
      61. Lesson 10 Practice Problems
          1. Problem 1
          2. Statement
          3. Solution
          4. Problem 2
          5. Statement
          6. Solution
          7. Problem 3
          8. Statement
          9. Solution
          10. Problem 4
          11. Statement
          12. Solution
          13. Problem 5
          14. Statement
          15. Solution
          16. Problem 6
          17. Statement
          18. Solution
          19. Problem 7
          20. Statement
          21. Solution
      62. Lesson 11: Adding Up
          1. Goals
          2. Learning Targets
          3. Lesson Narrative
             1. Alignments
             2. Building On
             3. Addressing
             4. Building Towards
             5. Instructional Routines
             6. Required Materials
             7. Required Preparation
             8. Student Learning Goals
      63. 11.1 Math Talk: Adding Terms
          1. Building Towards
          2. Instructional Routines
          3. Launch
          4. Student Task Statement
          5. Student Response
          6. Activity Synthesis
      64. 11.2 Paper Trail
          1. Building On
          2. Addressing
          3. Building Towards
          4. Instructional Routines
          5. Launch
          6. Anticipated Misconceptions
          7. Student Task Statement
          8. Student Response
          9. Activity Synthesis
      65. 11.3 A Threefold Design
          1. Addressing
          2. Building Towards
          3. Launch
          4. Anticipated Misconceptions
          5. Student Task Statement
          6. Student Response
          7. Are You Ready for More?
          8. Student Response
          9. Activity Synthesis
          10. Lesson Synthesis
      66. 11.4 Half the Homework
          1. Building Towards
          2. Student Task Statement
          3. Student Response
          4. Student Lesson Summary
      67. Lesson 11 Practice Problems
          1. Problem 1
          2. Statement
          3. Solution
          4. Problem 2
          5. Statement
          6. Solution
          7. Problem 3
          8. Statement
          9. Solution
          10. Problem 4
          11. Statement
          12. Solution
          13. Problem 5
          14. Statement
          15. Solution
          16. Problem 6
          17. Statement
          18. Solution
          19. Problem 7
          20. Statement
          21. Solution
          22. Problem 8
          23. Statement
          24. Solution
   3. Glossary
   4. Attributions
   5. Contributors
   6. Notes
   7. Notes