Contents

1. Unit 1: Adding, Subtracting, and Working with Data
2. Unit 1: Adding, Subtracting, and Working with Data
   1. Unit Learning Goals
3. Section A: Add and Subtract Within 20
   1. Standards Alignments
   2. Section Learning Goals
   3. Suggested Centers
4. Section B: Ways to Represent Data
   1. Standards Alignments
   2. Section Learning Goals
   3. Suggested Centers
5. Section C: Diagrams to Compare
   1. Standards Alignments
   2. Section Learning Goals
   3. Suggested Centers
   4. Throughout the Unit
   5. Materials Needed
   6. Center: Number Puzzles: Addition and Subtraction (1–4)
   7. Standards Alignments
   8. Standards Alignments
      1. Stages used in Grade 1
   9. Center: What’s Behind My Back (K–2)
   10. Standards Alignments
   11. Standards Alignments
       1. Stages used in Grade 1
   12. Center: How Close? (1–5)
   13. Standards Alignments
   14. Standards Alignments
   15. Standards Alignments
       1. Stages used in Grade 1
   16. Center: Sort and Display (1–3)
   17. Standards Alignments
   18. Standards Alignments
       1. Stages used in Grade 1
   19. Center: Shake and Spill (K–2)
   20. Standards Alignments
       1. Stages used in Grade 1
   21. Center: Counting Collections (K–1)
   22. Standards Alignments
       1. Stages used in Grade 1
6. Section A: Add and Subtract Within 20
7. Lesson 1: Add and Subtract Within 10
   1. Standards Alignments
   2. Teacher-facing Learning Goals
   3. Student-facing Learning Goals
   4. Lesson Purpose
   5. Access for:
   6. Students with Disabilities
   7. English Learners
   8. Instructional Routines
   9. Materials to Gather
   10. Materials to Copy
   11. Lesson Timeline
   12. Teacher Reflection Question
   13. Cool-down
       1. Standards Alignments
       2. Student-facing Task Statement
       3. Student Responses
   14. Warm-up
       1. Standards Alignments
       2. Instructional Routines
       3. Student-facing Task Statement
       4. Student Responses
       5. Launch
       6. Activity
       7. Synthesis
   15. Activity 1
       1. Standards Alignments
       2. Materials to Gather
       3. Materials to Copy
       4. Required Preparation
       5. Student-facing Task Statement
       6. Launch
       7. Student Responses
       8. Activity
       9. Synthesis
   16. Activity 2
       1. Standards Alignments
       2. Materials to Gather
       3. Student-facing Task Statement
       4. Launch
       5. Activity
       6. Student Responses
       7. Synthesis
   17. Lesson Synthesis
       1. Suggested Centers
       2. Response to Student Thinking
          1. Next Day Support
          2. Prior Unit Support
8. Lesson 2: Relate Addition and Subtraction within 10
   1. Standards Alignments
   2. Teacher-facing Learning Goals
   3. Student-facing Learning Goals
   4. Lesson Purpose
   5. Access for:
   6. Students with Disabilities
   7. English Learners
   8. Instructional Routines
   9. Materials to Gather
   10. Materials to Copy
   11. Lesson Timeline
   12. Teacher Reflection Question
   13. Cool-down
       1. Standards Alignments
       2. Student-facing Task Statement
       3. Student Responses
   14. Warm-up
       1. Standards Alignments
       2. Instructional Routines
       3. Student-facing Task Statement
       4. Student Responses
       5. Launch
       6. Activity
       7. Synthesis
   15. Activity 1
       1. Standards Alignments
       2. Materials to Gather
       3. Materials to Copy
       4. Required Preparation
       5. Launch
       6. Activity
       7. Synthesis
   16. Activity 2
       1. Standards Alignments
       2. Student-facing Task Statement
       3. Launch
       4. Activity
       5. Student Responses
       6. Synthesis
   17. Lesson Synthesis
       1. Suggested Centers
       2. Response to Student Thinking
          1. Next Day Support
9. Lesson 3: Relate Addition and Subtraction within 20
   1. Standards Alignments
   2. Teacher-facing Learning Goals
   3. Student-facing Learning Goals
   4. Lesson Purpose
   5. Access for:
   6. Students with Disabilities
   7. English Learners
   8. Instructional Routines
   9. Materials to Gather
   10. Materials to Copy
   11. Lesson Timeline
   12. Teacher Reflection Question
   13. Cool-down
       1. Standards Alignments
       2. Student-facing Task Statement
       3. Student Responses
   14. Warm-up
       1. Standards Alignments
       2. Instructional Routines
       3. Student-facing Task Statement
       4. Student Responses
       5. Launch
       6. Activity
       7. Synthesis
   15. Activity 1
       1. Standards Alignments
       2. Materials to Gather
       3. Materials to Copy
       4. Launch
       5. Activity
       6. Synthesis
   16. Activity 2
       1. Standards Alignments
       2. Materials to Gather
       3. Student-facing Task Statement
       4. Launch
       5. Student Responses
       6. Activity
       7. Synthesis
   17. Lesson Synthesis
       1. Suggested Centers
       2. Response to Student Thinking
          1. Next Day Support
          2. Prior Unit Support
10. Lesson 4: Add and Subtract Your Way
    1. Standards Alignments
    2. Teacher-facing Learning Goals
    3. Student-facing Learning Goals
    4. Lesson Purpose
    5. Access for:
    6. Students with Disabilities
    7. English Learners
    8. Instructional Routines
    9. Materials to Gather
    10. Materials to Copy
    11. Lesson Timeline
    12. Teacher Reflection Question
    13. Cool-down
        1. Standards Alignments
        2. Student-facing Task Statement
        3. Student Responses
    14. Warm-up
        1. Standards Alignments
        2. Instructional Routines
        3. Student-facing Task Statement
        4. Student Responses
        5. Launch
        6. Activity
        7. Synthesis
    15. Activity 1
        1. Standards Alignments
        2. Materials to Gather
        3. Materials to Copy
        4. Student-facing Task Statement
        5. Launch
        6. Activity
        7. Synthesis
    16. Activity 2
        1. Standards Alignments
        2. Materials to Gather
        3. Student-facing Task Statement
        4. Student Responses
        5. Launch
        6. Activity
        7. Synthesis
        8. Advancing Student Thinking
    17. Lesson Synthesis
        1. Suggested Centers
        2. Response to Student Thinking
           1. Next Day Support
11. Lesson 5: Add Within 50
    1. Standards Alignments
    2. Teacher-facing Learning Goals
    3. Student-facing Learning Goals
    4. Lesson Purpose
    5. Access for:
    6. Students with Disabilities
    7. English Learners
    8. Instructional Routines
    9. Materials to Gather
    10. Materials to Copy
    11. Lesson Timeline
    12. Teacher Reflection Question
    13. Cool-down
        1. Standards Alignments
        2. Student-facing Task Statement
        3. Student Responses
    14. Warm-up
        1. Instructional Routines
        2. Student-facing Task Statement
        3. Student Responses
        4. Launch
        5. Activity
        6. Synthesis
    15. Activity 1
        1. Standards Alignments
        2. Materials to Gather
        3. Materials to Copy
        4. Student-facing Task Statement
        5. Launch
        6. Activity
        7. Synthesis
    16. Activity 2
        1. Standards Alignments
        2. Materials to Gather
        3. Required Preparation
        4. Student-facing Task Statement
        5. Student Responses
        6. Launch
        7. Activity
        8. Synthesis
    17. Lesson Synthesis
        1. Suggested Centers
        2. Response to Student Thinking
           1. Next Day Support
           2. Prior Unit Support
12. Lesson 6: Center Day 1 (Optional)
    1. Standards Alignments
    2. Teacher-facing Learning Goals
    3. Student-facing Learning Goals
    4. Lesson Purpose
    5. Instructional Routines
    6. Materials to Gather
    7. Materials to Copy
    8. Lesson Timeline
    9. Teacher Reflection Question
    10. Warm-up
        1. Standards Alignments
        2. Instructional Routines
        3. Student-facing Task Statement
        4. Student Responses
        5. Launch
        6. Activity
        7. Synthesis
    11. Activity 1
        1. Standards Alignments
        2. Materials to Copy
        3. Required Preparation
        4. Launch
        5. Activity
        6. Synthesis
    12. Activity 2
        1. Standards Alignments
        2. Materials to Gather
        3. Required Preparation
        4. Student-facing Task Statement
        5. Launch
        6. Activity
        7. Synthesis
    13. Lesson Synthesis
        1. Assessment: Section A Checkpoint
           1. Problem 1
        2. Goals Assessed
           1. Solution
           2. Problem 2
        3. Goals Assessed
           1. Solution
           2. Problem 3
        4. Goals Assessed
           1. Solution
        5. Section A Practice Problems
           1. Problem 1
        6. Standards Alignments
           1. Solution
           2. Problem 2
        7. Standards Alignments
           1. Solution
           2. Problem 3
        8. Standards Alignments
           1. Solution
           2. Problem 4
           3. Solution
           4. Problem 5
           5. Solution
           6. Problem 6
           7. Solution
           8. Problem 7
           9. Solution
           10. Problem 8
           11. Solution
           12. Problem 9
           13. Solution
           14. Problem 10
           15. Solution
13. Section B: Ways to Represent Data
14. Lesson 7: Collect and Represent Data
    1. Standards Alignments
    2. Teacher-facing Learning Goals
    3. Student-facing Learning Goals
    4. Lesson Purpose
    5. Access for:
    6. Students with Disabilities
    7. Instructional Routines
    8. Materials to Gather
    9. Materials to Copy
    10. Lesson Timeline
    11. Teacher Reflection Question
    12. Cool-down
        1. Standards Alignments
        2. Student-facing Task Statement
        3. Student Responses
    13. Warm-up
        1. Standards Alignments
        2. Instructional Routines
        3. Student-facing Task Statement
        4. Student Responses
        5. Launch
        6. Activity
        7. Synthesis
    14. Activity 1
        1. Standards Alignments
        2. Materials to Gather
        3. Materials to Copy
        4. Required Preparation
        5. Student-facing Task Statement
        6. Student Responses
        7. Launch
        8. Activity
        9. Synthesis
    15. Activity 2
        1. Standards Alignments
        2. Instructional Routines
        3. Materials to Gather
        4. Required Preparation
        5. Student-facing Task Statement
        6. Student Responses
        7. Launch
        8. Activity
        9. Synthesis
    16. Lesson Synthesis
        1. Suggested Centers
        2. Response to Student Thinking
           1. Next Day Support
           2. Prior Unit Support
15. Lesson 8: Interpret Picture Graphs
    1. Standards Alignments
    2. Teacher-facing Learning Goals
    3. Student-facing Learning Goals
    4. Lesson Purpose
    5. Access for:
    6. Students with Disabilities
    7. English Learners
    8. Instructional Routines
    9. Lesson Timeline
    10. Teacher Reflection Question
    11. Cool-down
        1. Standards Alignments
        2. Student-facing Task Statement
        3. Student Responses
    12. Warm-up
        1. Standards Alignments
        2. Instructional Routines
        3. Student-facing Task Statement
        4. Launch
        5. Activity
        6. Student Responses
        7. Synthesis
    13. Activity 1
        1. Standards Alignments
        2. Student-facing Task Statement
        3. Launch
        4. Student Responses
        5. Activity
        6. Synthesis
        7. Advancing Student Thinking
    14. Activity 2
        1. Standards Alignments
        2. Student-facing Task Statement
        3. Launch
        4. Activity
        5. Student Responses
        6. Synthesis
        7. Advancing Student Thinking
    15. Lesson Synthesis
        1. Suggested Centers
        2. Response to Student Thinking
           1. Next Day Support
           2. Prior Unit Support
16. Lesson 9: Interpret Bar Graphs
    1. Standards Alignments
    2. Teacher-facing Learning Goals
    3. Student-facing Learning Goals
    4. Lesson Purpose
    5. Access for:
    6. Students with Disabilities
    7. Instructional Routines
    8. Lesson Timeline
    9. Teacher Reflection Question
    10. Cool-down
        1. Standards Alignments
        2. Student-facing Task Statement
        3. Student Responses
    11. Warm-up
        1. Standards Alignments
        2. Instructional Routines
        3. Student-facing Task Statement
        4. Launch
        5. Activity
        6. Synthesis
        7. Student Responses
    12. Activity 1
        1. Standards Alignments
        2. Student-facing Task Statement
        3. Launch
        4. Activity
        5. Synthesis
        6. Student Responses
    13. Activity 2
        1. Standards Alignments
        2. Instructional Routines
        3. Student-facing Task Statement
        4. Student Responses
        5. Launch
        6. Activity
        7. Synthesis
    14. Lesson Synthesis
        1. Suggested Centers
        2. Response to Student Thinking
           1. Next Day Support
17. Lesson 10: Represent Data Using Picture Graphs and Bar Graphs
    1. Standards Alignments
    2. Teacher-facing Learning Goals
    3. Student-facing Learning Goals
    4. Lesson Purpose
    5. Access for:
    6. Students with Disabilities
    7. Instructional Routines
    8. Materials to Gather
    9. Materials to Copy
    10. Lesson Timeline
    11. Teacher Reflection Question
    12. Cool-down
        1. Standards Alignments
        2. Student-facing Task Statement
        3. Student Responses
    13. Warm-up
        1. Standards Alignments
        2. Instructional Routines
        3. Student-facing Task Statement
        4. Student Responses
        5. Launch
        6. Activity
        7. Synthesis
    14. Activity 1
        1. Standards Alignments
        2. Instructional Routines
        3. Materials to Copy
        4. Required Preparation
        5. Student-facing Task Statement
        6. Launch
        7. Student Responses
        8. Activity
        9. Synthesis
    15. Activity 2
        1. Standards Alignments
        2. Materials to Gather
        3. Materials to Copy
        4. Student-facing Task Statement
        5. Launch
        6. Student Responses
        7. Activity
        8. Synthesis
    16. Lesson Synthesis
        1. Suggested Centers
        2. Response to Student Thinking
           1. Next Day Support
18. Lesson 11: Questions About Data
    1. Standards Alignments
    2. Teacher-facing Learning Goals
    3. Student-facing Learning Goals
    4. Lesson Purpose
    5. Access for:
    6. Students with Disabilities
    7. English Learners
    8. Instructional Routines
    9. Materials to Gather
    10. Lesson Timeline
    11. Teacher Reflection Question
    12. Cool-down
        1. Standards Alignments
        2. Student-facing Task Statement
        3. Student Responses
    13. Warm-up
        1. Standards Alignments
        2. Instructional Routines
        3. Student-facing Task Statement
        4. Student Responses
        5. Launch
        6. Activity
        7. Synthesis
    14. Activity 1
        1. Standards Alignments
        2. Materials to Gather
        3. Required Preparation
        4. Student-facing Task Statement
        5. Student Responses
        6. Launch
        7. Activity
        8. Synthesis
        9. Advancing Student Thinking
    15. Activity 2
        1. Standards Alignments
        2. Materials to Gather
        3. Required Preparation
        4. Student-facing Task Statement
        5. Launch
        6. Activity
        7. Student Responses
        8. Synthesis
    16. Lesson Synthesis
        1. Suggested Centers
        2. Student Section Summary
        3. Response to Student Thinking
           1. Next Day Support
19. Lesson 12: Center Day 2 (Optional)
    1. Standards Alignments
    2. Teacher-facing Learning Goals
    3. Student-facing Learning Goals
    4. Lesson Purpose
    5. Instructional Routines
    6. Materials to Gather
    7. Materials to Copy
    8. Lesson Timeline
    9. Teacher Reflection Question
    10. Warm-up
        1. Standards Alignments
        2. Instructional Routines
        3. Student-facing Task Statement
        4. Student Responses
        5. Launch
        6. Activity
        7. Synthesis
    11. Activity 1
        1. Standards Alignments
        2. Materials to Gather
        3. Materials to Copy
        4. Required Preparation
        5. Launch
        6. Activity
        7. Synthesis
    12. Activity 2
        1. Standards Alignments
        2. Required Preparation
        3. Student-facing Task Statement
        4. Launch
        5. Activity
        6. Synthesis
    13. Lesson Synthesis
        1. Assessment: Section B Checkpoint
           1. Problem 1
        2. Goals Assessed
           1. Solution
           2. Problem 2
        3. Goals Assessed
           1. Solution
        4. Section B Practice Problems
           1. Problem 1
           2. Solution
           3. Problem 2
           4. Solution
           5. Problem 3
           6. Solution
           7. Problem 4
           8. Solution
           9. Problem 5
           10. Solution
           11. Problem 6
           12. Solution
           13. Problem 7
           14. Solution
           15. Problem 8
           16. Solution
           17. Problem 9
           18. Solution
20. Section C: Diagrams to Compare
21. Lesson 13: Use Bar Graphs to Compare
    1. Standards Alignments
    2. Teacher-facing Learning Goals
    3. Student-facing Learning Goals
    4. Lesson Purpose
    5. Access for:
    6. Students with Disabilities
    7. English Learners
    8. Instructional Routines
    9. Lesson Timeline
    10. Teacher Reflection Question
    11. Cool-down
        1. Standards Alignments
        2. Student-facing Task Statement
        3. Student Responses
    12. Warm-up
        1. Standards Alignments
        2. Instructional Routines
        3. Student-facing Task Statement
        4. Launch
        5. Student Responses
        6. Activity
        7. Synthesis
    13. Activity 1
        1. Standards Alignments
        2. Student-facing Task Statement
        3. Student Responses
        4. Launch
        5. Activity
        6. Synthesis
    14. Activity 2
        1. Standards Alignments
        2. Student-facing Task Statement
        3. Student Responses
        4. Launch
        5. Activity
        6. Synthesis
        7. Advancing Student Thinking
    15. Lesson Synthesis
        1. Suggested Centers
        2. Response to Student Thinking
           1. Next Day Support
22. Lesson 14: Use Diagrams to Compare
    1. Standards Alignments
    2. Teacher-facing Learning Goals
    3. Student-facing Learning Goals
    4. Lesson Purpose
    5. Access for:
    6. Students with Disabilities
    7. English Learners
    8. Instructional Routines
    9. Materials to Gather
    10. Materials to Copy
    11. Lesson Timeline
    12. Teacher Reflection Question
    13. Cool-down
        1. Standards Alignments
        2. Student-facing Task Statement
        3. Student Responses
    14. Warm-up
        1. Standards Alignments
        2. Instructional Routines
        3. Student-facing Task Statement
        4. Student Responses
        5. Launch
        6. Activity
        7. Synthesis
    15. Activity 1
        1. Standards Alignments
        2. Materials to Gather
        3. Materials to Copy
        4. Student-facing Task Statement
        5. Launch
        6. Student Responses
        7. Activity
        8. Synthesis
        9. Advancing Student Thinking
    16. Activity 2
        1. Standards Alignments
        2. Student-facing Task Statement
        3. Launch
        4. Activity
        5. Synthesis
        6. Student Responses
        7. Advancing Student Thinking
    17. Lesson Synthesis
        1. Suggested Centers
        2. Response to Student Thinking
           1. Next Day Support
23. Lesson 15: Diagrams with All Kinds of Compare Problems
    1. Standards Alignments
    2. Teacher-facing Learning Goals
    3. Student-facing Learning Goals
    4. Lesson Purpose
    5. Access for:
    6. Students with Disabilities
    7. English Learners
    8. Instructional Routines
    9. Materials to Copy
    10. Lesson Timeline
    11. Teacher Reflection Question
    12. Cool-down
        1. Standards Alignments
        2. Student-facing Task Statement
        3. Student Responses
    13. Warm-up
        1. Standards Alignments
        2. Instructional Routines
        3. Student-facing Task Statement
        4. Student Responses
        5. Launch
        6. Activity
        7. Synthesis
    14. Activity 1
        1. Standards Alignments
        2. Student-facing Task Statement
        3. Launch
        4. Student Responses
        5. Activity
        6. Synthesis
    15. Activity 2
        1. Standards Alignments
        2. Instructional Routines
        3. Materials to Copy
        4. Required Preparation
        5. Student-facing Task Statement
        6. Student Responses
        7. Launch
        8. Activity
        9. Synthesis
        10. Advancing Student Thinking
    16. Lesson Synthesis
        1. Suggested Centers
        2. Response to Student Thinking
           1. Next Day Support
24. Lesson 16: Solve All Kinds of Compare Problems
    1. Standards Alignments
    2. Teacher-facing Learning Goals
    3. Student-facing Learning Goals
    4. Lesson Purpose
    5. Access for:
    6. Students with Disabilities
    7. English Learners
    8. Instructional Routines
    9. Lesson Timeline
    10. Teacher Reflection Question
    11. Cool-down
        1. Standards Alignments
        2. Student-facing Task Statement
        3. Student Responses
    12. Warm-up
        1. Standards Alignments
        2. Instructional Routines
        3. Student-facing Task Statement
        4. Student Responses
        5. Launch
        6. Activity
        7. Synthesis
    13. Activity 1
        1. Standards Alignments
        2. Student-facing Task Statement
        3. Launch
        4. Student Responses
        5. Activity
        6. Synthesis
        7. Advancing Student Thinking
    14. Activity 2
        1. Standards Alignments
        2. Instructional Routines
        3. Student-facing Task Statement
        4. Student Responses
        5. Launch
        6. Activity
        7. Synthesis
    15. Lesson Synthesis
        1. Suggested Centers
        2. Student Section Summary
        3. Response to Student Thinking
           1. Next Day Support
25. Lesson 17: Center Day 3 (Optional)
    1. Standards Alignments
    2. Teacher-facing Learning Goals
    3. Student-facing Learning Goals
    4. Lesson Purpose
    5. Instructional Routines
    6. Materials to Gather
    7. Materials to Copy
    8. Lesson Timeline
    9. Teacher Reflection Question
    10. Warm-up
        1. Standards Alignments
        2. Instructional Routines
        3. Student-facing Task Statement
        4. Student Responses
        5. Launch
        6. Activity
        7. Synthesis
    11. Activity 1
        1. Standards Alignments
        2. Materials to Gather
        3. Materials to Copy
        4. Required Preparation
        5. Launch
        6. Activity
        7. Synthesis
    12. Activity 2
        1. Standards Alignments
        2. Materials to Gather
        3. Required Preparation
        4. Student-facing Task Statement
        5. Launch
        6. Activity
        7. Synthesis
    13. Lesson Synthesis
26. Lesson 18: Class Surveys (Optional)
    1. Standards Alignments
    2. Teacher-facing Learning Goals
    3. Student-facing Learning Goals
    4. Lesson Purpose
    5. Access for:
    6. Students with Disabilities
    7. Instructional Routines
    8. Materials to Gather
    9. Materials to Copy
    10. Lesson Timeline
    11. Teacher Reflection Question
    12. Warm-up
        1. Standards Alignments
        2. Instructional Routines
        3. Student-facing Task Statement
        4. Student Responses
        5. Launch
        6. Activity
        7. Synthesis
    13. Activity 1
        1. Standards Alignments
        2. Materials to Gather
        3. Materials to Copy
        4. Student-facing Task Statement
        5. Student Responses
        6. Launch
        7. Activity
        8. Synthesis
    14. Activity 2
        1. Standards Alignments
        2. Student-facing Task Statement
        3. Launch
        4. Activity
        5. Student Responses
        6. Synthesis
        7. Advancing Student Thinking
    15. Activity 3
        1. Standards Alignments
        2. Student-facing Task Statement
        3. Student Responses
        4. Launch
        5. Activity
        6. Synthesis
    16. Lesson Synthesis
        1. Assessment: Section C Checkpoint
        2. Teacher Instructions
           1. Problem 1
        3. Goals Assessed
           1. Solution
           2. Problem 2
        4. Goals Assessed
           1. Solution
        5. Section C Practice Problems
           1. Problem 1
           2. Solution
           3. Problem 2
           4. Solution
           5. Problem 3
           6. Solution
           7. Problem 4
           8. Solution
           9. Problem 5
           10. Solution
           11. Problem 6
           12. Solution
           13. Problem 7
           14. Solution
        6. Assessment: End-of-Unit Assessment
        7. Teacher Instructions
           1. Problem 1
        8. Standards Alignments
        9. Narrative
           1. Solution
           2. Problem 2
        10. Standards Alignments
        11. Narrative
            1. Solution
            2. Problem 3
        12. Standards Alignments
        13. Narrative
            1. Solution
            2. Problem 4
        14. Standards Alignments
        15. Narrative
            1. Solution
            2. Problem 5
        16. Standards Alignments
        17. Narrative
            1. Solution
            2. Problem 6
        18. Standards Alignments
        19. Narrative
            1. Solution
27. Glossary
28. Contributors
29. Attributions