Eureka Math Grade 2 Fluency Modules 6
& 7
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Practice
Eureka Math® Grade 2 Fluency Modules 6&7
VIRGINIA EDITION
Great Minds © is the creator of Eureka Math® , Wit & Wisdom® , Alexandria Plan™, and PhD Science®
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Printed in the USA
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ISBN 978-1-64497-872-6
Learn ♦ Practice ♦ Succeed
Eureka Math® student materials for A Story of Units® (K–5) are available in the Learn, Practice, Succeed trio. This series supports differentiation and remediation while keeping student materials organized and accessible. Educators will find that the Learn, Practice, and Succeed series also offers coherent—and therefore, more effective—resources for Response to Intervention (RTI), extra practice, and summer learning.
Learn
Eureka Math Learn serves as a student’s in-class companion where they show their thinking, share what they know, and watch their knowledge build every day. Learn assembles the daily classwork—Application Problems, Exit Tickets, Problem Sets, templates—in an easily stored and navigated volume.
Practice
Each Eureka Math lesson begins with a series of energetic, joyous fluency activities, including those found in Eureka Math Practice. Students who are fluent in their math facts can master more material more deeply. With Practice, students build competence in newly acquired skills and reinforce previous learning in preparation for the next lesson.
Together, Learn and Practice provide all the print materials students will use for their core math instruction.
Succeed
Eureka Math Succeed enables students to work individually toward mastery. These additional problem sets align lesson by lesson with classroom instruction, making them ideal for use as homework or extra practice. Each problem set is accompanied by a Homework Helper, a set of worked examples that illustrate how to solve similar problems.
Teachers and tutors can use Succeed books from prior grade levels as curriculum-consistent tools for filling gaps in foundational knowledge. Students will thrive and progress more quickly as familiar models facilitate connections to their current grade-level content.
Students, families, and educators:
Thank you for being part of the Eureka Math® community, where we celebrate the joy, wonder, and thrill of mathematics. One of the most obvious ways we display our excitement is through the fluency activities provided in Eureka Math Practice
What is fluency in mathematics?
You may think of fluency as associated with the language arts, where it refers to speaking and writing with ease. In prekindergarten through grade 5, the Eureka Math curriculum contains multiple daily opportunities to build fluency in mathematics. Each is designed with the same notion—growing every student’s ability to use mathematics with ease. Fluency experiences are generally fast-paced and energetic, celebrating improvement and focusing on recognizing patterns and connections within the material. They are not intended to be graded.
Eureka Math fluency activities provide differentiated practice through a variety of formats—some are conducted orally, some use manipulatives, others use a personal whiteboard, and still others use a handout and paper-and-pencil format. Eureka Math Practice provides each student with the printed fluency exercises for his or her grade level.
What is a Sprint?
Many printed fluency activities utilize the format we call a Sprint. These exercises build speed and accuracy with already acquired skills. Used when students are nearing optimum proficiency, Sprints leverage tempo to build a low-stakes adrenaline boost that increases memory and recall. Their intentional design makes Sprints inherently differentiated; the problems build from simple to complex, with the first quadrant of problems being the simplest and each subsequent quadrant adding complexity. Further, intentional patterns within the sequence of problems engage students’ higher order thinking skills.
The suggested format for delivering a Sprint calls for students to do two consecutive Sprints (labeled A and B) on the same skill, each timed at one minute. Students pause between Sprints to articulate the patterns they noticed as they worked the first Sprint. Noticing the patterns often provides a natural boost to their performance on the second Sprint.
Sprints can be conducted with an untimed protocol as well. The untimed protocol is highly recommended when students are still building confidence with the level of complexity of the first quadrant of problems. Once all students are prepared for success on the Sprint, the work of improving speed and accuracy with the energy of a timed protocol is often welcome and invigorating.
Where can I find other fluency activities?
The Eureka Math Teacher Edition guides educators in the delivery of all fluency activities for each lesson, including those that do not require print materials. Additionally, the Eureka Digital Suite provides access to the fluency activities for all grade levels, searchable by standard or lesson.
Best wishes for a year filled with aha moments!
Jill Diniz Director of Mathematics Great Minds
Grade 2 Module 6
1. 10 + 3 =
2. 10 + 6 =
3. 10 + 4 =
4. 5 + 10 =
7 + 9 =
4 + 8 =
5 + 9 =
8 + 6 = 5. 8 + 10 =
7 + 5 = 6. 10 + 9 =
5 + 8 = 7. 12 + 2 =
8 + 3 = 8. 13 + 4 =
9 + 8 = 9. 16 + 3 =
6 + 5 = 10. 2 + 17 =
7 + 6 = 11. 5 + 14 =
12. 7 + 12 =
13. 16 + 3 =
14. 11 + 5 =
4 + 6 =
8 + 7 =
7 + 7 =
8 + 6 = 15. 9 + 2 =
6 + 9 = 16. 5 + 9 =
8 + 5 = 17. 7 + 9 =
+ 6 = 20. 8 + 8 =
4 + 9 =
Use manipulatives to create equal groups.
1. 10 + 4 =
2. 10 + 9 =
3. 5 + 10 =
4. 2 + 10 =
4 + 8 =
7 + 6 =
+ 4 = 11
+ 8 = 13 5. 11 + 4 =
6 + = 14 6. 12 + 5 =
8 + = 15 7. 16 + 2 =
= 9 + 8 8. 13 + = 18
= 4 + 7 9. 11 + = 20
= 7 + 8 10. 14 + 3 =
3 + 9 = 11. = 3 + 16
6 + 7 = 12. = 7 + 12
8 + = 13 13. = 15 + 4
= 7 + 9 14. 9 + 2 =
6 + 5 =
15. 6 + 9 =
= 5 + 7 16. + 4 = 11
= 8 + 4 17. + 6 = 13
15 = 8 + 18. + 5 = 12
14 = + 7 20. 6 + 6 =
19 = 8 +
Use manipulatives to create equal groups.
1. 12 – 2 =
16 – 9 = 2. 18 – 8 =
14 – 6 = 3. 19 – 10 =
16 – 8 = 4. 14 – 10 =
15 – 6 = 5. 16 – 6 =
17 – 8 = 6. 11 – 10 =
– 12 =
– 13 =
12 – 3 =
12 – 5 =
11 – 2 = 12. 11 – 2 =
13 – 6 = 13. 14 – 2 =
16 – 7 = 14. 13 – 4 =
12 – 8 = 15. 11 – 3 =
Use manipulatives to create equal groups.
1. 19 – 9 =
2. 12 – 10 =
3. 18 – 11 =
4. 15 – 10 =
16 – 7 =
17 – 8 =
16 – 7 =
14 – 8 = 5. 17 – 12 =
17 – 9 = 6. 16 – 13 =
12 – 9 = 7. 12 – 2 =
16 – 8 = 8. 20 – 10 =
14 – 11 =
13 – 3 =
= 11 – 3
15 – 7 =
– 8 =
14 – 7 =
13 – 9 = 12. = 14 – 4
15 – 9 = 13. = 13 – 4
= 11 – 4
– 5 =
14 – 6 =
Use manipulatives to create equal groups.
1. 13 + 3 =
2. 12 + 8 =
11 – 8 =
13 – 7 = 3. 16 + 2 =
4. 11 + 7 =
15 – 8 =
12 + 6 = 5. 6 + 9 =
13 + 2 = 6. 7 + 8 =
9 + 11 = 7. 4 + 7 =
6 + 8 = 8. 13 – 5 =
8 + 9 = 9. 16 – 6 =
7 + 5 = 10. 17 – 9 =
13 – 7 = 11. 14 – 6 =
15 – 8 = 12. 18 – 7 =
11 – 9 = 13. 8 + 8 =
12 – 3 = 14. 7 + 6 =
14 – 5 = 15. 4 + 9 =
13 + 6 = 16. 5 + 7 =
8 + 5 = 17. 6 + 5 =
4 + 7 = 18. 13 – 8 =
+ 8 = 19. 16 – 9 =
4 + 9 = 20. 14 – 8 =
20 – 12 =
Use manipulatives to create equal groups.
ASubtraction Within 20
Number Correct:
1. 11 – 10 = 23. 19 – 9 = 2. 12 – 10 = 24. 15 – 6 = 3. 13 – 10 =
15 – 7 = 4. 19 – 10 =
11 – 1 =
13 – 3 =
– 7 =
11 – 2 =
11 – 3 =
11 – 4 =
11 – 8 =
15 – 9 =
14 – 7 =
14 – 9 =
15 – 5 =
17 – 8 =
17 – 9 =
11 – 9 =
12 – 5 =
15 – 8 = 22. 12 – 9 =
13 – 7 =
Use math drawings to represent equal groups, and relate to repeated addition.
Subtraction Within 20
Number Correct: Improvement:
1. 11 – 1 = 23. 16 – 6 = 2. 12 – 2 = 24. 14 – 5 = 3. 13 – 3 =
14 – 6 = 4. 18 – 8 =
11 – 10 =
12 – 10 =
13 – 10 =
18 – 10 =
11 – 2 =
14 – 7 =
14 – 9 =
15 – 6 =
15 – 7 =
15 – 9 = 10. 11 – 3 =
11 – 4 =
14 – 4 =
16 – 7 = 12. 11 – 7 =
19 – 9 =
16 – 8 =
13 – 4 =
13 – 5 =
13 – 6 =
13 – 9 =
13 – 7 =
11 – 8 =
15 – 8 =
Use math drawings to represent equal groups, and relate to repeated addition.
AAdding Crossing Ten
1. 9 + 1 =
Number Correct:
7 + 3 = 2. 9 + 2 =
3. 9 + 3 =
7 + 4 =
7 + 5 = 4. 9 + 9 =
9 + 4 =
9 + 5 =
9 + 8 =
Represent equal groups with tape diagrams, and relate to repeated addition.
Adding Crossing Ten
1. 8 + 2 =
Number Correct: Improvement:
7 + 3 = 2. 8 + 3 =
3. 8 + 4 =
Represent equal groups with tape diagrams, and relate to repeated addition.
ASums to the Teens
1. 9 + 2 =
Number Correct:
4 + 7 = 2. 9 + 3 =
3. 9 + 4 =
Represent arrays and distinguish rows and columns using math drawings.
Sums to the Teens
1. 10 + 1 =
Number Correct: Improvement:
5 + 6 = 2. 10 + 2 =
3. 10 + 3 =
5 + 7 =
4 + 7 = 4. 10 + 9 =
9 + 8 =
8 + 9 =
8 + 3 =
8 + 4 =
Represent arrays and distinguish rows and columns using math drawings.
Number Correct:
Subtraction from Teens
1. 11 – 10 = 23. 19 – 9 = 2. 12 – 10 = 24. 15 – 6 = 3. 13 – 10 = 25. 15 – 7 =
4. 19 – 10 = 26. 15 – 9 = 5. 11 – 1 =
20 – 10 = 6. 12 – 2 =
14 – 5 =
13 – 3 =
14 – 6 = 8. 17 – 7 =
14 – 7 = 9. 11 – 2 =
14 – 9 = 10. 11 – 3 = 32. 15 – 5 = 11. 11 – 4 = 33. 17 – 8 = 12. 11 – 8 = 34. 17 – 9 = 13. 18 – 8 = 35. 18 – 8 = 14. 13 – 4 =
13 – 5 =
13 – 6 =
13 – 8 =
16 – 6 =
16 – 7 =
17 –
=
12 – 8 = 19. 12 – 3 =
18 – 9 = 20. 12 – 4 = 42. 11 – 9 = 21. 12 – 5 = 43. 15 – 8 = 22. 12 – 9 = 44. 13 – 7 =
Create arrays using square tiles with gaps.
BSubtraction from Teens
Number Correct: Improvement:
1. 11 – 1 = 23. 16 – 6 = 2. 12 – 2 = 24. 14 – 5 =
3. 13 – 3 = 25. 14 – 6 =
4. 18 – 8 =
14 – 7 = 5. 11 – 10 =
14 – 9 = 6. 12 – 10 =
20 – 10 =
13 – 10 =
15 – 6 = 8. 18 – 10 =
15 – 7 = 9. 11 – 2 =
15 – 9 = 10. 11 – 3 =
14 – 4 = 11. 11 – 4 =
16 – 7 = 12. 11 – 7 = 34. 16 – 8 = 13. 19 – 9 = 35. 16 – 9 = 14. 12 – 3 =
– 7 =
– 9 = 19. 13 – 4 =
12 – 9 = 20. 13 – 5 =
13 – 7 = 21. 13 – 6 = 43. 11 – 8 = 22. 13 – 9 = 44. 15 – 8 =
Create arrays using square tiles with gaps.
Sums to the Teens
1. 9 + 1 =
2. 9 + 2 =
3. 9 + 3 =
Number Correct:
7 + 3 =
7 + 4 =
7 + 5 = 4. 9 + 9 =
8 + 9 =
9 + 1 =
9 + 4 =
9 + 5 =
9 + 8 =
5 + 7 =
Use square tiles to compose a rectangle, and relate to the array model.
BSums to the Teens
1. 8 + 2 =
Number Correct: Improvement:
Use square tiles to compose a rectangle, and relate to the array model.
ASubtraction Crossing Ten
1. 10 – 5 =
–
Number Correct:
Use square tiles to compose a rectangle, and relate to the array model.
Subtraction Crossing Ten
1. 10 – 1 =
Number Correct: Improvement:
13 – 5 = 2. 20 – 1 =
Use square tiles to compose a rectangle, and relate to the array model.
1. 10 + 2 =
2. 10 + 7 =
3. 10 + 5 =
4. 4 + 10 =
5. 6 + 11 =
6. 12 + 2 =
Lesson 12 Core Fluency Practice
7 + 9 =
5 + 8 =
3 + 9 =
8 + 6 =
7 + 4 =
9 + 5 = 7. 14 + 3 =
6 + 6 = 8. 13 + 5 =
8 + 3 = 9. 17 + 2 =
7 + 6 = 10. 12 + 6 =
6 + 9 = 11. 11 + 9 =
8 + 7 = 12. 2 + 16 =
13. 15 + 4 =
9 + 9 =
5 + 7 = 14. 5 + 9 = 34. 8 + 4 = 15. 9 + 2 =
6 + 5 = 16. 4 + 9 =
9 + 7 = 17. 9 + 6 =
6 + 8 = 18. 8 + 9 =
+ 9 = 19. 7 + 8 =
20. 8 + 8 =
9 + 8 =
7 + 7 =
math drawings to compose a rectangle with square tiles.
1. 10 + 6 =
2. 10 + 9 =
3. 7 + 10 =
Lesson
3 + 8 =
9 + 4 =
+ 6 = 11
4. 3 + 10 = 24. + 9 = 13
5. 5 + 11 = 25. 8 + = 14
6. 12 + 8 =
7. 14 + 3 =
8. 13 + = 19
9. 15 + = 18
10. 12 + 5 =
11. = 2 + 17
7 + = 15
= 4 + 8
= 8 + 9
= 6 + 4
3 + 9 =
5 + 7 =
12. = 3 + 13 32. 8 + =14
13. = 16 + 2 33. = 5 + 9 14. 9 + 3 = 34. 8 + 8 =
15. 6 + 9 =
16. + 5 = 14
17. + 7 = 13
= 7 + 9
= 8 + 4
17 = 8 + 18. + 8 = 12
19 = + 9 19. 8 + 7 =
20. 7 + 6 =
12 = + 7
15 = 8 +
math drawings to compose a rectangle with square tiles.
1. 13 – 3 = 21. 16 – 8 =
2. 19 – 9 = 22. 14 – 5 =
3. 15 – 10 = 23. 16 – 7 =
4. 18 – 10 = 24. 15 – 7 =
5. 12 – 2 = 25. 17 – 8 =
6. 11 – 10 = 26. 18 – 9 =
7. 17 – 13 =
15 – 6 = 8. 20 – 10 =
13 – 8 = 9. 14 – 11 =
14 – 6 = 10. 16 – 12 = 30. 12 – 5 = 11. 11 – 3 = 31. 11 – 7 = 12. 13 – 2 = 32. 13 – 8 = 13. 14 – 2 = 33. 16 – 9 = 14. 13 – 4 = 34. 12 – 8 = 15. 12 – 3 = 35. 16 – 12 = 16. 11 – 4 =
18 – 15 = 17. 12 – 5 =
15 – 14 = 18. 14 – 5 =
17 – 11 = 19. 11 – 2 =
19 – 13 = 20. 12 – 4 =
20 – 12 =
math drawings to compose a rectangle with square tiles.
1. 17 – 7 =
2. 14 – 10 =
Lesson
16 – 7 =
17 – 8 =
3. 19 – 11 = 23. 18 – 7 =
4. 16 – 10 = 24. 14 – 6 =
5. 17 – 12 = 25. 17 – 8 =
6. 15 – 13 =
7. 12 – 3 =
12 – 8 =
14 – 7 = 8. 20 – 11 =
15 – 8 = 9. 18 – 11 =
13 – 5 = 10. 13 – 5 =
16 – 8 = 11. = 11 – 2
14 – 9 = 12. = 12 – 4
13. = 13 – 5
15 – 6 =
13 – 6 = 14. = 12 – 3
= 13 – 8 15. = 11 – 4
= 15 – 7 16. = 13 – 2
= 18 – 9 17. = 11 – 3
= 20 – 14 18. 17 – 8 =
=
– 7 19. 14 – 6 =
= 20 – 11 20. 16 – 9 =
= 20 – 8
math drawings to compose a rectangle with square tiles.
1. 11 + 9 =
2. 13 + 5 =
3. 14 + 3 =
13 – 7 =
11 – 8 =
15 – 6 =
4. 12 + 7 = 24. 12 + 7 =
5. 5 + 9 =
6. 8 + 8 =
14 + 3 =
8 + 12 = 7. 14 – 7 =
5 + 7 = 8. 13 – 5 =
8 + 9 = 9. 16 – 7 =
7 + 5 = 10. 17 – 9 =
13 – 6 = 11. 14 – 6 =
14 – 8 = 12. 18 – 5 =
12 – 9 = 13. 9 + 9 = 33. 11 – 3 = 14. 7 + 6 = 34. 14 – 5 = 15. 3 + 9 =
13 – 8 = 16. 6 + 7 =
– 9 =
4 + 9 = 20. 14 – 8 =
20 – 8 =
ASubtraction from Teens
Number Correct:
1. 11 – 10 = 23. 19 – 9 = 2. 12 – 10 = 24. 15 – 6 = 3. 13 – 10 = 25. 15 – 7 = 4. 19 – 10 =
15 – 9 = 5. 11 – 1 =
20 – 10 =
12 – 2 =
14 – 5 = 7. 13 – 3 =
14 – 6 = 8. 17 – 7 = 30. 14 – 7 = 9. 11 – 2 = 31. 14 – 9 = 10. 11 – 3 = 32. 15 – 5 = 11. 11 – 4 = 33. 17 – 8 = 12. 11 – 8 = 34. 17 – 9 = 13. 18 – 8 =
13 – 4 =
13 – 8 =
16 – 6 =
=
12 – 8 = 19. 12 – 3 =
18 – 9 = 20. 12 – 4 = 42. 11 – 9 = 21. 12 – 5 = 43. 15 – 8 = 22. 12 – 9 = 44. 13 – 7 =
Use scissors to partition a rectangle into same-size squares, and compose arrays with the squares.
Subtraction from Teens
Number Correct: Improvement:
1. 11 – 1 = 23. 16 – 6 = 2. 12 – 2 = 24. 14 – 5 = 3. 13 – 3 =
14 – 6 = 4. 18 – 8 =
14 – 7 = 5. 11 – 10 =
12 – 10 =
14 – 9 =
20 – 10 = 7. 13 – 10 =
15 – 6 = 8. 18 – 10 =
15 – 7 = 9. 11 – 2 =
15 – 9 = 10. 11 – 3 = 32. 14 – 4 = 11. 11 – 4 = 33. 16 – 7 = 12. 11 – 7 = 34. 16 – 8 = 13. 19 – 9 =
– 3 =
– 8 =
16 –
= 18. 17 – 7 =
18 – 9 = 19. 13 – 4 =
12 – 9 = 20. 13 – 5 = 42. 13 – 7 = 21. 13 – 6 = 43. 11 – 8 = 22. 13 – 9 = 44. 15 – 8 =
Use scissors to partition a rectangle into same-size squares, and compose arrays with the squares.
Number Correct:
Subtract Crossing the Ten
1. 10 – 1 =
21 – 6 = 2. 10 – 2 =
21 – 3 =
Use math drawings to partition a rectangle with square tiles, and relate to repeated addition.
Subtract Crossing the Ten
Number Correct: Improvement:
Use math drawings to partition a rectangle with square tiles, and relate to repeated addition.
Number Correct:
Subtraction from Teens
1. 10 – 3 =
Pair objects and skip-count to relate to even numbers.
BSubtraction from Teens
1. 10 – 2 =
Number Correct: Improvement:
11 – 7 = 2. 11 – 2 =
12 – 7 = 3. 10 – 4 =
Pair objects and skip-count to relate to even numbers.
ASums to the Teens
1. 9 + 2 =
2. 9 + 3 =
10 + 8 =
Number Correct:
Investigate the pattern of even numbers: 0, 2, 4, 6, and 8 in the ones place, and relate to odd numbers.
Sums to the Teens
1. 10 + 1 =
9 + 4 =
9 + 8 =
Number Correct: Improvement:
Investigate the pattern of even numbers: 0, 2, 4, 6, and 8 in the ones place, and relate to odd numbers.
Grade 2 Module 7
1. 10 + 2 =
2. 10 + 7 =
3. 10 + 5 =
4. 4 + 10 =
5. 6 + 11 =
6. 12 + 2 =
7. 14 + 3 =
7 + 9 =
5 + 8 =
3 + 9 =
8 + 6 =
7 + 4 =
9 + 5 =
6 + 6 = 8. 13 + 5 =
8 + 3 = 9. 17 + 2 =
12 + 6 =
7 + 6 =
6 + 9 = 11. 11 + 9 =
12. 2 + 16 =
13. 15 + 4 =
14. 5 + 9 =
15. 9 + 2 =
8 + 7 =
9 + 9 =
5 + 7 =
8 + 4 =
6 + 5 = 16. 4 + 9 =
9 + 7 = 17. 9 + 6 =
+ 8 = 20. 8 + 8 =
Sort and record data into a table using up to four categories; use category counts to solve word problems.
1. 10 + 6 =
2. 10 + 9 =
3. 7 + 10 =
3 + 8 =
9 + 4 =
+ 6 = 11
4. 3 + 10 = 24. + 9 = 13
5. 5 + 11 = 25. 8 + = 14
6. 12 + 8 =
7. 14 + 3 =
8. 13 + = 19
9. 15 + = 18
7 + = 15
= 4 + 8
= 8 + 9
= 6 + 4 10. 12 + 5 =
3 + 9 = 11. = 2 + 17
12. = 3 + 13
5 + 7 =
8 + = 14
13. = 16 + 2 33. = 5 + 9
14. 9 + 3 = 34. 8 + 8 =
15. 6 + 9 =
16. + 5 = 14
= 7 + 9
= 8 + 4 17. + 7 = 13
17 = 8 + 18. + 8 = 12
19 = + 9 19 8 + 7 =
20. 7 + 6 =
12 = + 7
15 = 8 +
Sort and record data into a table using up to four categories; use category counts to solve word problems.
1. 13 – 3 = 21. 16 – 8 =
2. 19 – 9 = 22. 14 – 5 =
3. 15 – 10 = 23. 16 – 7 =
4. 18 – 10 = 24. 15 – 7 =
5. 12 – 2 = 25. 17 – 8 =
6. 11 – 10 = 26. 18 – 9 =
7. 17 – 13 = 27. 15 – 6 =
8. 20 – 10 = 28. 13 – 8 =
9. 14 – 11 = 29. 14 – 6 = 10. 16 – 12 = 30. 12 – 5 = 11. 11 – 3 = 31. 11 – 7 = 12. 13 – 2 = 32. 13 – 8 = 13. 14 – 2 = 33. 16 – 9 = 14. 13 – 4 = 34. 12 – 8 = 15. 12 – 3 = 35. 16 – 12 = 16. 11 – 4 = 36. 18 – 15 = 17. 12 – 5 = 37. 15 – 14 = 18. 14 – 5 = 38. 17 – 11 = 19 11 – 2 = 39. 19 – 13 = 20. 12 – 4 = 40. 20 – 12 =
Sort and record data into a table using up to four categories; use category counts to solve word problems.
1. 17 – 7 =
2. 14 – 10 =
Lesson 1 Core Fluency Practice
16 – 7 =
17 – 8 =
3. 19 – 11 = 23. 18 – 7 =
4. 16 – 10 = 24. 14 – 6 =
5. 17 – 12 = 25. 17 – 8 =
6. 15 – 13 =
7. 12 – 3 =
8. 20 – 11 =
12 – 8 =
14 – 7 =
15 – 8 = 9. 18 – 11 =
13 – 5 = 10. 13 – 5 =
16 – 8 = 11. = 11 – 2
14 – 9 =
12. = 12 – 4 32. 15 – 6 =
13. = 13 – 5 33. 13 – 6 =
14. = 12 – 3 34. = 13 – 8
15. = 11 – 4
16. = 13 – 2
= 15 – 7
= 18 – 9 17. = 11 – 3
= 20 – 14 18. 17 – 8 =
= 20 – 7 19 14 – 6 =
20. 16 – 9 =
= 20 – 11
= 20 – 8
Sort and record data into a table using up to four categories; use category counts to solve word problems.
Lesson
1. 11 + 9 =
2. 13 + 5 =
3. 14 + 3 =
13 – 7 =
11 – 8 =
15 – 6 =
4. 12 + 7 = 24. 12 + 7 =
5. 5 + 9 =
6. 8 + 8 =
14 + 3 =
8 + 12 = 7. 14 – 7 =
5 + 7 = 8. 13 – 5 =
8 + 9 = 9. 16 – 7 =
7 + 5 = 10. 17 – 9 =
13 – 6 = 11. 14 – 6 =
14 – 8 = 12. 18 – 5 =
12 – 9 =
13. 9 + 9 = 33. 11 – 3 =
14. 7 + 6 =
14 – 5 = 15. 3 + 9 =
13 – 8 = 16. 6 + 7 =
+ 9 = 20. 14 – 8 =
20 – 8 =
Sort and record data into a table using up to four categories; use category counts to solve word problems.
AAddition and Subtraction by 5
1. 0 + 5 =
2. 5 + 5 =
Number Correct:
= 10. 45 + 5 =
– 5 =
–
– 5 =
21. 5 + 0 =
Draw and label a bar graph to represent data; relate the count scale to the number line.
BAddition and Subtraction by 5
1. 5 + 0 =
2. 5 + 5 =
3. 5 + 10 =
4. 5 + 15 =
5. 5 + 20 =
Number Correct: Improvement:
= 9. 5 + 40 =
+
= 10. 5 + 45 =
+ 50 = 11. 50 – 5 =
– 5 =
21. 0 + 5 =
22. 5 + 5 =
Draw and label a bar graph to represent data; relate the count scale to the number line.
Lesson 6 Fluency Template
decomposition tree
Lesson 6: Recognize the value of coins and count up to find their total value.
ASubtraction Across a Ten
Number Correct:
1. 10 – 3 = 23. 11 – 9 =
2. 11 – 3 = 24. 12 – 9 =
3. 12 – 3 = 25. 17 – 9 =
4. 10 – 2 =
10 – 8 = 5. 11 – 2 =
11 – 8 = 6. 10 – 5 =
11 – 5 =
12 – 8 =
16 – 8 = 8. 12 – 5 =
10 – 6 = 9. 14 – 5 =
13 – 6 = 10. 10 – 4 =
15 – 6 = 11. 11 – 4 =
10 – 7 = 12. 12 – 4 =
13 – 7 = 13. 13 – 4 =
14 – 7 = 14. 10 – 7 =
11 – 7 =
16 – 7 =
– 6 =
17 – 8 = 19. 11 – 6 =
10 – 9 = 20. 12 – 6 =
13 – 9 = 21. 14 – 6 = 43. 14 – 9 = 22. 10 – 9 = 44. 18 – 9 =
Solve word problems involving the total value of a group of coins.
Subtraction Across a Ten
Number Correct: Improvement:
1. 10 – 2 = 23. 11 – 7 = 2. 11 – 2 = 24. 12 – 7 =
3. 10 – 4 = 25. 16 – 7 =
4. 11 – 4 =
10 – 9 = 5. 12 – 4 =
11 – 9 = 6. 13 – 4 =
12 – 9 = 7. 10 – 3 =
18 – 9 = 8. 11 – 3 =
10 – 5 = 9. 12 – 3 = 31. 13 – 5 = 10. 10 – 6 = 32. 10 – 6 = 11. 11 – 6 = 33. 13 – 6 = 12. 12 – 6 = 34. 14 – 6 = 13. 15 – 6 =
10 – 7 = 14. 10 – 5 =
– 5 =
– 5 =
– 5 =
13 –
= 18. 10 – 8 =
14 – 8 = 19. 11 – 8 =
16 – 8 = 20. 12 – 8 =
10 – 9 = 21. 17 – 8 = 43. 16 – 9 = 22. 10 – 7 = 44. 17 – 9 =
Solve word problems involving the total value of a group of coins.
AAdding Across a Ten
1. 9 + 2 =
2. 9 + 3 =
3. 9 + 4 =
4. 9 + 7 =
5. 7 + 9 =
Number Correct:
4 + 7 =
4 + 8 =
5 + 6 =
+ 8 = 6. 10 + 1 =
+ 8 = 10. 8 + 10 =
9 + 6 = 11. 8 + 3 =
6 + 9 = 12. 8 + 4 =
7 + 6 = 13. 8 + 5 =
6 + 7 = 14. 8 + 9 =
+ 7 = 20. 9 + 5 =
21. 5 + 9 =
9 + 9 = 22. 10 + 6 =
4 + 9 =
Solve word problems involving the total value of a group of bills.
Adding Across a Ten
1. 10 + 1 =
2. 10 + 2 =
3. 10 + 3 =
4. 10 + 9 =
5. 9 + 10 =
Number Correct: Improvement:
5 + 6 =
5 + 7 =
4 + 7 =
4 + 8 =
4 + 10 = 6. 9 + 2 =
9 + 3 =
3 + 8 =
3 + 9 = 8. 9 + 4 =
2 + 9 = 9. 9 + 8 =
5 + 8 = 10. 8 + 9 =
7 + 6 = 11. 8 + 3 =
6 + 7 = 12. 8 + 4 =
8 + 6 = 13. 8 + 5 =
6 + 8 = 14. 8 + 7 =
9 + 6 = 15. 7 + 8 =
7 + 4 =
10 + 4 =
6 + 5 =
6 + 9 =
9 + 7 =
+ 9 =
+ 6 = 19. 7 + 5 =
7 + 7 = 20. 9 + 5 =
8 + 8 = 21. 5 + 9 =
9 + 9 = 22. 10 + 8 =
4 + 9 =
Solve word problems involving the total value of a group of bills.
ASubtraction from Teens
Number Correct:
1. 11 – 10 = 23. 19 – 9 =
2. 12 – 10 = 24. 15 – 6 =
3. 13 – 10 = 25. 15 – 7 =
4. 19 – 10 = 26. 15 – 9 =
5. 11 – 1 = 27. 20 – 10 =
6. 12 – 2 =
7. 13 – 3 =
14 – 5 =
14 – 6 = 8. 17 – 7 = 30. 14 – 7 = 9. 11 – 2 = 31. 14 – 9 = 10. 11 – 3 = 32. 15 – 5 = 11. 11 – 4 = 33. 17 – 8 = 12. 11 – 8 = 34. 17 – 9 =
13. 18 – 8 = 35. 18 – 8 = 14. 13 – 4 = 36. 16 – 7 = 15. 13 – 5 =
16 – 8 = 16. 13 – 6 =
16 – 9 = 17. 13 – 8 =
17 – 10 = 18. 16 – 6 =
12 – 8 = 19. 12 – 3 = 41. 18 – 9 = 20. 12 – 4 = 42. 11 – 9 = 21. 12 – 5 = 43. 15 – 8 = 22. 12 – 9 = 44. 13 – 7 =
Use different strategies to make $1 or make change from $1.
Subtraction from Teens
Number Correct: Improvement:
1. 11 – 1 = 23. 16 – 6 =
2. 12 – 2 = 24. 14 – 5 =
3. 13 – 3 = 25. 14 – 6 =
4. 18 – 8 = 26. 14 – 7 =
5. 11 – 10 = 27. 14 – 9 = 6. 12 – 10 = 28. 20 – 10 = 7. 13 – 10 = 29. 15 – 6 = 8. 18 – 10 = 30. 15 – 7 = 9. 11 – 2 = 31. 15 – 9 = 10. 11 – 3 = 32. 14 – 4 = 11. 11 – 4 = 33. 16 – 7 = 12. 11 – 7 = 34. 16 – 8 = 13. 19 – 9 = 35. 16 – 9 = 14. 12 – 3 =
20 – 10 = 15. 12 – 4 =
17 – 8 = 16. 12 – 5 =
17 – 9 = 17. 12 – 8 =
16 – 10 = 18. 17 – 7 =
18 – 9 = 19. 13 – 4 = 41. 12 – 9 = 20. 13 – 5 = 42. 13 – 7 = 21. 13 – 6 = 43. 11 – 8 = 22. 13 – 9 = 44. 15 – 8 =
Use different strategies to make $1 or make change from $1.
Adding Across a Ten
1. 9 + 2 =
2. 9 + 3 =
3. 9 + 4 =
4. 9 + 7 =
5. 7 + 9 =
Number Correct:
4 + 7 =
4 + 8 =
5 + 6 =
+ 8 = 10. 8 + 10 =
9 + 6 = 11. 8 + 3 =
6 + 9 = 12. 8 + 4 =
7 + 6 = 13. 8 + 5 =
+ 8 = 21. 5 + 9 =
9 + 9 = 22. 10 + 6 =
4 + 9 =
Adding Across a Ten
1. 10 + 1 =
2. 10 + 2 =
3. 10 + 3 =
4. 10 + 9 =
5. 9 + 10 =
6. 9 + 2 =
Number Correct: Improvement:
5 + 6 =
5 + 7 =
4 + 7 =
4 + 8 =
4 + 10 =
3 + 8 = 7. 9 + 3 =
3 + 9 = 8. 9 + 4 =
2 + 9 = 9. 9 + 8 =
5 + 8 = 10. 8 + 9 =
7 + 6 = 11. 8 + 3 =
6 + 7 = 12. 8 + 4 =
13. 8 + 5 =
8 + 6 =
6 + 8 = 14. 8 + 7 =
9 + 6 = 15. 7 + 8 =
6 + 9 = 16. 7 + 4 =
9 + 7 = 17. 10 + 4 =
7 + 9 = 18. 6 + 5 =
6 + 6 = 19. 7 + 5 =
7 + 7 = 20. 9 + 5 =
21. 5 + 9 =
8 + 8 =
9 + 9 = 22. 10 + 8 =
4 + 9 =
Solve word problems involving different ways to make change from $1.
subtraction fact flash cards set 2
Connect measurement with physical units by using iteration with an inch tile to measure.
Lesson 14:
subtraction fact flash cards set 2
Connect measurement with physical units by using iteration with an inch tile to measure.
Lesson 14:
subtraction fact flash cards set 2
Connect measurement with physical units by using iteration with an inch tile to measure.
Lesson 14:
subtraction fact flash cards set 2
Connect measurement with physical units by using iteration with an inch tile to measure.
Lesson 14:
subtraction fact flash cards set 2
Connect measurement with physical units by using iteration with an inch tile to measure.
Lesson 14:
subtraction fact flash cards set 2
Connect measurement with physical units by using iteration with an inch tile to measure.
Lesson 14:
Adding and Subtracting by 2
1. 0 + 2 =
2. 2 + 2 =
3. 4 + 2 =
4. 6 + 2 =
5. 8 + 2 =
Number Correct:
2 + 4 =
2 + 6 =
2 + 8 =
2 + 10 =
2 + 12 = 6. 10 + 2 =
12 + 2 =
2 + 14 =
2 + 16 = 8. 14 + 2 =
2 + 18 = 9. 16 + 2 =
0 + 22 = 10. 18 + 2 =
22 + 22 = 11. 20 – 2 =
44 + 22 = 12. 18 – 2 = 34. 66 + 22 = 13. 16 – 2 = 35. 88 – 22 = 14. 14 – 2 =
66 – 22 = 15. 12 – 2 =
44 – 22 = 16. 10 – 2 =
8 – 2 =
22 – 22 =
22 + 0 = 18. 6 – 2 =
22 + 22 = 19. 4 – 2 =
22 + 44 = 20. 2 – 2 =
66 + 22 = 21. 2 + 0 = 43. 888 – 222 = 22. 2 + 2 = 44. 666 – 222 =
Apply concepts to create inch rulers; measure lengths using inch rulers.
Adding and Subtracting by 2
1. 2 + 0 =
2. 2 + 2 =
3. 2 + 4 =
4. 2 + 6 =
5. 2 + 8 =
6. 2 + 10 =
7. 2 + 12 =
Number Correct: Improvement:
4 + 2 =
6 + 2 =
8 + 2 =
10 + 2 =
12 + 2 =
14 + 2 =
16 + 2 =
8. 2 + 14 = 30. 18 + 2 =
9. 2 + 16 = 31. 0 + 22 =
10. 2 + 18 = 32. 22 + 22 = 11. 20 – 2 = 33. 22 + 44 = 12. 18 – 2 = 34. 66 + 22 = 13. 16 – 2 = 35. 88 – 22 = 14. 14 – 2 = 36. 66 – 22 = 15. 12 – 2 =
44 – 22 = 16. 10 – 2 = 38. 22 – 22 = 17. 8 – 2 = 39. 22 + 0 = 18. 6 – 2 = 40. 22 + 22 = 19. 4 – 2 = 41. 22 + 44 = 20. 2 – 2 = 42. 66 + 22 =
21. 0 + 2 = 43. 666 – 222 = 22. 2 + 2 = 44. 888 – 222 =
Apply concepts to create inch rulers; measure lengths using inch rulers.
Adding and Subtracting by 3
1. 0 + 3 =
2. 3 + 3 =
3. 6 + 3 =
4. 9 + 3 =
5. 12 + 3 =
6. 15 + 3 =
7. 18 + 3 =
8. 21 + 3 =
9. 24 + 3 =
10. 27 + 3 =
11. 30 – 3 =
12. 27 – 3 =
13. 24 – 3 =
14. 21 – 3 =
15. 18 – 3 =
16. 15 – 3 =
Number Correct:
6 + 3 =
9 + 3 =
12 + 3 =
+ 3 =
+ 3 =
+ 3 =
+ 3 =
+ 3 =
0 + 33 =
33 + 33 =
66 + 33 =
33 + 66 =
99 – 33 =
– 33 =
– 33 = 17. 12 – 3 =
18. 9 – 3 =
+ 3 = 19. 6 – 3 =
20. 3 – 3 =
21. 3 + 0 =
22. 3 + 3 =
+ 3 =
36 + 3 =
63 + 33 =
63 + 36 =
Measure various objects using inch rulers and yardsticks.
Adding and Subtracting by 3
1. 3 + 0 =
2. 3 + 3 =
3. 3 + 6 =
4. 3 + 9 =
5. 3 + 12 =
6. 3 + 15 =
7. 3 + 18 =
8. 3 + 21 =
9. 3 + 24 =
10. 3 + 27 =
11. 30 – 3 =
Number Correct: Improvement:
6 + 3 =
9 + 3 =
12 + 3 =
15 + 3 =
18 + 3 =
21 + 3 =
24 + 3 =
27 + 3 =
0 + 33 =
33 + 33 =
33 + 66 =
12. 27 – 3 = 34. 66 + 33 =
13. 24 – 3 = 35. 99 – 33 =
14. 21 – 3 =
15. 18 – 3 =
16. 15 – 3 =
17. 12 – 3 =
18. 9 – 3 =
19. 6 – 3 =
20. 3 – 3 =
21. 0 + 3 =
22. 3 + 3 =
66 – 33 =
999 – 333 =
33 – 33 =
33 + 0 =
30 + 3 =
33 + 3 =
36 + 3 =
36 + 33 =
36 + 63 =
Measure various objects using inch rulers and yardsticks.
Number Correct:
Subtraction Patterns
1. 10 – 1 =
Measure to compare the differences in lengths using inches, feet, and yards.
Subtraction Patterns
1. 10 – 2 =
2. 20 – 2 =
3. 30 – 2 =
Number Correct: Improvement:
21 – 6 =
41 – 6 =
10 – 7 = 4. 50 – 2 =
Measure to compare the differences in lengths using inches, feet, and yards.
Subtraction Patterns
1. 8 – 1 =
2. 18 – 1 = 3. 8 – 2 =
4. 18 – 2 =
5. 8 – 5 = 6. 18 – 5 = 7. 28 – 5 = 8. 58 – 5 = 9. 58 – 7 = 10. 10 – 2 =
11 – 2 =
21 – 2 =
61 – 2 =
61 – 3 =
– 5 =
– 5 =
20 – 5 =
30 – 5 =
70 – 5 = 20. 72 – 5 = 21. 4 – 2 = 22. 40 – 20 =
41 – 20 =
46 – 20 =
7 – 5 =
–
=
=
–
=
76 – 9 = Solve two-digit addition and subtraction word problems involving length by using tape diagrams and writing equations to represent the problem.
Subtraction Patterns
1. 7 – 1 =
2. 17 – 1 =
3. 7 – 2 =
4. 17 – 2 =
5. 7 – 5 =
6. 17 – 5 = 7. 27 – 5 = 8. 57 – 5 = 9. 57 – 6 = 10. 10 – 5 =
11 – 5 = 12. 21 – 5 = 13. 61 – 5 = 14. 61 – 4 = 15. 61 – 2 = 16. 10 – 2 = 17. 20 – 2 = 18. 30 – 2 =
19. 70 – 2 = 20. 71 – 2 =
21. 5 – 2 =
22. 50 – 20 =
–
–
–
–
–
–
–
=
=
=
=
=
=
–
Lesson 21: Solve two-digit addition and subtraction word problems involving length by using tape diagrams and writing equations to represent the problem.
AAdding Across a Ten
1. 9 + 2 =
2. 9 + 3 =
3. 9 + 4 =
Number Correct:
4 + 7 =
4 + 8 =
+ 6 = 4. 9 + 7 =
7 + 9 =
10 + 8 =
8 + 10 =
8 + 3 =
8 + 4 =
9 + 6 =
6 + 9 =
7 + 6 = 13. 8 + 5 =
+ 9 =
10 + 6 =
Lesson 24:
9 + 9 =
4 + 9 =
Collect and record measurement data in a table; answer questions and summarize the data set
Adding Across a Ten
1. 10 + 1 =
2. 10 + 2 =
3. 10 + 3 =
Number Correct: Improvement:
5 + 6 =
5 + 7 =
4 + 7 = 4. 10 + 9 =
9 + 10 =
9 + 2 =
9 + 3 =
9 + 4 =
9 + 8 =
8 + 9 =
8 + 3 =
+ 9 =
5 + 8 =
7 + 6 =
6 + 7 = 12. 8 + 4 =
8 + 6 = 13. 8 + 5 =
7 + 5 =
9 + 5 =
+ 7 =
8 + 8 = 21. 5 + 9 =
9 + 9 = 22. 10 + 8 =
Lesson 24:
4 + 9 =
Collect and record measurement data in a table; answer questions and summarize the data set.
Subtraction Patterns
1. 3 – 1 =
2. 13 – 1 =
3. 23 – 1 =
4. 53 – 1 =
Number Correct:
8 – 7 =
18 – 7 =
– 7 =
–
= 5. 4 – 2 =
– 2 =
– 2 =
– 2 =
69 – 8 = 9. 4 – 3 =
7 – 3 = 10. 14 – 3 = 32. 17 – 3 = 11. 24 – 3 = 33. 77 – 3 = 12. 74 – 3 = 34. 59 – 9 = 13. 6 – 4 =
– 5 =
–
= 19. 27 – 5 =
39 – 7 = 20. 47 – 5 =
28 – 6 = 21. 43 – 3 = 43. 49 – 4 = 22. 87 – 7 = 44. 67 – 4 =
Draw a line plot to represent the measurement data; relate the measurement scale to the number line.x
Subtraction Patterns
1. 2 – 1 =
2. 12 – 1 =
Number Correct: Improvement:
8 – 7 =
18 – 7 = 3. 22 – 1 =
– 1 =
– 2 =
– 2 =
– 2 =
– 2 =
– 8 = 9. 4 – 3 =
8 – 4 = 10. 14 – 3 =
18 – 4 = 11. 24 – 3 =
78 – 4 = 12. 84 – 3 = 34. 89 – 9 = 13. 7 – 4 =
= 18. 16 – 5 =
48 – 5 = 19. 26 – 5 =
29 – 7 = 20. 46 – 5 = 42. 38 – 6 = 21. 23 – 3 = 43. 59 – 4 = 22. 67 – 7 = 44. 77 – 4 =
Draw a line plot to represent the measurement data; relate the measurement scale to the number line.x
Credits
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Modules 6&7: Credits
A Story of Units®
Eureka Math helps students truly understand mathematics and connect it to the real world, preparing them to solve problems they have not encountered. Great Minds teachers and mathematicians believe that it is not enough for students to know the process for solving a problem; they need to understand why that process works.
Eureka Math presents mathematics as a story, one that develops from grades PK through 12. In A Story of Units, our elementary curriculum, this sequencing has been joined with methods of instruction that have been proven to work, in this nation and abroad.
Great Minds is here to make sure you succeed with an ever-growing library of resources, including free tip sheets, resource sheets, and full grade-level modules at eureka-math.org.
Sequence of Grade 2 Modules
Module 1: Sums and Differences to 100
Module 2: Addition and Subtraction of Length Units
Module 3: Place Value, Counting, and Comparison of Numbers to 1,000
Module 4: Addition and Subtraction Within 200 with Word Problems to 100
Module 5: Addition and Subtraction Within 1,000 with Word Problems to 100
Module 6: Foundations of Multiplication and Division
Module 7: Problem Solving with Measurement, Money, and Data
Module 8: Time, Shapes, and Fractions as Equal Parts of Shapes
On the cover
Vincent van Gogh (1853–1890). The Starry Night. Saint Rémy, June 1889. Oil on canvas, 29 x 36 1/4" (73.7 x 92.1 cm).
Acquired through the Lillie P. Bliss Bequest.
Location: The Museum of Modern Art, New York, NY, U.S.A.
Digital Image © The Museum of Modern Art/Licensed by SCALA/Art Resource, NY
What does this painting have to do with math?
In an effort to take advantage of every opportunity to build students’ cultural literacy, Great Minds features an important work of art or architecture on the cover of each book we publish. We select images that we know students and teachers will love to look at again and again. These works also relate, in visual terms, to ideas taken up in the book. Who can look at the night sky and not think of counting? Or of the shapes that form the constellations? The arrangement of the stars, moon, and planets particularly intrigued Vincent van Gogh, who painted twenty-one images of the sky as seen from his bedroom.
Published by Great Minds PBC