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๐ŸŽ“ Grade 1๐Ÿ“„ Free PDFโœ… Answer Keys๐ŸŽฏ 4 Classroom Sets

Fact Families withinย 20 ยท Free Worksheets (Grade 1)

Practice fact families within 20 (Grade 1) with free printable PDF worksheets. 4 pre-packaged classroom sets with 100% verified step-by-step answer keys, plus an unlimited live customizer for teachers and homeschoolers.

๐Ÿ“Aligned to Common Core (CCSS.MATH.CONTENT.1.OA.B.3)ยท5-10 min per sheet
Count:
PanMaths.comFact Families within 20 Worksheets โ€ข Set A (Standard)
Name: __________________________
Date: _____________ Period: ____
Score: _____ / 10
1.
Family:2, 14, 16
___ + ___ = ___
___ + ___ = ___
___ โˆ’ ___ = ___
___ โˆ’ ___ = ___
2.
Family:2, 15, 17
___ + ___ = ___
___ + ___ = ___
___ โˆ’ ___ = ___
___ โˆ’ ___ = ___
3.
Family:6, 9, 15
___ + ___ = ___
___ + ___ = ___
___ โˆ’ ___ = ___
___ โˆ’ ___ = ___
4.
Family:1, 15, 16
___ + ___ = ___
___ + ___ = ___
___ โˆ’ ___ = ___
___ โˆ’ ___ = ___
5.
Family:3, 16, 19
___ + ___ = ___
___ + ___ = ___
___ โˆ’ ___ = ___
___ โˆ’ ___ = ___
6.
Family:5, 7, 12
___ + ___ = ___
___ + ___ = ___
___ โˆ’ ___ = ___
___ โˆ’ ___ = ___
7.
Family:6, 14, 20
___ + ___ = ___
___ + ___ = ___
___ โˆ’ ___ = ___
___ โˆ’ ___ = ___
8.
Family:3, 12, 15
___ + ___ = ___
___ + ___ = ___
___ โˆ’ ___ = ___
___ โˆ’ ___ = ___
9.
Family:8, 12, 20
___ + ___ = ___
___ + ___ = ___
___ โˆ’ ___ = ___
___ โˆ’ ___ = ___
10.
Family:2, 10, 12
___ + ___ = ___
___ + ___ = ___
___ โˆ’ ___ = ___
___ โˆ’ ___ = ___
PanMaths.com โ€ข Free Printable Math WorksheetsPage 1 of 2
PanMaths.comAnswer Key & Worked Solutions โ€ข Set A (Standard)
Answer Key
Total Problems: 10
1.
Family:2, 14, 16
2 + 14 = 16
14 + 2 = 16
16 โˆ’ 2 = 14
16 โˆ’ 14 = 2
1. Fact Family Numbers: 2, 14, and 16 (Whole: 16, Parts: 2 & 14)
2.
Family:2, 15, 17
2 + 15 = 17
15 + 2 = 17
17 โˆ’ 2 = 15
17 โˆ’ 15 = 2
1. Fact Family Numbers: 2, 15, and 17 (Whole: 17, Parts: 2 & 15)
3.
Family:6, 9, 15
6 + 9 = 15
9 + 6 = 15
15 โˆ’ 6 = 9
15 โˆ’ 9 = 6
1. Fact Family Numbers: 6, 9, and 15 (Whole: 15, Parts: 6 & 9)
4.
Family:1, 15, 16
1 + 15 = 16
15 + 1 = 16
16 โˆ’ 1 = 15
16 โˆ’ 15 = 1
1. Fact Family Numbers: 1, 15, and 16 (Whole: 16, Parts: 1 & 15)
5.
Family:3, 16, 19
3 + 16 = 19
16 + 3 = 19
19 โˆ’ 3 = 16
19 โˆ’ 16 = 3
1. Fact Family Numbers: 3, 16, and 19 (Whole: 19, Parts: 3 & 16)
6.
Family:5, 7, 12
5 + 7 = 12
7 + 5 = 12
12 โˆ’ 5 = 7
12 โˆ’ 7 = 5
1. Fact Family Numbers: 5, 7, and 12 (Whole: 12, Parts: 5 & 7)
7.
Family:6, 14, 20
6 + 14 = 20
14 + 6 = 20
20 โˆ’ 6 = 14
20 โˆ’ 14 = 6
1. Fact Family Numbers: 6, 14, and 20 (Whole: 20, Parts: 6 & 14)
8.
Family:3, 12, 15
3 + 12 = 15
12 + 3 = 15
15 โˆ’ 3 = 12
15 โˆ’ 12 = 3
1. Fact Family Numbers: 3, 12, and 15 (Whole: 15, Parts: 3 & 12)
9.
Family:8, 12, 20
8 + 12 = 20
12 + 8 = 20
20 โˆ’ 8 = 12
20 โˆ’ 12 = 8
1. Fact Family Numbers: 8, 12, and 20 (Whole: 20, Parts: 8 & 12)
10.
Family:2, 10, 12
2 + 10 = 12
10 + 2 = 12
12 โˆ’ 2 = 10
12 โˆ’ 10 = 2
1. Fact Family Numbers: 2, 10, and 12 (Whole: 12, Parts: 2 & 10)
PanMaths.com โ€ข Answer Key & SolutionsPage 2 of 2
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Worksheet Info

Categorygrade-1
Grade LevelGrade 1
DifficultyEasy, Medium, Hard, Sprint
Time5-10 min
CCSS CodeCCSS.MATH.CONTENT.1.OA.B.3

Skills Practiced

  • โœ“ Fact Families within 20

Key Strategies

  • ๐Ÿ  Identify Whole (Teen Number) and Parts: The whole is a number between 11 and 20. The two parts add up to that whole (e.g. 7 + 8 = 15).
  • ๐Ÿ”„ Use Commutative Addition Facts: Switch the addends: 7 + 8 = 15 and 8 + 7 = 15.
  • โž– Subtraction Undoes the Addition: Subtract each part from the whole: 15 โˆ’ 7 = 8 and 15 โˆ’ 8 = 7.

Related Worksheets

๐Ÿ“œ Standard: CCSS.MATH.CONTENT.1.OA.B.3๐Ÿ”— CCSS.MATH.CONTENT.1.OA.C.6๐Ÿ”— CCSS.MATH.CONTENT.1.OA.D.8๐Ÿ”— CCSS.MATH.CONTENT.2.OA.B.2

Mastering Fact Families within 20: Core Concepts & Mental Models

Extending fact families up to 20 bridges single-digit arithmetic into teen-number fluency. Students practice working with larger wholes (11 to 20) and see how subtraction from teen numbers directly connects to known addition pairs.

Worked Example & SolutionTeacher Step-by-Step Method
๐Ÿ“ Problem: Write the 4 facts for the family 6, 8, 14:
Worked Solution: 1. Addition: 6 + 8 = 14. 2. Commutative: 8 + 6 = 14. 3. Subtraction: 14 โˆ’ 6 = 8. 4. Subtraction: 14 โˆ’ 8 = 6.

๐Ÿ’ก Essential Strategies for Fact Families within 20

๐Ÿ  Identify Whole (Teen Number) and Parts

The whole is a number between 11 and 20. The two parts add up to that whole (e.g. 7 + 8 = 15).

๐Ÿ”„ Use Commutative Addition Facts

Switch the addends: 7 + 8 = 15 and 8 + 7 = 15.

โž– Subtraction Undoes the Addition

Subtract each part from the whole: 15 โˆ’ 7 = 8 and 15 โˆ’ 8 = 7.

โš ๏ธ Common Mistakes & Teacher Fixes

โš ๏ธAdding the whole to one of the parts

Why students stumble: Students sometimes write 14 + 6 = 20 when given the trio 6, 8, 14.

Teacher Fix: Remind students that only the 3 given family members can ever be written in any of the four equations!
Example: For family 6, 8, 14: You can only use 6, 8, and 14. 6 + 8 = 14, 8 + 6 = 14, 14 โˆ’ 6 = 8, 14 โˆ’ 8 = 6.

๐Ÿ“– Key Mathematical Vocabulary

Teen Number Whole

A total between 11 and 20 made of ten and some extra ones.

Related Facts

Equations that share the exact same mathematical truth in different arrangements.

Inverse Relationship

How addition and subtraction undo each other.

๐ŸŽฏ 4 Differentiated Classroom Sets Included

Standard 10Version A

Set A: Core Facts to 20 (10 Problems)

Core fact families with wholes between 11 and 20, completing all 4 related equations.

Anti-CheatVersion B

Set B: Alternate Numbers (10 Problems)

Identical structure with fresh number trios to prevent copying in classroom settings.

ChallengingVersion C

Set C: Review & Fluency (8 Problems)

Focuses on facts near 18, 19, and 20 to test advanced mental math.

Speed SprintVersion D

Set D: Rapid Fact Drill (12 Problems)

12 rapid fact families covering 48 equations for high-speed classroom recall.

โ“ Frequently Asked Questions

How do you solve a fact families within 20 problem step by step?

Here is a worked example: "Write the 4 facts for the family 6, 8, 14:". Solution: 1. Addition: 6 + 8 = 14. 2. Commutative: 8 + 6 = 14. 3. Subtraction: 14 โˆ’ 6 = 8. 4. Subtraction: 14 โˆ’ 8 = 6.

What is the core learning objective for fact families within 20?

Master addition and subtraction relationships within 20 by identifying all four equations for a given teen fact family. This directly aligns with Common Core Standard CCSS.MATH.CONTENT.1.OA.B.3.

What is the most common mistake students make with fact families within 20?

A frequent pitfall is: "Adding the whole to one of the parts". Why students stumble: Students sometimes write 14 + 6 = 20 when given the trio 6, 8, 14. How to fix it: Remind students that only the 3 given family members can ever be written in any of the four equations! (Example: For family 6, 8, 14: You can only use 6, 8, and 14. 6 + 8 = 14, 8 + 6 = 14, 14 โˆ’ 6 = 8, 14 โˆ’ 8 = 6.)

What is included in the 4 differentiated worksheet sets?

Set A covers standard core practice (Core fact families with wholes between 11 and 20, completing all 4 related equations.). Set B is an Anti-Cheat version with alternate numbers to prevent copying. Set C features challenging problems, and Set D is a timed sprint.

Are these fact families within 20 worksheets free to print with answer keys?

Yes! Every single worksheet on PanMaths is 100% free with no sign-up needed. Each sheet includes a dedicated Answer Key on Page 2 with step-by-step intermediate evaluation lines for 1-minute grading.