Place Value Fact Families

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Date:

📚 Part 1: Quick Check (Multiple Choice)

WALT: We Are Learning To use place value to make related addition and subtraction facts (fact families) for tens and ones.

Success criteria: I can write the related addition and subtraction facts for a number pair, turn a ones fact into a tens fact (e.g. 7+2 → 70+20), and choose the correct fact from options.

1. If 7 + 2 = 9, which shows the related tens fact?

70 + 20 = 90

7 + 20 = 27

700 + 200 = 900

2. Which equation is in the same fact family as 60 + 4 = 64?

64 - 60 = 4

6 + 4 = 10

600 + 40 = 640

3. From 8 + 5 = 13, which derived tens fact is correct?

80 + 50 = 130

80 + 5 = 85

8 + 50 = 58

4. Which is the subtraction that belongs to this family? 30 + 7 = 37

37 - 7 = 30

70 - 30 = 40

37 - 30 = 7

✏️ Part 2: Short Answers & Activities

5. Write the ones fact family and the tens fact family for 4 + 9 = 13.

Ones fact family: ____ , ____ , ____ , ____

Tens fact family (use the same relationship): ____ , ____ , ____ , ____

6. Use place value language to explain why 7 + 3 = 10 and 70 + 30 = 100 are related. (Write one or two sentences.)

7. Match each ones fact with its tens-derived fact. Draw a line between matching pairs.

a) 6 + 4 = 10

b) 8 + 2 = 10

c) 5 + 5 = 10

1) 50 + 50 = 100

2) 80 + 20 = 100

3) 60 + 40 = 100

8. Extension: Create your own fact family using a two-digit tens + ones pair (not using exactly 10). Write the ones facts and the tens facts. Then draw a small place value model (tens rods / ones cubes) to show one of the facts.

Differentiation (support): Use counters or tens-rods and ones-cubes to make each fact. Work with a partner and say the facts out loud: “seven plus two is nine; seventy plus twenty is ninety.”

Extension for advanced learners: Make a fact family that includes hundreds (e.g. from 7 + 3 = 10, create 700 + 300 = 1000) and write four related equations. Challenge a friend to solve them mentally.