Question

If $10–6=4$ is one of the equations from a fact family of numbers, which of the following cannot be one of the remaining three equations that can be formed?

• A. $6+4=10$
• B. $4+6=10$
• C. $10+4=14$
• D. $10–4=6$

Answer 1

The correct option is C $10+4=14$

Say: Let us read the question and observe the image.

Ask:
$\bullet$ What is the given equation?
Ans: $10–6=4$
$\bullet$ By observing the given equation, can you tell me what are the three numbers of the fact family?
Ans: $4,6,$ and $10$
$\bullet$ How many more equations can be formed with these three numbers?
Ans: Three more equations
$\bullet$ What are the other three equations?
Ans: The other three equations are:
$10–4=6,6+4=10,$ and $4+6=10$
$\bullet$ Which are the options that show the above equations?
Ans: Options A, C, and D
$\bullet$ Which equation is not a part of the fact family?
Ans: The equation that is not a part of the fact family is $10+4=14.$

Hence, option B is the correct answer.

WB: Use the whiteboard to draw the number frame and write the equations.

Probing Question:
What are the numbers of the fact family that the correct option is a part of?
A: $4,10,$ and $14$

Q. What are the other equations of the fact family?
A: $4+10=14,14–10=4,$ and $14–4=10$