Question

Out of all the pies, $7$ are apple pies and $9$ are cherry pies. Which of the following options shows the correct equations that can be created to form the fact family?

• A. $7+9=15,9+7=15,7–15=9,9–15=7$
• B. $7+9=16,9+7=16,16–7=9,16–9=7$
• C. $7+9=17,9+7=17,17–7=9,17–9=7$
• D. $7+9=16,16+7=9,9–7=2,9–2=7$

Answer 1

The correct option is B $7+9=16,9+7=16,16–7=9,16–9=7$

Say: Let’s read the question.

Ask:
$\bullet$ What do we have to do here?
Ans: We need to frame the fact family equations using the numbers $7,9,$ and the total number of pies.
$\bullet$ How many apple pies are there in total?
Ans: $7$
$\bullet$ How many cherry pies are there?
Ans: $9$
$\bullet$ How will we find the total number of pies?
Ans: By adding the number of apple pies, i.e., $7$ and the number of cherry pies, i.e., $9.$
$\bullet$ What equation will be framed?
Ans: $7+9=16$
$\bullet$ So, how many pies are there in total?
Ans: $16$

Say: Now that we know all the three numbers needed to frame fact family equations, let’s frame the remaining addition and subtraction equations.

Ask:
$\bullet$ Since we already framed the equation $7+9=16,$ what other addition equation can we frame?
Ans: $9+7=16$
$\bullet$ Using the same three numbers, i.e., $7,9$ and $16,$ $\bullet$ what subtraction equations can be framed?
Ans: $16–7=9$ and $16–9=7$

Hence, Option D is correct.

WB: If required, use the whiteboard to represent the number of apple pies and the number of cherry pies as shown to find the total number of pies, and write the related addition and subtraction equations.


Probing Question:
Q. What are the four related addition and subtraction equations framed?
A. $7+9=16,9+7=16,16–7=9,16–9=7$