Question

Out of $17$ cups, $6$ are red and the remaining are blue. Which of the following options shows the correct equations that can be created to form the fact family of the numbers $6,17,$ and the number of blue cups?

• A. $6+11=17,11+6=17,17–11=6,17–6=11$
• B. $17+6=11,6+17=11,12–17=6,17–6=12$
• C. $9+1=10,1+9=10,10–1=9,10–9=1$
• D. $7+3=10,3+7=10,10–7=3,10–3=7$

Answer 1

The correct option is A $6+11=17,11+6=17,17–11=6,17–6=11$

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 $6,17,$ and the number of blue cups.
$\bullet$ How many cups are there in total?
Ans: $17$
$\bullet$ How many red cups are there?
Ans: $6$
$\bullet$ How will we find the number of blue cups?
Ans: By subtracting the number of red cups, i.e., $6$ from the total number of cups, i.e., $17.$
$\bullet$ What equation will be framed?
Ans: $17–6=11$
$\bullet$ So, how many blue cups are there?
Ans: $11$

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 $17–6=11,$ what other subtraction equation can we frame?
Ans: $17–11=6$
$\bullet$ Using the same three numbers, i.e., $6,17$ and $11,$ what addition equations can be framed?
Ans: $6+11=17$ and $11+6=17$
$\bullet$ What are the four related addition and subtraction equations framed?
Ans: $6+11=17,11+6=17,17–11=6,17–6=11$

Hence, Option B is correct.

WB: If required, use the whiteboard to represent the total number of cups and check the number of red cups as shown to find the number of blue cups, and write the related addition and subtraction equations.