Predict how many matchsticks will be needed for Pattern 10. Explain how you get your answer.

From our previous analysis of Activity 3.1, the number of matchsticks used for the whole shape in Pattern $n$ is given by the formula $T_n = 2n(n+1)$.

The number of matchsticks for Pattern 10 is found by substituting $n=10$ into the general rule $T_n = 2n(n+1)$, which results in $2(10)(10+1) = 20(11) = 220$.

Number of matches in pattern 10 = $\boxed{\text{220}}$

3.3 Write down the general rule for the pattern in the form $T_n=$

Based on the pattern observed in Activity 3.1, the number of matchsticks for Pattern $n$ is given by the formula $2n(n+1)$.
The rule you wrote, $T_n = 3n+2$, is incorrect for this pattern. For example, for Pattern 1, it would give $3(1)+2=5$, but the actual number of matches is 4.