1. **Identify errors in learner examples:** - Example 1: $6x \frac{1}{2} = 3$ - Error: Misinterpretation of multiplication by a fraction. Correct calculation: $6 \times \frac{1}{2} = 3$ is correct, so no error here. - Example 2: $9 \times 10!$ - Error: Misuse of factorial. $10!$ means factorial of 10, which is $3628800$, so $9 \times 10! = 9 \times 3628800 = 32659200$. 2. **Match Column B to Column A:** - 5.2.1 🍎🍎🍎🍎🍎🍎🍎🍎🍎🍎 (10 apples) - Matches A: Change unknown (we don't know the change or difference). - 5.2.2 Colored blocks with sums $1+3=4$ and $2+2=4$ - Matches C: Transitivity of equality (since $1+3=4$ and $2+2=4$, then $1+3=2+2$). - 5.2.3 $7+6=$ result, $Initial + 6=13$, $7+ change=13$ - Matches H: Result unknown (the result is to be found). - 5.2.4 Biscuits problem: Mpho has some biscuits, Sam gives 4 more, now 12 total. - Matches J: Start unknown (initial quantity unknown). - 5.2.5 Thabo's money problem: starts with 10, buys chips for 3, finds 2, buys toffee for 1. - Matches E: Subtraction (calculating remaining money). - 5.2.6 Division with boxes: $8 \div 4$, $10 \div 2$, $7 \div 2$ - Matches F: Multiplication (division related to multiplication concepts). - 5.2.7 Lesego's travel distance: walks 2 km, bus 5 km. - Matches I: In-context mathematical problem (real-life context). - 5.2.8 Circles equation: multiple circles on left and right sides. - Matches B: Associative property (grouping of elements). - 5.2.9 $(3+9)-5$ - Matches D: Binding structures of addition and subtraction (order of operations). - 5.2.10 Jan's marbles lost problem. - Matches G: Context-free mathematical problem (abstract problem). **Summary:** - Errors identified in factorial misuse. - Matching based on problem type and mathematical property.