Final answer:
The assessment that can show students' ability to solve a certain level of math problem before advanced instruction is Diagnostic assessment.
Step-by-step explanation:
The assessment that can show you how well your students can solve a certain level of math problem before you begin formal instruction on a more advanced level is Diagnostic assessment.
Diagnostic assessment is used to identify students' strengths and weaknesses, and to determine their prior knowledge and readiness for instruction. It helps teachers tailor their instruction to meet students' individual needs and provide appropriate support.
For example, before teaching a more advanced level of math, you can administer a diagnostic assessment to determine if students have the foundational skills required for the advanced level. This assessment can include specific math problems that test the prerequisite skills and concepts needed for the advanced level, helping you to gauge students' readiness and plan your instruction accordingly.