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Functions and Relations Assessments
Diagnostic and summative assessments on functions and relations for Year 9-10 (Grade 9-10) classes. Cover function notation, domain and range, mapping diagrams, and graphing linear and non-linear functions in one ready-to-assign pack.
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What’s Included in the Functions and Relations Assessments?
🔥Digital Diagnostic Assessment
The functions and relations assessment checks whether students can tell a function from a relation, read function notation, identify domain and range, and graph the result. Each question is mapped to a sub-skill so you can see exactly where understanding breaks down.
🌍 Printable Summative Assessments
Diagnostic and summative versions are available, aligned to Year 9-10 (Grade 9-10) outcomes in the Australian Curriculum and US Common Core. Run the diagnostic at the start of a unit to baseline the class, then issue the summative at the end to measure growth on the same sub-skills.
💡Problem Solving and Scaffolded Questions
Question types cover ordered pairs, mapping diagrams, tables of values, vertical line test, function notation evaluation, and identifying domain and range from graphs. Both multiple-choice and short-response items are included, so the same assessment works for a low-stakes warm-up or a graded end-of-unit task.
Detailed Analytics
Detailed Analytics
Item-level analytics show which students mastered function notation, which are still confusing domain with range, and which are struggling with the vertical line test. Results are broken down per student and per sub-skill, so you can group students for re-teach without re-marking the paper.
Interactive Assessments
Interactive Assessments
Set assessments digitally and students complete them in class with auto-marking, or download a print-ready PDF for paper-based classes. The same item bank powers both formats, so digital and printed results sit in the same gradebook.
Planned Lessons With Data
Planned Lesson with Data
Once results come in, Tutero generates a lesson plan targeting the exact sub-skills the class missed - whether that is reading function notation, finding domain from a graph, or distinguishing one-to-one from many-to-one relations. The follow-up lesson is ready to teach the next day.
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What is covered in the functions and relations assessment?
Defining Functions and Relations
Items check whether students can identify a relation as a function using ordered pairs, mapping diagrams, tables, and the vertical line test. Common misconceptions - confusing input with output, or assuming every relation is a function - are surfaced by distractor analysis so you can address them in the follow-up lesson.
Function Notation, Domain and Range
Students evaluate expressions written in function notation (f(x), g(2), f(a+1)) and read domain and range from sets, tables, and graphs - including continuous functions where they need interval notation. Sub-skill scoring tells you whether the gap is notation, substitution, or reading graphs, so re-teach can be targeted rather than starting the unit again.
Graphing and Modelling Real Functions
Students graph linear, quadratic and piecewise functions, then interpret functions in context - distance-time, cost-quantity, temperature conversion. Each modelling question maps back to the same function-notation and domain-range sub-skills, so you can see whether students can apply what they know once the problem stops looking like a textbook question.
Explore Tutero’s range of assessments designed to accurately identify and address gaps in your student's understanding of functions and relations