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This is a printable version of the entire unit plan. You can make a copy of it and edit it or download and print it as needed.

Chunk a graph to use the relationships between distances on a graph to estimate the value of a zero of the graph.

Use sentences that describe different ways the rate of change is changing to zoom in on features of a function.

Compare tables and graphs of polynomials to make connections between the intercepts and end behaviour between the two representations.

After this unit, how prepared are your students for the end-of-course Regents examination?  The end of unit assessment is designed to surface how students understand the mathematics in the unit.  It includes spiralled multiple choice and constructed response questions, comparable to those on the end-of-course Regents examination.  A rich task, that allows for multiple entry points and authentic assessment of student learning, may be available for some units and can be included as part of the end of unit assessment.  All elements of the end of unit assessment are aligned to the NYS Mathematics Learning Standards and PARCC Model Frameworks prioritization. 

For each card students are given two representations and explain how they are the same function. Then they complete the other representations that are missing so that each card will end up with:
1. situation
2. formula
3. graph
4. table
5. function family 

A Classroom Challenge (aka formative assessment lesson) is a classroom-ready lesson that supports formative assessment. The lesson’s approach first allows students to demonstrate their prior understandings and abilities in employing the mathematical practices, and then involves students in resolving their own difficulties and misconceptions through structured discussion.

This page contains instructions on how to use the initial task, Sorting Functions, to find out what your students already know about finding relationships between graphs, equations, tables, and rules.

Students will connect reflecting a function on a graph to creating the inverse function of the function.

This is a multi-day resource to support students in understanding different methods for determining if two functions are inverses and how each of those methods are related.  

Students will use the chunks of a polynomial function to describe its key features.