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This Core Resource allows students to deepen their understanding of systems of equations by looking at student work samples and applying what they know to contextual problems.

Students will use the relationships between equations to solve for two variables.

Students will use the structure of a system of three visual equations to find the value of a variable.

The goal of these activities is to support students in understanding how to identify quantities and relationships within various situations and use those quantities and relationships to create equations, tables of values, and graphs, then use those representations to solve problems related to the situations.

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. 

Use the structure of a set of systems of equations to find relationships between the equations and to use those relationships to find the value of a variable in the system.

Use the structure of a system of equations to match it to another equivalent system of equations.

The objective is to focus on the relationship between the type of situation and a graph, in particular how the situation defines the constraints and type of expected solution, and how this constraint is represented in the graph.

Use the structure of a set of graphs and tables representing systems of equations to make matches between the graphs and tables.

Use the structure of an diagram to find a solution to a graphical systems of equations that is hidden from view.

This page contains instructions on how to use Picking Apples as the Unit 4 initial task to find out what your students already know about finding costs from given rules.

Connect what students know about number lines to substituting into an system of equations.