Linear Equations and Inequalities in Two Variables

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.

Students will focus on what the quantities mean in systems and how the solutions to systems involving equality and inequality can be represented in multiple different ways.

This Core Resource aims to support students in using substitution and elimination to solve systems of equations. Additionally, students will see that the solutions to systems of equations or inequalities must satisfy each equation or inequality in the system.

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.

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.

Re-engagement means going back to a familiar problem or task and looking at it again in different ways, with a new lens, or going deeper into the mathematics. This is often done by showing examples of student work and providing prompts to help students think about the mathematical ideas differently. This guide provides more information on how to design re-engagement lessons for your students, which you can use at any time during a unit, where you think it will be helpful for students to revisit a specific mathematical idea before moving on.

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. 

This Performance Task can be used as the Part IV item of the Algebra I Unit 4 End of Unit Assessment. Buying Chips and Candy can provide additional information about how students apply their understanding of systems of equations.

Quiz Banker creates student-ready editable quiz and answer documents based on an item bank of over 2500 NY state exam questions.

This link takes you to the New Visions Cloudlab, where you can get the Quiz Banker add-on and watch videos about how to use this Google Sheets tool (note: you need to add Quiz Banker to your Google tools once; if you have previously installed the add-on, it appears in the "Add-ons" menu in Google Sheets).