Educator Resources

Math Sample Units


The NYCDOE’s Office of English Learners, in collaboration with Math Solutions and a selected group of educators, has developed three mathematics units of study to provide support for ELLs. The new Common Core Learning Standards present a challenge as well as an opportunity to our English Language Learners. In order to meet this challenge and embrace this opportunity, mathematics teachers must engage ELLs in high-quality instruction while providing the necessary support. These units are intended to model some of the strategies and scaffolds that should be utilized to provide access for ELLs. Incorporating the needs of ELLs into the design and implementation of all mathematics instruction is of paramount importance to the success of our community. We invite all NYC practitioners to implement these units while adapting them to meet the specific needs of their students.

We thank Math Solutions for their work writing the 5th and 6th grade units.  We also want to express special gratitude to a dedicated group of NYC educators, for their vision and work on the 3rd grade unit (Anne Auwinger, Leslie Hefez Catherine Rolon, Patricio Delgado, Carol Weiner, Rosalinda Finiguerra, Tina Larsen, Safaa Moustafa, and Fracine Palmer-Mulling). Special thanks, also, to Vincent Altamuro and Ken Priester for their intensive editing work.  For more information on these units, or to offer feedback, please contact either Miguel Cordero Mcordero@schools.nyc.gov or Dionisio Rodriguez DRodrig10@schools.nyc.gov

Grade 3
Unit: Fractions Are Numbers Too!
This unit outlines an introduction to fractions as numbers. Teachers may: a) use this unit outline as it is described below; b) integrate parts of it into an existing curriculum unit; or c) use it as a model.

Grade 5
Unit: Using Fractions in Everyday Life
Students will solve a multi-step real-life problem applying what they learned about fraction representations, equivalent fractions, and addition and subtraction of fractions, as well as demonstrate increased understanding and use of academic language about fractions.

Grade 6
Unit: Planning a Party with Ratios and Proportions 
Students will solve a multi-step real-life problem applying what they learned about ratios and proportional reasoning as well as demonstrate increased understanding and use of academic language about ratios and proportions.

Grade 7
Unit: Understanding Proportional Relationships 
This is a unit that focuses on the developing, understanding and applying proportional relationships. Students will learn to reason with proportions through the use of tables, diagrams, verbal descriptions, equations, and graphs. Students will use proportional relationships to solve real-world problems.