New York City Math Tasks and Units-Formative Assessment


Grades K-2


Students will explore plants, including their attributes and growth cycle, over the course of one month or longer. This interdisciplinary unit on plants consists of 4 sequence learning plans. Each activity or learning plan works best with a small group of 4-5 students, in centers, over the course of one week. Duration of student engagement in tasks will vary, but the recommendation for each activity is 20 minutes or less. This Common Core-aligned task for mathematics is to be used in correlation with the Common Core-aligned task for literacy, Plants Are All Around Us.


Books on Shelves is the culminating task in a multi-week unit focused on operations and algebraic thinking. Students demonstrate mastery by completing the Books on Shelves task in one class period.


This packet contains a curriculum-embedded CCLS aligned task and instructional supports. The task is embedded in a 2-3 week unit on Number and Operations in Base 10. The mathematics of the unit involves understanding the meaning of base ten and using that understanding to solve number and real life problems. Students will use a variety of tools to help articulate understanding of base ten and to solve problems using addition and subtraction of numbers less than 10, less than 20 and on to less than 100.


This 4-5 week unit is designed to introduce students to the operations of addition and subtraction, and to provide students the opportunity to apply these operations. Throughout the unit, students will model by counting all or taking away, and counting on. Guided practice with these methods will lead to growth in Grade 1 and fluency and precision in Grade 2.


The mathematics of the unit involves understanding the meaning of base ten and using that understanding to solve number and real life problems. The number line is used as a tool to help articulate understanding of base ten and to solve problems using addition and subtraction of numbers less than one hundred. The big idea is for students to understand and use groups of ten. Strategies will involve applying number properties including distributive, associative, and commutative.




Grades 3-5


This packet contains a curriculum-embedded CCLS aligned task and instructional supports. The task is embedded in a 4-5 week unit on interpreting and linking representations, modeling situations, solving non-routine problems and justifying arguments of multiplication and division.


This instructional bundle contains a task aligned to the Content Core standards and additional supports for diverse learners. The task is embedded in a 4-5 week unit on understanding concepts of area and relating area to multiplication and addition.


This approximately 4-week unit centers around understanding fractional parts of a whole and using fractions and mixed numbers to solve problems.


In this unit students will develop and expand the concept of rational numbers by using several interpretations and different types of physical models.



This packet contains a curriculum-embedded CCLS aligned task and instructional supports. The task, Time for Recess, has been designed to give a thorough understanding of multiplication of fractions, using both an area model and the algorithm.




Grades 6-8


This 4-5 week unit focuses on developing an understanding of ratio concepts and using ratio reasoning to solve problems.






This is a 3-4 week unit that focuses on identifying and using unit rates. It also develops students’ understanding of proportional relationships represented in equations and graphs. Students use proportional relationships to solve multi-step ratio and percent problems.



The sequence of tasks asks students to represent and interpret proportional relationships graphically and algebraically.



This unit builds directly from prior work on proportional reasoning in 6th and 7th grades, and extends the ideas more formally into the realm of algebra.



This packet contains a curriculum-embedded Common Core standards aligned task and instructional supports. The task is embedded in a three week unit on systems of linear equations. This unit builds on previous 6th and 7th grade units on Expressions and Equations: translating verbal expressions and equations to algebraic representations and solving equations containing one variable. The unit provides students with the opportunity to deepen their understanding of the representation and connections of real world situations in various forms: equations, tables, and graphs. Furthermore, this unit allows students to determine if and when two or more equations in context have a solution algebraically and graphically.



This packet contains a curriculum-embedded Common Core–aligned task and instructional supports. The task is embedded in a 2–3 week unit on proportional relationships, linear equations, and slopes. In this unit, students will build on previous work with proportional relationships and unit rates. Students will deepen their understanding of functions and linear equations.