The third grade year is a significant step forward in the mathematical journey, with students tackling multiplication and division for the first time and also diving headlong into the world of fractions. Third grade also marks the first year of formalized math assessment through the end of year PSSA exam. In addition to the Pennsylvania Core math standards that have been present since kindergarten, the 3rd grade year introduces big picture assessment anchors, along with anchor descriptors that add a level of specificity to the anchor. Each anchor descriptor also contains eligible content, which is the most specific level of skills and content available for reference.
In numbers and operations, the content is split out into sub categories of "Numbers and Operations in Base Ten" and "Numbers and Operations - Fractions." In base ten, students will be using place value understanding and properties of operations to perform multi-digit arithmetic (M-03.A-T.1; CC.2.1.3.B.1 ), while in fractions students will focus on developing an understanding of fractions as numbers (M03.A-F.1; CC.2.1.3.C.1 ).
In algebraic concepts, students will be representing and solving problems that involve multiplication and division (M03.B-O.1; CC.2.2.3.A.1 ). They will also begin developing an understanding of multiplication and the relationship between multiplication and division (M.03.B-O.2; CC.2.2.3.A.2 ). Additionally, students will be working on solving problems that involve the four operations of addition, subtraction, multiplication, and division while identifying and explaining patterns in arithmetic (M.03.B-O.3; CC.2.2.3.A.4 ).
In geometry, students will be focusing on their ability to reason with shapes and their attributes (M03.C-G.1; CC.2.3.3.A.1; CC.2.3.3.A.2 ).
In data analysis and probability, students will be focused on several key areas. They will be solving problems that involve measurement and estimation of intervals of time, money, liquid volumes, masses, and lengths of objects (M03.D-M.1; CC.2.4.3.A.1; CC.2.4.3.A.2; CC.2.4.3.A.3). Students will also be representing and interpreting data (M03.D-M.2; CC.2.4.3.A.4). Additionally, students will be learning about the concept of area and how it relates to multiplication and addition (M03.D-M.3; CC.2.4.3.A.5). Lastly, students will be learning to recognize perimeter as an attribute of plane figures and working to distinguish between linear and area measures (M03.D-M.4; CC.2.4.3.A.6).