Grade 5 - PARCC Key Advances, Fluency Expectations, Within-Grade Dependencies
PARCC Key Advances, Fluency Expectations, Within-Grade Dependencies
PARCC Key Advances
In grade 5, students will integrate decimal fractions more fully into the place value system (5.NBT.1–4). By thinking about decimals as sums of multiples of base-ten units, students begin to extend algorithms for multidigit operations to decimals (5.NBT.7).
Students use their understanding of fraction equivalence and their skill in generating equivalent fractions as a strategy to add and subtract fractions, including fractions with unlike denominators.
Students apply and extend their previous understanding of multiplication to multiply a fraction or whole number by a fraction (5.NF.4). They also learn the relationship between fractions and division, allowing them to divide any whole number by any nonzero whole number and express the answer in the form of a fraction or mixed number (5.NF.3). And they apply and extend their previous understanding of multiplication and division to divide a unit fraction by a whole number or a whole number by a unit fraction.
Students extend their grade 4 work in finding whole-number quotients and remainders to the case of two-digit divisors (5.NBT.6).
Students continue their work in geometric measurement by working with volume as an attribute of solid figures and as a measurement quantity (5.MD.3–5).
Students build on their previous work with number lines to use two perpendicular number lines to define a coordinate system (5.G.1–2).
PARCC Fluency Expectations
5.NBT.5 Students fluently multiply multidigit whole numbers using the standard algorithm.
PARCC Examples of Major Within-Grade Dependencies
Understanding that in a multidigit number, a digit in one place represents 1/10 of what it represents in the place to its left (5.NBT.1) is an example of multiplying a quantity by a fraction (5.NF.4).