3rd Grade Math (New Jersey NJSLS)

Operations and Algebraic Thinking (3.OA)

• 3.OA.A.1 Interpret a product such as 5 × 7 as the total in 5 groups of 7 objects.
• 3.OA.A.2 Interpret a whole-number quotient as the size of each share or as the number of equal groups.
• 3.OA.A.3 Solve word problems within 100 about equal groups, arrays and measures by multiplying or dividing.
• 3.OA.A.4 Work out the missing whole number in a three-number multiplication or division equation, e.g. 8 × ? = 48.
• 3.OA.B.5 Apply properties such as commutative, associative and distributive to multiply and divide (names not required).
• 3.OA.B.6 Understand division as an unknown-factor problem, e.g. 32 ÷ 8 as "what times 8 makes 32?".
• 3.OA.C.7 Multiply and divide within 100 accurately and efficiently; know all products of two one-digit numbers from memory by the end of grade 3.
• 3.OA.D.8 Solve two-step word problems with the four operations using equations with a letter for the unknown; check answers for reasonableness.
• 3.OA.D.9 Find patterns in arithmetic, including in addition and multiplication tables, and explain them with properties of operations.

Number and Operations in Base Ten (3.NBT)

• 3.NBT.A.1 Round whole numbers to the nearest ten or hundred using place value.
• 3.NBT.A.2 Add and subtract within 1000 accurately and efficiently using place value, properties and related strategies.
• 3.NBT.A.3 Multiply single-digit numbers by 10, 20, … 90 using place value and properties.

Number and Operations—Fractions (3.NF)

• 3.NF.A.1 Understand a unit fraction 1/b as one of b equal parts of a whole and a/b as a of those parts (denominators 2, 3, 4, 6, 8).
• 3.NF.A.2 See fractions as numbers with their own place on a number line.
  • a. Show 1/b on a number line by splitting 0 to 1 into b equal parts.
  • b. Show a/b on a number line by marking off a lengths of 1/b from 0.
• 3.NF.A.3 Explain simple cases of equal fractions and compare fractions by thinking about their size.
  • a. Two fractions are equivalent if they are the same size or at the same point on a number line.
  • b. Recognize and make simple equivalent fractions and explain why they are equal using models.
  • c. Write whole numbers as fractions and recognize fractions equal to whole numbers.
  • d. Compare two fractions that share a numerator or a denominator and record with >, = or <.

Measurement (3.M)

• 3.M.A.1 Tell and write the time to the minute and solve word problems about elapsed time in minutes.
• 3.M.A.2 Measure and estimate liquid volumes and masses in grams, kilograms and liters and solve one-step problems with them.
• 3.M.B.3 Recognize area as an attribute of flat shapes and understand measuring area with unit squares.
  • a. A square with side length 1 unit has an area of one square unit.
  • b. A shape covered by n unit squares with no gaps or overlaps has an area of n square units.
• 3.M.B.4 Measure areas by counting unit squares in standard units (square cm, m, in, ft) and non-standard units.
• 3.M.B.5 Relate area to multiplication and addition.
  • a. Tile a rectangle with unit squares and show the area equals the product of its side lengths.
  • b. Find rectangle areas by multiplying side lengths in real and math problems.
  • c. Use tiling and area models to show a × (b + c) = a × b + a × c (distributive property).
  • d. Find areas of rectilinear shapes by splitting them into rectangles and adding the areas.
• 3.M.C.6 Solve perimeter problems, including finding an unknown side, and compare rectangles with equal perimeters or equal areas.

Data Literacy (3.DL)

• 3.DL.A.1 Write questions that can be answered with data and decide what data would answer them.
• 3.DL.A.2 Collect data about students' own lives or use existing data sets to answer questions.
• 3.DL.B.3 Draw scaled picture and bar graphs for several categories and solve "how many more/less" problems with them.
• 3.DL.B.4 Measure lengths to the nearest half and quarter inch and show the data on a line plot.

Geometry (3.G)

• 3.G.A.1 Know shapes in different categories share attributes; recognize rhombuses, rectangles and squares as quadrilaterals.
• 3.G.A.2 Split shapes into parts with equal areas and name each part's area as a unit fraction of the whole.