3rd Grade Math (Massachusetts Curriculum Frameworks)

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 Use properties of multiplication, including the identity property of 1, as strategies (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 fluently; know products of one-digit numbers and related division facts from memory.
• 3.OA.D.8 Solve two-step whole-number word problems with the four operations, with a letter for the unknown; check 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 part when a single unit is split into b equal 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 and Data (3.MD)

• 3.MD.A.1 Tell and write time to the minute and solve word problems about time intervals.
• 3.MD.A.2 Measure and estimate liquid volumes and masses in standard metric units and solve one-step problems.
• 3.MD.B.3 Draw scaled picture and bar graphs and solve "how many more/less" problems with them.
• 3.MD.B.4 Measure lengths to half and quarter inches and show the measurements on a dot plot.
• 3.MD.C.5 Recognize area as an attribute of flat shapes and understand area measurement.
  • a. A square with side 1 unit has an area of one square unit.
  • b. A shape covered by n unit squares without gaps or overlaps has an area of n square units.
• 3.MD.C.6 Find areas by counting unit squares, in standard (square cm, m, in, ft) or non-standard units.
• 3.MD.C.7 Relate area to multiplication and addition.
  • a. Tile a rectangle and show its area equals the product of its side lengths.
  • b. Multiply side lengths to find rectangle areas in real and math problems.
  • c. Use tiling to show the distributive property in area.
  • d. Find areas of rectilinear shapes by splitting them into rectangles.
• 3.MD.D.8 Solve perimeter problems, including unknown sides, and compare rectangles with equal perimeters or areas.

Geometry (3.G)

• 3.G.A.1 Classify shapes by sides and angles; know rhombuses, rectangles, squares and trapezoids are 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.