Grade 3 Math (New York Next Generation)

Operations and Algebraic Thinking

• Represent and solve problems involving multiplication and division
• NY-3.OA.1 Interpret a product as the total in a number of equal groups, with a real-world example.
• NY-3.OA.2 Interpret a whole-number quotient as equal sharing or as the number of equal groups.
• NY-3.OA.3 Solve multiplication and division word problems within 100 using drawings and equations.
• NY-3.OA.4 Find the unknown whole number in a multiplication or division equation relating three numbers.
• Understand properties of multiplication and the relationship between multiplication and division
• NY-3.OA.5 Apply properties of operations (e.g. commutative, associative, distributive) as strategies to multiply and divide.
• NY-3.OA.6 Understand division as an unknown-factor problem.
• Multiply and divide within 100
• NY-3.OA.7a Fluently solve single-digit multiplication and related divisions using strategies and known relationships.
• NY-3.OA.7b Know from memory all products of two one-digit numbers by the end of grade 3.
• Solve problems involving the four operations, and identify and extend patterns in arithmetic
• NY-3.OA.8 Solve two-step word problems with whole numbers using the four operations.
• NY-3.OA.8a Represent problems with an equation or expressions using a letter for the unknown.
• NY-3.OA.8b Check answers for reasonableness with mental computation, estimation and rounding.
• NY-3.OA.9 Identify and extend arithmetic patterns, e.g. in addition and multiplication tables.

Number and Operations in Base Ten

• Use place value understanding and properties of operations to perform multi-digit arithmetic
• NY-3.NBT.2 Fluently add and subtract within 1000 using strategies and algorithms based on place value and properties.
• NY-3.NBT.4a Understand the digits of a four-digit number as thousands, hundreds, tens and ones.
• NY-3.NBT.4b Read and write four-digit numbers using numerals, number names and expanded form.

Number and Operations - Fractions

• Develop understanding of fractions as numbers
• NY-3.NF.1 Understand unit fractions and fractions a/b as equal parts of a partitioned whole (denominators 2, 3, 4, 6, 8).
• NY-3.NF.2 Understand a fraction as a number on the number line.
• NY-3.NF.2a Represent a unit fraction on a number line from 0 to 1 split into equal parts.
• NY-3.NF.2b Represent a fraction a/b by marking off a lengths of 1/b from 0.
• NY-3.NF.3 Explain equivalence of fractions and compare fractions by reasoning about their size.
• NY-3.NF.3a Understand two fractions as equivalent if they are the same size or the same point on a number line.
• NY-3.NF.3b Recognize and generate simple equivalent fractions and explain why with a visual model.
• NY-3.NF.3c Express whole numbers as fractions and recognize fractions equal to whole numbers.
• NY-3.NF.3d Compare two fractions with the same numerator or denominator by reasoning about size, and justify.

Measurement and Data

• Solve problems involving measurement and estimation of intervals of time, liquid volumes, and masses of objects
• NY-3.MD.1 Tell and write time to the nearest minute and measure time intervals; solve one-step elapsed-time problems.
• NY-3.MD.2a Measure and estimate liquid volumes and masses using grams, kilograms and liters.
• NY-3.MD.2b Solve one-step word problems with masses or volumes given in the same units.
• Represent and interpret data
• NY-3.MD.3 Draw scaled picture and bar graphs and solve one- and two-step comparison problems with them.
• NY-3.MD.4 Measure lengths to the nearest half and quarter inch and show the data on a line plot.
• Geometric measurement: understand concepts of area and relate area to multiplication and to addition
• NY-3.MD.5 Recognize area as an attribute of plane figures measured with unit squares.
• NY-3.MD.5a A unit square (side length 1 unit) has one square unit of area and can measure area.
• NY-3.MD.5b A figure covered by n unit squares with no gaps or overlaps has an area of n square units.
• NY-3.MD.6 Measure areas by counting unit squares (square cm, m, in, ft and improvised units).
• NY-3.MD.7 Relate area to the operations of multiplication and addition.
• NY-3.MD.7a Find the area of a rectangle by tiling and show it equals multiplying the side lengths.
• NY-3.MD.7b Multiply side lengths to find areas of rectangles in real-world and mathematical problems.
• NY-3.MD.7c Use area models (tiling) to show the distributive property.
• NY-3.MD.7d Find areas of shapes made of non-overlapping rectangles by adding their areas.
• Geometric measurement: recognize perimeter as an attribute of plane figures and distinguish between linear and area measures
• NY-3.MD.8a Solve problems about perimeters of polygons, including finding an unknown side length.
• NY-3.MD.8b Identify rectangles with the same perimeter and different areas, or the same area and different perimeters.

Geometry

• Reason with shapes and their attributes
• NY-3.G.1 Recognize and classify polygons by their number of sides and vertices, including irregular polygons.
• NY-3.G.2 Partition shapes into parts with equal areas and express each part as a unit fraction of the whole.