In grade 3, instructional time will emphasize four areas:

(1) adding and subtracting multi-digit whole numbers, including using a standard algorithm;

(2) building an understanding of multiplication and division, the relationship between them and the connection to area of rectangles;

(3) developing an understanding of fractions and

(4) extending geometric reasoning to lines and attributes of quadrilaterals.

Number Sense and Operations

MA.3.NSO.1 Understand the place value of four-digit numbers.

MA.3.NSO.1.1: Read and write numbers from 0 to 10,000 using standard form, expanded form and word form.

MA.3.NSO.1.2: Compose and decompose four-digit numbers in multiple ways using thousands, hundreds, tens and ones. Demonstrate each composition or decomposition using objects, drawings and expressions or equations.

MA.3.NSO.1.3: Plot, order and compare whole numbers up to 10,000.

MA.3.NSO.1.4: Round whole numbers from 0 to 1,000 to the nearest 10 or 100.

MA.3.NSO.2 Add and subtract multi-digit whole numbers. Build an understanding of multiplication and division operations.

MA.3.NSO.2.1: Add and subtract multi-digit whole numbers including using a standard algorithm with procedural fluency.

MA.3.NSO.2.2: Explore multiplication of two whole numbers with products from 0 to 144, and related division facts.

MA.3.NSO.2.3: Multiply a one-digit whole number by a multiple of 10, up to 90, or a multiple of 100, up to 900, with procedural reliability.

MA.3.NSO.2.4: Multiply two whole numbers from 0 to 12 and divide using related facts with procedural reliability.

**Fractions**

MA.3.FR.1 Understand fractions as numbers and represent fractions.

MA.3.FR.1.1: Represent and interpret unit fractions in the form 1/π as the quantity formed by one part when a whole is partitioned into n equal parts.

MA.3.FR.1.2: Represent and interpret fractions, including fractions greater than one, in the form of π/π as the result of adding the unit fraction 1/π to itself π times.

MA.3.FR.1.3: Read and write fractions, including fractions greater than one, using standard form, numeral-word form and word form.

MA.3.FR.2 Order and compare fractions and identify equivalent fractions.

MA.3.FR.2.1: Plot, order and compare fractional numbers with the same numerator or the same denominator.

MA.3.FR.2.2: Identify equivalent fractions and explain why they are equivalent.

**Algebraic Reasoning**

MA.3.AR.1 Solve multiplication and division problems.

MA.3.AR.1.1: Apply the distributive property to multiply a one-digit number and two-digit number. Apply properties of multiplication to find a product of one-digit whole numbers.

MA.3.AR.1.2: Solve one- and two-step real-world problems involving any of four operations with whole numbers.

MA.3.AR.2 Develop an understanding of equality and multiplication and division.

MA.3.AR.2.1: Restate a division problem as a missing factor problem using the relationship between multiplication and division.

MA.3.AR.2.2: Determine and explain whether an equation involving multiplication or division is true or false.

MA.3.AR.2.3: Determine the unknown whole number in a multiplication or division equation, relating three whole numbers, with the unknown in any position.

MA.3.AR.3 Identify numerical patterns, including multiplicative patterns.

MA.3.AR.3.1: Determine and explain whether a whole number from 1 to 1,000 is even or odd.

MA.3.AR.3.2: Determine whether a whole number from 1 to 144 is a multiple of a given one-digit number.

MA.3.AR.3.3: Identify, create and extend numerical patterns.

**Measurement**

MA.3.M.1 Measure attributes of objects and solve problems involving measurement.

MA.3.M.1.1: Select and use appropriate tools to measure the length of an object, the volume of liquid within a beaker and temperature.

MA.3.M.1.2: Solve real-world problems involving any of the four operations with whole-number lengths, masses, weights, temperatures or liquid volumes.

MA.3.M.2 Tell and write time and solve problems involving time.

MA.3.M.2.1: Using analog and digital clocks tell and write time to the nearest minute using a.m. and p.m. appropriately.

MA.3.M.2.2: Solve one- and two-step real-world problems involving elapsed time.

**Geometric Reasoning**

MA.3.GR.1 Describe and identify relationships between lines and classify quadrilaterals.

MA.3.GR.1.1: Describe and draw points, lines, line segments, rays, intersecting lines, perpendicular lines and parallel lines. Identify these in two-dimensional figures.

MA.3.GR.1.2: Identify and draw quadrilaterals based on their defining attributes. Quadrilaterals include parallelograms, rhombi, rectangles, squares and trapezoids.

MA.3.GR.1.3: Draw line(s) of symmetry in a two-dimensional figure and identify line symmetric two-dimensional figures.

MA.3.GR.2 Solve problems involving the perimeter and area of rectangles.

MA.3.GR.2.1: Explore area as an attribute of a two-dimensional figure by covering the figure with unit squares without gaps or overlaps. Find areas of rectangles by counting unit squares.

MA.3.GR.2.2: Find the area of a rectangle with whole-number side lengths using a visual model and a multiplication formula.

MA.3.GR.2.3: Solve mathematical and real-world problems involving the perimeter and area of rectangles with whole-number side lengths using a visual model and a formula.

MA.3.GR.2.4: Solve mathematical and real-world problems involving the perimeter and area of composite figures composed of non-overlapping rectangles with whole-number side lengths.

**Data Analysis and Probability**

MA.3.DP.1 Collect, represent and interpret numerical and categorical data.

MA.3.DP.1.1: Collect and represent numerical and categorical data with whole-number values using tables, scaled pictographs, scaled bar graphs or line plots. Use appropriate titles, labels and units.

MA.3.DP.1.2: Interpret data with whole-number values represented with tables, scaled pictographs, circle graphs, scaled bar graphs or line plots by solving one- and two-step problems.