The objectives and outcomes for each unit are common across FCPS and based on the Virginia Standards of Learning. The pacing by quarter and by week provides an example of how the curriculum can be organized throughout the year. Teacher teams may adjust the pacing or order of units to best meet the needs of students.

## Units and Details

### Unit 1: Addition and Subtraction Part 1

Students will:

• Read, write, and identify the place and value of each digit in a four-digit whole number, with and without models.
• Round whole numbers, 999 or less, to the nearest ten and hundred.
• Compare and order whole numbers, each 999 or less.
• Estimate and determine the sum or difference of two whole numbers.
• Create and solve single-step and multistep practical problems involving sums or differences of two whole numbers, each 999 or less.
• Determine the value of a collection of bills and coins whose total value is \$5.00 or less.
• Compare the value of two sets of coins and bills.
• Make change from \$5.00 or less.
• Create equations to represent equivalent mathematical relationships.

### Unit 2: Multiplication and Division Part 1

Students will:

• Represent multiplication and division through 10 × 10, using a variety of approaches and models.
• Create and solve single-step practical problems that involve multiplication and division through 10 x 10.
• Identify, describe, create, and extend patterns found in objects, pictures, numbers, and tables.
• Create equations to represent equivalent mathematical relationships.

### Unit 3: Fractions Part 1

Students will:

• Name and write fractions and mixed numbers represented by a model.
• Represent fractions and mixed numbers with models and symbols.
• Compare fractions having like and unlike denominators, using words and symbols (>, <, =, or ≠), with models.
• Compare and order fractions and mixed numbers, with and without models.
• Represent equivalent fractions.
• Identify the division statement that represents a fraction, with models and in context.

### Unit 4: Addition and Subtraction Part 2

Students will:

• Read, write, and identify the place and value of each digit in a nine-digit whole number.
• Compare and order whole numbers expressed through millions.
• Round whole numbers expressed through millions to the nearest thousand, ten thousand, and hundred thousand.
• Estimate and determine sums and differences of whole numbers (numbers each 999,999 or less).
• Create and solve single-step and multistep practical problems involving addition and subtraction with whole numbers.
• Identify, describe, create, and extend patterns found in objects, pictures, numbers, and tables (numerical).
• Recognize and demonstrate the meaning of equality in an equation.

### Unit 5: Decimals

Students will:

• Read, write, represent, and identify decimals expressed through thousandths.
• Round decimals to the nearest whole number.
• Compare and order decimals.
• Given a model, write the decimal and fraction equivalents.
• Add and subtract with decimals.
• Solve single-step and multistep practical problems involving addition and subtraction with decimals.
• Recognize and demonstrate the meaning of equality in an equation.

### Unit 6: Multiplication and Division Part 2

Students will:

• Demonstrate fluency with multiplication facts through 12 x 12, and the corresponding division facts.
• Estimate and determine products of whole numbers (1 digit × 1 digit and 1 digit × 2 digits).
• Estimate and determine quotients of whole numbers, with and without remainders (1 digit divisor and 2 digit dividend).
• Create and solve single-step and multistep practical problems involving multiplication and single-step practical problems involving division with whole numbers.
• Determine common multiples and factors, including least common multiple and greatest common factor.
• Identify, describe, create, and extend patterns found in objects, pictures, numbers, and tables (numerical).
• Recognize and demonstrate the meaning of equality in an equation.

### Unit 7: Fractions Part 2

Students will:

• Given a model, write the decimal and fraction equivalents.
• Add and subtract fractions and mixed numbers having like and unlike denominators.
• Solve single-step practical problems involving addition and subtraction with fractions and mixed numbers.
• Identify, describe, create, and extend patterns found in objects, pictures, numbers, and tables (numerical).
• Recognize and demonstrate the meaning of equality in an equation.

### Unit 8: Geometry

Students will:

• Define polygon.
• Identify and name polygons with 10 or fewer sides.
• Combine and subdivide polygons with three or four sides and name the resulting polygon(s).
• Identify and describe congruent and noncongruent figures.
• Identify and describe points, lines, line segments, rays, and angles, including endpoints and vertices.
• Identify and describe intersecting, parallel, and perpendicular lines.
• Identify, describe, compare, and contrast plane and solid figures according to their characteristics (number of angles, vertices, edges, and the number and shape of faces) using concrete models and pictorial representations.
• Classify quadrilaterals as parallelograms, rectangles, squares, rhombi, and/or trapezoids.
• Identify, describe, create, and extend patterns found in objects, pictures, numbers, and tables (geometric).

### Unit 9: Measurement

Students will:

• Solve practical problems that involve determining perimeter and area in U.S. Customary and metric units.
• Estimate and measure length and describe the result in U.S. Customary and metric units.
• Estimate and use U.S. Customary and metric units to measure liquid volume in cups, pints, quarts, gallons, and liters.
• Estimate and measure the distance around a polygon in order to determine its perimeter using U.S. Customary and metric units.
• Estimate and count the number of square units needed to cover a given surface in order to determine its area.
• Estimate and measure weight/mass and describe the result in U.S. Customary and metric units.
• Given the equivalent measure of one unit, identify equivalent measures of length, weight/mass, and liquid volume between units within the U.S. Customary system.
• Solve practical problems that involve length, weight/mass, and liquid volume in U.S. Customary units.
• Read temperature to the nearest degree.

### Unit 10: Data and Probability

Students will:

• Collect, organize, and represent data in pictographs or bar graphs.
• Read and interpret data represented in pictographs and bar graphs.
• Investigate and describe the concept of probability as a measurement of chance and list possible outcomes for a single event.
• Determine the likelihood of an outcome of a simple event.
• Represent probability as a number between 0 and 1, inclusive.
• Create a model or practical problem to represent a given probability.
• Collect, organize, and represent data in bar graphs and line graphs.
• Interpret data represented in bar graphs and line graphs.
• Compare two different representations of the same data (e.g., a set of data displayed on a chart and a bar graph, a chart and a line graph, or a pictograph and a bar graph).

### Unit 11: Time

Students will:

• Tell time to the nearest minute, using analog and digital clocks.
• Solve practical problems related to elapsed time in one-hour increments within a 12-hour period.
• Identify equivalent periods of time and solve practical problems related to equivalent periods of time.
• Solve practical problems related to elapsed time in hours and minutes within a 12-hour period.

### Unit 12: Multiplication and Division Part 3

Students will:

• Estimate and determine products of whole numbers (2 digits × 2 digits).
• Estimate and determine quotients of whole numbers, with and without remainders (1 digit divisor and 3 digit dividend).
• Create and solve single-step and multistep practical problems involving multiplication and single-step practical problems involving division with whole numbers.
• Identify, describe, create, and extend patterns found in objects, pictures, numbers, and tables (numerical).
• Recognize and demonstrate the meaning of equality in an equation.

## Assessments

Student assessments are part of the teaching and learning process.

• Teachers give assessments to students on an ongoing basis to
• Check for understanding
• Gather information about students' knowledge or skills.
• Assessments provide information about a child's development of knowledge and skills that can help families and teachers better plan for the next steps in instruction.

For testing questions or additional information about how schools and teachers use test results to support student success, families can contact their children's schools.

In Fairfax County Public Schools (FCPS), grade 3 tests focus on measuring content knowledge and skill development.