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.

Week 1Week 2Week 3 Week 4Week 5Week 6 Week 7Week 8Week 9

## Units and Details

### Unit 1: Ratios

Students will:

• Represent relationships between quantities using ratios, and will use appropriate notations, such as 𝑎/𝑏, a to b, and a:b.
• Represent and determine equivalencies among fractions, mixed numbers, decimals, and percents.
• Determine the unit rate of a proportional relationship and use it to find a missing value in a ratio table.

### Unit 2: Fractions and Decimals

Students will:

• Multiply and divide fractions and mixed numbers.
• Solve single-step and multistep practical problems involving addition, subtraction, multiplication, and division of fractions and mixed numbers.
• Solve multistep practical problems involving addition, subtraction, multiplication, and division of decimals.

### Unit 3: Rational Numbers and Exponents

Students will:

• Compare and order positive rational numbers.
• Identify and represent integers.
• Compare and order integers.
• Identify and describe the absolute value of integers.
• Recognize and represent patterns with whole number exponents and perfect squares.

### Unit 4: Integer Operations

Students will:

• Identify and represent integers.
• Identify and describe the absolute value of integers.
• Add, subtract, multiply, and divide integers.
• Solve practical problems involving operations with integers.

### Unit 5: Coordinate Plane and Congruence

Students will:

• Identify the components of the coordinate plane.
• Identify the coordinates of a point and graph ordered pairs in a coordinate plane.
• Determine congruence of segments, angles, and polygons.

### Unit 6: Expressions, Equations, and Inequalities

Students will:

• Simplify numerical expressions involving integers.
• Solve one-step linear equations in one variable, including practical problems that require the solution of a one-step linear equation in one variable.
• Represent a practical situation with a linear inequality in one variable.
• Solve one-step linear inequalities in one variable, involving addition or subtraction, and graph the solution on a number line.

### Unit 7: Proportions

Students will:

• Represent a proportional relationship between two quantities, including those arising from practical situations.
• Determine whether a proportional relationship exists between two quantities.
• Make connections between and among representations of a proportional relationship between two quantities using verbal descriptions, ratio tables, and graphs.

### Unit 8: Circles and Geometric Measurement

Students will:

• Derive π (pi).
• Solve problems, including practical problems, involving circumference and area of a circle.
• Solve problems, including practical problems, involving area and perimeter of triangles and rectangles.

### Unit 9: Data Distributions

Students will:

• Given a practical situation, represent data in a circle graph.
• Given a practical situation, make observations and inferences about data represented in a circle graph.
• Given a practical situation, compare circle graphs with the same data represented in bar graphs, pictographs, and line plots.
• Represent the mean of a data set graphically as the balance point.
• Determine the effect on measures of center when a single value of a data set is added, removed, or changed.

### Unit 10: Moving Forward and Digging Deeper

In this unit, teachers will provide differentiated opportunities for students to review previous content and explore content at a deeper level.

## 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), fifth grade tests focus on measuring content knowledge and skill development.