# Grade 6 Math Curriculum

## Family-facing version of the grade 6 Math curriculum

## Quarterly Overview of Grade 6 Mathematics

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

**Students will:**

- Create questions that need data collection, focusing on circle graphs.
- Figure out what data is needed to answer the question and collect the data using different methods (e.g., observing, measuring, surveys, experiments).
- Organize and show the data using circle graphs, with or without technology tools. Limit the number of data values so they can be easily compared (e.g., in a class of 20 students, if 7 like apples best, the comparison is 7 out of 20, 7/20, or 35%).
- Look at the data in the circle graph, make observations, and draw conclusions about what the data shows.
- Show the mean of a data set graphically as the balance point in a line plot.
- Determine the effect on the mean, median, mode, and range when a single value is added, removed, or changed.
- Identify outliers in data and determine their effect on statistical measures.

**Students will:**

- Identify and describe prime and composite numbers.
- Find the least common multiple and the greatest common divisor of two numbers.
- Represent a linear inequality from a graph on a number line using symbols.
- Write a linear inequality to represent a given constraint or condition from a graph on a number line.
- Create a real-life situation or graph for a given linear inequality in one variable.
- Use substitution or a number line graph to check if a number makes a linear inequality true.
- Identify values that are part of the solution set of a given inequality in one variable.

**Students will:**

- Compare and order positive rational numbers.
- Represent fractions, decimals, and percents as ratios.
- Show a relationship between two quantities using ratios.
- Represent a relationship in context using ratio notations (a/b, a

, a to b). - Show different comparisons within the same quantity or between different quantities.
- Describe a relationship in words for a given ratio.
- Create a table of equivalent ratios to represent a proportional relationship between two quantities.
- Create a table of equivalent ratios from a real-life situation to represent a proportional relationship.

**Students will:**

- Identify and label the axes, origin, and quadrants of a coordinate plane.
- Identify and describe the location of a point given as an ordered pair.
- Graph ordered pairs in all four quadrants of the coordinate plane.
- Identify ordered pairs represented by points in all four quadrants of the coordinate plane.
- Relate the coordinates of a point to the distance from each axis and to another point on the same line.
- Draw polygons in the coordinate plane given the coordinates of the vertices and determine the length of sides joining points with the same first or second coordinate. Solve related problems.
- Identify regular polygons.
- Draw lines of symmetry to divide regular polygons into two congruent parts.
- Determine if segments, angles, and polygons are congruent based on their properties.
- Decide if polygons are congruent based on the measures of their sides and angles.

**Students will:**

- Recognize and show patterns with whole number exponents.
- Recognize and show patterns of perfect squares up to 20220^2202 using visual models.
- Show if a number between 0 and 400 is a perfect square using models or reasoning.
- Recognize and show powers of 10 with whole number exponents by examining patterns in place value.
- Show addition, subtraction, multiplication, and division of integers using visual models.
- Add, subtract, multiply, and divide two integers.
- Simplify an expression with absolute value bars and an operation with two integers, and show the result on a number line.
- Estimate, solve, and explain single-step and multistep problems involving addition, subtraction, multiplication, and division with integers.

**Students will:**

- Show multiplication and division of fractions and mixed numbers using visual models.
- Multiply and divide fractions and mixed numbers with denominators of 12 or less. Express answers in simplest form.
- Explain the effect of multiplying or dividing a fraction, whole number, or mixed number by a number between zero and one.
- Estimate, solve, and explain single-step and multistep problems involving addition and subtraction with fractions and mixed numbers, including like and unlike denominators of 12 or less. Express answers in simplest form.

**Students will:**

- Identify the unit rate of a proportional relationship from a table, context, or graph.
- Find a missing value in a ratio table representing a proportional relationship using the unit rate.
- Determine if a proportional relationship exists between two quantities from a table, context, or graph.
- Given a real-life situation with a proportional relationship, find the unit rate and create a table or graph.
- Connect multiple representations (verbal descriptions, ratio tables, graphs) of the same proportional relationship.

**Students will:**

- Identify the unit rate of a proportional relationship from a table, context, or graph.
- Find a missing value in a ratio table representing a proportional relationship using the unit rate.
- Determine if a proportional relationship exists between two quantities from a table, context, or graph.
- Given a real-life situation with a proportional relationship, find the unit rate and create a table or graph.
- Connect multiple representations (verbal descriptions, ratio tables, graphs) of the same proportional relationship.

**Students will:**

- Identify and describe parts of a circle: chord, diameter, radius, circumference, and area.
- Explain the relationships between diameter and radius, radius and circumference, and diameter and circumference.
- Find an approximation for pi (3.14) by comparing the circumference to the diameter of different circles using models.
- Develop the formula for circumference using the relationships between diameter, radius, and pi.
- Solve problems involving the circumference and area of a circle given the diameter or radius.
- Develop the formula for the area of parallelograms and triangles using visual models.
- Solve problems involving the perimeter and area of triangles and parallelograms.

**Students will:**

- Formulate questions that require collecting data for circle graphs.
- Determine and collect the data needed to answer a question using various methods (e.g., observations, surveys).
- Ensure the data collected is representative of a larger population.
- Organize and represent data using circle graphs.
- Analyze data in circle graphs by making observations and drawing conclusions.
- Compare data in circle graphs to data in other graphs and justify which graph best represents the data.
- Show the mean of a data set graphically as the balance point in a line plot.
- Determine the effect on the mean, median, mode, and range when a single value is added, removed, or changed.
- Identify outliers in data and determine their effect on statistical measures.

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

## Virginia Department of Education Resources

## 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.