6.1       6.2       6.3       6.4       6.5       6.6 

6.7       6.8       6.9       6.10       6.11       6.12 

6.13       6.14 

Number and Number Sense

6.1                  The student will represent relationships between quantities using ratios, and will use appropriate notations, such as , a to b, and a:b.

6.2                  The student will

a)    represent and determine equivalencies among fractions, mixed numbers, decimals, and percents; and

b)    compare and order positive rational numbers.

6.3                  The student will

a)    identify and represent integers;

b)    compare and order integers; and

c)    identify and describe absolute value of integers.

6.4                  The student will recognize and represent patterns with whole number exponents and perfect squares.

Computation and Estimation

6.5                  The student will

a)    multiply and divide fractions and mixed numbers; 

b)    solve single-step and multistep practical problems involving addition, subtraction, multiplication, and division of fractions and mixed numbers; and

c)       solve multistep practical problems involving addition, subtraction, multiplication, and division of decimals.

6.6                  The student will

a)       add, subtract, multiply, and divide integers;

b)      solve practical problems involving operations with integers; and

c)       simplify numerical expressions involving integers.

Measurement and Geometry

6.7                  The student will

a)    derive π (pi);

b)    solve problems, including practical problems, involving circumference and area of a circle; and

c)    solve problems, including practical problems, involving area and perimeter of triangles and rectangles.

6.8                  The student will

a)    identify the components of the coordinate plane; and

b)    identify the coordinates of a point and graph ordered pairs in a coordinate plane.

6.9                  The student will determine congruence of segments, angles, and polygons.

                         OpenUp Lesson: What is the Same? (free account required)

                         OpenUp Lesson: Congruent Polygons (free account required)

                    EngageNY Lesson on Regular Polygons

                    CommonCoreSheets - Scroll down to Identifying Regular and Irregular Polygons 

                         (additional directions: if it is a regular polygon, draw a line of symmetry to divide it into two congruent parts)

                    CommonCoreSheets: Scroll down to Determining Symmetry

                         (additional directions: Label all shapes that appear to be regular polygons)

                    CommonCoreSheets: Scroll down to Identifying Similar and Congruent Shapes

                    Congruent Angles

Probability and Statistics

6.10                The student, given a practical situation, will

a)    represent data in a circle graph;

b)    make observations and inferences about data represented in a circle graph; and

c)    compare circle graphs with the same data represented in bar graphs, pictographs, and line plots.

6.11                The student will

a)    represent the mean of a data set graphically as the balance point; and

b)      determine the effect on measures of center when a single value of a data set is added, removed, or changed.

Patterns, Functions, and Algebra

6.12                The student will

a)       represent a proportional relationship between two quantities, including those arising from practical situations; 

b)      determine the unit rate of a proportional relationship and use it to find a missing value in a ratio table

c)      determine whether a proportional relationship exists between two quantities; and

d)       make connections between and among representations of a proportional relationship between two quantities using verbal descriptions, ratio tables, and graphs.

CommonCoreSheets: Ratios

6.13                The student will solve one-step linear equations in one variable, including practical problems that require the solution of a one-step linear equation in one variable.

 6.14               The student will

a)       represent a practical situation with a linear inequality in one variable; and

b)      solve one-step linear inequalities in one variable, involving addition or subtraction, and graph the solution on a number line.

Virginia Department of Education © September, 2016