SOL Math Review

Virginia Standards of Learning (2016): Grade 6 IXL Skill Plan

(NS) Number and Number Sense IXL

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

• 1. Write a ratio
• 2. Write a ratio using a fraction
• 3. Write a ratio: word problems

NS.6.2 The student will

NS.6.2.a represent and determine equivalencies among fractions, mixed numbers, decimals, and percents; and

Equivalent fractions

• 1. Equivalent fractions review
• 2. Write fractions in lowest terms
• 3. Convert between improper fractions and mixed numbers

Conversions

• 4. Convert fractions to decimals
• 5. Convert decimals to fractions
• 6. Convert between decimals and fractions
• 7. Convert between decimals and mixed numbers
• 8. Convert fractions to percents using grid models
• 9. Convert between percents, fractions, and decimals

NS.6.2.b compare and order positive rational numbers.

Decimals

• 1. Put decimal numbers in order
• 2. Inequalities with decimals

Fractions

• 3. Compare fractions with like and unlike denominators

Rational numbers

• 4. Put a mix of decimals and fractions in order
• 5. Put a mix of decimals, fractions, and mixed numbers in order
• 6. Compare percents to each other and to fractions

NS.6.3 The student will

NS.6.3.a identify and represent integers;

• 1. Understanding integers
• 2. Integers on number lines
• 3. Graph integers on horizontal and vertical number lines
• 4. Understanding opposite integers

NS.6.3.b compare and order integers; and

• 1. Compare integers
• 2. Put integers in order

NS.6.3.c identify and describe absolute value of integers.

• 1. Absolute value
• 2. Absolute value and integers: word problems

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

• 1. Write multiplication expressions using exponents
• 2. Write powers of ten with exponents
• 3. Square roots of perfect squares

(CE) Computation and Estimation

CE.6.5 The student will

CE.6.5.a multiply and divide fractions and mixed numbers;

Multiply with models

• 1. Multiply two fractions using models

Fractions of whole numbers

• 2. Fractions of whole numbers I
• 3. Fractions of whole numbers II

Multiply fractions

• 4. Multiply two fractions
• 5. Multiply three or more fractions and whole numbers
• 6. Multiply mixed numbers and whole numbers
• 7. Multiply mixed numbers
• 8. Multiply three or more mixed numbers, fractions, and/or whole numbers

Divide with models

• 9. Divide whole numbers by unit fractions using models

Divide fractions

• 10. Divide whole numbers and unit fractions
• 11. Divide fractions
• 12. Divide fractions and mixed numbers

CE.6.5.b solve single-step and multistep practical problems involving addition, subtraction, multiplication, and division of fractions and mixed numbers; and

Add and subtract

• 1. Add and subtract fractions with like denominators: word problems
• 2. Add and subtract fractions with unlike denominators: word problems
• 3. Add and subtract mixed numbers: word problems
• 4. Maps with fractional distances

Multiplication

• 5. Multiply fractions: word problems
• 6. Multiply mixed numbers: word problems

Division

• 7. Divide fractions by whole numbers in recipes
• 8. Divide fractions and mixed numbers: word problems

Mixed operations

• 9. Add, subtract, multiply, or divide two fractions: word problems

CE.6.5.c solve multistep practical problems involving addition, subtraction, multiplication, and division of decimals.

• 1. Maps with decimal distances

CE.6.6 The student will

CE.6.6.a add, subtract, multiply, and divide integers;

Add and subtract with counters

• 1. Add integers using counters
• 2. Subtract integers using counters

Add and subtract

• 3. Add integers
• 4. Subtract integers
• 5. Add and subtract integers: find the sign
• 6. Add and subtract integers: input/output tables
• 7. Add three or more integers

Multiply and divide

• 8. Multiply integers: find the sign
• 9. Multiply integers
• 10. Divide integers: find the sign
• 11. Divide integers

Mixed operations

• 12. Add, subtract, multiply, or divide two integers

CE.6.6.b solve practical problems involving operations with integers; and

• 1. Add, subtract, multiply, or divide two whole numbers: word problems

CE.6.6.c simplify numerical expressions involving integers.

• 1. Add three or more integers
• 2. Evaluate numerical expressions involving integers

(MG) Measurement and Geometry

MG.6.7 The student will

MG.6.7.a derive π (pi);

MG.6.7.b solve problems, including practical problems, involving circumference and area of a circle; and

• 1. Circles: calculate area, circumference, radius, and diameter
• 2. Circles: word problems
• 3. Area between two circles

MG.6.7.c solve problems, including practical problems, involving area and perimeter of triangles and rectangles.

Rectangles and squares

• 1. Area of rectangles and squares
• 2. Area between two rectangles
• 3. Rectangles: relationship between perimeter and area

Triangles

• 4. Area of triangles
• 5. Area between two triangles

MG.6.8 The student will

MG.6.8.a identify the components of the coordinate plane; and

• 1. Quadrants

MG.6.8.b identify the coordinates of a point and graph ordered pairs in a coordinate plane.

• 1. Objects on a coordinate plane
• 2. Graph points on a coordinate plane

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

• 1. Identify and classify polygons
• 2. Line symmetry
• 3. Similar and congruent figures

(PS) Probability and Statistics

PS.6.10 The student, given a practical situation, will

PS.6.10.a represent data in a circle graph;

PS.6.10.b make observations and inferences about data represented in a circle graph; and

• 1. Interpret circle graphs

PS.6.10.c compare circle graphs with the same data represented in bar graphs, pictographs, and line plots.

PS.6.11 The student will

PS.6.11.a represent the mean of a data set graphically as the balance point; and

PS.6.11.b determine the effect on measures of center when a single value of a data set is added, removed, or changed.

• 1. Changes in mean, median, mode, and range

(PFA) Patterns, Functions, and Algebra

PFA.6.12 The student will

PFA.6.12.a represent a proportional relationship between two quantities, including those arising from practical situations;

Equivalent ratios

• 1. Identify equivalent ratios
• 2. Write an equivalent ratio
• 3. Ratio tables

Equivalent rates

• 4. Unit rates
• 5. Equivalent rates

PFA.6.12.b determine the unit rate of a proportional relationship and use it to find a missing value in a ratio table;

• 1. Ratio tables
• 2. Unit rates
• 3. Unit rates: word problems

PFA.6.12.c determine whether a proportional relationship exists between two quantities; and

• 1. Do the ratios form a proportion?
• 2. Identify proportional relationships from graphs
• 3. Identify proportional relationships from tables

PFA.6.12.d make connections between and among representations of a proportional relationship between two quantities using verbal descriptions, ratio tables, and graphs.

• 1. Identify proportional relationships by graphing
• 2. Interpret graphs of proportional relationships

PFA.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.

Solutions to equations

• 1. Does x satisfy an equation?
• 2. Which x satisfies an equation?

Use models

• 3. Model and solve equations using algebra tiles
• 4. Write and solve equations that represent diagrams

Solve equations

• 5. Solve one-step addition and subtraction equations with whole numbers
• 6. Solve one-step multiplication and division equations with whole numbers
• 7. Solve one-step equations with whole numbers
• 8. Solve equations involving integers

Word problems

• 9. Solve one-step equations: word problems

PFA.6.14 The student will

PFA.6.14.a represent a practical situation with a linear inequality in one variable; and

PFA.6.14.b solve one-step linear inequalities in one variable, involving addition or subtraction, and graph the solution on a number line.

• 1. Graph inequalities on number lines
• 2. Write inequalities from number lines