Grades 6-8 Equation Progression SOL 7.12 SOL 8.17 SOL 6.13 Essential Knowledge and Skills Essential Knowledge and Skills Essential Knowledge and Skills The student will use problem solving, mathematical The student will use problem solving, mathematical The student will use problem solving, mathematical communication, mathematical reasoning, communication, mathematical reasoning, communication, mathematical reasoning, connections connections, and representations to connections, and representations to and representation to Represent and solve multistep linear Represent and solve two-step linear Identify examples of the following equations in one variable with the variable equations in one variable using a variety of algebraic vocabulary: equation, variable, on one or both sides of the equation (up to concrete materials and pictorial expression, term, and coefficient. four steps) using a variety of concrete representations. Represent and solve one-step linear materials and pictorial representations. Apply properties of real numbers and equations in one variable, using a variety Apply properties of real numbers and properties of equality to solve two-step of concrete materials such as colored properties of equality to solve multistep linear equations in one variable. chips, algebra tiles, or weights on a linear equations in one variable (up to four Coefficients and numeric terms will be balance scale. steps). Coefficients and numeric terms will rational. be rational. Equations may contain Apply properties of real numbers and expressions that need to be expanded (using properties of equality to solve a one-step Confirm algebraic solutions to linear the distributive property) or require equation in one variable. Coefficients are equations in one variable. collecting like terms to solve. limited to integers and unit fractions. Write verbal expressions and sentences as Numeric terms are limited to integers. Write verbal expressions and sentences as algebraic expressions and equations. algebraic expressions and equations. Confirm solutions to one-step linear Write algebraic expressions and equations Write algebraic expressions and equations equations in one variable. as verbal expressions and sentences. as verbal expressions and sentences. Write verbal expressions and sentences as Solve practical problems that require the Solve practical problems that require the algebraic expressions and equations. solution of a two-step linear equation. solution of a multistep linear equation. Write algebraic expressions and equations Confirm algebraic solutions to linear as verbal expressions and sentences. equations in one variable. Represent and solve a practical problem with a one-step linear equation in one variable.
Grades 6-8 Equation Progression SOL 6.13 SOL 7.12 SOL 8.17 Essential Knowledge and Skills Essential Knowledge and Skills Essential Knowledge and Skills The student will use problem solving, mathematical communication, mathematical reasoning, connections and representation to Identify examples of the following algebraic vocabulary: equation, variable, expression, term, and coefficient. Represent and solve one-step linear equations in one variable, using a variety of concrete materials such as colored chips, algebra tiles, or weights on a balance scale. Apply properties of real numbers and properties of equality to solve a one-step equation in one variable. Coefficients are limited to integers and unit fractions. Numeric terms are limited to integers. Confirm solutions to one-step linear equations in one variable. Write verbal expressions and sentences as algebraic expressions and equations. Write algebraic expressions and equations as verbal expressions and sentences. Represent and solve a practical problem with a one-step linear equation in one variable. The student will use problem solving, mathematical communication, mathematical reasoning, connections, and representations to Represent and solve two-step linear equations in one variable using a variety of concrete materials and pictorial representations. Apply properties of real numbers and properties of equality to solve two-step linear equations in one variable. Coefficients and numeric terms will be rational. Confirm algebraic solutions to linear equations in one variable. Write verbal expressions and sentences as algebraic expressions and equations. Write algebraic expressions and equations as verbal expressions and sentences. Solve practical problems that require the solution of a two-step linear equation. The student will use problem solving, mathematical communication, mathematical reasoning, connections, and representations to Represent and solve multistep linear equations in one variable with the variable on one or both sides of the equation (up to four steps) using a variety of concrete materials and pictorial representations. Apply properties of real numbers and properties of equality to solve multistep linear equations in one variable (up to four steps). Coefficients and numeric terms will be rational. Equations may contain expressions that need to be expanded (using the distributive property) or require collecting like terms to solve. Write verbal expressions and sentences as algebraic expressions and equations. Write algebraic expressions and equations as verbal expressions and sentences. Solve practical problems that require the solution of a multistep linear equation. Confirm algebraic solutions to linear equations in one variable.