Linear Equations & Inequalities - Reporting Category 4
Linear functions. The student formulates equations and inequalities based on linear functions, uses a variety of methods to solve them, and analyzes the solutions in terms of the situation. The student formulates systems of linear equations from problem situations, uses a variety of methods to solve them, and analyzes the solutions in terms of the situation.
(A.7) Linear functions. The student formulates equations and inequalities based on linear functions, uses a variety of methods to solve them, and analyzes the solutions in terms of the situation. The student is expected to
(A) analyze situations involving linear functions and formulate linear equations or inequalities to solve problems; Supporting Standard
- Write a function rule: word problems (Algebra 1 - Q.10)
- Linear function word problems (Algebra 1 - S.9)
- Linear inequalities: word problems (Algebra 1 - T.4)
(B) investigate methods for solving linear equations and inequalities using [concrete] models, graphs, and the properties of equality, select a method, and solve the equations and inequalities; and Readiness Standard
- Model and solve equations using algebra tiles (Algebra 1 - J.1)
- Write and solve equations that represent diagrams (Algebra 1 - J.2)
- Solve one-step linear equations (Algebra 1 - J.3)
- Solve two-step linear equations (Algebra 1 - J.4)
- Solve advanced linear equations (Algebra 1 - J.5)
- Solve equations with variables on both sides (Algebra 1 - J.6)
- Identities and equations with no solutions (Algebra 1 - J.7)
- Solve linear equations: word problems (Algebra 1 - J.8)
- Solve linear equations: mixed review (Algebra 1 - J.9)
- Graph inequalities (Algebra 1 - K.1)
- Write inequalities from graphs (Algebra 1 - K.2)
- Identify solutions to inequalities (Algebra 1 - K.3)
- Solve one-step linear inequalities: addition and subtraction (Algebra 1 - K.4)
- Solve one-step linear inequalities: multiplication and division (Algebra 1 - K.5)
- Solve one-step linear inequalities (Algebra 1 - K.6)
- Graph solutions to one-step linear inequalities (Algebra 1 - K.7)
- Solve two-step linear inequalities (Algebra 1 - K.8)
- Graph solutions to two-step linear inequalities (Algebra 1 - K.9)
- Solve advanced linear inequalities (Algebra 1 - K.10)
- Graph solutions to advanced linear inequalities (Algebra 1 - K.11)
- Graph compound inequalities (Algebra 1 - K.12)
- Write compound inequalities from graphs (Algebra 1 - K.13)
- Solve compound inequalities (Algebra 1 - K.14)
- Graph solutions to compound inequalities (Algebra 1 - K.15)
- Does (x, y) satisfy the inequality? (Algebra 1 - T.1)
- Linear inequalities: solve for y (Algebra 1 - T.2)
- Graph a linear inequality in two variables (Algebra 1 - T.3)
- Linear inequalities: word problems (Algebra 1 - T.4)
(C) interpret and determine the reasonableness of solutions to linear equations and inequalities. Supporting Standard
- Identities and equations with no solutions (Algebra 1 - J.7)
- Identify solutions to inequalities (Algebra 1 - K.3)
- Does (x, y) satisfy the inequality? (Algebra 1 - T.1)
- Is (x, y) a solution to the system of equations? (Algebra 1 - U.1)
(A.8) Linear functions. The student formulates systems of linear equations from problem situations, uses a variety of methods to solve them, and analyzes the solutions in terms of the situation. The student is expected to
(A) analyze situations and formulate systems of linear equations in two unknowns to solve problems; Supporting Standard
- Solve a system of equations by graphing: word problems (Algebra 1 - U.3)
- Solve a system of equations using substitution: word problems (Algebra 1 - U.9)
- Solve a system of equations using elimination: word problems (Algebra 1 - U.11)
- Solve a system of equations using augmented matrices: word problems (Algebra 1 - U.13)
- Solve a system of equations using any method: word problems (Algebra 1 - U.15)
(B) solve systems of linear equations using [concrete] models, graphs, tables, and algebraic methods; and Readiness Standard
- Solve a system of equations by graphing (Algebra 1 - U.2)
- Solve a system of equations using substitution (Algebra 1 - U.8)
- Solve a system of equations using elimination (Algebra 1 - U.10)
- Solve a system of equations using augmented matrices (Algebra 1 - U.12)
- Solve a system of equations using any method (Algebra 1 - U.14)
(C) interpret and determine the reasonableness of solutions to systems of linear equations. Supporting Standard