Algebra+1+Standards


 * 2.0 Students understand and use such operations as taking the opposite, reciprocal, rasing to a power, and taking a root. This includes the understanding and use of the rules of exponents.
 * 4.0 Students simplify expressions prior to solving linear equations and inequalities in one variable such as 3(2x-5) + 4(x-2) = 12.
 * 5.0 Students solve multi-step problems, including word problems, involving linear equations and linear inequalities in one variable, with justification of each step.
 * 6.0 Students graph a linear equation, and compute the x-and y-intercepts (e.g., graph 2x+6y=4). They are also able to sketch the region defined by linear inequality (e.g., sketch the region defined by 2x+6y<4).
 * 7.0 Students verify that a point lies on a line given an equation of the line. Students are able to derive linear equations using the point-slope formula.
 * 8.0 Students understand the concepts of parallel and perpendicular lines and how their slopes are related. Students are able to find the equation of a line perpendicular to a given line that passes through a given point.
 * 9.0 Students solve a system of two linear equations in two variables algebraically, and are able to interpret the answer graphically. Students are able to use this to solve a system of two linear inequalities in two variables, and to sketch the solution sets.
 * 10.0 Students add, subtract, multiply and divide monomials and polynomials. Students solve multistep problems, including word problems, using these techniques.
 * 11.0 Students apply basic factoring techniques to second and simple third degree polynomials. These techniques include finding a common factor to all of the terms in a polynomial and recognizing the difference of two squares, and recognizing perfect squares of binomials.
 * 12.0 Students simplify fractions with polynomials in the numerator and denominator by factoring both and reducting to lowest terms.
 * 13.0 Students add, subtract, multiply, and divide rational expressions and functions. Students solve both computationally and conceptually challenging problems using these techniques.
 * 14.0 Students solve a quadratic equation by factoring or completing the square.
 * 15.0 Students apply algebraic techniques to rate problems, work problems, and percent mixture problems.
 * 19.0 Students know the quadratic formula and are familiar with its proof by completing the square.
 * 20.0 Students use the quadratic formula to find the roots of a second degree polynomial and to solve quadratic equations.
 * 21.0 Students graph quadratic functions and know that their roots are the x-intercepts.
 * 23.0 Students apply quadratic equations to physical problems such as motion of an object under the force of gravity.