Benchmark 3: Week 5 of the spring semester

• Standard 14.0* Students solve a quadratic equation by factoring or completing the square.
• Standard 19.0* Students know the quadratic formula and its proof by completing the square.
  
• Standard 20.0* Students use the quadratic formula to find the roots of a second-degree polynomial and to solve quadratic equations.
  
• Standard 21.0* Students graph quadratic functions and know that their roots are the x-intercepts.
• Standard 23.0* Students apply quadratic equations to physical problems, such as the motion of an object under the force of gravity.
• Vocabulary: quadratic, degree, factoring, foil, binomial, quadratic formula

Benchmark 4: Week 11 of the spring semester

• Standard 12.0* Students simplify fractions with polynomials in the numerator and denominator by factoring both and reducing them to the lowest terms.
  
• Standard 13.0* Students add, subtract, multiply, and divide rational expressions and functions to solve computationally and conceptually challenging problems.
  
• Standard 15.0* Students apply algebraic techniques to solve rate problems, work problems, and percent mixture problems.
• Vocabulary: fraction busters, LCM, simplify, reduce, common factors

Spring Final (This test is cumulative, covering the new material below and all Benchmarks)

• Standard 11.0 Students apply basic factoring techniques to second- and simple third-degree polynomials including finding the greatest common monomial, recognizing the difference of squares, and recognizing perfect squares of binomials.
• Standard 16.0 Students understand the concepts of relation and function, determine
  whether a given relation is a function, and give relevant information about given relations and functions.
• Standard 17.0 Students determine the domain of independent variables and the range of
  dependent variables defined by a graph, a set of ordered pairs, or a symbolic expression.
  
• Standard 18.0 Students determine whether a relation defined by a graph, a set of ordered pairs, or a symbolic expression is a function and justify the conclusion.
• Vocabulary: relationship, function, domain, range

Go to Benchmarks ~ Fall Semester