Asst. Superintendent, Ed. Services
Data Management Support
This course will familiarize students with manipulating numbers and equations and help them understand the general principles at work. Students will understand and use factoring of numerators and denominators and properties of exponents. Students will know the Pythagorean theorem and solve problems in which they compute the length of an unknown side. They will know how to compute the surface area and volume of basic three-dimensional objects and understand how area and volume change with a change in scale. Students will convert between units of measurement. They will know and use different representations of fractional numbers (fractions, decimals, and percents). Students will use ratio and proportion to solve problems, compute percents of increase and decrease, and compute simple and compound interest. They will graph linear functions and understand the idea of slope and its relation to ratio.
Symbolic reasoning and calculations with symbols are central in algebra. Through the study of algebra, a student develops an understanding of the symbolic language of mathematics and the sciences. In addition, algebraic skills and concepts are developed and used in a wide variety of problem-solving situations. Students identify and use the arithmetic properties of subsets of integers and rational, irrational, and real numbers. They determine whether a relation defined by a graph, a set of ordered pairs, or a symbolic expression is a function and justify the conclusion. Students use properties of the number system to judge the validity of results, to justify each step of a procedure, and to prove or disprove statements. Students understand and use such operations as taking the opposite, finding the reciprocal, taking a root, and raising to a fractional power. They understand and use the rules of exponents.
In this course students develop their ability to construct formal, logical arguments and proofs in geometric settings and problems. They identify and give examples of undefined terms, axioms, theorems, and inductive and deductive reasoning. They know and use the triangle inequality theorem and measures of sides and interior and exterior angles of triangles and polygons to classify figures and solve problems. Students know, derive, and solve problems involving the perimeter, circumference, area, volume, lateral area, and surface area of common geometric figures.