Mathematics

The problems are in a blackline master format, generally four items to a page, and in 18- or 24-point type for easy use as overhead transparencies. They are organized according to the Comprehensive Test criteria.

The document is organized in six sections and each is available for downloading as a PDF file.

Introduction (76K)

Goal 1 (140K): This strand will focus on performing operations, solving problems, and representing mathematical relationships using real numbers.
1.01 The learner will perform operations with real numbers.
1.02 The learner will solve problems involving number theory.
1.03 The learner will use ratios, proportions, and percents to solve problems.

Goal 2 (176K): This strand will focus on describing, defining, and using the properties of plane and solid figures and solving related problems and using methods and systems of measurement, both direct and indirect, customary and metric, and solving related problems.
2.01 The learner will solve geometric problems using two- and three-dimensional shapes.
2.02 The learner will use properties of angles, lines, and planes to solve problems.
2.03 The learner will understand and use perimeter, area, and volume formulas to solve problems.
2.04 The learner will solve problems using triangle relationships.
2.05 The learner will transform polygons in the coordinate plane.

Goal 3 (248K): This strand will focus on using the language of algebra to express numerical, geometric and problem-based relationships and solve related problems and modeling, graphing and exploring data sets and functions including those involving linear, quadratic and exponential relations and solve related problems.
3.01 The learner will use the language of algebra and formulas to solve problems.
3.02 The learner will demonstrate an understanding of relations and functions.
3.03 The learner will graph and use linear equations and inequalities.
3.04 The learner will solve problems that involve nonlinear equations.
3.05 The learner will use an appropriate method to solve problems involving systems of equations and inequalities.
3.06 The learner will perform operations with polynomials.

Goal 4 (128K): This strand will focus on using statistical methods, analysis and relationships to collect, organize and describe data and communicate the results and determining the probability of simple and compound events and solve related problems.
4.01 The learner will use statistics to analyze and solve real-world problems.
4.02 The learner will use probability to solve real-world problems.
4.03 The learner will fit a line or curve to a set of data and use this line or curve to make predictions about data.

Answer Key (132K)