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TechMAP

There are 22 modules currently available.

 Several carpentry problems related to circles are examined in this unit, including determining the size of a circular piece of stock when only part of it is visible and determining the lines of cut for a rafter. The primary mathematical topics in this unit are length relationships in a pair of intersecting chords, central angles, and inscribed angles. This module deals with power transmission in gears in the context of clock building. Mathematical topics include ratio, proportion, and direct and indirect variation. This module is a sequel to the Sound module. Primary mathematical topics include building and manipulating formulas, linear regression, and solving equations. This module is about project planning in the context of carpentry/construction. Topics include bin packing (stock cutting) and PERT/Gantt techniques. This module examines the intensity of sound transmitted through materials such as a glass window. The primary mathematical topics of this unit are exponents and logarithms. This module considers basic personal and small-business financial questions involving compound interest. The primary mathematical content is the exponential function. Both exponential growth and exponential decay are treated. This module asks which grain elevator a farmer should choose given transportation costs and the price paid for wheat at each elevator. The primary mathematical content of this unit is the hyperbola. This module provides students with basic tools for identifying types of simple variation in data and for writing appropriate variational equations. Students should be familiar with linear functions, positive and negative exponents, and linear regression on either a calculator or computer. This module is a basic introduction to the global positioning system. Mathematics includes basic distance relationships, angles, solid geometry relationships such as intersecting spheres, and latitude & longitude. Applications areas considered include trucking, agriculture, and recreation. * This module is a basic introduction to packaging, which is the third largest industry in the United States. Mathematics includes the geometry of surface area and volume of prisms, cylinders, cones, and pyramids and the construction of these solids from nets. A supplemental section features 20 related problems from various state high school mathematics exams. * This module is a review of basic algebra in the context of formulas from a variety of areas, including landscaping, cosmetology, and plumbing. Among the algebra concepts are evaluating expressions, commutative, associative, and distributive properties, and solving linear equations. A supplemental section features 29 related problems from various state high school mathematics exams. Connections to spreadsheets are included. * This module considers measurement, precision, and accuracy in a variety of contexts. Mathematical topics include mean, rounding, significant digits, perimeter, and area. This module provides good preparation for the module titled The Right Package. A supplemental section features 20 related problems from various state high school mathematics exams. This module examines motion in the contexts of speed skating and ski jumping. It is an introduction to radian measure, parametric representations, and modeling motion with trigonometric functions. This module's central question is: "How do carpenters and other builders create structures that won't fall down?" It examines the rigidity of simple polygons and rectangular grid systems. Minimum bracing and the placement of braces are explored. Mathematical topics include the Pythagorean formula, mathematical reasoning, and vertex-edge graphs. * The primary contextual setting of this module is robot paths (botpaths). Through the modeling criterion of maximizing distance from obstacles, the concepts of midpoint and perpendicular bisector are developed. Coordinate systems are introduced as a way to precisely describe locations of obstacles and robot paths, leading to discussions of slope, distance, and solving systems of linear equations. A supplemental section features 30 related problems from various state high school mathematics exams. * The primary mathematical content of this module is inequalities and their representations on number lines and in 2-dimensional graphs. The contextual setting is limiting statements found in documents such as building codes. This module also includes a collection of supplemental problems taken from various high school mathematics exams. This module is an introduction to right triangle trigonometry as it is used in several trades and professions. * This module investigates statistical techniques for extracting information from data. A variety of contexts are used, including health careers, automotive, sports, and student employment. Mathematical content includes mean, median, mode, range, frequency tables, bar charts, pie charts, stem-and-leaf plots, line plots, box plots, and graphing calculators. This module also includes a collection of supplemental problems taken from various high school mathematics exams. * This module treats sequences with additive growth (arithmetic sequences), multiplicative growth/decay (geometric sequences), mixed growth, and quadratic growth in the context of data found in everyday life (i.e., wood screw diameters, jewelry wire gauges). A brief introduction to exponential functions is included. This module also includes a collection of supplemental problems taken from various high school mathematics exams * This module is an introduction to similar figures as they occur in several trades. Areas and volumes of similar figures are included. This module also includes a collection of supplemental problems taken from various high school mathematics exams. * This module is an introduction to linear relationships as they occur in a variety of real-world situations. Mathematical content includes representations, rates of change, scatter plots, and regression. This module also includes a collection of supplemental problems taken from various high school mathematics exams. * This module examines probability in the context of reliability in manufacturing. Mathematical content includes experimental probability, conditional probability, mutually exclusive and independent events, addition and multiplication of probabilities, area models, and tree diagrams. This module also includes a collection of supplemental problems taken from various high school mathematics exams. * Denotes modules targeted at high-stakes tests. Each of these modules includes a supplemental section of problems taken from the MCAS or other state tests. These supplemental problems are related to the mathematical content of the module.