(5) The student understands the role of trigonometry in spatial Unit 4: Trigonometry in Spatial Applications applications. The student is expected to: (A) apply trigonometric ratios, including sine, cosine, and In this unit, students will select appropriate tools such as real objects, manipulatives, paper and tangent, to spatial problems; and (B) determine the distance and height of remote objects pencil, and technology and techniques such as using trigonometry. mental math, estimation, and number sense to solve problems. Students will effectively apply trigonometric ratios, including sine, cosine, and tangent, to spatial problems. (6) The student understands the concepts of design processes with Unit 5: Multi-View Computer-Aided Drafting and multi-view computer-aided drafting and design drawings for Design facilities layouts, precision part design, process design, injection mold design, and computer-aided manufacturing, as applied to Students will use mathematical relationships to processes using 3D printing, laser cutting, and computer generate solutions and make connections and numerical control. The student is expected to: predictions. In this unit, students will engage in (A) determine a dimension of an object given a scaled activities such as analyzing mathematical drawing having no dimensions; relationships to determine a dimension of an (B) compare and contrast the function of production time object given a scaled drawing having no and production rate; dimensions, create a method to determine the (C) calculate and apply the proper cycle time and analyze direction of a gear train's output shaft, and design a gate size in an injection mold system machines required to meet a specified production rate; (D) demonstrate the calculation and application of output using the gate width and depth formulas. shaft speed and torque in a gear train; (E) create a method to determine the direction of a gear train's output shaft; (F) design a spur gear train given speed and torque requirements;
Unit 4: Trigonometry in Spatial Applications In this unit, students will select appropriate tools such as real objects, manipulatives, paper and pencil, and technology and techniques such as mental math, estimation, and number sense to solve problems. Students will effectively apply trigonometric ratios, including sine, cosine, and tangent, to spatial problems. (5) The student understands the role of trigonometry in spatial applications. The student is expected to: (A) apply trigonometric ratios, including sine, cosine, and tangent, to spatial problems; and (B) determine the distance and height of remote objects using trigonometry. Unit 5: Multi-View Computer-Aided Drafting and Design Students will use mathematical relationships to generate solutions and make connections and predictions. In this unit, students will engage in activities such as analyzing mathematical relationships to determine a dimension of an object given a scaled drawing having no dimensions, create a method to determine the direction of a gear train's output shaft, and design a gate size in an injection mold system using the gate width and depth formulas. (6) The student understands the concepts of design processes with multi-view computer-aided drafting and design drawings for facilities layouts, precision part design, process design, injection mold design, and computer-aided manufacturing, as applied to processes using 3D printing, laser cutting, and computer numerical control. The student is expected to: (A) determine a dimension of an object given a scaled drawing having no dimensions; (B) compare and contrast the function of production time and production rate; (C) calculate and apply the proper cycle time and analyze machines required to meet a specified production rate; (D) demonstrate the calculation and application of output shaft speed and torque in a gear train; (E) create a method to determine the direction of a gear train's output shaft; (F) design a spur gear train given speed and torque requirements;
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