a triangle by drawing an auxiliary line from a vertex Reason abstractly perpendicular to the opposite side. and quantitatively. Essential Skills and Knowledge Ability to make connections between the formulaand Construct viable right triangle trigonometry arguments and critique the reasoning of others. G.SRT.10 (+) Prove the Laws of Sines and Cosines and use them Model with to solve problems. mathematics. Essential Skills and Knowledge Use appropriate Ability to recognize when it is appropriate to use the tools Law of Sines and the Law of Cosines strategically. Attend to precision. G.SRT.11 (+) Understand and apply the Law of Sines and the Law of Cosines to find unknown measurements in right and Look for and make non-right triangles (e.g., surveying problems, resultant forces). use of structure. Essential Skills and Knowledge Look for and express regularity in repeated See the skills and knowledge that are stated in the reasoning. Standard. Unit 3: Extending to Three Dimensions Students’ experience with two-dimensional and three-dimensional objects is extended to include informal explanations of circumference, area and volume formulas. Additionally, students apply their knowledge of two-dimensional shapes to consider the shapes of cross-sections and the result of rotating a two-dimensional object about a line. Unit 3: Extending to Three Dimensions
a triangle by drawing an auxiliary line from a vertex perpendicular to the opposite side. Essential Skills and Knowledge Ability to make connections between the formulaand right triangle trigonometry G.SRT.10 (+) Prove the Laws of Sines and Cosines and use them to solve problems. Essential Skills and Knowledge Ability to recognize when it is appropriate to use the Law of Sines and the Law of Cosines G.SRT.11 (+) Understand and apply the Law of Sines and the Law of Cosines to find unknown measurements in right and non-right triangles (e.g., surveying problems, resultant forces). Essential Skills and Knowledge See the skills and knowledge that are stated in the Standard. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Use appropriate tools strategically. Attend to precision. Look for and make use of structure. Look for and express regularity in repeated reasoning. Unit 3: Extending to Three Dimensions Students’ experience with two-dimensional and three-dimensional objects is extended to include informal explanations of circumference, area and volume formulas. Additionally, students apply their knowledge of two-dimensional shapes to consider the shapes of cross-sections and the result of rotating a two-dimensional object about a line. Unit 3: Extending to Three Dimensions
GeometryFramework.docx