Previous Math Courses Geometry Unit 1 Future Mathematics Concepts developed in previous mathematics Key Concept(s) Concepts that a student will study either later in course/units which serve as a foundation for the Geometry or in future mathematics courses for which development of the this will be a foundation. “Key Concept” “Key Concept” In 8th grade, students: Experiment with In Algebra II and further mathematics, students will: transformations in verify experimentally the properties of study additional functions. As each function is the plane. rotations, translations and reflections. explored, students will be required to describe how the graph of the parent function f(x) is transformed describe effects of transformations in the algebraically to create a new function. coordinate plane. Examples In Algebra I, students: study linear, exponential and quadratic functions. describe how the graph of the parent function f(x) is transformed algebraically to create a new function. Examples In 8th grade, students: Understand In further mathematics students will: congruence in develop an understanding that figures created apply their knowledge of rigid motion to the study of terms of rigid by a series of reflections, translations and application problems which deal with volume of motions. rotations are in fact congruent. three dimensional shapes. In 8th grade, students: Develop and use Throughout the geometry course, students will : the practice of develop informal arguments regarding the continue to prove geometric theorems. formal proof as a angles in a triangle as well as angles formed In later introductory statistics classes, students will: means of by parallel lines cut by a transversal. be asked to defend their answers in a similar reasoning fashion to geometric proof. In 8th grade students : explain a proof of the Pythagorean Theorem Later in college, some students develop Euclidean and but they were not actually required to prove non-Euclidean geometries carefully from a small set of the theorem. axioms. In Algebra I, students: In all other contents, students must defend their answers
Previous Math Courses Geometry Unit 1 Future Mathematics Concepts developed in previous mathematics course/units which serve as a foundation for the development of the “Key Concept” Key Concept(s) Concepts that a student will study either later in Geometry or in future mathematics courses for which this “Key Concept” will be a foundation. In 8th grade, students: verify experimentally the properties of rotations, translations and reflections. describe effects of transformations in the coordinate plane. In Algebra I, students: study linear, exponential and quadratic functions. describe how the graph of the parent function f(x) is transformed algebraically to create a new function. Examples Experiment with transformations in the plane. In Algebra II and further mathematics, students will: study additional functions. As each function is explored, students will be required to describe how the graph of the parent function f(x) is transformed algebraically to create a new function. Examples In 8th grade, students: develop an understanding that figures created by a series of reflections, translations and rotations are in fact congruent. Understand congruence in terms of rigid motions. In further mathematics students will: apply their knowledge of rigid motion to the study of application problems which deal with volume of three dimensional shapes. In 8th grade, students: develop informal arguments regarding the angles in a triangle as well as angles formed by parallel lines cut by a transversal. In 8th grade students : explain a proof of the Pythagorean Theorem but they were not actually required to prove the theorem. In Algebra I, students: Develop and use the practice of formal proof as a means of reasoning Throughout the geometry course, students will : continue to prove geometric theorems. In later introductory statistics classes, students will: be asked to defend their answers in a similar fashion to geometric proof. Later in college, some students develop Euclidean and non-Euclidean geometries carefully from a small set of axioms. In all other contents, students must defend their answers
Geometry_Unit_Plan_for_Unit_1_Congruence_Proofs_and_Constructions_Jan_4.docx