In Algebra I, students have studied linear, exponential Examples and quadratic functions. As each function was explored, students were required to describe how the graph of the parent function f(x) was transformed algebraically to create a new function. Examples In 8th grade, students have developed an Understand In further mathematics students will apply their knowledge understanding that figures created by a series of congruence in of rigid motion to the study of application problems which reflections, translations and rotations are in fact terms of rigid deal with volume of three dimensional shapes. congruent. motions. In 8th grade, students have developed informal Develop and use Throughout the geometry course, students will have to arguments regarding the angles in a triangle as well the practice of continually prove geometric theorems as angles formed by parallel lines cut by a formal proof as a transversal. means of In later introductory statistics classes, students will be reasoning asked to defend their answers in a similar fashion to In 8th grade students were required to explain a proof geometric proof. of the Pythagorean Theorem but they were not actually required to prove the theorem. Later in college, some students develop Euclidean and non-Euclidean geometries carefully from a small set of In Algebra I, students have had prior experience with axioms. informal proofs to describe numerical relationships in the areas of polynomials, linear equations and In all other contents, students must defend their answers systems of equations. and this provides a discipline of structuring the defense (specifically in the field of law or sales in future careers). In 7th grade, students have had experience with Make geometric In future studies students must understand concepts of constructing triangles with three given measures. constructions congruence and how they are used by electronic tools to Students have also drawn geometric figures with create congruent figures. (Engineering courses, given conditions. construction courses etc.)
In Algebra I, students have studied linear, exponential and quadratic functions. As each function was explored, students were required to describe how the graph of the parent function f(x) was transformed algebraically to create a new function. Examples Examples In 8th grade, students have developed 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 have developed informal arguments regarding the angles in a triangle as well as angles formed by parallel lines cut by a transversal. In 8th grade students were required to explain a proof of the Pythagorean Theorem but they were not actually required to prove the theorem. In Algebra I, students have had prior experience with informal proofs to describe numerical relationships in the areas of polynomials, linear equations and systems of equations. Develop and use the practice of formal proof as a means of reasoning Throughout the geometry course, students will have to continually 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 and this provides a discipline of structuring the defense (specifically in the field of law or sales in future careers). In 7th grade, students have had experience with constructing triangles with three given measures. Students have also drawn geometric figures with given conditions. Make geometric constructions In future studies students must understand concepts of congruence and how they are used by electronic tools to create congruent figures. (Engineering courses, construction courses etc.)