Evidence of Student Vocabulary Knowledge Skills Instructional Achievement Level Descriptors Attainment/Assessment Students: Slope criteria for Students know: Students understand/are EEG-GPE.5-6. N/A (See EEG.CO.1) Given a line, parallel and able to: perpendicular lines Techniques to find the slope of a Create lines parallel to the line, Explain and justify given line and compare the conclusions reached slopes of parallel lines by Key features needed to solve regarding the slopes of examining the rise/run ratio of parallel and perpendicular geometric problems, each line, lines, Techniques for presenting a proof Create lines perpendicular to of geometric theorems. Apply slope criteria for the given line by rotating the parallel and perpendicular line 90 degrees and compare lines to accurately find the the slopes by examining the solutions of geometric rise/run ratio of each line, problems and justify the solutions, Use understandings of similar triangles and logical Communicate logical reasoning to prove that reasoning in a systematic parallel lines have equal way to present a slopes and the slopes of mathematical proof of perpendicular lines are geometric theorems. negative reciprocals. Modeling geometric figures or relationships on Given a geometric problem a coordinate graph assists involving parallel or in determining truth of a perpendicular lines, statement or theorem, Apply the appropriate slope Geometric theorems may criteria to solve the problem be proven or disproven by and justify the solution examining the properties of including finding equations of the geometric shapes in the lines parallel or perpendicular theorem through the use of to a given line. appropriate algebraic techniques.
Evidence of Student Attainment/Assessment Vocabulary Knowledge Skills Instructional Achievement Level Descriptors Students: Given a line, Create lines parallel to the given line and compare the slopes of parallel lines by examining the rise/run ratio of each line, Create lines perpendicular to the given line by rotating the line 90 degrees and compare the slopes by examining the rise/run ratio of each line, Use understandings of similar triangles and logical reasoning to prove that parallel lines have equal slopes and the slopes of perpendicular lines are negative reciprocals. Given a geometric problem involving parallel or perpendicular lines, Apply the appropriate slope criteria to solve the problem and justify the solution including finding equations of lines parallel or perpendicular to a given line. Slope criteria for parallel and perpendicular lines Students know: Techniques to find the slope of a line, Key features needed to solve geometric problems, Techniques for presenting a proof of geometric theorems. Students understand/are able to: Explain and justify conclusions reached regarding the slopes of parallel and perpendicular lines, Apply slope criteria for parallel and perpendicular lines to accurately find the solutions of geometric problems and justify the solutions, Communicate logical reasoning in a systematic way to present a mathematical proof of geometric theorems. Modeling geometric figures or relationships on a coordinate graph assists in determining truth of a statement or theorem, Geometric theorems may be proven or disproven by examining the properties of the geometric shapes in the theorem through the use of appropriate algebraic techniques. EEG-GPE.5-6. N/A (See EEG.CO.1)
Geometry-Pacing-Guide-Version-3.docx