Evidence of Student Vocabulary Knowledge Skills Instructional Achievement Level Descriptors Attainment/Assessment Students: Directed line segment Students know: Students understand/are EEG-GPE.5-6. N/A (See EEG.CO.1) Given two points and a ratio able to: that partitions the segment Partitions Techniques for finding the between the points, distance between two points and Accurately find the distance the equation of a line passing between two points and the Construct a circle using one through two points, equation of a line passing of the given points as the through two points, center and the distance Forms for writing the equation of a between the points as the circle dependent on the Accurately find the equation radius, information given to find the of a dilation of a circle, equation of the dilation of a circle, Construct a dilation of the Find the intersection circle using the given ratio as Techniques to find the intersection point(s) of a line and a the scale factor and find the between a line and a circle. circle. intersection between the dilation and the equation of A radius of a circle may be the line passing through the used to show the distance given points, between two points, Justify and explain the A dilation of a circle may be reasons for each step in the used to partition a line process of finding a point that segment by making it the partitions a segment in a radius, in a given ratio. given ratio.
Evidence of Student Attainment/Assessment Vocabulary Knowledge Skills Instructional Achievement Level Descriptors Students: Given two points and a ratio that partitions the segment between the points, Construct a circle using one of the given points as the center and the distance between the points as the radius, Construct a dilation of the circle using the given ratio as the scale factor and find the intersection between the dilation and the equation of the line passing through the given points, Justify and explain the reasons for each step in the process of finding a point that partitions a segment in a given ratio. Directed line segment Partitions Students know: Techniques for finding the distance between two points and the equation of a line passing through two points, Forms for writing the equation of a circle dependent on the information given to find the equation of the dilation of a circle, Techniques to find the intersection between a line and a circle. Students understand/are able to: Accurately find the distance between two points and the equation of a line passing through two points, Accurately find the equation of a dilation of a circle, Find the intersection point(s) of a line and a circle. A radius of a circle may be used to show the distance between two points, A dilation of a circle may be used to partition a line segment by making it the radius, in a given ratio. EEG-GPE.5-6. N/A (See EEG.CO.1)
Geometry-Pacing-Guide-Version-3.docx