system. In Algebra I, students: graph functions on the coordinate plane. solve systems of linear equations graphically. In Geometry Unit 1, students: prove theorems about lines, angles , triangles and parallelograms. In 6th and 7th grade, students: Find the point on In future mathematic courses, students may: a directed line analyze ratios and proportional relationships calculate the distance between numbers in the segment and used them to solve problems. complex plane as the modulus of the difference, and between two In 8th grade, students: the midpoint of a segment as the average of the given points that numbers at its endpoints. study the connections between proportional partitions the relationships, lines and linear relationships. apply the same reasoning to finding a weighted segment in a average in statistics. interpret unit rate as the slope of a line. given ratio In Algebra I, students: recognize vector quantities as having both magnitude and direction. Represent vector calculate the average rate of change of a quantities by directed line segments, and use function over a specified interval. appropriate symbols for vectors and their magnitudes (e.g., v, |v|, ||v||, v). Common Misconceptions This list includes general misunderstandings and issues that frequently hinder student mastery of concepts regarding the content of this unit.
system. In Algebra I, students: graph functions on the coordinate plane. solve systems of linear equations graphically. In Geometry Unit 1, students: prove theorems about lines, angles , triangles and parallelograms. In 6th and 7th grade, students: analyze ratios and proportional relationships and used them to solve problems. In 8th grade, students: study the connections between proportional relationships, lines and linear relationships. interpret unit rate as the slope of a line. In Algebra I, students: calculate the average rate of change of a function over a specified interval. Find the point on a directed line segment between two given points that partitions the segment in a given ratio In future mathematic courses, students may: calculate the distance between numbers in the complex plane as the modulus of the difference, and the midpoint of a segment as the average of the numbers at its endpoints. apply the same reasoning to finding a weighted average in statistics. recognize vector quantities as having both magnitude and direction. Represent vector quantities by directed line segments, and use appropriate symbols for vectors and their magnitudes (e.g., v, |v|, ||v||, v). Common Misconceptions This list includes general misunderstandings and issues that frequently hinder student mastery of concepts regarding the content of this unit.
Geometry_U4_UP_Connecting_Algebra_and_Geometry_Through_Coordinates_December_11.docx