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Common Core: Math
Subject: Math
254 Results

 Student Outcomes Students prove that a dilation maps a ray to a ray, a line to a line and a circle to a circle.

 Student Outcomes Students review the properties of basic rigid motions. Students understand the properties of dilations and that a dilations is also an example of a transformation of the plane.

 Students study and prove the properties of dilations.

 Student Outcomes Students understand that the Ratio and Parallel Methods produce the same scale drawing and understand the proof of this fact. Students relate the equivalence of the Ratio and...

 Student Outcomes Students create scale drawings of polygonal figures by the Parallel Method. Students explain why angles are preserved in scale drawings created by the Parallel Method using the...

 Student Outcomes Students create scale drawings of polygonal figures by the Ratio Method. Given a figure and a scale drawing from the Ratio Method, students answer questions about the scale factor...

 Student Outcomes Students review properties of scale drawings and are able to create them.

 Students revisit what scale drawings are and discover two systematic methods of how to create them using dilations. The comparison of the two methods yield the Triangle Side Splitter Theorem and the...

 Geometry Module 5: Circles With and Without Coordinates This module brings together the ideas of similarity and congruence and the properties of length, area, and geometric constructions studied...

 Student Outcomes: Students are able to derive a distance formula and apply it.

 Student Outcomes: Students name several points on a line given by a parametric equation and provide the pointslope equation for a line given by a parametric equation. Students determine whether...

 Student Outcomes: Using coordinates, students prove that the intersection of the medians of a triangle meet at a point that is twothirds of the way along each median from the intersected vertex....

 Student Outcomes: Students find midpoints of segments and points that divide segments into 3, 4, or more proportional, equal parts.

 Students find midpoints of segments and points that divide segments into 3 or more equal and proportional parts and extend this concept prove classical results in geometry. Students are introduced...

 Student Outcomes: Students find the perimeter of a triangle or quadrilateral in the coordinate plane given a description by inequalities. Students find the area of a triangle or quadrilateral in the...

 Student Outcomes: Students find the perimeter of a quadrilateral in the coordinate plane given its vertices and edges. Students find the area of a quadrilateral in the coordinate plane given its...

 Student Outcomes: Students find the perimeter of a triangle in the coordinate plane using the distance formula. Students state and apply the formula for area of a triangle with vertices (0,0),(x1, y1...

 Students sketch the regions, determine points of intersection (vertices), and use the distance formula to calculate perimeter and the “shoelace” formula to determine area of these regions. Students...

 Student Outcomes: Students recognize parallel and perpendicular lines from slope. Students create equations for lines satisfying criteria of the kind: “Contains a given point and is parallel/...

 Student Outcomes: Students state the relationship between previously used formats for equations for lines and the new format a1x + a2y + c, recognizing the segments from (0,0) to (a1, a2) as a normal...

 Student Outcomes: Students generalize the criterion for perpendicularity of two segments that meet at a point to any two segments in the Cartesian plane. Students apply the criterion to determine if...

 Student Outcomes: Students explain the connection between the Pythagorean Theorem and the criterion for perpendicularity.

 The challenge of programming robot motion along segments parallel or perpendicular to a given segment leads to an analysis of slopes of parallel and perpendicular lines. Students write equations for...

 Student Outcomes: Given a segment in the coordinate plane, students find the segments obtained by rotating the given segment by 90° counterclockwise and clockwise about one endpoint.