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APS Geometry Unit 6 Book
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1. MGSE9-12.G.GPE.1
- MGSE9-12.G.GPE.1 Investigation 1: Circles and the Pythagorean Theorem APS
- MGSE9-12.G.GPE.1 Investigation 1: Equation of a Circle Sketch APS
- MGSE9-12.G.GPE.1 Investigation 2: The Equation of a Circle APS
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2. MGSE9-12G.GPE4
- Quads on Coordinate Plane 1 APS
- Quad on Coordinate Plane 2 APS
- Quad on Coordinate Plane 3. APS
- Quad on Coordinate Plane 4. APS
- Quad on Coordinate Plane 5. APS
- Quad on Coordinate Plane 6. APS
- Quad on Coordinate Plane 7. APS
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3. MGSE9-12G.GPE5
- MGSE9-12.G.GPE.5: Activity 1 Sketch APS
- MGSE9-12.G.GPE.5: Activity 2 APS
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4. MGSE-12G.GPE6
- Partitioned line segment--example APS
- Partitioned line segment--general APS
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5. MGSE9-12G.GPE7
- Area and Perimeter of Triangle 1 APS
- Area and Perimeter of Triangle #2 APS
- Area and Perimeter of Rectangle 1 APS
- Area and Perimeter of Rectangle 2 APS
APS Geometry Unit 6 Book
Wendy Sanchez, Feb 17, 2019

The GSE standards addressed in this book are: Translate between the geometric description and the equation for a conic section MGSE9-12.G.GPE.1 Derive the equation of a circle of given center and radius using the Pythagorean Theorem; complete the square to find the center and radius of a circle given by an equation. Use coordinates to prove simple geometric theorems algebraically MGSE9-12.G.GPE.4 Use coordinates to prove simple geometric theorems algebraically. For example, prove or disprove that a figure defined by four given points in the coordinate plane is a rectangle; prove or disprove that the point (1, √3) lies on the circle centered at the origin and containing the point (0,2). (Focus on quadrilaterals, right triangles, and circles.) MGSE9-12.G.GPE.5 Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems (e.g., find the equation of a line parallel or perpendicular to a given line that passes through a given point). MGSE9-12.G.GPE.6 Find the point on a directed line segment between two given points that partitions the segment in a given ratio. MGSE9-12.G.GPE.7 Use coordinates to compute perimeters of polygons and areas of triangles and rectangles, e.g., using the distance formula.
Table of Contents
- MGSE9-12.G.GPE.1
- MGSE9-12.G.GPE.1 Investigation 1: Circles and the Pythagorean Theorem APS
- MGSE9-12.G.GPE.1 Investigation 1: Equation of a Circle Sketch APS
- MGSE9-12.G.GPE.1 Investigation 2: The Equation of a Circle APS
- MGSE9-12G.GPE4
- Quads on Coordinate Plane 1 APS
- Quad on Coordinate Plane 2 APS
- Quad on Coordinate Plane 3. APS
- Quad on Coordinate Plane 4. APS
- Quad on Coordinate Plane 5. APS
- Quad on Coordinate Plane 6. APS
- Quad on Coordinate Plane 7. APS
- MGSE9-12G.GPE5
- MGSE9-12.G.GPE.5: Activity 1 Sketch APS
- MGSE9-12.G.GPE.5: Activity 2 APS
- MGSE-12G.GPE6
- Partitioned line segment--example APS
- Partitioned line segment--general APS
- MGSE9-12G.GPE7
- Area and Perimeter of Triangle 1 APS
- Area and Perimeter of Triangle #2 APS
- Area and Perimeter of Rectangle 1 APS
- Area and Perimeter of Rectangle 2 APS
MGSE9-12.G.GPE.1
Derive the equation of a circle of given center and radius using the Pythagorean Theorem; complete the square to find the center and radius of a circle given by an equation.
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1. MGSE9-12.G.GPE.1 Investigation 1: Circles and the Pythagorean Theorem APS
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2. MGSE9-12.G.GPE.1 Investigation 1: Equation of a Circle Sketch APS
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3. MGSE9-12.G.GPE.1 Investigation 2: The Equation of a Circle APS
MGSE9-12.G.GPE.1 Investigation 1: Circles and the Pythagorean Theorem APS
Google Doc Link
Circles and the Pythagorean Theorem PDF
Quads on Coordinate Plane 1 APS
Show that Figure ABCD is a rhombus.


MGSE9-12.G.GPE.5: Activity 1 Sketch APS


Activity 1 Questions
Activity 1 Questions MGSE9-12G.GPE5 Google Doc
Area and Perimeter of Triangle 1 APS

