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A Midpoint Miracle
Resource:
A Midpoint Miracle

Geometry & Algebra II Archive

Geo U6: Coordinate Geometry

Big Idea: Big Idea 2

This classroom task gives students the opportunity to prove a surprising fact about quadrilaterals: that if we join the midpoints of an arbitrary quadrilateral to form a new quadrilateral, then the new quadrilateral is a parallelogram, even if the original quadrilateral was not.

Open Resource
Type
Geometry: Coordinate Geometry
File
External Link
Tags
parallelogram, parallel, length, slope
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Distance and Midpoint on a Map
Resource:
Distance and Midpoint on a Map

Geometry & Algebra II Archive

Geo U6: Coordinate Geometry

Big Idea: Big Idea 2

School mapped out on a grid that applies length and slope.

Open Resource
Type
Geometry: Coordinate Geometry
File
External Link
Tags
slope, length, distance
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How Do Skytypers Write Messages?
Resource:
How Do Skytypers Write Messages?

Geometry & Algebra II Archive

Geo U1: Tools of Geometry

Big Idea: Big Idea 3

Real world application of coordinate geometry.

Open Resource
Type
Geometry: Tools of Geometry
File
External Link
Tags
coordinate plane, grid, slope, distance, length
Standards
Common Core: Supporting Standards ( G-CO.A.3, G-CO.D.12, G-CO.D.13 )
+— Details
Common Core: Supporting Standards:
G-CO.A.3

Experiment with transformations in the plane. Given a rectangle, parallelogram, trapezoid, or regular polygon, describe the rotations and reflections that carry it onto itself.
Clarification: Trapezoid is defined as “A quadrilateral with at least one pair of parallel sides.”

G-CO.D.12

Make geometric constructions. Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string, reflective devices, paper folding, dynamic geometric software, etc.). Copying a segment; copying an angle; bisecting a segment; bisecting an angle; constructing perpendicular lines, including the perpendicular bisector of a line segment; and constructing a line parallel to a given line through a point not on the line. Clarification: Constructions include but are not limited to the listed constructions. Example: constructing the median of a triangle or constructing an isosceles triangle with given lengths.

G-CO.D.13

Make geometric constructions. Construct an equilateral triangle, a square, and a regular hexagon inscribed in a circle.

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MARS Task: Classifying Equations of Parallel and Perpendicular Lines
Geometry & Algebra II Archive
Geo U6: Coordinate Geometry
Resource:
MARS Task: Classifying Equations of Parallel and Perpendicular Lines

Geometry & Algebra II Archive

Geo U6: Coordinate Geometry

This lesson unit is intended to help you assess how well students understand the relationship between the slopes of parallel and perpendicular lines and in particular, to help identify students who find it difficult to:
Find, from their equations, lines that are parallel and perpendicular.
Identify and use intercepts.
It also aims to encourage discussion on some common misconceptions about equations of lines.

Open Resource
Type
Lesson
File
External Link
Tags
slope, parallel, perpendicular, length, distance
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MARS Task: Square
Resource:
MARS Task: Square

Geometry & Algebra II Archive

Geo U6: Coordinate Geometry

Big Idea: Big Idea 2

In this task, you are given four points on a graph, and must prove that they are the corners of a square.

Open Resource
Type
Geometry: Coordinate Geometry
File
External Link
Tags
square, perpendicular, parallel, lines, length, distance, formative assessment
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